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31387914441 = 3213268272773
BaseRepresentation
bin11101001110110111…
…011001000011001001
310000000110220021001200
4131032313121003021
51003240301230231
622230331534413
72160551604432
oct351667310311
9100013807050
1031387914441
1112347728764
1260bb8ba409
132c62aa1950
14173a8d2489
15c3a8d2be6
hex74edd90c9

31387914441 has 12 divisors (see below), whose sum is σ = 48825644868. Its totient is φ = 19315639584.

The previous prime is 31387914431. The next prime is 31387914461. The reversal of 31387914441 is 14441978313.

It is a happy number.

31387914441 is a `hidden beast` number, since 3 + 138 + 79 + 1 + 4 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15713876025 + 15674038416 = 125355^2 + 125196^2 .

It is not a de Polignac number, because 31387914441 - 25 = 31387914409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31387914401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134136270 + ... + 134136503.

It is an arithmetic number, because the mean of its divisors is an integer number (4068803739).

Almost surely, 231387914441 is an apocalyptic number.

It is an amenable number.

31387914441 is a deficient number, since it is larger than the sum of its proper divisors (17437730427).

31387914441 is a wasteful number, since it uses less digits than its factorization.

31387914441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268272792 (or 268272789 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 31387914441 in words is "thirty-one billion, three hundred eighty-seven million, nine hundred fourteen thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 117 268272773 804818319 2414454957 3487546049 10462638147 31387914441