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31022674944 = 210317283421
BaseRepresentation
bin11100111001000110…
…000111010000000000
32222002000122011122220
4130321012013100000
51002013301044234
622130203331040
72145525246312
oct347106072000
988060564586
1031022674944
111217a544938
126019520a80
132c052110c1
1417041b97b2
15c187d8a49
hex739187400

31022674944 has 264 divisors, whose sum is σ = 89106204768. Its totient is φ = 9592504320.

The previous prime is 31022674913. The next prime is 31022674993. The reversal of 31022674944 is 44947622013.

It is a junction number, because it is equal to n+sod(n) for n = 31022674896 and 31022674905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73687854 + ... + 73688274.

Almost surely, 231022674944 is an apocalyptic number.

31022674944 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31022674944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44553102384).

31022674944 is an abundant number, since it is smaller than the sum of its proper divisors (58083529824).

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

31022674944 is a wasteful number, since it uses less digits than its factorization.

31022674944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 31022674944 in words is "thirty-one billion, twenty-two million, six hundred seventy-four thousand, nine hundred forty-four".