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42361049124 = 2232343032
BaseRepresentation
bin100111011100111010…
…100101000000100100
311001100012210021000100
4213130322211000210
51143223412032444
631243240144100
73026513655642
oct473472450044
9131305707010
1042361049124
1116a68787209
128262768030
133cc1281054
14209bdac192
15117de16e69
hex9dcea5024

42361049124 has 27 divisors (see below), whose sum is σ = 107082440283. Its totient is φ = 14119938072.

The previous prime is 42361049117. The next prime is 42361049147. The reversal of 42361049124 is 42194016324.

The square root of 42361049124 is 205818.

It is a perfect power (a square), and thus also a powerful number.

42361049124 is a `hidden beast` number, since 4 + 23 + 610 + 4 + 9 + 12 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1217757 + ... + 1252059.

Almost surely, 242361049124 is an apocalyptic number.

42361049124 is the 205818-th square number.

It is an amenable number.

42361049124 is an abundant number, since it is smaller than the sum of its proper divisors (64721391159).

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

42361049124 is an frugal number, since it uses more digits than its factorization.

42361049124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68616 (or 34308 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 42361049124 by its sum of digits (36), we get a square (1524997768464 = 12349082).

42361049124 divided by its sum of digits (36) gives a square (1176695809 = 343032).

The spelling of 42361049124 in words is "forty-two billion, three hundred sixty-one million, forty-nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 34303 68606 102909 137212 205818 308727 411636 617454 1234908 1176695809 2353391618 3530087427 4706783236 7060174854 10590262281 14120349708 21180524562 42361049124