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120157903044 = 2232577732
BaseRepresentation
bin110111111100111111…
…0000001100011000100
3102111011000021220202100
41233321332001203010
53432040410344134
6131111052512100
711452424216064
oct1577176014304
9374130256670
10120157903044
1146a60005003
121b35477b630
13b43bb2251a
145b5c2cb3a4
1531d3c96999
hex1bf9f818c4

120157903044 has 27 divisors (see below), whose sum is σ = 303737734573. Its totient is φ = 40051941072.

The previous prime is 120157903007. The next prime is 120157903051. The reversal of 120157903044 is 440309751021.

The square root of 120157903044 is 346638.

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

120157903044 is a `hidden beast` number, since 12 + 0 + 1 + 579 + 0 + 30 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2585722500 + 117572180544 = 50850^2 + 342888^2 .

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

It is a Duffinian number.

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, 2050942 + ... + 2108714.

Almost surely, 2120157903044 is an apocalyptic number.

120157903044 is the 346638-th square number.

It is an amenable number.

120157903044 is an abundant number, since it is smaller than the sum of its proper divisors (183579831529).

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

120157903044 is an frugal number, since it uses more digits than its factorization.

120157903044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115556 (or 57778 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 120157903044 by its sum of digits (36), we get a square (4325684509584 = 20798282).

120157903044 divided by its sum of digits (36) gives a square (3337719529 = 577732).

It can be divided in two parts, 120157 and 903044, that added together give a palindrome (1023201).

The spelling of 120157903044 in words is "one hundred twenty billion, one hundred fifty-seven million, nine hundred three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 57773 115546 173319 231092 346638 519957 693276 1039914 2079828 3337719529 6675439058 10013158587 13350878116 20026317174 30039475761 40052634348 60078951522 120157903044