Search a number
-
+
31144477444113 = 3111019344277661
BaseRepresentation
bin1110001010011011000111…
…00000111100100000010001
311002021101100011220210100210
413011031203200330200101
513040232342211202423
6150123324142434333
76363054120222405
oct705154340744021
9132241304823323
1031144477444113
119a18331645120
1235b00125929a9
13144bbb0aa6997
14799587939105
15390215396b93
hex1c536383c811

31144477444113 has 16 divisors (see below), whose sum is σ = 45749583433152. Its totient is φ = 18688555320000.

The previous prime is 31144477444111. The next prime is 31144477444121.

31144477444113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31144477444113 - 21 = 31144477444111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31144477444111) 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, 4672135498 + ... + 4672142163.

It is an arithmetic number, because the mean of its divisors is an integer number (2859348964572).

Almost surely, 231144477444113 is an apocalyptic number.

31144477444113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31144477444113 is a deficient number, since it is larger than the sum of its proper divisors (14605105989039).

31144477444113 is a wasteful number, since it uses less digits than its factorization.

31144477444113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9344277776.

The product of its digits is 1806336, while the sum is 48.

The spelling of 31144477444113 in words is "thirty-one trillion, one hundred forty-four billion, four hundred seventy-seven million, four hundred forty-four thousand, one hundred thirteen".

Divisors: 1 3 11 33 101 303 1111 3333 9344277661 28032832983 102787054271 308361162813 943772043761 2831316131283 10381492481371 31144477444113