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242113314020 = 22573229724153
BaseRepresentation
bin1110000101111100010…
…0111111110011100100
3212010221021220200211112
43201133010333303210
512431322002022040
6303120400324152
723330536133114
oct3413704776344
9763837820745
10242113314020
1193752721356
123ab0b313658
1319aa61716b6
14ba0b203044
156470753365
hex385f13fce4

242113314020 has 48 divisors (see below), whose sum is σ = 517654245360. Its totient is φ = 95101433856.

The previous prime is 242113313989. The next prime is 242113314049. The reversal of 242113314020 is 20413311242.

It can be written as a sum of positive squares in 8 ways, for example, as 20692247104 + 221421066916 = 143848^2 + 470554^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27737 + ... + 696416.

It is an arithmetic number, because the mean of its divisors is an integer number (10784463445).

Almost surely, 2242113314020 is an apocalyptic number.

242113314020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242113314020 is an abundant number, since it is smaller than the sum of its proper divisors (275540931340).

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

242113314020 is a wasteful number, since it uses less digits than its factorization.

242113314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724464 (or 724462 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 242113314020 its reverse (20413311242), we get a palindrome (262526625262).

The spelling of 242113314020 in words is "two hundred forty-two billion, one hundred thirteen million, three hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 229 292 365 458 730 916 1145 1460 2290 4580 16717 33434 66868 83585 167170 334340 724153 1448306 2896612 3620765 7241530 14483060 52863169 105726338 165831037 211452676 264315845 331662074 528631690 663324148 829155185 1057263380 1658310370 3316620740 12105665701 24211331402 48422662804 60528328505 121056657010 242113314020