Search a number
-
+
131341055073156 = 22341731775222421
BaseRepresentation
bin11101110111010000111000…
…111011101001101110000100
3122020001002012221201112210000
4131313100320323221232010
5114203342440044320111
61143201125302201300
736444035532562035
oct3567207073515604
9566032187645700
10131341055073156
1138938479597545
1212892939723230
1358395401b2606
142460d260baa8c
15102b737914c56
hex777438ee9b84

131341055073156 has 120 divisors (see below), whose sum is σ = 364695452568216. Its totient is φ = 41075051996160.

The previous prime is 131341055073133. The next prime is 131341055073197. The reversal of 131341055073156 is 651370550143131.

131341055073156 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 10 + 550 + 7 + 31 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22086089773056 + 109254965300100 = 4699584^2 + 10452510^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35865175 + ... + 39357246.

Almost surely, 2131341055073156 is an apocalyptic number.

It is an amenable number.

131341055073156 is an abundant number, since it is smaller than the sum of its proper divisors (233354397495060).

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

131341055073156 is a wasteful number, since it uses less digits than its factorization.

131341055073156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75222771 (or 75222760 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 131341055073156 in words is "one hundred thirty-one trillion, three hundred forty-one billion, fifty-five million, seventy-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 317 324 459 612 634 918 951 1268 1377 1836 1902 2754 2853 3804 5389 5508 5706 8559 10778 11412 16167 17118 21556 25677 32334 34236 48501 51354 64668 97002 102708 145503 194004 291006 436509 582012 873018 1746036 75222421 150444842 225667263 300889684 451334526 677001789 902669052 1278781157 1354003578 2031005367 2557562314 2708007156 3836343471 4062010734 5115124628 6093016101 7672686942 8124021468 11509030413 12186032202 15345373884 23018060826 23845507457 24372064404 34527091239 46036121652 47691014914 69054182478 71536522371 95382029828 103581273717 138108364956 143073044742 207162547434 214609567113 286146089484 405373626769 414325094868 429219134226 643828701339 810747253538 858438268452 1216120880307 1287657402678 1621494507076 1931486104017 2432241760614 2575314805356 3648362640921 3862972208034 4864483521228 7296725281842 7725944416068 10945087922763 14593450563684 21890175845526 32835263768289 43780351691052 65670527536578 131341055073156