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136024441524 = 22323778456709
BaseRepresentation
bin111111010101110110…
…0000100001010110100
3111000002202222120202200
41332223230010022310
54212034224112044
6142253323504500
712553545450546
oct1765354041264
9430082876680
10136024441524
1152762284224
1222442388130
13ca9a04a52a
14682563b696
153811bc8369
hex1fabb042b4

136024441524 has 18 divisors (see below), whose sum is σ = 343839560610. Its totient is φ = 45341480496.

The previous prime is 136024441513. The next prime is 136024441577. The reversal of 136024441524 is 425144420631.

136024441524 is a `hidden beast` number, since 1 + 3 + 60 + 2 + 444 + 152 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75812115600 + 60212325924 = 275340^2 + 245382^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3778456709 = 136024441524 / (1 + 3 + 6 + 0 + 2 + 4 + 4 + 4 + 1 + 5 + 2 + 4).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1889228319 + ... + 1889228390.

Almost surely, 2136024441524 is an apocalyptic number.

It is an amenable number.

136024441524 is an abundant number, since it is smaller than the sum of its proper divisors (207815119086).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136024441524 is a wasteful number, since it uses less digits than its factorization.

136024441524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778456719 (or 3778456714 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 136024441524 in words is "one hundred thirty-six billion, twenty-four million, four hundred forty-one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3778456709 7556913418 11335370127 15113826836 22670740254 34006110381 45341480508 68012220762 136024441524