Search a number
-
+
131405505054345 = 32524671183673423
BaseRepresentation
bin11101111000001100111010…
…011100110100011010001001
3122020021020120120201211010100
4131320030322130310122021
5114210421433243214340
61143250504453040013
736451506625433604
oct3570147234643211
9566236516654110
10131405505054345
1138962841961305
12128a3325926009
135842641852462
1424640bb97933b
15102d25ab75830
hex77833a734689

131405505054345 has 24 divisors (see below), whose sum is σ = 227861868813696. Its totient is φ = 70054527807648.

The previous prime is 131405505054331. The next prime is 131405505054377. The reversal of 131405505054345 is 543450505504131.

It is a happy number.

131405505054345 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 5 + 50 + 50 + 543 + 4 + 5 = 666.

131405505054345 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-131405505054345 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 131405505054345.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591725697 + ... + 591947726.

It is an arithmetic number, because the mean of its divisors is an integer number (9494244533904).

Almost surely, 2131405505054345 is an apocalyptic number.

131405505054345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131405505054345 is a deficient number, since it is larger than the sum of its proper divisors (96456363759351).

131405505054345 is a wasteful number, since it uses less digits than its factorization.

131405505054345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183675901 (or 1183675898 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 131405505054345 in words is "one hundred thirty-one trillion, four hundred five billion, five hundred five million, fifty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 2467 7401 12335 22203 37005 111015 1183673423 3551020269 5918367115 10653060807 17755101345 53265304035 2920122334541 8760367003623 14600611672705 26281101010869 43801835018115 131405505054345