Search a number
-
+
13905200256120 = 2332597398201611
BaseRepresentation
bin1100101001011000111010…
…0001011001010001111000
31211020022202022110222211100
43022112032201121101320
53310310322231143440
645323543311331400
72633421553001445
oct312261641312170
954208668428740
1013905200256120
114481187044a18
121686b07520b60
1379b340919b44
1436102dd1a9cc
15191a8d4c5230
hexca58e859478

13905200256120 has 96 divisors (see below), whose sum is σ = 45657796831920. Its totient is φ = 3669826037760.

The previous prime is 13905200256113. The next prime is 13905200256133. The reversal of 13905200256120 is 2165200250931.

It is a happy number.

13905200256120 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 520 + 0 + 2 + 5 + 6 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199065886 + ... + 199135725.

Almost surely, 213905200256120 is an apocalyptic number.

13905200256120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13905200256120 is an abundant number, since it is smaller than the sum of its proper divisors (31752596575800).

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

13905200256120 is a wasteful number, since it uses less digits than its factorization.

13905200256120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398201725 (or 398201718 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 13905200256120 in words is "thirteen trillion, nine hundred five billion, two hundred million, two hundred fifty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 776 873 970 1164 1455 1746 1940 2328 2910 3492 3880 4365 5820 6984 8730 11640 17460 34920 398201611 796403222 1194604833 1592806444 1991008055 2389209666 3185612888 3583814499 3982016110 4778419332 5973024165 7167628998 7964032220 9556838664 11946048330 14335257996 15928064440 17919072495 23892096660 28670515992 35838144990 38625556267 47784193320 71676289980 77251112534 115876668801 143352579960 154502225068 193127781335 231753337602 309004450136 347630006403 386255562670 463506675204 579383344005 695260012806 772511125340 927013350408 1158766688010 1390520025612 1545022250680 1738150032015 2317533376020 2781040051224 3476300064030 4635066752040 6952600128060 13905200256120