Search a number
-
+
3129732706912 = 257171943257031
BaseRepresentation
bin101101100010110010100…
…110110011001001100000
3102002012101110020121212221
4231202302212303021200
5402234143033110122
610353440201400424
7442054460033230
oct55426246631140
912065343217787
103129732706912
11aa7348580629
12426691199114
13199195218a36
14ab6a0aa3cc0
1556628da96c7
hex2d8b29b3260

3129732706912 has 96 divisors (see below), whose sum is σ = 7848555886080. Its totient is φ = 1195970365440.

The previous prime is 3129732706907. The next prime is 3129732706957. The reversal of 3129732706912 is 2196072379213.

It is a super-3 number, since 3×31297327069123 (a number of 38 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3129732706912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21556164 + ... + 21700867.

It is an arithmetic number, because the mean of its divisors is an integer number (81755790480).

Almost surely, 23129732706912 is an apocalyptic number.

3129732706912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3129732706912 is an abundant number, since it is smaller than the sum of its proper divisors (4718823179168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3129732706912 is a wasteful number, since it uses less digits than its factorization.

3129732706912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43257084 (or 43257076 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 52.

The spelling of 3129732706912 in words is "three trillion, one hundred twenty-nine billion, seven hundred thirty-two million, seven hundred six thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 68 76 112 119 133 136 152 224 238 266 272 304 323 476 532 544 608 646 952 1064 1292 1904 2128 2261 2584 3808 4256 4522 5168 9044 10336 18088 36176 72352 43257031 86514062 173028124 302799217 346056248 605598434 692112496 735369527 821883589 1211196868 1384224992 1470739054 1643767178 2422393736 2941478108 3287534356 4844787472 5147586689 5753185123 5882956216 6575068712 9689574944 10295173378 11506370246 11765912432 13150137424 13972021013 20590346756 23012740492 23531824864 26300274848 27944042026 41180693512 46025480984 55888084052 82361387024 92050961968 97804147091 111776168104 164722774048 184101923936 195608294182 223552336208 391216588364 447104672416 782433176728 1564866353456 3129732706912