Search a number
-
+
131141324013441 = 3738316305025987
BaseRepresentation
bin11101110100010110111000…
…000010000111111110000001
3122012022222200100111102222220
4131310112320002013332001
5114142104412421412231
61142525254220321253
736423435155563350
oct3564267002077601
9565288610442886
10131141324013441
11388707a5616145
12128600980a3229
13582375c807b01
1424553b9a05997
151026447db6896
hex7745b8087f81

131141324013441 has 16 divisors (see below), whose sum is σ = 200356159340544. Its totient is φ = 74742239119824.

The previous prime is 131141324013439. The next prime is 131141324013449. The reversal of 131141324013441 is 144310423141131.

It is not a de Polignac number, because 131141324013441 - 21 = 131141324013439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131141324013449) 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 15 ways as a sum of consecutive naturals, for example, 8152504951 + ... + 8152521036.

It is an arithmetic number, because the mean of its divisors is an integer number (12522259958784).

Almost surely, 2131141324013441 is an apocalyptic number.

It is an amenable number.

131141324013441 is a deficient number, since it is larger than the sum of its proper divisors (69214835327103).

131141324013441 is a wasteful number, since it uses less digits than its factorization.

131141324013441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16305026380.

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 131141324013441 its reverse (144310423141131), we get a palindrome (275451747154572).

The spelling of 131141324013441 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, thirteen thousand, four hundred forty-one".

Divisors: 1 3 7 21 383 1149 2681 8043 16305025987 48915077961 114135181909 342405545727 6244824953021 18734474859063 43713774671147 131141324013441