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42312566304 = 2532146918633
BaseRepresentation
bin100111011010000001…
…101000011000100000
311001012211120002002100
4213122001220120200
51143124004110204
631234345050400
73025354610421
oct473201503040
9131184502070
1042312566304
1116a43382368
12824a486a00
133cb42073a8
14209578b648
151179a3ba39
hex9da068620

42312566304 has 36 divisors (see below), whose sum is σ = 120326361246. Its totient is φ = 14104188672.

The previous prime is 42312566297. The next prime is 42312566323. The reversal of 42312566304 is 40366521324.

42312566304 is a `hidden beast` number, since 4 + 2 + 3 + 12 + 5 + 6 + 630 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22785298704 + 19527267600 = 150948^2 + 139740^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73459029 + ... + 73459604.

Almost surely, 242312566304 is an apocalyptic number.

It is an amenable number.

42312566304 is an abundant number, since it is smaller than the sum of its proper divisors (78013794942).

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

42312566304 is a wasteful number, since it uses less digits than its factorization.

42312566304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146918649 (or 146918638 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 42312566304 in words is "forty-two billion, three hundred twelve million, five hundred sixty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 146918633 293837266 440755899 587674532 881511798 1175349064 1322267697 1763023596 2350698128 2644535394 3526047192 4701396256 5289070788 7052094384 10578141576 14104188768 21156283152 42312566304