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31416861413 = 72641160437
BaseRepresentation
bin11101010000100101…
…110100001011100101
310000002111100220211202
4131100211310023211
51003320204031123
622233244212245
72161352626100
oct352045641345
9100074326752
1031416861413
1112361aa9a83
12610953a085
132c68a98532
1417406a9737
15c3d1eea28
hex7509742e5

31416861413 has 6 divisors (see below), whose sum is σ = 36546144966. Its totient is φ = 26928738312.

The previous prime is 31416861341. The next prime is 31416861451.

It is a happy number.

31416861413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 31416499009 + 362404 = 177247^2 + 602^2 .

It is not a de Polignac number, because 31416861413 - 210 = 31416860389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31416861493) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 320580170 + ... + 320580267.

It is an arithmetic number, because the mean of its divisors is an integer number (6091024161).

Almost surely, 231416861413 is an apocalyptic number.

It is an amenable number.

31416861413 is a deficient number, since it is larger than the sum of its proper divisors (5129283553).

31416861413 is an equidigital number, since it uses as much as digits as its factorization.

31416861413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641160451 (or 641160444 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The spelling of 31416861413 in words is "thirty-one billion, four hundred sixteen million, eight hundred sixty-one thousand, four hundred thirteen".

Divisors: 1 7 49 641160437 4488123059 31416861413