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42408480424 = 23537321372
BaseRepresentation
bin100111011111101111…
…100000111010101000
311001110112001000112011
4213133233200322220
51143323032333144
631252052525304
73030631064422
oct473757407250
9131415030464
1042408480424
1116a92533032
128276620834
133ccb04a1cb
1420a43d7812
151183185a34
hex9dfbe0ea8

42408480424 has 72 divisors (see below), whose sum is σ = 82745162010. Its totient is φ = 20369396736.

The previous prime is 42408480403. The next prime is 42408480487.

42408480424 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 9 ways, for example, as 16057451524 + 26351028900 = 126718^2 + 162330^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 309550884 + ... + 309551020.

Almost surely, 242408480424 is an apocalyptic number.

It is an amenable number.

42408480424 is a deficient number, since it is larger than the sum of its proper divisors (40336681586).

42408480424 is an equidigital number, since it uses as much as digits as its factorization.

42408480424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 42408480424 in words is "forty-two billion, four hundred eight million, four hundred eighty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 53 73 106 137 146 212 274 292 424 548 584 1096 3869 5329 7261 7738 10001 10658 14522 15476 18769 20002 21316 29044 30952 37538 40004 42632 58088 75076 80008 150152 282437 530053 564874 730073 994757 1060106 1129748 1370137 1460146 1989514 2120212 2259496 2740274 2920292 3979028 4240424 5480548 5840584 7958056 10961096 38693869 72617261 77387738 100020001 145234522 154775476 200040002 290469044 309550952 400080004 580938088 800160008 5301060053 10602120106 21204240212 42408480424