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57237143040 = 2932572112419
BaseRepresentation
bin110101010011100110…
…010111111000000000
312110201221210010111200
4311103212113320000
51414210202034130
642143330341200
74064250455100
oct652346277000
9173657703450
1057237143040
1122301969800
12b11472a800
13552223629c
142aad97b200
15174ee03760
hexd53997e00

57237143040 has 1080 divisors, whose sum is σ = 254065691880. Its totient is φ = 11865047040.

The previous prime is 57237143027. The next prime is 57237143053. The reversal of 57237143040 is 4034173275.

57237143040 is a `hidden beast` number, since 572 + 3 + 7 + 1 + 43 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (57237143027) and next prime (57237143053).

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

It is a junction number, because it is equal to n+sod(n) for n = 57237142986 and 57237143004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 136603951 + ... + 136604369.

It is an arithmetic number, because the mean of its divisors is an integer number (235246011).

Almost surely, 257237143040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57237143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127032845940).

57237143040 is an abundant number, since it is smaller than the sum of its proper divisors (196828548840).

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

57237143040 is a wasteful number, since it uses less digits than its factorization.

57237143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 57237143040 in words is "fifty-seven billion, two hundred thirty-seven million, one hundred forty-three thousand, forty".