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31142904876 = 22321621533671
BaseRepresentation
bin11101000000010000…
…110000010000101100
32222101101212111010100
4131000100300100230
51002240040424001
622150140311100
72151515216016
oct350020602054
988341774110
1031142904876
11122313a3416
126051842490
132c240b8885
1417161551b6
15c24137586
hex74043042c

31142904876 has 36 divisors (see below), whose sum is σ = 78771054544. Its totient is φ = 10374544800.

The previous prime is 31142904851. The next prime is 31142904907. The reversal of 31142904876 is 67840924113.

31142904876 is a `hidden beast` number, since 311 + 4 + 290 + 48 + 7 + 6 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208480 + ... + 325191.

Almost surely, 231142904876 is an apocalyptic number.

31142904876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31142904876 is an abundant number, since it is smaller than the sum of its proper divisors (47628149668).

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

31142904876 is a wasteful number, since it uses less digits than its factorization.

31142904876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535302 (or 535297 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 31142904876 in words is "thirty-one billion, one hundred forty-two million, nine hundred four thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 1621 3242 4863 6484 9726 14589 19452 29178 58356 533671 1067342 1601013 2134684 3202026 4803039 6404052 9606078 19212156 865080691 1730161382 2595242073 3460322764 5190484146 7785726219 10380968292 15571452438 31142904876