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42331520544 = 253440953339
BaseRepresentation
bin100111011011001001…
…111011111000100000
311001021011020001102020
4213123021323320200
51143143332124134
631240303221440
73026004662535
oct473311737040
9131234201366
1042331520544
1116a53048a25
1282548a7880
133cb8112811
1420980c2d8c
15117b532b49
hex9db27be20

42331520544 has 24 divisors (see below), whose sum is σ = 111120241680. Its totient is φ = 14110506816.

The previous prime is 42331520527. The next prime is 42331520563. The reversal of 42331520544 is 44502513324.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-4 number, since 4×423315205444 (a number of 44 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 220476574 + ... + 220476765.

It is an arithmetic number, because the mean of its divisors is an integer number (4630010070).

Almost surely, 242331520544 is an apocalyptic number.

It is an amenable number.

42331520544 is an abundant number, since it is smaller than the sum of its proper divisors (68788721136).

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

42331520544 is a wasteful number, since it uses less digits than its factorization.

42331520544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440953352 (or 440953344 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 42331520544 in words is "forty-two billion, three hundred thirty-one million, five hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 440953339 881906678 1322860017 1763813356 2645720034 3527626712 5291440068 7055253424 10582880136 14110506848 21165760272 42331520544