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42305264424 = 23322932005369
BaseRepresentation
bin100111011001100101…
…110001101100101000
311001012022211002210100
4213121211301230220
51143120121430144
631233524345400
73025235546223
oct473145615450
9131168732710
1042305264424
1116a3a245355
128247b45260
133cb284b957
14209480a5ba
151179098269
hex9d9971b28

42305264424 has 48 divisors (see below), whose sum is σ = 114967862100. Its totient is φ = 14053618944.

The previous prime is 42305264413. The next prime is 42305264447. The reversal of 42305264424 is 42446250324.

42305264424 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 5 + 2 + 644 + 2 + 4 = 666.

42305264424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31958712900 + 10346551524 = 178770^2 + 101718^2 .

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 11 ways as a sum of consecutive naturals, for example, 981589 + ... + 1023780.

Almost surely, 242305264424 is an apocalyptic number.

It is an amenable number.

42305264424 is an abundant number, since it is smaller than the sum of its proper divisors (72662597676).

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

42305264424 is a wasteful number, since it uses less digits than its factorization.

42305264424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005674 (or 2005667 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 42305264424 in words is "forty-two billion, three hundred five million, two hundred sixty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 586 879 1172 1758 2344 2637 3516 5274 7032 10548 21096 2005369 4010738 6016107 8021476 12032214 16042952 18048321 24064428 36096642 48128856 72193284 144386568 587573117 1175146234 1762719351 2350292468 3525438702 4700584936 5288158053 7050877404 10576316106 14101754808 21152632212 42305264424