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15120896934144 = 283372539209581
BaseRepresentation
bin1101110000001001101110…
…1100001100000100000000
31222112112200022020222002010
43130002123230030010000
53440220044103343034
652054235534252520
73120306631161261
oct334023354140400
958475608228063
1015120896934144
1148aa811133591
121842645957140
13858b82198bc1
143a3bd8dba968
151b34e123d3e9
hexdc09bb0c100

15120896934144 has 144 divisors (see below), whose sum is σ = 41347778884160. Its totient is φ = 4902119792640.

The previous prime is 15120896934119. The next prime is 15120896934233. The reversal of 15120896934144 is 44143969802151.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72043434 + ... + 72253014.

Almost surely, 215120896934144 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 15120896934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20673889442080).

15120896934144 is an abundant number, since it is smaller than the sum of its proper divisors (26226881950016).

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

15120896934144 is a wasteful number, since it uses less digits than its factorization.

15120896934144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212176 (or 212162 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 15120896934144 in words is "fifteen trillion, one hundred twenty billion, eight hundred ninety-six million, nine hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 2539 3552 4736 5078 7104 7617 9472 10156 14208 15234 20312 28416 30468 40624 60936 81248 93943 121872 162496 187886 209581 243744 281829 324992 375772 419162 487488 563658 628743 649984 751544 838324 974976 1127316 1257486 1503088 1676648 1949952 2254632 2514972 3006176 3353296 4509264 5029944 6012352 6706592 7754497 9018528 10059888 12024704 13413184 15508994 18037056 20119776 23263491 24049408 26826368 31017988 36074112 40239552 46526982 53652736 62035976 72148224 80479104 93053964 124071952 160958208 186107928 248143904 372215856 496287808 532126159 744431712 992575616 1064252318 1488863424 1596378477 1985151232 2128504636 2977726848 3192756954 4257009272 5955453696 6385513908 8514018544 12771027816 17028037088 19688667883 25542055632 34056074176 39377335766 51084111264 59066003649 68112148352 78754671532 102168222528 118132007298 136224296704 157509343064 204336445056 236264014596 315018686128 408672890112 472528029192 630037372256 945056058384 1260074744512 1890112116768 2520149489024 3780224233536 5040298978048 7560448467072 15120896934144