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31144044113 = 721348891749
BaseRepresentation
bin11101000000010101…
…000110011001010001
32222101111000100212022
4131000111012121101
51002240333402423
622150220541225
72151531002300
oct350025063121
988344010768
1031144044113
1112232001336
1260520b1815
132c243c7290
141716370437
15c242aedc8
hex740546651

31144044113 has 12 divisors (see below), whose sum is σ = 39015616500. Its totient is φ = 24641440992.

The previous prime is 31144044091. The next prime is 31144044119.

It is a happy number.

31144044113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 9171318289 + 21972725824 = 95767^2 + 148232^2 .

It is not a de Polignac number, because 31144044113 - 26 = 31144044049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31144044119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24445238 + ... + 24446511.

It is an arithmetic number, because the mean of its divisors is an integer number (3251301375).

Almost surely, 231144044113 is an apocalyptic number.

It is an amenable number.

31144044113 is a deficient number, since it is larger than the sum of its proper divisors (7871572387).

31144044113 is a wasteful number, since it uses less digits than its factorization.

31144044113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48891776 (or 48891769 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 311440 and 44113, that added together give a palindrome (355553).

The spelling of 31144044113 in words is "thirty-one billion, one hundred forty-four million, forty-four thousand, one hundred thirteen".

Divisors: 1 7 13 49 91 637 48891749 342242243 635592737 2395695701 4449149159 31144044113