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42331606144 = 27733451181
BaseRepresentation
bin100111011011001010…
…010000110010000000
311001021011101101211121
4213123022100302000
51143143342344034
631240305122024
73026005500232
oct473312206200
9131234341747
1042331606144
1116a530a7273
128254929314
133cb8142779
142098106252
15117b54d1b4
hex9db290c80

42331606144 has 32 divisors (see below), whose sum is σ = 84447734940. Its totient is φ = 21136880640.

The previous prime is 42331606127. The next prime is 42331606157. The reversal of 42331606144 is 44160613324.

It can be written as a sum of positive squares in 2 ways, for example, as 32000916544 + 10330689600 = 178888^2 + 101640^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131767 + ... + 319414.

Almost surely, 242331606144 is an apocalyptic number.

It is an amenable number.

42331606144 is a deficient number, since it is larger than the sum of its proper divisors (42116128796).

42331606144 is an equidigital number, since it uses as much as digits as its factorization.

42331606144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451928 (or 451916 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 42331606144 in words is "forty-two billion, three hundred thirty-one million, six hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 733 1466 2932 5864 11728 23456 46912 93824 451181 902362 1804724 3609448 7218896 14437792 28875584 57751168 330715673 661431346 1322862692 2645725384 5291450768 10582901536 21165803072 42331606144