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42327472324 = 22731378811201
BaseRepresentation
bin100111011010111010…
…011111100011000100
311001020212121101022011
4213122322133203010
51143141313103244
631240040344004
73025625402254
oct473272374304
9131225541264
1042327472324
1116a50833495
128253475004
133cb7326017
14209774b964
15117aed3434
hex9dae9f8c4

42327472324 has 48 divisors (see below), whose sum is σ = 75784763376. Its totient is φ = 20680704000.

The previous prime is 42327472289. The next prime is 42327472351.

42327472324 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 8717583424 + 33609888900 = 93368^2 + 183330^2 .

It is a super-2 number, since 2×423274723242 (a number of 22 digits) contains 22 as substring.

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, 35242924 + ... + 35244124.

It is an arithmetic number, because the mean of its divisors is an integer number (1578849237).

Almost surely, 242327472324 is an apocalyptic number.

It is an amenable number.

42327472324 is a deficient number, since it is larger than the sum of its proper divisors (33457291052).

42327472324 is a wasteful number, since it uses less digits than its factorization.

42327472324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2294 counting only the distinct ones).

The product of its digits is 451584, while the sum is 40.

The spelling of 42327472324 in words is "forty-two billion, three hundred twenty-seven million, four hundred seventy-two thousand, three hundred twenty-four".

Divisors: 1 2 4 73 137 146 274 292 548 881 1201 1762 2402 3524 4804 10001 20002 40004 64313 87673 120697 128626 164537 175346 241394 257252 329074 350692 482788 658148 1058081 2116162 4232324 8810881 12011201 17621762 24022402 35243524 48044804 77239913 144957097 154479826 289914194 308959652 579828388 10581868081 21163736162 42327472324