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57311444141 = 72412832101
BaseRepresentation
bin110101011000000001…
…110011110010101101
312110221010121000110022
4311120001303302231
51414333212203031
642154543051525
74066142144300
oct653001636255
9173833530408
1057311444141
112233a8a8276
12b1355a0ba5
13553474c733
142ab979cb37
1517566cd97b
hexd58073cad

57311444141 has 54 divisors (see below), whose sum is σ = 69852180906. Its totient is φ = 46879728000.

The previous prime is 57311444117. The next prime is 57311444227. The reversal of 57311444141 is 14144411375.

57311444141 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 3 ways, for example, as 843902500 + 56467541641 = 29050^2 + 237629^2 .

It is not a de Polignac number, because 57311444141 - 226 = 57244335277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57311444101) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 567439991 + ... + 567440091.

Almost surely, 257311444141 is an apocalyptic number.

It is an amenable number.

57311444141 is a deficient number, since it is larger than the sum of its proper divisors (12540736765).

57311444141 is an equidigital number, since it uses as much as digits as its factorization.

57311444141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 232 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The spelling of 57311444141 in words is "fifty-seven billion, three hundred eleven million, four hundred forty-four thousand, one hundred forty-one".

Divisors: 1 7 41 49 83 101 287 581 707 1681 2009 3403 4067 4141 4949 6889 8383 11767 23821 28987 48223 58681 82369 139523 166747 169781 202909 282449 337561 343703 410767 695789 976661 1188467 1977143 2405921 4870523 6836627 8319269 11580409 13840001 14091823 16841447 28527349 34093661 81062863 98642761 199691443 567440041 690499327 1169621309 1397840101 8187349163 57311444141