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31360146312 = 23311359330887
BaseRepresentation
bin11101001101001101…
…011101101110001000
32222221112122111100110
4131031031131232020
51003211144140222
622223500434320
72160063562665
oct351515355610
988845574313
1031360146312
1112332a920a0
1260b25489a0
132c5a0cb7c1
141736d44a6c
15c3824a30c
hex74d35db88

31360146312 has 64 divisors (see below), whose sum is σ = 85766169600. Its totient is φ = 9476575040.

The previous prime is 31360146263. The next prime is 31360146341. The reversal of 31360146312 is 21364106313.

It is a super-3 number, since 3×313601463123 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31360146312.

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, 70668 + ... + 260219.

It is an arithmetic number, because the mean of its divisors is an integer number (1340096400).

Almost surely, 231360146312 is an apocalyptic number.

It is an amenable number.

31360146312 is an abundant number, since it is smaller than the sum of its proper divisors (54406023288).

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

31360146312 is a wasteful number, since it uses less digits than its factorization.

31360146312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331266 (or 331262 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 31360146312 in words is "thirty-one billion, three hundred sixty million, one hundred forty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 359 718 1077 1436 2154 2872 3949 4308 7898 8616 11847 15796 23694 31592 47388 94776 330887 661774 992661 1323548 1985322 2647096 3639757 3970644 7279514 7941288 10919271 14559028 21838542 29118056 43677084 87354168 118788433 237576866 356365299 475153732 712730598 950307464 1306672763 1425461196 2613345526 2850922392 3920018289 5226691052 7840036578 10453382104 15680073156 31360146312