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137157440211 = 3411153936521
BaseRepresentation
bin111111110111100111…
…0000111001011010011
3111010000201220212210000
41333233032013023103
54221344301041321
6143001555541043
712623614001661
oct1775716071323
9433021825700
10137157440211
1153193887980
12226b98ba783
13cc1a9b305c
1468d1cc9c31
15387b3cb826
hex1fef3872d3

137157440211 has 20 divisors (see below), whose sum is σ = 223515829944. Its totient is φ = 83125720800.

The previous prime is 137157440201. The next prime is 137157440219. The reversal of 137157440211 is 112044751731.

137157440211 is a `hidden beast` number, since 1 + 3 + 71 + 574 + 4 + 0 + 2 + 11 = 666.

It is not a de Polignac number, because 137157440211 - 27 = 137157440083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137157440219) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76967370 + ... + 76969151.

Almost surely, 2137157440211 is an apocalyptic number.

137157440211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137157440211 is a deficient number, since it is larger than the sum of its proper divisors (86358389733).

137157440211 is a wasteful number, since it uses less digits than its factorization.

137157440211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153936544 (or 153936535 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 137157440211 in words is "one hundred thirty-seven billion, one hundred fifty-seven million, four hundred forty thousand, two hundred eleven".

Divisors: 1 3 9 11 27 33 81 99 297 891 153936521 461809563 1385428689 1693301731 4156286067 5079905193 12468858201 15239715579 45719146737 137157440211