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31467040761 = 3132323149201
BaseRepresentation
bin11101010011100101…
…001110111111111001
310000012222210021222010
4131103211032333321
51003421030301021
622242235520133
72162532301422
oct352345167771
9100188707863
1031467040761
1112388362512
1261222b9049
132c762b7460
14174720c649
15c42812976
hex75394eff9

31467040761 has 48 divisors (see below), whose sum is σ = 48758001152. Its totient is φ = 17924544000.

The previous prime is 31467040729. The next prime is 31467040763. The reversal of 31467040761 is 16704076413.

It is not a de Polignac number, because 31467040761 - 25 = 31467040729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31467040763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614961 + ... + 664161.

Almost surely, 231467040761 is an apocalyptic number.

31467040761 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31467040761 is a deficient number, since it is larger than the sum of its proper divisors (17290960391).

31467040761 is a wasteful number, since it uses less digits than its factorization.

31467040761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49294 (or 49271 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 31467040761 in words is "thirty-one billion, four hundred sixty-seven million, forty thousand, seven hundred sixty-one".

Divisors: 1 3 13 23 31 39 69 93 299 403 529 713 897 1209 1587 2139 6877 9269 16399 20631 27807 49197 49201 147603 213187 639561 639613 1131623 1525231 1918839 3394869 4575693 14711099 19828003 26027329 35080313 44133297 59484009 78081987 105240939 338355277 456044069 806847199 1015065831 1368132207 2420541597 10489013587 31467040761