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13407813431 = 104914718689
BaseRepresentation
bin11000111110010101…
…01111111100110111
31021121102011111022122
430133022233330313
5204424400012211
610054235550155
7653154351035
oct143712577467
937542144278
1013407813431
1157603a7751
1227222bb35b
131358a1a81c
149129a5555
1553715a6db
hex31f2aff37

13407813431 has 8 divisors (see below), whose sum is σ = 13431264000. Its totient is φ = 13384385280.

The previous prime is 13407813427. The next prime is 13407813437. The reversal of 13407813431 is 13431870431.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13407813431 - 22 = 13407813427 is a prime.

It is a super-2 number, since 2×134078134312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13407813391 and 13407813400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13407813437) 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 7 ways as a sum of consecutive naturals, for example, 1538735 + ... + 1547423.

It is an arithmetic number, because the mean of its divisors is an integer number (1678908000).

Almost surely, 213407813431 is an apocalyptic number.

13407813431 is a deficient number, since it is larger than the sum of its proper divisors (23450569).

13407813431 is a wasteful number, since it uses less digits than its factorization.

13407813431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11209.

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 13407813431 in words is "thirteen billion, four hundred seven million, eight hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 1049 1471 8689 1543079 9114761 12781519 13407813431