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131596352040 = 23354391927751
BaseRepresentation
bin111101010001111000…
…0001111101000101000
3110120200011202022221110
41322203300033220220
54124002131231130
6140242102310320
712336036351636
oct1724360175050
9416604668843
10131596352040
115089a78a03a
12216074283a0
13c54283103a
1465254d0356
153653091ab0
hex1ea3c0fa28

131596352040 has 128 divisors (see below), whose sum is σ = 404424345600. Its totient is φ = 34237728000.

The previous prime is 131596352009. The next prime is 131596352051. The reversal of 131596352040 is 40253695131.

131596352040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1315963520402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131596352040.

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, 4728165 + ... + 4755915.

It is an arithmetic number, because the mean of its divisors is an integer number (3159565200).

Almost surely, 2131596352040 is an apocalyptic number.

131596352040 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 131596352040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202212172800).

131596352040 is an abundant number, since it is smaller than the sum of its proper divisors (272827993560).

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

131596352040 is a wasteful number, since it uses less digits than its factorization.

131596352040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28727 (or 28723 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

It can be divided in two parts, 131596 and 352040, that added together give a triangular number (483636 = T983).

The spelling of 131596352040 in words is "one hundred thirty-one billion, five hundred ninety-six million, three hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 919 1032 1290 1720 1838 2580 2757 3676 4595 5160 5514 7352 9190 11028 13785 18380 22056 27570 27751 36760 39517 55140 55502 79034 83253 110280 111004 118551 138755 158068 166506 197585 222008 237102 277510 316136 333012 395170 416265 474204 555020 592755 666024 790340 832530 948408 1110040 1185510 1193293 1580680 1665060 2371020 2386586 3330120 3579879 4742040 4773172 5966465 7159758 9546344 11932930 14319516 17899395 23865860 25503169 28639032 35798790 47731720 51006338 71597580 76509507 102012676 127515845 143195160 153019014 204025352 255031690 306038028 382547535 510063380 612076056 765095070 1020126760 1096636267 1530190140 2193272534 3060380280 3289908801 4386545068 5483181335 6579817602 8773090136 10966362670 13159635204 16449544005 21932725340 26319270408 32899088010 43865450680 65798176020 131596352040