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31411293856 = 2517293753813
BaseRepresentation
bin11101010000010000…
…100100111010100000
310000002002220001120221
4131100100210322200
51003312242400411
622232525012424
72161254410125
oct352020447240
9100062801527
1031411293856
1112359946a98
1261076b4114
132c67899317
14173da5a74c
15c3c9a0071
hex750424ea0

31411293856 has 96 divisors (see below), whose sum is σ = 69568586640. Its totient is φ = 13886078976.

The previous prime is 31411293853. The next prime is 31411293869. The reversal of 31411293856 is 65839211413.

It can be written as a sum of positive squares in 8 ways, for example, as 27377011600 + 4034282256 = 165460^2 + 63516^2 .

It is not an unprimeable number, because it can be changed into a prime (31411293853) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 556806 + ... + 610618.

Almost surely, 231411293856 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 31411293856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34784293320).

31411293856 is an abundant number, since it is smaller than the sum of its proper divisors (38157292784).

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

31411293856 is a wasteful number, since it uses less digits than its factorization.

31411293856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53906 (or 53898 counting only the distinct ones).

The product of its digits is 155520, while the sum is 43.

The spelling of 31411293856 in words is "thirty-one billion, four hundred eleven million, two hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 29 32 34 37 58 68 74 116 136 148 232 272 296 464 493 544 592 629 928 986 1073 1184 1258 1972 2146 2516 3944 4292 5032 7888 8584 10064 15776 17168 18241 20128 34336 36482 53813 72964 107626 145928 215252 291856 430504 583712 861008 914821 1560577 1722016 1829642 1991081 3121154 3659284 3982162 6242308 7318568 7964324 12484616 14637136 15928648 24969232 26529809 29274272 31857296 33848377 49938464 53059618 57741349 63714592 67696754 106119236 115482698 135393508 212238472 230965396 270787016 424476944 461930792 541574032 848953888 923861584 981602933 1083148064 1847723168 1963205866 3926411732 7852823464 15705646928 31411293856