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14232800196864 = 283317121126091
BaseRepresentation
bin1100111100011101010011…
…1111111111100100000000
31212101122100022120021121000
43033013110333333210000
53331142233322244424
650134242543132000
72666200025361504
oct317072477774400
955348308507530
1014232800196864
1145981077321a7
12171a4b3ba4000
137c31bb803c22
14372c2a830304
1519a363c243c9
hexcf1d4fff900

14232800196864 has 144 divisors (see below), whose sum is σ = 44564711768640. Its totient is φ = 4465192181760.

The previous prime is 14232800196829. The next prime is 14232800196871. The reversal of 14232800196864 is 46869100823241.

14232800196864 is a `hidden beast` number, since 1 + 423 + 28 + 0 + 0 + 196 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 14232800196864.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60445542 + ... + 60680549.

It is an arithmetic number, because the mean of its divisors is an integer number (309477165060).

Almost surely, 214232800196864 is an apocalyptic number.

It is an amenable number.

14232800196864 is an abundant number, since it is smaller than the sum of its proper divisors (30331911571776).

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

14232800196864 is a wasteful number, since it uses less digits than its factorization.

14232800196864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121126133 (or 121126113 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 14232800196864 in words is "fourteen trillion, two hundred thirty-two billion, eight hundred million, one hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 544 576 612 768 816 864 918 1088 1152 1224 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4896 6528 6912 7344 9792 13056 14688 19584 29376 39168 58752 117504 121126091 242252182 363378273 484504364 726756546 969008728 1090134819 1453513092 1938017456 2059143547 2180269638 2907026184 3270404457 3876034912 4118287094 4360539276 5814052368 6177430641 6540808914 7752069824 8236574188 8721078552 11628104736 12354861282 13081617828 15504139648 16473148376 17442157104 18532291923 23256209472 24709722564 26163235656 31008279296 32946296752 34884314208 37064583846 46512418944 49419445128 52326471312 55596875769 65892593504 69768628416 74129167692 93024837888 98838890256 104652942624 111193751538 131785187008 139537256832 148258335384 197677780512 209305885248 222387503076 263570374016 279074513664 296516670768 395355561024 418611770496 444775006152 527140748032 593033341536 790711122048 837223540992 889550012304 1186066683072 1581422244096 1779100024608 2372133366144 3558200049216 4744266732288 7116400098432 14232800196864