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13987224288 = 253379204923
BaseRepresentation
bin11010000011011010…
…00001101011100000
31100002210102121121000
431001231001223200
5212121212134123
610231534432000
71003421305362
oct150155015340
940083377530
1013987224288
115a284726a4
122864362600
13141ba87a9b
1496990cd32
1556ce5cb43
hex341b41ae0

13987224288 has 96 divisors (see below), whose sum is σ = 41312678400. Its totient is φ = 4603367808.

The previous prime is 13987224263. The next prime is 13987224313. The reversal of 13987224288 is 88242278931.

13987224288 is a `hidden beast` number, since 1 + 398 + 7 + 2 + 242 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13987224263) and next prime (13987224313).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 34206 + ... + 170717.

It is an arithmetic number, because the mean of its divisors is an integer number (430340400).

Almost surely, 213987224288 is an apocalyptic number.

13987224288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13987224288 is an abundant number, since it is smaller than the sum of its proper divisors (27325454112).

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

13987224288 is a wasteful number, since it uses less digits than its factorization.

13987224288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205021 (or 205007 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 13987224288 in words is "thirteen billion, nine hundred eighty-seven million, two hundred twenty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 96 108 144 158 216 237 288 316 432 474 632 711 864 948 1264 1422 1896 2133 2528 2844 3792 4266 5688 7584 8532 11376 17064 22752 34128 68256 204923 409846 614769 819692 1229538 1639384 1844307 2459076 3278768 3688614 4918152 5532921 6557536 7377228 9836304 11065842 14754456 16188917 19672608 22131684 29508912 32377834 44263368 48566751 59017824 64755668 88526736 97133502 129511336 145700253 177053472 194267004 259022672 291400506 388534008 437100759 518045344 582801012 777068016 874201518 1165602024 1554136032 1748403036 2331204048 3496806072 4662408096 6993612144 13987224288