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31314730736 = 24234310319213
BaseRepresentation
bin11101001010100000…
…001101111011110000
32222211101012010220002
4131022200031323300
51003113032340421
622215155205132
72156002551032
oct351240157360
988741163802
1031314730736
111230a392763
12609b2a67a8
132c50889c93
141730cc1c52
15c34278b0b
hex74a80def0

31314730736 has 80 divisors (see below), whose sum is σ = 65414908416. Its totient is φ = 14485540608.

The previous prime is 31314730709. The next prime is 31314730751. The reversal of 31314730736 is 63703741313.

It is a happy number.

It is a super-2 number, since 2×313147307362 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31314730736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1620266 + ... + 1639478.

Almost surely, 231314730736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31314730736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32707454208).

31314730736 is an abundant number, since it is smaller than the sum of its proper divisors (34100177680).

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

31314730736 is a wasteful number, since it uses less digits than its factorization.

31314730736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19390 (or 19384 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 38.

The spelling of 31314730736 in words is "thirty-one billion, three hundred fourteen million, seven hundred thirty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 23 43 46 86 92 103 172 184 206 344 368 412 688 824 989 1648 1978 2369 3956 4429 4738 7912 8858 9476 15824 17716 18952 19213 35432 37904 38426 70864 76852 101867 153704 203734 307408 407468 441899 814936 826159 883798 1629872 1652318 1767596 1978939 3304636 3535192 3957878 6609272 7070384 7915756 13218544 15831512 19001657 31663024 38003314 45515597 76006628 85094377 91031194 152013256 170188754 182062388 304026512 340377508 364124776 680755016 728249552 1361510032 1957170671 3914341342 7828682684 15657365368 31314730736