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13413631431 = 317436116567
BaseRepresentation
bin11000111111000001…
…11100010111000111
31021121211010002010010
430133200330113013
5204432342201211
610055004401303
7653254662114
oct143740742707
937554102103
1013413631431
115763710912
122724246233
131359ca6a25
1491367b90b
155379094a6
hex31f83c5c7

13413631431 has 16 divisors (see below), whose sum is σ = 19377287424. Its totient is φ = 8220664704.

The previous prime is 13413631369. The next prime is 13413631481.

13413631431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13413631431 - 26 = 13413631367 is a prime.

It is a super-2 number, since 2×134136314312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413631481) 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 15 ways as a sum of consecutive naturals, for example, 3056091 + ... + 3060476.

It is an arithmetic number, because the mean of its divisors is an integer number (1211080464).

Almost surely, 213413631431 is an apocalyptic number.

13413631431 is a deficient number, since it is larger than the sum of its proper divisors (5963655993).

13413631431 is a wasteful number, since it uses less digits than its factorization.

13413631431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6116630.

The product of its digits is 7776, while the sum is 30.

The spelling of 13413631431 in words is "thirteen billion, four hundred thirteen million, six hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 17 43 51 129 731 2193 6116567 18349701 103981639 263012381 311944917 789037143 4471210477 13413631431