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31606134444 = 2233319440303
BaseRepresentation
bin11101011011110111…
…110101011010101100
310000120200111222122000
4131123313311122230
51004212132300234
622304125052300
72166141465363
oct353367653254
9100520458560
1031606134444
1112449925675
1261609b7090
132c99068101
14175b8987da
15c4eb3a899
hex75bdf56ac

31606134444 has 48 divisors (see below), whose sum is σ = 84585123840. Its totient is φ = 10195526160.

The previous prime is 31606134419. The next prime is 31606134449. The reversal of 31606134444 is 44443160613.

31606134444 is a `hidden beast` number, since 3 + 1 + 606 + 1 + 3 + 4 + 4 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31606134399 and 31606134408.

It is not an unprimeable number, because it can be changed into a prime (31606134449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4716804 + ... + 4723499.

It is an arithmetic number, because the mean of its divisors is an integer number (1762190080).

Almost surely, 231606134444 is an apocalyptic number.

It is an amenable number.

31606134444 is an abundant number, since it is smaller than the sum of its proper divisors (52978989396).

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

31606134444 is a wasteful number, since it uses less digits than its factorization.

31606134444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9440347 (or 9440339 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 31606134444 in words is "thirty-one billion, six hundred six million, one hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 9440303 18880606 28320909 37761212 56641818 84962727 113283636 169925454 254888181 292649393 339850908 509776362 585298786 877948179 1019552724 1170597572 1755896358 2633844537 3511792716 5267689074 7901533611 10535378148 15803067222 31606134444