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138120237848844 = 22332277437582613
BaseRepresentation
bin11111011001111010011111…
…101101101001100100001100
3200010001011110212010021102000
4133121322133231221210030
5121100430221342130334
61205431321124232300
741043600152446206
oct3731723755514414
9603034425107360
10138120237848844
1140011511529979
12135a876423b690
135c0b8b4710364
1426170ab5b9776
1510e7c572e8299
hex7d9e9fb6990c

138120237848844 has 96 divisors (see below), whose sum is σ = 360151113853440. Its totient is φ = 45775561374144.

The previous prime is 138120237848819. The next prime is 138120237848867. The reversal of 138120237848844 is 448848732021831.

138120237848844 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 20 + 23 + 78 + 488 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14424082 + ... + 22006694.

It is an arithmetic number, because the mean of its divisors is an integer number (3751574102640).

Almost surely, 2138120237848844 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 138120237848844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180075556926720).

138120237848844 is an abundant number, since it is smaller than the sum of its proper divisors (222030876004596).

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

138120237848844 is a wasteful number, since it uses less digits than its factorization.

138120237848844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7583596 (or 7583588 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 138120237848844 in words is "one hundred thirty-eight trillion, one hundred twenty billion, two hundred thirty-seven million, eight hundred forty-eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 227 454 681 743 908 1362 1486 2043 2229 2724 2972 4086 4458 6129 6687 8172 8916 12258 13374 20061 24516 26748 40122 80244 168661 337322 505983 674644 1011966 1517949 2023932 3035898 4553847 6071796 7582613 9107694 15165226 18215388 22747839 30330452 45495678 68243517 90991356 136487034 204730551 272974068 409461102 818922204 1721253151 3442506302 5163759453 5633881459 6885012604 10327518906 11267762918 15491278359 16901644377 20655037812 22535525836 30982556718 33803288754 46473835077 50704933131 61965113436 67606577508 92947670154 101409866262 152114799393 185895340308 202819732524 304229598786 608459197572 1278891091193 2557782182386 3836673273579 5115564364772 7673346547158 11510019820737 15346693094316 23020039641474 34530059462211 46040079282948 69060118924422 138120237848844