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31417464132 = 22323329262153
BaseRepresentation
bin11101010000101000…
…000111010101000100
310000002112111112121200
4131100220013111010
51003320332323012
622233305142500
72161361016225
oct352050072504
9100075445550
1031417464132
111236238089a
12610978aa30
132c68c49982
1417407c524c
15c3d2bd3dc
hex750a07544

31417464132 has 36 divisors (see below), whose sum is σ = 79440526620. Its totient is φ = 10469302272.

The previous prime is 31417464121. The next prime is 31417464137. The reversal of 31417464132 is 23146471413.

31417464132 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 7 + 4 + 641 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25374578436 + 6042885696 = 159294^2 + 77736^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (31417464137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11233 + ... + 250920.

It is an arithmetic number, because the mean of its divisors is an integer number (2206681295).

Almost surely, 231417464132 is an apocalyptic number.

It is an amenable number.

31417464132 is an abundant number, since it is smaller than the sum of its proper divisors (48023062488).

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

31417464132 is a wasteful number, since it uses less digits than its factorization.

31417464132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265492 (or 265487 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 31417464132 in words is "thirty-one billion, four hundred seventeen million, four hundred sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3329 6658 9987 13316 19974 29961 39948 59922 119844 262153 524306 786459 1048612 1572918 2359377 3145836 4718754 9437508 872707337 1745414674 2618122011 3490829348 5236244022 7854366033 10472488044 15708732066 31417464132