Search a number
-
+
13131520514434 = 27171311732579473
BaseRepresentation
bin1011111100010110101110…
…0111011001100110000010
31201111100202020112220120201
42333011223213121212002
53210121323222430214
643532312013355414
72523502214464420
oct277055347314602
951440666486521
1013131520514434
114203056aa0923
121580b87798b6a
137433b288581a
143357d7414110
1517b8aac48274
hexbf16b9d9982

13131520514434 has 128 divisors (see below), whose sum is σ = 24252695419392. Its totient is φ = 5205047377920.

The previous prime is 13131520514363. The next prime is 13131520514471. The reversal of 13131520514434 is 43441502513131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13131520514393 and 13131520514402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1386200322 + ... + 1386209794.

It is an arithmetic number, because the mean of its divisors is an integer number (189474182964).

Almost surely, 213131520514434 is an apocalyptic number.

13131520514434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13131520514434 is a deficient number, since it is larger than the sum of its proper divisors (11121174904958).

13131520514434 is a wasteful number, since it uses less digits than its factorization.

13131520514434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10060.

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 13131520514434 in words is "thirteen trillion, one hundred thirty-one billion, five hundred twenty million, five hundred fourteen thousand, four hundred thirty-four".

Divisors: 1 2 7 14 17 34 119 131 173 238 257 262 346 514 917 1211 1799 1834 2227 2422 2941 3598 4369 4454 5882 8738 9473 15589 18946 20587 22663 30583 31178 33667 41174 44461 45326 61166 66311 67334 88922 132622 158641 161041 235669 311227 317282 322082 385271 471338 572339 622454 755837 770542 1127287 1144678 1240963 1511674 1638829 2254574 2434561 2481926 2696897 3277658 4006373 4869122 5290859 5393794 5824391 8012746 8686741 10581718 11471803 11648782 17041927 17373482 21096371 22943606 27860093 34083854 40770737 41387537 42192742 55720186 81541474 82775074 99014647 147674597 195020651 198029294 214686599 289712759 295349194 318927491 390041302 421179053 429373198 579425518 637854982 693102529 842358106 1386205058 1502806193 2232492437 2948253371 3005612386 3649672183 4464984874 5421767347 5896506742 7160043901 7299344366 10843534694 14320087802 25547705281 37952371429 50120307307 51095410562 55174455943 75904742858 100240614614 110348911886 386221191601 772442383202 937965751031 1875931502062 6565760257217 13131520514434