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31365080940 = 22355318154493
BaseRepresentation
bin11101001101100000…
…010010011101101100
32222221212221012101110
4131031200102131230
51003213430042230
622224154312020
72160153534444
oct351540223554
988855835343
1031365080940
11123358525a6
1260b4128610
132c5b1388bb
14173786b124
15c388c24b0
hex74d81276c

31365080940 has 96 divisors (see below), whose sum is σ = 89975261376. Its totient is φ = 8160721920.

The previous prime is 31365080917. The next prime is 31365080963. The reversal of 31365080940 is 4908056313.

It is an interprime number because it is at equal distance from previous prime (31365080917) and next prime (31365080963).

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 31 ways as a sum of consecutive naturals, for example, 548334 + ... + 602826.

It is an arithmetic number, because the mean of its divisors is an integer number (937242306).

Almost surely, 231365080940 is an apocalyptic number.

31365080940 is a gapful number since it is divisible by the number (30) 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 31365080940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44987630688).

31365080940 is an abundant number, since it is smaller than the sum of its proper divisors (58610180436).

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

31365080940 is a wasteful number, since it uses less digits than its factorization.

31365080940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54739 (or 54737 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 31365080940 in words is "thirty-one billion, three hundred sixty-five million, eighty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 181 212 265 318 362 530 543 636 724 795 905 1060 1086 1590 1810 2172 2715 3180 3620 5430 9593 10860 19186 28779 38372 47965 54493 57558 95930 108986 115116 143895 163479 191860 217972 272465 287790 326958 544930 575580 653916 817395 1089860 1634790 2888129 3269580 5776258 8664387 9863233 11552516 14440645 17328774 19726466 28881290 29589699 34657548 39452932 43321935 49316165 57762580 59179398 86643870 98632330 118358796 147948495 173287740 197264660 295896990 522751349 591793980 1045502698 1568254047 2091005396 2613756745 3136508094 5227513490 6273016188 7841270235 10455026980 15682540470 31365080940