Search a number
-
+
57326141457144 = 23327113742344161
BaseRepresentation
bin11010000100011010010000…
…10011000100001011111000
321111222022210100210212220200
431002031020103010023320
530003212414203112034
6321531133230122200
715034451140345530
oct1502151023041370
9244868710725820
1057326141457144
11172a19753aa36a
12651a234950360
1325caaa7a1b231
14102285877a4c0
156962b7a14a99
hex3423484c42f8

57326141457144 has 48 divisors (see below), whose sum is σ = 177438056892720. Its totient is φ = 16378897559040.

The previous prime is 57326141457103. The next prime is 57326141457227. The reversal of 57326141457144 is 44175414162375.

57326141457144 is a `hidden beast` number, since 5 + 7 + 3 + 2 + 6 + 1 + 41 + 457 + 144 = 666.

It is a super-3 number, since 3×573261414571443 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56871171577 + ... + 56871172584.

It is an arithmetic number, because the mean of its divisors is an integer number (3696626185265).

Almost surely, 257326141457144 is an apocalyptic number.

It is an amenable number.

57326141457144 is an abundant number, since it is smaller than the sum of its proper divisors (120111915435576).

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

57326141457144 is a wasteful number, since it uses less digits than its factorization.

57326141457144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113742344180 (or 113742344173 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 57326141457144 in words is "fifty-seven trillion, three hundred twenty-six billion, one hundred forty-one million, four hundred fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 113742344161 227484688322 341227032483 454969376644 682454064966 796196409127 909938753288 1023681097449 1364908129932 1592392818254 2047362194898 2388589227381 2729816259864 3184785636508 4094724389796 4777178454762 6369571273016 7165767682143 8189448779592 9554356909524 14331535364286 19108713819048 28663070728572 57326141457144