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31460314288 = 24133143113467
BaseRepresentation
bin11101010011001011…
…100100110010110000
310000012112010112222111
4131103023210302300
51003412320024123
622241435415104
72162421154624
oct352313446260
9100175115874
1031460314288
1112384588847
12611bbb4494
132c74aa08b0
14174637b184
15c41e3490d
hex7532e4cb0

31460314288 has 80 divisors (see below), whose sum is σ = 69337117696. Its totient is φ = 13724847360.

The previous prime is 31460314261. The next prime is 31460314297. The reversal of 31460314288 is 88241306413.

It is a self number, because there is not a number n which added to its sum of digits gives 31460314288.

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, 220531 + ... + 333997.

Almost surely, 231460314288 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 31460314288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34668558848).

31460314288 is an abundant number, since it is smaller than the sum of its proper divisors (37876803408).

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

31460314288 is a wasteful number, since it uses less digits than its factorization.

31460314288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113562 (or 113556 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 31460314288 in words is "thirty-one billion, four hundred sixty million, three hundred fourteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 31 43 52 62 86 104 124 172 208 248 344 403 496 559 688 806 1118 1333 1612 2236 2666 3224 4472 5332 6448 8944 10664 17329 21328 34658 69316 113467 138632 226934 277264 453868 907736 1475071 1815472 2950142 3517477 4879081 5900284 7034954 9758162 11800568 14069908 19516324 23601136 28139816 39032648 45727201 56279632 63428053 78065296 91454402 126856106 151251511 182908804 253712212 302503022 365817608 507424424 605006044 731635216 1014848848 1210012088 1966269643 2420024176 3932539286 7865078572 15730157144 31460314288