Number
list: lista
dei numeri (it), liste des nombres (fr), lista de números (es,
por), Liste besonderer Zahlen (ger), getallen n getalverzamelingen (du), seznam čísel (cz), 數表 (ch), 数の一覧 (jap), список чисел (ru), שמות מספרים (he).
0-6 | 7-12 | 13-23 | 24-69 | 70-200 | 201-∞ | 5H0P
201 |
is
a centered icosagonal number, and a Kaprekar constant
in base 4.
201n + 2 are prime, for n = 14, 15, and 16. - Patterson
201 x 627 = 126027
(the product has the same digits as its factors)
=
3 x 67 |
202 |
=
2 x 101
= (2 + 3 + 5 + 7)2 - (22 + 32 +
52 + 72) - Trotter & De
Geest
= 43 + 47 + 53 + 59 (sum of 4 consecutive primes)
202 x 11 = 2222 |
203 |
is
the sixth Bell
number.
2032 + 2030 + 2033 is
prime. |
204 |
is
a square
pyramidal number.
is the number of different squares you can find in a chessboard.
=
101 + 103 (sum of twin
primes)
= 12 + 22 + 32 + 42 +
52 + 62 + 72 + 82 (sum
of consecutive squares)
= 20 + 19 + 18 +
... + 6 + 5 + 4 (reverse
sum of consecutive integers in the number) -- Matthew Goers
= 23 + 29 + 31 + 37 + 41 + 43 (sum of consecutive
primes)
=
22 x 3 x 17
2042 =
233 + 243 + 253 |
205 |
is
the largest number that cannot be written as the sum of distinct primes of
the form 6n+1.
=
23 + 23 + 43 + 53 (sum
of cubes) |
206 |
is
the smallest number whose English name contains all five vowels
exactly once (twO hUndrEd And sIx).
=
13 + 23 + 23 + 43 +
53 (sum of consecutive cubes) |
207 |
is
the smallest possible sum of primes which are formed using each
of the digits 1 through 9:
207 = 89 + 61 + 43 + 7 + 5 + 2 - Gupta
curiously, the first half of the digits of 2074 are
a permutation of
the last half of the digits: 1836036801.
= 32 · 23
= 22 + 32 + 52 + 132
CIVIC is
a palindrome and the anagram of the Roman numeral CCVII (207). |
208 |
is
a tetranacci
number.
is
a divisor of 252 - 1
=
24 x 13
= 82 + 122
= 28 - 48
= 22 + 32 + 52 + 72 +
112 - Sladcik
= 23 + 23 + 43 + 43 +
43 |
209 |
is
a Harshad
number and the smallest quasi-Carmichael
number in base 9.
is the smallest number with 6 representations as a sum of 3 squares:
209 = 12 + 82 + 122 = 22 +
32 + 142 = 22 + 62 +
132 = 32 + 102 + 102 =
42 + 72 + 122 = 82 +
82 + 92
The
curve 42x2 - y2 = 209
contains the 'prime points' (3, 13), (5, 29), (7, 43), and (13,
83) - Buddenhagen
88
+ 209 = 297 and 88,209 = 2972 (see
number 494 furtherbelow)
=
16 + 25 + 34 + 43 +
52 + 61 - posted by Jim
O'Donohoe
= 33 + 33 + 33 + 43 +
43
= 11 · 19 |
210 |
is
the product of the first 4 primes:
= 2 x 3 x 5 x 7
is a triangular number.
= 1 + 2 + 3 + 4 + ... + 17 + 18 + 19 + 20 |
211 |
is
a Chen
prime.
=
35 - 25
= 67 + 71 + 73 (sum of consecutive primes) |
212 |
is
the lowest even 3-digit integer, ABC, such that (ABC)/(A
x B x B) is also prime.
curiously, 4 out of 5 digits of 2122 are the same (44944).
212° Fahrenheit = 100° Celsius (the boiling point of water)
= 22 x
53 |
213 |
=
3 x 71
= 23 + 23 + 23 + 43 +
53 |
214 |
is
the number of bones in a human skeleton.
is the number of Chinese radicals (main characters) essential for
locating words in Chinese dictionaries.
= 2 x 107
= 23 + 33 + 33 + 33 +
53 |
215 |
=
63 + (- 1)3 = 63 -
13 (sum and difference of cubes) - G.
Sarcone
= 555 in base 6 |
216 |
is
the smallest cube which
can be written as the sum of 3 cubes: 33 + 43 +
53
= 216 = 61+2
= 216 = [(2
+ 1)!]6 (autothecal
number)
= 21 +
20 + 19 + ... + 8 + 7 + 6 (reverse
sum of consecutive integers in the number) -- Matthew Goers
Is
the 'constant' of the smallest multiplication
magic square:
|
217 |
is
a Gaglütz
number: 217 modulo 712 = 217 -
G. Sarcone
is a centered hexagonal
number, and a Kaprekar
constant in base 2.
=
1 + 2 + 4 + 5 + 10 + 20 + 25 + 50 + 100 (sum of
the factors of the number 100)
= 13 + 63 = (- 8)3 + 93 (sum
of cubes)
= 93 - 83 (difference
of consecutive cubes) |
218 |
is
a nontotient
number, and the number of 4-vertex digraphs.
=
72 + 132 (sum of squares) - Walter
Seaman
= 73 - 53 (difference of cubes) |
219 |
is
a semiprime
number, and the number of space
groups, not including mirror images.
=
33 + 43 + 43 + 43 |
220 |
is
the smallest amicable
number.
= 47
+ 53 + 59 + 61 (sum of consecutive primes) |
221 |
is
the number of 7-vertex Hamiltonian planar
graphs.
221b,
Baker Street, London, England is the address of Sherlock Holmes.
=
102 + 112
= 13 x 17
is
the sum of 5 consecutive primes: 37 + 41 + 43 + 47 + 53
is also the sum of 9 consecutive primes:
11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 |
222 |
is
the number of lattices on
10 unlabeled nodes.
= 2 x 3 x 37
= 109 + 113 (sum of consecutive primes) |
223 |
is
a long
prime.
the
numbers of the series 23, 223, 2223, 22223,
222223, 2222223, 22222223, 222222223, 2222222223... (in the preceding
list only 23, 223, and 22222223 are primes) are formed with the
formula: (2 x 10n + 7)/9
=
71 + 73 + 79 (sum of consecutive primes)
= 19 + 23 + 29 + 31 + 37 + 41 + 43 |
224 |
=
25 x 7
= 23 + 33 + 43 + 53 (sum
of consecutive cubes)
= 28 - 25 |
225 |
is
an octagonal
square number.
=
1132 - 1122
= (1 + 2 + 3 + 4 + 5)2
= 13 + 23 + 33 + 43 +
53
= 32 x 52 = 15 x 15 |
226 |
is
a centered
pentagonal number.
=
2 x 113
= 2(72 + 82) |
227 |
is
a prime number and twin
prime with 229, it is also the number of 8-edge connected planar
graphs.
=
2 + 3 + 5 + 7 + (2 x 3 x 5 x 7) [sum of the sum
and the product of the first 4 primes]
= 23 + 33 + 43 + 43 +
43
227n = 233n + 239n -
251n - 257n + 263n ,
with n = 1, 2
2227 -
1 is the smallest composite Mersenne
number about which we don't know the divisors. |
228 |
is 77-gonal
number and an abundant
number.
=
444 in base 7.
= 22 x 3 x 19
= 29 + 31 + 37 + 41 + 43 + 47 (sum of consecutive
primes)
= 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 (sum
of 10 consecutive primes) |
229 |
is
prime, and twin
prime with 227.
is also the smallest prime which
remains prime when
added to its reverse.
is the number of different projective
configurations, in which 12 points and 12 lines meet with 3
lines through each of the points and 3 points on each of the lines.
=
126(2/6 + 3/7 + 4/8 + 5/9)
=
44 - 33 |
230 |
is
the number of space
groups, describing all possible crystal symmetries.
=
62 + 72 + 82 + 92 (sum
of consecutive squares) |
231 |
is
a triangular number: 231 = 1 + 2 + 3 + … + 19 + 20 + 21
is also an hexagonal
and an octahedral
number.
is the number of partitions of
16.
is
exactly the number of cubic inches in an American gallon. The
fact that this is exact (by definition) makes it useful for deriving
other conversion constants, for instance, that there are 12 x
12 x 12/231 = 7.4805194... gallons in one cubic foot. This removes
some of the uncertainties of rounding. -- Charles
Gardner, Salford, USA.
=
22 + 32 + 72 + 132 (sum
of prime squares)
1/231 =
3/7 - 1/3 - 1/11 |
232 |
is
decagonal number.
is the number of 7 by 7 symmetric permutation
matrices.
=
23 x 29
= 24 + 63 = 23(22 +
52) = 2(42 + 102) |
233 |
is
a Fibonacci
prime. If divided by the Fibonacci number 144, it approximates
the golden ratio!
233
can be the hypotenuse of a Pythagorean
triangle; in fact it is also the smallest 3-digit number
such that it and its neighbors (232, 234) can be written as a
sum of 2 squares.
=
5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 (sum
of consecutive primes) |
234 |
=
2 x 32 x 13
= 35 - 32
= 32 + 152
=
2(62 + 92) |
235 |
is
a centered
triangular number (= [3xn2 + 3xn +
2] / 2, n = 12).
is the smallest integer whose first two digits are different primes
such that their sum equals the 3rd digit.
is the number of trees with
11 vertices.
=
73 + 79 + 83 (sum of consecutive primes)
235 lunar
months made up almost exactly 19 solar years
(Metonic
cycle: 19 tropical years ≈ 235 synodic months ≈ 6939.6...
days ) |
236 |
the
product of the digits of 236 is the reverse of the sum of its
prime factors:
2 x 3 x 6 = 36 and
2 + 2 + 59 = 63
=
22 x 59
= 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 (sum
of first consecutive primes) |
237 |
is
the smallest 3-digit number with its digits being 3 different
primes that is not prime nor any of the permutations of its digits
represent a prime number.
is the lowest number such that its first 3 multiples contain the
digit 7.
'Room
237' plays a relevant role in the Stanley Kubrick film "The
Shining".
Researchers
count 237
reasons to have sex! |
238 |
=
2 x 7 x 17
= 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 (sum
of the first 13 primes) |
239 |
is
the largest number that cannot be written as a sum of 8 or fewer cubes:
239 = 53 + 3 x 33 + 4 x 23 + 13 (=
9 cubes)
239
= 2 x 43 +
4 x 33 +
3 x 13 (=
9 cubes) ...
etc.
2392 =
2 x 134 - 1
This
prime number appears in one of the earliest known geometrically
converging formulas for computing :
/4
= 4 arctan(1/5) - arctan(1/239) |
240 |
is
the smallest number with 20 divisors.
nx - nx-4 is divisible by 240 if x > 7.
The
maximum number of divisors for any integer less than 1,000,000
is 240. Only 5 numbers less than 1,000,000 have
240 divisors: 720720, 831600, 942480, 982800, 997920.
A
cholesterol level of 240 and above is considered high risk. |
241 |
is
a prime number.
=
(15 + 4i)(15 - 4i)
= (28 + 48 + 18) / (24 +
44 + 14)
can
be represented as:
241 = 42 + 152 = 32 + 62 +
142 = 62 + 62 + 132
is
the sum of 170 and its reverse:
241 = 170 + 071
2412 =
292812 + 501602
2412 = 290412 - 290402 (Pythagorean
triples) |
242 |
is
the smallest number n where n through n+3
are all products of 3 or more primes.
= 11 x 22
= 59 + 60 + 61 + 62
= 44 + 55 + 66 + 77 |
243 |
is
the sum of five consecutive primes:
41 + 43 + 47 + 53 + 59
= 35
= 100 000 in base 3
1 / 243 = 0.004115226337448559... |
244 |
is
a nontotient,
and the smallest number (except 2) that can be written as the
sum of 2 squares or
the sum of 2 fifth powers.
=
13 + 33 + 63 (sum
of cubes) |
245 |
is
a stella
octangula number.
= 5 x 72
= 82 + 92 + 102 (sum
of consecutive squares) |
246 |
= 9C2 + 9C4 + 9C6
=
2 x 3 x 41
= 33 + 33 + 43 + 43 +
43 (sum of cubes) |
247 |
is
the smallest possible difference between 2 integers that together
contain each digit exactly once.
its digits sum to its smallest prime factor:
247 = 13 x 19 and 2 + 4 + 7 = 13 |
248 |
=
28 - 23 |
249 |
=
3 x 83 |
250 |
=
2 x 53 |
251 |
is
the smallest number that can be written as the sum of 3 cubes in
2 ways:
= 23 + 33 + 63 = 13 +
53 + 53 |
252 |
is
the 5th central
binomial coefficient.
=
(10 x 9 x 8 x 7 x 6)/(5 x 4 x 3 x 2 x 1)
252
x 252 = 441 x 144 (palindromic equality)
If
you flip a coin 10 times in a row, there are exactly 252 ways
in which it can turn out that you get exactly 5 heads and 5 tails. |
253 |
is
the lowest non-trivial triangular
star number.
=
1 + 2 + 3 + … + 20 + 21 + 22
= 1⁄2 (22 x 23)
= 43 + 43 + 53 |
254 |
=
28 - 21 |
255 |
=
11111111 in base 2.
255
x 807 = 205785
(the product has the same digits as its factors) |
256 |
is
the smallest 8th power (besides 1):
= 28 = 44 = 162
=
1 0000 00002
= 10016
=
29 - 28
= 43 + 43 + 43 + 43
=
35 + 32 + 31 + 30
256
= 2 x 5 +
6 |
257 |
is
a Fermat
prime.
=
223+
1
=
18 + 28
Most
corpses in the wild are skeletonized or mummified according to
the formula: y = (257 · 5)/x, where x
is the average temperature in Centigrade, and y is the total
number of days. |
258 |
=
2 x 3 x 43
= 61 + 62 + 63
= 23 + 53 + 53 (sum
of cubes)
= 59 + 61 + 67 + 71 = 127 + 131 (sum of consecutive
primes)
is
a value of n such that n(n + 9) forms
a palindrome:
258 x (258 + 9) = 68886
is
the minimum magic sum of a magic square utilizing 16 consecutive
primes. See below:
Magic
square with magic constant 258 made with consecutive
primes!
79 |
89 |
53 |
37 |
47 |
67 |
61 |
83 |
31 |
59 |
71 |
97 |
101 |
43 |
73 |
41 |
|
259 |
=
1111 in base 6.
= 13 + 23 + 53 + 53
= 23 + 23 + 33 + 63 |
260 |
is
the constant of a 8x8 magic square.
= 22 x 5 x 13
= (1 + 2 + 3 + … + 62 + 63 + 64) / 8
is
the number of days in the "Tzol k'in", the almanac
cycle Mayans used for divination.
are
the pounds of oxygen that one tree can produce each year. |
261 |
is
the number of different ways to dissect a 16-gon into
7 quadrilaterals. |
262 |
is
the 9th meandric number. |
263 |
is
is a prime number that is equal to the arithmetic mean of the
nearest primes above and below: (269 + 257) / 2
=
43 + 47 + 53 + 59 + 61 (sum of consecutive primes) |
264 |
is
an integer n such that n2 + 1 is
a prime:
2642 + 1 = 69697
seems to be the largest number whose square is 'undulating': 2642 = 69696
n10 -
1 is divisible by 264 if n is prime and n > 3.
= 25 + 63 + 42
= 23 + 43 + 43 + 43 +
43 (sum of five cubes)
= 172 - 52 (difference
of squares)
=
11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 (sum
of consecutive primes)
Sleep
deprivation record: 264 is the longest documented number of hours a
person has gone without sleep. |
265 |
is
a Padovan number and a centered square number.
is the hypotenuse of two Pythagorean triples:
2652 = 232 + 2642 = 962 +
2472
is the number of derangements of
6 items.
=
112 + 122 (sum of consecutive
squares)
= 32 + 162
=
!6 = 6!(1 - 1/1! + 1/2! - 1/3! + 1/4! - 1/5! + 1/6!) |
266 |
is
a divisor of 113 - 1.
=
23 + 23 + 53 + 53 (sum
of four cubes)
Mathematically
correct result derived by incorrect calculation method (anomalous
cancellation):
266 = 266 = 2
665 665 5
In
nature, there are 266 different kinds of atoms.
The
gestation period for humans is about 266 days. |
267 |
is
a deficient
number, and the number of planar
partitions of 12.
=
13 + 23 + 23 + 53 +
53
= 23 + 23 + 23 + 33 +
63 (sum of cubes) |
268 |
seems
to be the smallest number whose product of digits is 6 times
the sum of its digits.
=
131 + 137 (sum of consecutive primes) |
269 |
is
a prime
number, and twin
prime with 271.
=
83 + 89 + 97 = 131 + 137 (sum of consecutive primes)
The 269th day
of a non-leap year is 26 September (26/9).
-- Claudio Meller |
270 |
is
a harmonic
divisor number.
is the smallest positive integer that has divisors ending by digits
1, 2, 3, …, 7, 8, 9.
is a number n such that 6n - 1 and 6n +
1 are twin
primes: 6x270 - 1 = 1619 and 6x270 + 1 = 1621
270
- 1 and 270 + 1 are primes.
2702 + 1 is prime.
10! has 270 divisors.
=
19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 (sum of
consecutive primes)
= 33 + 33 + 63 (sum
of cubes)
sin270° =
cos180° = tan135° = –1
cos270° = sin180° = tan180° = cot90° =
= cot270° = 0
According
to Worldwatch, 270 thousand
trees are flushed down the toilet or end up as garbage every
day around the world (data 2010).
Owls
are able to rotate their head a full 270° to compensate for
their ocular immobility. |
271 |
is
a prime and
a centered
hexagonal number.
is the smallest prime p such that (p - 1) and
(p + 1) are both divisible by a cube.
=
103 - 93 (difference of
cubes)
=
7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 (sum
of consecutive primes) |
272 |
is
the 7th Euler
number.
= 16 x 17 = 172 - 171
= 61 + 67 + 71 + 73 (sum of consecutive primes) |
273 |
=
333 in base 9.
= 111 in base 6.
-273.15 °C
is the lowest temperature theoretically obtainable (absolute
zero).
273 seconds
was the duration of the silent symphony 4'33'' by
John Cage. The piece consists of the pianist going to the piano,
and not hitting any keys for four minutes and thirty-three seconds.
In other words, the entire piece consists of silences! |
274 |
is
a tribonacci
number: 44 + 81 + 149
sum of cubes: 23 + 23 + 23 + 53 +
53 |
275 |
=
52 x 11 |
276 |
is
the sum of the first three 5th powers:
= 15 + 25 + 35 |
277 |
is
a prime and
a Perrin
number.
=
(2 + 7)2 + (7 + 7)2
= 33 + 53 + 53 (sum
of cubes)
1/2 + 1/3 + 1/5 + 1/7 + 1/11 + ... + 1/271 + 1/277 > 2 |
278 |
is
a nontotient.
=
2 x 139 |
279 |
is
the smallest number whose product of digits is 7 times the sum
of its digits. |
280 |
is
an octagonal
number.
= 23 x 5 x 7 |
281 |
is
a prime number.
=
29 + 31 + 37 + 41 + 43 + 47 + 53 (sum of consecutive
primes) |
282 |
is
the sum of its proper
divisors containing the digit 4:
47 + 94 + 141
is the smallest multi-digit palindrome sandwiched between twin
primes: 281 and 283. |
283 |
is
a prime number.
= 25 + 8 + 35 |
284 |
is
an amicable
number (with 220).
= 22 x 71 |
285 |
=
12 + 22 + 32 + … + 72 +
82 + 92 (sum of consecutive
squares) |
286 |
is
a tetrahedral
number.
is the number of rooted
trees with 9 vertices.
=
C133 = C1310 |
287 |
=
7 x 41
= 89
+ 97 + 101
= 47 + 53 + 59 + 61 + 67
= 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 (sums of consecutive
primes) |
288 |
seems
to be the smallest non-palindrome and
non-square that when multiplied by its reverse gives a square:
288 x 882 = 5042
is a superfactorial, a product of consecutive factorials and a product of descending powers, as well as being a sum of ascending powers:
288
= 1! · 2! · 3! · 4! = 14 · 23 · 32 · 41 = 11 + 22 + 33 + 44 |
289 |
is
a square (172)
with non-decreasing digits.
=
13 + 23 + 43 + 63
= 00 + 11 + 22 + 33 +
44
289 =
(8 + 9)2
Radio
frequences of 289 kHz are fatal to insects. |
290 |
is
the product of three distinct prime numbers:
= 2 x 5 x 29
= 67
+ 71 + 73 + 79 (sum of consecutive prime numbers) |
291 |
=
3 x 97 |
292 |
is
the number of ways to make change for 1 dollar (or for 1 Euro,
with 1, 5 and 25 cents). |
293 |
is
a prime number.
=
11 + 101 + 181 (sum of the first 3 tetradic
primes)
= 23 + 23 + 33 + 53 +
53 (sum of cubes) |
294 |
=
2 x 3 x 72
111152 - 2942 =
123,456,789
"Inscribed
Lotus" (Padma Vrtta, is constructed with
the numbers of the 12x4 magic rectangle), every group of 12 numbers
has the
same sum 294.
|
295 |
=
5 x 59 |
296 |
=
23 x 37 |
297 |
is
a Kaprekar
number:
2972 = 88 209; 297 = 88 + 209 |
298 |
=
2 x 149 |
299 |
is
the smallest number whose sum of digits is 20.
is a self-number.
=
13 x 23
is
the maximum number of pieces into which a 3-dimensional space
can be cut with a given number of plane cuts: a sphere sliced
with 12 straight cuts produces 299 pieces. |
300 |
is
a triangular number, that is the sum of all positive integers
up to 24.
is the largest possible score in bowling.
=
22 x 3 x 52
=
149 + 151 (sum of twin primes)
= 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 (sum of consecutive
primes)
300
m/s is the speed of the sound in the air.
Different
late Roman notations of number 300:
CCC, or XVxx, or IIIc.
All
human beings are born with 300 bones, but adults only have 206
because some fuse together naturally.
The
Spartan king Leonidas led an extremely small army of 300 Greek
Soldiers to hold off an invading Persian army more than 20 times
as large. The "Three Hundred" (οι τριακόσιοι)
was the name given to those Spartans who fought to the death
at the Battle
of Thermopylae.
"Scovilles" are
the number of units of water needed to render a unit of pepper ‘untingly’ to
the human tongue. For instance, habaneros are
the hottest chili peppers and rate around 200,000 - 350,000 Scoville
units; that is, 1 cc of habanero chili after being diluted in 300
liters of water still gives the feeling of hotness! |
301 |
is
a happy
number, and a 6-hyperperfect
number.
=
7 x 43
= 97 + 101 + 103 (sum of consecutive primes)
"I
have some eggs in my basket. If I count them in 2s, in 3s, in
4s, in 5s, or in 6s I have always 1 egg left over. But if I count
them in 7s there are no remainder. How many eggs are in my basket?" Solution:
301. |
302 |
=
92 + 102 + 112 (sum
of consecutive squares) |
303 |
is
a lucky
number.
its
cubic power is a concatenation of other cubes:
3033 = 27818127 (27
8 1 8 1 27)
A Centillion has 303 zeros
and is the highest number recognized by orthodox mathematics... Any
number higher than a Centillion is considered an unimaginable abstraction
belonging to the realm of infinity. |
304 |
is
the difference of the third pair of amicable
numbers:
2924 - 2620 = 304
relationships
between 304 and 27:
304 = 3 x 10 x 10 + 4 and
27 = 3 + 10 + 10 + 4
304 = 24 x 19 and
27 = 2 x 4 + 19
=
41 + 43 + 47 + 53 + 59 + 61 (sum of consecutive
primes) |
305 |
is
the 5th 'hexagonal prism' number. An hexagonal prism
number is of the form (n + 1)(3n2 +
3n + 1).
3052 =
2072 + 2242 = 1362 + 2732 (Pythagorean
triple)
=
5 x 61 |
306 |
=
2 x 32 x 17
= 71 + 73 + 79 + 83 (sum of consecutive primes) |
307 |
is
a prime,
and a non-palindrome having a palindromic square:
3072 = 94249
= 13 +
53 + 33 (sum of cubes) |
308 |
is
a Harshad
number, and a heptagonal
pyramidal number.
=
151 + 157 (sum of consecutive primes) |
311 |
is
a permutable prime.
Four
distinct sums of consecutive primes:
= 101 + 103 + 107
= 53 + 59 + 61 + 67 + 71
= 31 + 37 + 41 + 43 + 47 + 53 + 59
= 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47
The
11th letter of the alphabet is the letter 'K'; thus 3 times 11
equals 'KKK', or Ku Klux Klan. 311 is sometimes used
as a greeting to demonstrate membership in the KKK or simply
sympathy with the Klan and its ideology. There is also a popular
rock band with the name "311" which is not at all hate-oriented. |
312 |
=
23 x 3 x 13
= 2222 in base 5.
3122 =
143 + 153 + 163 + 173 +
183 + 193 + 203 + 213 +
223 + 233 + 243 + 253 |
313 |
is
a palindromic
prime.
is the only 3-digit number being a palindromic prime in base 10
and in base 2 (=100111001) as well. - Larsen
[Editor's
note: the next palindromic
prime in both base 10 and
base 2 is 7284717174827]
=
122 + 132
3443
/ 313 =11
37873 / 313 = 121
(all terms are palindromic!)
3132 =
252 + 3122 (Pytagorean triple)
10313 +
313 is prime
The
probability that at least five of 313 people will share the same
birthday is greater than 50%.
The
reciprocal of 313 (=1/313) produces a string of decimals that
repeats itself after 312 (one less than itself) decimals.
is
the licence plate number on Donald Duck's car.
A
study carried out in hotels, restaurants, banks, offices and
airports found 313 colony forming units of bacteria
on every square centimeter of lift button. An elevator buttons
is actually 40 times dirtier than toilet seats! |
315 |
=
32 x 5 x 7
= (4 + 3)(4 + 1)(4 + 5)
= (10 - 3)(10 - 1)(10 - 5)
= 7! / 42
= 8! / 27 |
317 |
is
a prime number.
The number made with three hundred and seventeen 1's is a repunit prime.
317 x 461 = 146137
(the product has the same digits as its factors) |
318 |
represents
the number of unlabeled partially
ordered sets of 6 elements.
=
7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 (sum
of consecutive primes) |
319 |
cannot
be represented as the sum of fewer than 19 fourth powers: 3 x
34 + 4 x 24 + 12 x 14
is the smallest number with the property that the partition with
the largest product does not have the largest number of parts. -Selfridge
=
103 + 107 + 109 (number of consecutive primes) |
320 |
is
the maximum determinant of
a 10 by 10 matrix of zeros and ones.
320!+1
is prime.
=
26 · 5 = 25 · (2·5) |
322 |
is
the 12th Lucas
number.
The
emblem of the secret society 'Skull and Bones' consists of a skull
and crossbones, along with the number 322. The Order
of Skull and Bones is based at Yale University, in New Haven,
Connecticut. |
323 |
is
the product of twin
primes (twin primes are pairs of
primes of the form p, p+2): 323 = 17
x 19
=
19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 (sum
of consecutive primes) |
324 |
=
182
= 73 + 79 + 83 + 89 (sum of consecutive primes)
324 = 32 x 4
324!
- 1 is prime...
Magic circles known as "rings of Callicrates". Find the hidden pattern!
|
325 |
is
a 3-hyperperfect
number.
= 12 + 182
= 62 + 172
= 102 + 152
= 52 x 13 |
326 |
=
3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 (sum
of consecutive primes) |
327 |
1
x 327 = 327
2 x 327 = 654
3 x 327 = 981 (the 3 results contain every digit from
1 to 9 exactly once) |
330 |
=
2 x 3 x 5 x 11
= 43 + 47 + 53 + 59 + 61 + 67 (sum of consecutive
primes)
= 62 + 72 + 82 + 92 +
102 (sum of consecutive squares)
= 11C4 |
331 |
is
a prime number.
= 112 - 102
=
59 + 61 + 67 + 71 + 73 (sum of consecutive primes)
331
3331
33331
333331
3333331
33333331 |
133
1333
13333
133333
1333333
13333333 |
Primes |
Composites |
Interestingly, the 7th term in the prime sequence above is not prime, as it can be divided by 17. Moreover, when this sequence begins with 31, every 15th term is divisible by 31. In fact, any sequence following the pattern ab, abb, abbb, abbbb (where a and b are digits) will have terms that are periodically divisible by the two-digit number ab. |
333 |
is
the number of 7-hexes.
is a half-evil
number: 666/2
represents the millesimal finenes of 8 carat.
= 32 x 37
= 370 - 37
Number
patterns:
166,500,333 =
1663 + 5003 + 3333
333,667,000
= 3333 + 6673 +
0003
333,667,001
= 3333 + 6673 +
0013 |
335 |
is
divisible by the number of primes below it. |
336 |
336
x 951 = 319530
(the product has the same digits as its factors)
=
24 x 3 x 7
= 8P3
=
6 x 7 x 8 |
337 |
is
a permutable prime with
373 and 733.
is a 4-dimensional
centered cube prime (primes of the form n4+(n+1)4 )
= 223 + 322 -
Kulsha |
338 |
=
2 x 132 |
339 |
=
3 x 113
Minuscule
339, is a Greek minuscule manuscript. This codex contains
a complete text of the New Testament on 200 parchment leaves (21.6
x 15.7 cm). It is written in two columns per page, in 56-58 lines
per page. |
340 |
is
a value of n for which n!+1 is prime.
=
17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 (sum
of 10 consecutive primes)
= 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 (sum of
8 consecutive primes)
=
41 + 42 + 43 + 44 (sum
of powers of 4)
= 122 + 142 = 42 + 182 |
341 |
is
the smallest pseudoprime in
base 2. In fact, 341 "fools" the primality
test for base 2 because it gives the same result a prime
number would: 2(341-1) is 1 modulo 341.
is a star number.
=
11 x 31
= 37 + 41 + 43 + 47 + 53 + 59 + 61 (sum of consecutive
primes)
= 40 + 41 + 42 + 43 +
44 (sum of powers of 4) |
342 |
=
= 2 x 32 x 19
= 666 in base 7.
= 18 x 19
= 13 + 53 + 63 = 73 -
13 |
343 |
= 343 =
(3 + 4)3 (autothecal
number)
= 180 + 181 + 182 |
344 |
is
an octahedral
number: 8(2 x 82 + 1)/3
= 23 x 43
= 43 + 43 + 63 = 13 +
73 |
345 |
is
the average number of squirts from a cow's udder needed to yeld
a US gallon of milk.
=
3 x 5 x 23 |
346 |
is
a Smith
number.
= 2 x 173 |
347 |
is
a prime number.
= 347 = 4
+ 73 |
348 |
=
22 x 3 x 29
= 79 + 83 + 89 + 97 (sum of consecutive primes) |
349 |
is
a prime number.
= 109 + 113 + 127 (sum of consecutive primes) |
350 |
=
2 x 52 x 7 |
351 |
is
a triangular number and the smallest number n where n, n+1,
and n+2 are all products of 4 or more primes.
= 33 x
13
= 61 + 67 + 71 + 73 + 79 (sum of consecutive primes) |
352 |
are
the different arrangements of 9 non-attacking Queens on an 9
by 9 chessboard.
=
22 x 11
= 173 + 179 (sum of consecutive primes) |
353 |
is
the smallest number whose 4th power can be written
as the sum of four 4th powers:
3534 = 304 + 1204 + 2724 +
3154
= 13
+ 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 (sum
of consecutive primes) |
354 |
=
14 + 24 + 34 + 44 (sum
of the first four 4th powers)
= 354 = 3(5!
- 4) (autothecal
number) |
355 |
is
the number of labeled topologies with
4 elements.
= 355 = 3 x 5!
- 5 (autothecal
number) |
360 |
is
the number of degrees in a circle. This size for angular division
was chosen by the Babylonians because it is 602/10
and because it is close to the distance the sun moves through
the zodiac each day... In other words, it is close to the length
of the tropical year. In n days, the sun moves just
about n degrees across the zodiac.
can
be evenly factored in 24 different ways — more than any
other number of this size.
=
23 x 32 x 5
= 360 = 3! x 60 (autothecal
number) |
361 |
is
the number of possible positions on a Go board.
= 19 x 19 |
362 |
=
2 x 181 = 2 x (92 + 102) |
363 |
=
3 x 112
= 31 + 32 + 33 + 34 +
35
= 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59
(sum of consecutive primes)
3632 +
4842 = (11 x 55)2 (quasi-palindromic pythagorean
triples) - G. Sarcone |
364 |
is
a tetrahedral number.
= 12 x 13 x 14/6
= 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53
(sum of consecutive primes)
= 14C3 = 14C11 (Pascal's
triangle number) |
365 |
is
the number of the days in a year.
is the smallest number that can be written as a sum of consecutive squares in
more than 1 way:
= 102 + 112 + 122 = 132 +
142 |
366 |
is
the number of days in a leap year.
= 82 + 92 + 102+ 112 |
367 |
is
known as the largest number whose square has strictly increasing
digits: 3672 = 134689 |
369 |
represents
the number of octominoes.
=
(1 + 2 + 3 + ... + 79 + 80 + 81) / 9 |
370 |
is
a Narcistic or Armstrong
number since it equals the sum of the cube of its digits:
33 + 73 + 03
is
the average of the sum of all the possible permutations
that we can made with it:
073 + 037 + 307 + 370 + 703 + 730 = 2220
Average: 2220/6= 370
other numbers with this property are: 407, 481, 518, 592, 629 and
all repdigit numbes. You can see more examples here.
-- Posted by Claudio Meller
=
83 + 89 + 97 + 101 (sum of consecutive primes) |
371 |
is
an Armstrong
number since it equals the sum of the cube of its digits:
33 + 73 + 13
=
7 x 53
=
7 + 11 + 13 + ... + 43 + 47 + 53 (sum
of consecutive primes)
=
41 + 43 + 47 + 53 + 59 + 61 + 67 (sum
of consecutive primes) |
372 |
is
a hexagonal
pyramidal number.
=
22 x 3 x 31
=
31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 (sum of
consecutive primes) |
373 |
is
a permutable prime.
=
32 + 52 + 72 + 112 +
132 (sum of consecutive square primes)
= 67 + 71 + 73 + 79 + 83 (sum of consecutive
primes) |
374 |
is
the smallest number that can be written as the sum of 3 squares in
8 different ways
=
2 x 11 x 17 |
375 |
is
a truncated
tetrahedral number.
represents the millesimal finenes of 9 carat.
=
3 x 53 |
376 |
is
an automorphic
number:
3762 = 141376
3763 = 53157376
3764 = 19987173376 ...
=
23 x 47 |
377 |
is
the 14th Fibonacci
number. |
381 |
is
a Kaprekar
constant in base 2.
381
x 969 = 369189
(the product has the same digits as its factors) |
383 |
is
a palindromic prime number.
is the number of 7-vertex Hamiltonian
graphs.
=
101 + 131 + 151 (sum of 3 consecutive palindromic
numbers) |
384 |
=
27 x 3
= 3 x 8 x 42
= 53
+ 59 + 61 + 67 + 71 + 73 (sum of consecutive primes) |
385 |
=
5 x 7 x 11
is a square
pyramidal number because:
12 + 22 + 32 + … + 82 +
92 + 102 = 385
is the number of partitions of
18.
=
1932 - 1922 |
386 |
is
a nonagonal and
a centered
heptagonal number. |
390 |
is
the 12th term in the sequence involving rooted polygonal cacti
(Husimi graphs) with n nodes.
=
193 + 197 (sum of consecutive primes)
= 89 + 97 + 101 + 103 (sum of 4 consecutive primes) |
391 |
is
a centered
pentagonal number. |
392 |
is
a Harshad
number and a Kaprekar
constant in base 5.
=
23 x 72 |
399 |
is
a value of n for which n!+1 is prime.
is a Harshad
number and the smallest Lucas-Carmichael
number.
=
71 + 72 + 73
= 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 (sum
of consecutive primes) |
400 |
is
a square number. The sum of the divisors of 400 is also a square:
961 = 312
= 1111 in base 7.
= 70 + 71 + 72 + 73
= 70 + 71 + 72 + 180 +
181 + 182
= 122 + 162 (sum
of 2 squares)
= 522 - 482 (difference
of 2 squares)
= 24 x 52
= 1 + 3 + 5 + … + 35 + 37 + 39 (sum of consecutive
odd numbers)
In
the Ajië language (spoken on the east coast of
New Caledonia, in Houailou) the number 20 is called “rha
kamo” meaning ‘one man’, because every human
has 20 fingers. Hence, the number 400 is called “rha kamo
kamo” for 20 x 20.
Even more interesting, the number 15 is called “paroro na
ma dexa e â” which means ‘10-and-another-side-limb’ (a
limb having 5 fingers).
400
is the number of years in the repeating cycle of leap/non-leap
years.
400 is the smallest integral number of years that contains an integral
number of days, 146,097. (See rules for leap years in the entry
for 29) --
Bob Morris
Just
one cow can belch (and fart) enough harmful methane gas in a
single day to fill around 400 liter bottles. |
401 |
is
the number of connected planar Eulerian
graphs with 9 vertices.
= 72 + 82 + 122 + 122 |
402 |
=
33 + 53 + 53 + 53
= 2 x 3 x 67 |
403 |
=
23 + 33 + 33 + 53 +
63
= 13 x 31 |
405 |
is
a pentagonal
pyramidal number.
= 43 + 53 + 63
= 34 + 34 + 34 + 34 +
34 |
406 |
=
13 + 43 + 53 + 63
= 13 + 23 + 33 + 33 +
73
406 is
a poem by John Boyle O'Reilly. |
407 |
is
a Narcistic or Armstrong
number since it equals the sum of the cube of its digits:
43 + 03 + 73
=
11 x 37 |
410 |
is
a sphenic
number, that is a positive number which is the product of
three distinct prime numbers: 2 x 5 x 41
is the smallest number that can be expressed as the sum of 2 distinct primes in
2 ways: 199 + 211 and 97 + 313
=
72 + 192 = 112 + 172
=
59 + 61 + 67 + 71 + 73 + 79 (sum of consecutive
primes) |
412 |
cannot
be written as a sum of 3 squares.
=
13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 (sum
of consecutive primes)
The Dead
Sea, located in the heart of the Rift Valley depression, is the lowest
sea on earth and at 412 meters below sea level. |
415 |
=
72 + 82 + 92 + 102 +
112 (sum of consecutive squares)
= (45 + 15 + 55) / (4 + 1 + 5) |
416 |
416,768 = 7682 – 4162
is the
nickname for Toronto. |
417 |
represents
the millesimal finenes of 10 carat. |
419 |
is
a twin
prime number.
is the smallest number which, when divided by 2, 3, 4, 5, 6 and
7, leaves remainders of 1, 2, 3, 4, 5 and 6 respectively.
is also a Sophie
Germain prime because 2 x 419 + 1 = 839 is prime. In number
theory, a prime number p is a Sophie Germain prime if
2p + 1 is also prime.
is
a divisor of 1311 - 1
419
scam (aka Nigerian advance fee fraud)
is a type of fraud named after the article of the Nigerian
criminal code under which it is prosecuted. |
420 |
is
the smallest integer divisible by 1 through 7.
is the sum of four consecutive primes:
101 + 103 + 107 + 109
=
20 x 21
420,
4:20 or 4/20 refers to consumption of cannabis and, by extension,
a way to identify oneself with cannabis subculture. The date April
20 is sometimes referred to as "Weed Day" or "Pot
Day".
Section 420 of
the Indian Penal Code (also used in Pakistan, Bangladesh and
Afghanistan) has become a slang reference for a con-artist or confidence
trickster. |
421 |
is
a twin
prime number and a centered
square number.
is the name of a French dice game ('Quatre-cent-vingt-et-un').
= 111 in base 20
= 142 + 152 (sum of 2 consecutive
squares)
= 73 + 79 + 83 + 89 + 97 (sum of 5 consecutive
primes) |
423 |
=
11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 (sum
of 13 consecutive primes!) |
424 |
=
23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 (sum
of 10 consecutive primes!) |
425 |
=
52 x 17
= 82 + 192
= 132 + 162
= 52 + 202
= 137 + 139 + 149 (sum of 3 consecutive primes) |
426 |
is
a nontotient,
and a stella
octangula number.
= 2 x
3 x 71 |
427 |
is
a value of n for which n!+1 is prime. |
428 |
is
a nontotient.
when squared it gives a concatenation of 2 consecutive numbers:
4282 = 183 184
= 22 x
107 |
429 |
is
a sphenic
number, and the 7th Catalan
number.
is
a divisor of 1003 - 1
=
3 x 11 x 13
= 4 + 5 + 6 + … + 27 + 28 + 29 (sum of consecutive
numbers) - Matt Goers
The
sum of the 4th powers of the factors of 429 is a prime:
34 + 114 + 134 = 43283 |
430 |
is
a sphenic
number.
=
2 x 5 x 43 |
431 |
is
a Chen
prime.
431/510
= log107 (exact to the 7th decimal place, the difference
is actually 0.00000000798570432...)
= 47 + 53 + 59 + 61 + 67 + 71 + 73 (sum of consecutive
primes) |
432 |
432
+ 1 and 432 - 1 are twin
primes.
=
4 x 33 x 22
= 103 + 107 + 109 + 113 (sum of consecutive
primes)
= 123 -
64 - G. Sarcone
=
122 + 122 +
122
= 63 + 63 -
G. Sarcone
= 55 + 144 + 233 (sum
of 3 Fibonacci numbers with repeating digits)
= 55 + 377 (sum of 2 Fibonacci numbers with repeating digits) -
G. Sarcone
A
manufacturer of golf balls once did a test to find the ideal
number of dimples to put on golf balls for optimum aerodynamic
effect. It turned out that balls with 432 dimples went
farther than the rest (United States Patent 5106096).
is
equal to 3 'gross'. A gross is a dozen dozen, i.e.: 12 x 12 =
144 (see above)
432
x 102 is an average person’s heartbeats in a
day.
Four
hundred thirty-two is also a number that is very closely related
to many astronomical events. For example, the diameter of the
sun is 864,000 miles (432 x 2 x 103). The diameter
of the moon is 2,160 miles (432 x 10 / 2). If these measurements
were not as they are, we would not experience a total eclipse
of the sun. |
433 |
is prime,
and a star
number.
=
(133 - 113) / 2 |
434 |
=
33 + 43 + 73 (sum
of cubes)
= 112 + 122 + 132 (sum
of consecutive squares)
= 61 + 67 + 71 + 73 + 79 + 83 (sum
of consecutive primes) |
435 |
is
a triangular and
a hexagonal
number.
=
3 x 5 x 29 |
436 |
is
a nontotient.
=
22 x 109 |
437 |
=
19 x 23 |
438 |
=
666 in base 8.
= 2 x 3 x 73 |
439 |
is
a prime number.
sum of three consecutive primes:139 + 149 + 151
is the sum of nine consecutive primes:
31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 |
440 |
is
the sum of the first 17 prime numbers:
= 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 +
43 + 47 + 53 + 59
=
22 x 5 x 11
= 212 - 12
= 272 - 172
= 572 - 532
= 1112 - 1092 (differences
of squares)
= 23 + 33 + 43 + 53 +
63 (sum of consecutive cubes) |
441 |
is
the smallest square which
is the sum of 6 consecutive cubes:
13 + 23 + 33 + 43 +
53 + 63
=
32 x 72 = 212
= 292 - 202
= 352 - 282
= 752 - 722
= 2212 - 2202 (differences
of squares)
= ( 1 + 2 + 3 + 4 + 5 + 6)2 |
442 |
is
the number of planar
partitions of 13.
is the sum of eight consecutive primes:
41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 |
443 |
is
the first 3-digit non-palindromic prime whose binary equivalent
is a palindromic prime: 110111011 |
444 |
is
the largest known n for which there is a unique integer solution
to a1+...+an= (a1)...(an).
= CDXLIV in
late roman numeration system |
446 |
is
the smallest number that can be written as the sum of 3 distinct squares in
8 ways.
=
92 + 102 + 112 + 122 |
448 |
is
an untouchable
number.
is the number of 10-iamonds.
= 26 x 7
= 10! / 902 (divided factorial)
Did
You Know?
World’s “ugliest” Pantone color 448C is
being used to deter smokers... Back in 2012, the Australian government
hired research agency "GfK" to spearhead the new package
design for all tobacco products. But instead of the marketing firm's
usual goal, they had to accomplish the opposite: every box had
to look as unappealing as possible. Over 1,000 smokers took part
in seven studies to choose the most unappealing color, which resulted
in Pantone 448C — named opaque couché — being
chosen for its association with dirt and tar. |
450 |
is
the sum of two consecutive primes:
223 + 227
Is
an Arabian Nights factorial... Any number x such
that x! has 1001 digits is called Arabian Nights factorial.
450! =
1733368733112632659344713146104579399677811265209051015569207509555333
0016834367506046750882904387106145811284518424097858618583806301650208
3472961813516675701719187004222809622372722306635280840380623123693426
7413503661010150883822049497092973901163679376616502373085389640390159
0836144149594432684204513784716402303182604094683993315061302563918385
3033415106067614624202058200069363520959674171831915387256175095213805
5678130919542980022927380334255355816459199629891236859854777117915846
1351340068905647127658164836377126303774923360078072307462008554355068
3614481266062811457609604991878134283979248405925045378494874250604884
8103657144795704678863574293671461517621914846974310297994974071448510
4716169664052397392602848408694007408998901127492905171514473431386633
3924920406615226923030438139605419660932242438092251372688517179043032
1405823844793611167856823697303623840462650789068800000000000000000000
0000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000
=
(5 + 4)(5 + 5)(5 + 0)
= 32 + 212 |
454 |
is
the largest number known that cannot be written as a sum of 7 or
fewer cubes. |
455 |
= 15C3
is a tetrahedral
number: (13 x 14 x 15)/6
= 5 x 7 x 13 |
456 |
is
the number of tournaments with
7 vertices.
is the sum of a twin prime: 227 + 229
is the sum of four consecutive primes:
107 + 109 + 113 + 127
= 456 = 4(5! - 6)
(autothecal number) |
457 |
is
the sum of three consecutive primes:
149 + 151 + 157 |
459 |
=
33 x 17
954 - 459 = 495 |
461 |
is
a prime number.
= 444 + 6 + 11 |
462 |
is
the sum of six consecutive primes:
67 + 71 + 73 + 79 + 83 + 89
= 2 x 3 x 7 x 11
= 11C5 |
463 |
is
a prime number.
is the sum of seven consecutive primes:
53 + 59 + 61 + 67 + 71 + 73 + 79 |
464 |
=
24 x 29
4642 +
7772 = (5 x 181)2 (quasi-palindromic pythagorean
triples) - G. Sarcone |
465 |
is
a triangular number.
is a Kaprekar
constant in base 2.
= 3 x 5 x 31
465
x 831 = 386415
(the product has the same digits as its factors) |
468 |
=
3333 in base 5.
= 22 x 32 x 13
is the sum of ten consecutive primes:
29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 |
469 |
is
the largest known value of n for which n!-1 is prime.
= 7 x 67 |
471 |
is
the smallest number with the property that its first 4 multiples
contain the digit 4. |
480 |
is
the smallest number which can be written as the difference of 2 squares in
8 ways.
n8 – 1 is divisible by 480 if n is
prime and n > 5
n9– 1 is divisible by 480 if n is
odd and n > 1 |
481 |
=
152 + 162 (sum of 2 consecutive integers) |
483 |
is
the last 3-digit string in the decimal expansion of . |
484 |
is
a palindromic square number (of a palincromic square root).
= 222
= 22 x 112 |
487 |
is
the number of Hadamard
matrices of order 28. |
489 |
is
an octahedral
number. |
490 |
is
the number of partitions of
19.
= 2 x 5 x 72 |
494 |
494 +
209 = 703 and 494,209 = 7032
moreover 297+703 = 1000
= 2 x
13 x 19 |
495 |
is
the Kaprekar
constant for 3-digit numbers. In other words, if you take any three-digit number with non-identical digits, arrange them in ascending and descending order, subtract the smaller number from the larger, and repeat this process, you will eventually reach and remain at 495.
is
the difference of two of its own anagrams:
495 =
954 - 459
(other interesting examples:1089 = 9108 - 8019; 1269 = 2961 - 1692;
2538 = 5823 - 3285...). More examples here.
-- Posted by Claudio Meller
=
32 x 5 x 11 |
496 |
is
a triangular number (= 1 + 2 + … + 30 + 31).
is the 3rd perfect
number, that is, a number equal to the sum of all of its proper
divisors, 1 included. The formula for finding perfect numbers is:
(2n - 1) x 2n-1.
=
16 x 31
= 13 + 33 + 53 + 73 |
497 |
is
the number of graphs with
8 edges.
=
7 x 71
= 89 + 97 + 101 + 103 + 107 (sum of consecutive
primes) |
499 |
is
a prime number and the smallest number with the property that
its first 12 multiples contain the digit 9.
497
+ 2 = 499, inversing the number -> 994 =
497 x 2
4993 =
124251499
=
3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 +
47 + 53 + 59 + 61 (sum of consecutive primes) |
500
D |
D
is the symbol for 500 in the Latin numeral system.
"Cinquecento" (500,
in Italian) is the name of a small well-known car appreciated worldwide by car
enthusiasts.
= 22 x 53
500 : 499 = 1.002004008016032064... |
501 |
is
the sum of the first 18 primes.
is the number of partitions of 5 items into ordered lists.
is the sum of 11 positive fifth powers:
501 = 15 + 15 + 25 + 25 +
25 + 25 + 25 + 25 +
25 + 25 + 35
Its
odd powers always end with 501:
5013 = 125751501; 5015 =
31563752502501; 5017 =
7922533441880253501;
etc.
In
the 1870's, when Levi Strauss created his famous blue jeans,
they were known simply as "XX". Twenty years later,
they were given the lot number "501®" and to this
day, that 3-digit number is synonymous with the Levi's brand.
[click
to enlarge]
|
512 |
is
a number whose cube root is the same as the sum of its digits:
5121/3 = 5 + 1 + 2
There are actually only 7 numbers with this property: 0, 1, 512,
4913, 5832, 17576, and 19683. More
info.
=
362 – 282 = 43 x 23
=
132 + 73
109 =
1,000,000,000 = 29 · 59 = 512 · 1,953,125
(a power of 10 that can be expressed as the product of 2 numbers
with no digit
0.)
|
518 |
518 = 51 +
12 +
83 |
561 |
is
the second smallest composite number to give a false
positive to quick prime number test (pseudoprime in
base 2).
is
the first Carmichael
number.
is
a triangular number and hexagonal number.
is
palindromic in bases 2 (10001100012) and 20 (18120).
5612 ± 2
are two consecutive primes. |
613 |
is
a prime number and centered square number with 18 per side.
There
are 613 commandments (Hebrew: תרי"ג מצוות: taryag
mitzvot, "613 Mitzvot") listed in the Jewish Torah.
The
number 613 is a math enigma in the bewildering
story 'Number of the End' by Jason Earls:"bring the first
digit back to get 136, it's triangular. Now bring the first digit
of that back to get 361, it's a square".
=
172 + 182 (sum of 2 consecutive
squares)
6132 =
352 + 6122 (Pythagorean
triplet) |
616 |
is
an heptagonal number and a member of the Padovan
sequence, coming after 265, 351, 465 (it is the sum of the
first two of these).
=
23 x 7 x 11
= (92 + 102 + 112 + 122 +
132) + 1 (sum of consecutive squares
incremented by 1)
For
centuries, people have been intrigued by the number 666 (see
'666' further below)... However, researchers are re-examining
evidence that the 'Number of the Beast' is not 666 as widely
believed, but 616.
Fragment
from "Book of Revelation" mentions 616 in the third
line – χ khi, ι iota, ς sigma (= 616 in greek
numeral notation). |
625 |
is
a centered
octagonal number.
is the hypotenuse of a Pythagorean triple:
6252 = 3362 + 5272
is an automorphic
number:
6252 = 390625
6253 = 244140625
6254 = 152587890625...
List of automorphic numbers: 0, 1, 5, 6, 25, 76, 376, 625, 9376,
90625, 109376, 890625, 2890625, 7109376, 12890625, 87109376, 212890625,
787109376, 1787109376, 8212890625, 18212890625, 81787109376, 918212890625,
9918212890625, 40081787109376, 59918212890625...
is
the smallest fourth power being the sum of 5 other fourth powers:
54 = 24 + 24 +
34 + 44 + 44
=
73 + 79 + 83 + 89 + 97 + 101 + 103 (sum of consecutive
primes)
=
54
= 252
= 72 + 242 (solution of a2 + b2 = z4)
= 152 + 202 (solution of a2 + b2 = z4)
6252 +
1 2502 =
1253
6253 +
1 2503 =
46,8752
2
fourth powers share the same digits:
54 = 625 and
44 = 256 |
648 |
64
x 8
64 / 8
64 + 8
64 - 8 |
=
=
=
= |
512
+
8 +
72 +
56 = |
----------------
648
---------------- |
648
= 162 - 172 + 182 + ... + 302 -
312 + 322 =
= -332 + 342 - 352 + ... + 462 -
472 + 482
648
= 832 - 792, where 83 and 79 are consecutive
primes (A090785).
648 = 101 + 547, where 101 = prime(26) and 547 = prime(prime(26)).
648 / (6+4+8) is a square (36).
648 divides 536 – 1; also: 2 x 648 - 1 and 2 x
648 + 1 divide 2648 - 1 (see A233089).
648
is also:
• an Abundant number (A005101) because:
σ (648) – 2x648 = 519 > 0.
• an Odious number (A000069) because its binary expansion is 1010001000,
which has an odd number of 1's.
• a Smith number (A006753) because 6+4+8 = 2+2+2+3+3+3+3+3 = 18
(being 648 = 23 x 34).
• a Practical number (A005153) because all the numbers from 1
to 647 can be expressed as sums of their proper divisors 1, 2, 3, 4, 6, 8, 9,
12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324. For example: 1, 2, 3, 4,
5=1+4, 6=2+4, 7=3+4, 8, 9, 10=1+9, 11=2+9, 12, 13=1+12, 14=2+12, 15=3+12, etc.
• a Powerful number (A001694) because 2 and 22 divide
648; also: 3 and 32 divide 648.
Moreover:
6481/6 = 2.941682753... (first 9 decimal
digits - 941682753 - are the integers from 1 to 9).
Number
facts above, contributor: Bruno Berselli (from https://oeis.org/)
648
= 12 x 23 x
34
648
= 182 + 182 = 63 + 63 +
63
|
666 |
is
said to be the occult 'Number of the Beast',
aka the 'Sign of the Devil', associated in the Bible with the Antichrist.
Sum
of all the Roman numerals up to 500 (D): D (500)
+ C (100) + L (50) + X (10)
+ V (5) + I (1), or DCLXVI.
The
triangle whose sides are of length 693, 1924 and 2045 is a primitive
Pythagorean triangle. It has area 666,666.
is
the largest triangular number that is also a repdigit.
is a palindromic triangular
number.
is the sum of the squares of two consecutive triangular numbers:
152 + 212
is the sum of the squares of the first 7 primes:
22 + 32 + 52 + 72 +
112 + 132 + 172
is the sum of two consecutive palindromic primes:
666 = 313 + 353
is a divisor of 123456789 + 987654321
=
1234 – 567 + 8 – 9
= 123 + 456 + 78 + 9
(in the equalities above digits 1 through 9 were
used once)
There
are exactly six 6's in 6666. (There
are also exactly six 6's in the previous sentence!)
=
18691113009329 - 18691113008663 (difference of
2 consecutive prime numbers)
= 16 - 26 + 36
= 6 + 6 + 6 + 63 + 63 + 63
= 13 +
23 + 33 + 43 + 53 +
63 + 53 + 43 + 33 +
23 + 13
= 3(63 +
6)
= 2
x 32 x 37
1666
6664 |
= |
16
66 |
x |
66
64 |
The
first 2 beastly
palindromic primes are:
16661,
1000000000000066600000000000001,
can you find the next one?
Here
is another 217-digit beastly palindromic prime:
166616661666...1666166616661
-2sin(666)
=
sin(666)
= cos(6
x 6 x 6)
If
we split 1010011010 - the binary notation for 666 - into two
digits sets (10100 and 11010), the second part of the number
is the complemented reverse of the first part:
10100 00101 (00101 reverse
of 10100)
10100 11010 (11010 complement of 00101)
- By G. Sarcone -
The
number (10666)! is called "Leviathan
number", because this incalculable number has approximately
6.656x10668 decimal digits. The number of trailing
zeroes in the Leviathan number is 25x10664-143. -
C. Pickover
Tuesday, 6
June 2006 is 06-06-06; this convergence of three sixes
being the Mark of the Beast, some people believe that it is
the 'Apocalypse day'. But if you read this, it means that the
End of the World has been postponed until June 2066!
Take
ANY number having 3 consecutive digits and sum all 6 possible
combinations, here 789:
789 + 798 + 879 + 897 + 978 + 987 = 5,328
Now, if your divide the result by 8 you'll obtain 666.
The
number 666 can also be found in a number of words and phrases.
For example, summing the ASCII character codes for INDONESIA
gives 666.
Strangely,
the number 666 is a good omen (lucky number) for ethnic Chinese
couples marrying in Malaysia. Actually, in Hokkien dialect, the
number '6' is pronounced as "luck". Thus, many Chinese
believe that tying the knot on June 6th, 2006 that appears as
060606 on the marriage certificates can only triple the luck
for the newly-weds.
Contrary
to popular myth, no
bar code includes the number 666. This belief arose because
the number 6 is represented by a pattern similar to that of the
'guard bars' used to mark the beginning, middle, and end of every
bar code (the guard bars indicate the computer-scanner when the
product code begins and ends). Since the guard bars always appear
three times in a given bar code, people who mistakenly read them
as 6s claimed that the pattern 6-6-6 was embedded in every bar
code. However, looking closely at the '6' in a bar code, we can
see that there is a wide white bar either to the left or the
right of its pattern, which is not the case with the guard bars.
The only numbers on the bar code which are scanned are those
shown in the conventional numerals underneath it.
References
from the Bible:
In
the King James Version, excerpt from 'Revelation
13:18':
- Here
is wisdom: let him who hath understanding count the number
of the beast: for it is the number of a man; and his number
is 'six hundred three score and six'.
In the Good
News Bible, the same verse reads:
- This
calls for wisdom. Whoever is intelligent can figure out the
meaning of the number of the beast, because the number stands
for the name of someone. Its number is '666'.
The
Greek text of Codex Alexandrinus of the New Testament
runs:
- Ὧδε ἡ σοφία ἐστίν· ὁ ἔχων νοῦν ψηφισάτω τὸν ἀριθμὸν τοῦ θηρίου, ἀριθμὸς γὰρ ἀνθρώπου ἐστίν· καὶ ὁ ἀριθμὸς αὐτοῦ ἑξακόσιοι ἑξήκοντα ἕξ.
(Hōde
hē sophia estin; ho echōn noun psēphisatō ton
arithmon tou thēriou, arithmos gar anthrōpou estin;
kai ho arithmos autou 'hexakosioi hexēkonta hex')
Other manuscripts use the numerical form χξς´ (see
number 616 above).
The Vulgate also
mentions the 'Number of the Beast':
- Hic
sapientia est. Qui habet intellectum, computet numerum bestiae.
Numerus enim hominis est, et numerus eius est 'sescenti
sexaginta sex'.
The
fear of the number 666 is called hexakosioihexekontahexaphobia.
Mansinthe,
a new absinthe liquor dedicated to the rock singer Marilyn Manson
has 66.6% alcoholic content per volume.
666
is hidden in Walt Disney signature logo. Proof Walt Disney is
the Devil! :)
Buy
your favorite
Number (666) here . |
684 |
seems
to be the first uninteresting number. But since it is the least
uninteresting number it becomes, ipso facto, interesting. Suppose
we've divided the numbers into 2 sets: interesting and not interesting.
We must therefore remove 684 from the uninteresting numbers set
and place it in the interesting numbers set. But now, there will
be another smallest uninteresting number. Repeating this process
will make any common number interesting. In conclusion... There
are no uninteresting numbers! (This conclusion contradicts the
intuitive notion that the natural numbers are apparently too
many for all of them to be subjectively interesting) |
689 |
is
a strobogrammatic
number, that is a number that reads the same when turned
upside-down.
689
is 373, a palindromic number, in base 14.
is
the sum of consecutive primes having pairs of similar digits:
= 227 + 229 + 233
is
the sum 7 consecutive primes:
= 83 + 89 + 97 + 101 + 103 + 107 + 109
is
the sum of 13 consecutive numbers:
= 47 + 48 + 49 + 50 + 51 + 52 + 53 + 54 + 55 + 56 + 57 + 58 + 59
has
2 representations as a sum of 2 squares:
= 82 + 252 = 172 + 202
is
the lowest number that can be expressed as the sum of 3 squares
in 9 distinct ways:
= 22 + 32 + 262 = 22 +
182 + 192 = 32 + 142 +
222
= 42 + 122 + 232 = 62 +
132 + 222 = 72 + 82 +
242
= 82 + 152 + 202 = 122 +
162 + 172 = 132 + 142 +
182
is
the hypotenuse of 2 primitive Pythagorean triples:
6892 = 1112 + 6802 = 4002 +
5612
moreover, is the hypotenuse of 2 extra Pythagorean triples:
6892 = 3642 + 5852 = 2652 +
6362
|
715 |
is
a pentatope
number.
715
x 31237 (a prime) = 22334455
= 13C4 |
729 |
is
a centered
octagonal number (of the form 4n2 -
4n + 1).
is the smallest odd cube represented as the sum of 2 primes: 729
= 2 + 727
=
36 = 93 = 272 (perfect
6th power)
= 452 - 362 (difference
of squares)
= 13 + 63 + 83 (sum
of cubes)
= 1 + 3 + 5 + … + 43 + 47 + 53 (sum
of consecutive odd primes) |
786 |
50
can be partitioned into powers of two in 786 different
ways.
=
31 + 33 + 33 + 36 (powers
of 3)
(786 - 330 +
467)3 = 786,330,467
The
Arabic letters of the opening phrase of the Quran:
" بسم الله الرحمن الرحيم "
Bismillah
al-Rahman al-Rahim,
translated as "In the name of God, Most
Gracious, Most Merciful" sum to the numerical value 786 in the
system of Abjad
numerals. |
991 |
The
integer given by formula: 991 · n2 +
1,
is not a perfect square for any natural number n...
Until n = 12005735790331359447442538767.
In fact,
991 · 120057357903313594474425387672 + 1 =
= 3795164009068119306380148960802
Postulating general principles based on observations can lead to
incorrect conclusions... |
1000 |
is
the smallest integer that generates 3 primes in the fastest way
possible by concatenation of decremented numbers:
1000999, 1000999998997,
and 1000999998997996995994993
=
(33 x 43 x 53)/(33 +
43 + 53)
Difference
of cubes
= 2512 – 2492
= 1272 – 1232
= 552 – 452
= 352 – 152
103 =
102 + 302 = 182 + 262
The
symbol K is sometimes used for a thousand.
Antananarivo,
formerly French Tananarive, is the capital and largest city in
Madagascar. The name Antananarivo means “the village of thousand people”. |
1440 |
is
the number of minutes in a day.
is the sum of the internal angles of a decagon (10-sided polygon).
=
362 + 122
=
382–22 = 392–92 =
422–182 = 462–262 =
492–312 = 532–372 =
662–542 = 772–672 =
942–862 = 1232–1172 =
1822–1782 = 3692–3512 (is
the smallest number having 12 distinct differences of squares) |
1443 |
is
commonly considered as the end of Middle Ages and the starting
point of Renaissance. |
1444 |
is
the smallest square having the largest number of repeated consecutive
numbers.
is a pandigital roman
number: MCDXLIV
= 382 |
2016 |
=
11111100000 (binary)
Equalities
using only 5 six’s
2016 = (((6 x 6) x 6) x 6) + 6!
2016 = ((66 / 6) / 6) + 6!
2016 = (6 x √66) + 6!
2016 = (√(√(6 x 6)6) x 6) + 6!
Or even 4 six’s
2016 = (6 x √66) + 6!
Equalities
using 5 four’s
2016 = (44 - 4)(4 + 4)
Equalities
using n times n's
2016 = 7[7(7 x 7 - 7) - 7] + 7
2016 = 8 x 8(8 x 8 x 8 - 8)/(8 + 8)
Using
4 cosecutive integers:
2016 = ((1 + 2)!)!+(3!)4
2016 = (1 + 2 x 3)! x .4
Using
3 distinct digits (by Dario Uri):
2016 = 2/(5 / 7!)
2016 = 3! · 8!/5!
Using
3 digits:
2016 = 64 + 6!
Using
all the digits once (pandigital):
= 0!/.9 + (12 x
34 – 5) x (6 + 7 – 8)
= 90/1/(2 + 3) x 8/4 x 5! x 6 x 7
= (0 - 1 - 2 + 34) x 5 x (6 + 7) - 8 + 9
= 1 x (2 + 3 - 4 + 5) x 6 x 7 x 8 x 90
= 1 x 2 x 3 x √4/5/6 x 7! x 80 x .9
= (0 + (1 x 2 x 3 - 4) x 5 - 6) x 7 x 8 x 9
= 1/(2 + 3) x √4 x 5! x 6 x 7 x 80 x .9
= 0! + 1! - 2! + 3! - 4! - 5! + 6! + 7!! + 8!! + 9!!
= 10 + 9 + 8 x 7 x 6 x 5 - 4 + 321
Sum
of consecutive powers of 2:
2016 = 25 + 26 + 27 + 28 +
29 + 210
Sum
of consecutive cubes:
2016 = 33 + 43 + 53 + 63 +
73 + 83 + 93
Sum
of consecutive integers:
2016 = 1 + 2 + 3 + 4 + … + 61 + 62 + 63
2016 = 86 + 87 + 88 + 89 + … + 104 + 105 + 106
Cubic
root of a sum of consecutive cubics:
2016 = 3√(13 + 23 + 33 +
43 + ... + 613 + 623 + 633)
Other
notable numeral patterns:
2016 = 12 - 22 +
32 - 42 +
... + 612 - 622 +
632
= 1 + 2 + 4 + 8 + 16 + 32 + 63 +
126 + 252 + 504 + 1008
= (1x12)2 + (2x12)2 + (3x12)2
= 42 + (4x5)2 + (4x10)2
20162 -
20152 = 2016 + 2015
[trivial, any (n+1)2 - n2 =
2n + 1]
126/625
= 0.2016
Difference
of squares
= 542 – 302 = 452 – 32
Difference
of powers of 2:
= 211 – 25
Has
the form of a perfect
number 2p-1( 2p – 1
), but it isn't:
2016 = 26-1 (26 – 1)
2016
is the short leg of 4 primitive Pythagorean
triples:
2016
- 3713 - 4225
2016 - 12,463 - 12,625
2016 - 20,687 - 20,785
2016 - 1,016,063 - 1,016,065
If
we sum the square and the cube of 2016 we obtain a pandigital
result (containing all the digits once!)
20162 + 20163 = 8,197,604,352
2016
first occurs in π at the 7173rd
decimal place.
Is
a satanic number:
= 666 + 666 + 666 + (6 + 6 + 6)
Also lake-mirrored:
= 999 + 999 + (9 + 9)
Sum
of different number sequences
2016 |
= |
|
= |
|
= |
|
= |
|
Latin
magic square created with consecutive primes by mathematician Ed
Pegg. Can you guess what is its magic sum?
103 |
113 |
131 |
409 |
349 |
421 |
197 |
293 |
389 |
331 |
397 |
97 |
193 |
263 |
179 |
167 |
109 |
433 |
439 |
199 |
127 |
101 |
241 |
367 |
137 |
373 |
353 |
163 |
359 |
211 |
229 |
191 |
311 |
181 |
149 |
419 |
79 |
271 |
223 |
383 |
157 |
269 |
151 |
277 |
401 |
337 |
317 |
107 |
379 |
83 |
307 |
313 |
251 |
173 |
283 |
227 |
431 |
233 |
89 |
139 |
257 |
239 |
347 |
281 |
|
2017 |
2017
is a prime number.
102016 -
1 is divisible by 2017. In fact, according to the little
theorem of Fermat: if p is a prime
and a is any integer not divisible by p,
then ap-1 - 1 is
divisible by p.
is also a Friedlander–Iwaniec
prime of the form a2 + b4,
in fact:
2017 = 442 + 34
2017
is palindromic in base 31 = 232, and in base 32 = 1V1
=
1,008 + 1,009 (sum of consecutive numbers)
=
92 + 442
= 122 + 282 + 332
= 182 + 182 + 372
= 212 + 262 + 302
20172 =
7922 + 18552
=
(-2)3 + 452 = 123 + 172
=
73 + 73 + 113
= 63 + 73 + 93 + 93
= 13 + 23 + 43 + 63 +
123
=
13 + 33 + 43 + 53 +
63 + 73 + 83+ 93
=
0! + (6 · 7 · 8 · 9 · 10)/(1 + 2
+ 3 + 4 + 5) -- Gianni Sarcone
=
123 +
(4! + (5 - 6) · 7)(8
+ 9) [pandigital]
=
(3+(3!+3!)3)/3 + (3!)! + (3!)! --
Dario Uri
The
factorial 2017! ends with 502 zeroes!
= ⌊4π2e⌋
sin(2017·21/5) ≈ -1
Next
prime year will occur 2+0+1+7 = 10 years away: 2027
|
2552 |
is a palindrome, which means it reads the same forwards and backwards. It can be divided into two parts, 25 and 52, which add up to give a lucky palindrome, 77.
Additionally, 2552 is a polite number. This means it can be expressed as the sum of consecutive natural numbers in three different ways, such as 74 + ... + 102.
The artistic representation of the number 2552 illustrated below showcases both perpendicular and horizontal mirror symmetry. You can find posters and t-shirts featuring this intriguing artwork in our online gallery.
|
2569 |
is a polite number, as it can be expressed in three different ways as a sum of consecutive naturals. For instance, one possible expression is 177 + ... + 190.
If you append 2569 to the end of the number 10200 (which represents 1 followed by 200 zeros), treating it as part of the number itself, the resulting number is a prime. While it may be similar to other prime numbers, it possesses a captivating quality due to its extremely long string of zeros:
100000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000
000000000000000000000000002569 |
2592 |
= 25 · 34
is a Jordan–Pólya number, since it can be written as (3!)4 · 2!
is an ABA number since it can be written as A·BA, here for A=2, B=36. |
4567 |
is the lone prime with four consecutive ascending digits
Adding to 4567 its reverse (7654), we obtain a palindrome, 12221. |
4900 |
is an Ullam number and a happy number.
is the only known number with this unique property: it is both a square pyramidal number and a perfect square: 702 = 12 + 22 + 32 + ... + 242
|
23456789
is the largest known prime with digits that are consecutively increasing.
It can be expressed as a sum of positive squares in only one way,
which is 47422 + 9852 |
123456789
The number (123…(b−1)) in base b has the property that when multiplied by any integer 1≤k≤b−1 which is coprime to b−1, its digits are permuted.
For example in base 10, 123456789
∗2 = 246913578
∗4 = 493827156
∗5 = 617283945
∗7 = 864197523
∗8 = 987654312
Interestingly, if you replace some of its digits with a 0, it becomes a prime number. For example, the numbers 023456789, 103456789, and 123456089 are all prime. |
100T |
One
Hundred Trillions Zimbabwe Dollar Banknote!
This bill represents the pitfalls of runaway hyperinflation in a
country riddled with fiscal problems and are the largest denomination
ever in actual use by any country ever. They are no longer legal
tender in Zimbabwe, but were legal tender in 2008.
|
K11 |
Decillion (British
Engl. 'thousand quintillion', Continental European
'quintilliard', after Rowlett 'hendekillion',
Sanskrit 'hetuhila' हेतुहिल)
One decillion, 1033 (1 followed by 33
zeroes), is the largest known power of ten that has two zeroless
factors:
1033 = 233 x
533 or 8,589,934,592 x 116,415,321,826,934,814,453,125
= 1,000,000,000,000,000,000,000,000,000,000,000 |
BR |
Brazillion is
a very large number; indescribable by regular numeralogical values
such a million or billion.
Joke:
The Secretary of Defense is giving President Bush his
daily briefing. He concludes by saying: "Yesterday, three
Brazilian soldiers were killed".
" Oh, no!" the President exclaims. "That's terrible!"
His staff sits stunned at this display of emotion, nervously watching
as the President sits, head in hands.
Finally, the President looks up and asks, "How many is a brazillion?" |