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152515541040 = 24352376136307
BaseRepresentation
bin1000111000001010100…
…0100111100000110000
3112120200001220020110020
42032002220213200300
54444322434303130
6154021545203440
714006322465102
oct2160250474060
9476601806406
10152515541040
1159755057395
1225685190580
13114c7790595
14754b8c9572
153e79879e10
hex2382a27830

152515541040 has 160 divisors (see below), whose sum is σ = 494016523776. Its totient is φ = 38850324480.

The previous prime is 152515541033. The next prime is 152515541093. The reversal of 152515541040 is 40145515251.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 152515540992 and 152515541010.

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, 4182567 + ... + 4218873.

Almost surely, 2152515541040 is an apocalyptic number.

152515541040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152515541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247008261888).

152515541040 is an abundant number, since it is smaller than the sum of its proper divisors (341500982736).

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

152515541040 is a wasteful number, since it uses less digits than its factorization.

152515541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37107 (or 37101 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 33.

The spelling of 152515541040 in words is "one hundred fifty-two billion, five hundred fifteen million, five hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 761 920 1104 1380 1522 1840 2283 2760 3044 3805 4566 5520 6088 7610 9132 11415 12176 15220 17503 18264 22830 30440 35006 36307 36528 45660 52509 60880 70012 72614 87515 91320 105018 108921 140024 145228 175030 181535 182640 210036 217842 262545 280048 290456 350060 363070 420072 435684 525090 544605 580912 700120 726140 835061 840144 871368 1050180 1089210 1400240 1452280 1670122 1742736 2100360 2178420 2505183 2904560 3340244 4175305 4200720 4356840 5010366 6680488 8350610 8713680 10020732 12525915 13360976 16701220 20041464 25051830 27629627 33402440 40082928 50103660 55259254 66804880 82888881 100207320 110518508 138148135 165777762 200414640 221037016 276296270 331555524 414444405 442074032 552592540 635481421 663111048 828888810 1105185080 1270962842 1326222096 1657777620 1906444263 2210370160 2541925684 3177407105 3315555240 3812888526 5083851368 6354814210 6631110480 7625777052 9532221315 10167702736 12709628420 15251554104 19064442630 25419256840 30503108208 38128885260 50838513680 76257770520 152515541040