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31402145664 = 27339086269
BaseRepresentation
bin11101001111101101…
…101011011110000000
310000001110200021122000
4131033231223132000
51003302422130124
622232000544000
72161113556041
oct351755533600
9100043607560
1031402145664
11123547688aa
126104622000
132c65a153a6
14173c7588c8
15c3bc946c9
hex74fb6b780

31402145664 has 64 divisors (see below), whose sum is σ = 92679954000. Its totient is φ = 10467380736.

The previous prime is 31402145657. The next prime is 31402145681. The reversal of 31402145664 is 46654120413.

31402145664 is a `hidden beast` number, since 3 + 140 + 2 + 1 + 456 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4539679 + ... + 4546590.

Almost surely, 231402145664 is an apocalyptic number.

It is an amenable number.

31402145664 is an abundant number, since it is smaller than the sum of its proper divisors (61277808336).

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

31402145664 is an equidigital number, since it uses as much as digits as its factorization.

31402145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9086292 (or 9086274 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 31402145664 in words is "thirty-one billion, four hundred two million, one hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 9086269 18172538 27258807 36345076 54517614 72690152 81776421 109035228 145380304 163552842 218070456 245329263 290760608 327105684 436140912 490658526 581521216 654211368 872281824 981317052 1163042432 1308422736 1744563648 1962634104 2616845472 3489127296 3925268208 5233690944 7850536416 10467381888 15701072832 31402145664