Search a number
-
+
14134060512 = 25321113343193
BaseRepresentation
bin11010010100111010…
…01010010111100000
31100111000201200000200
431022131022113200
5212421304414022
610254301545200
71010153350335
oct151235122740
940430650020
1014134060512
115aa3343950
1228a5575200
131443319920
1498121298c
1557acb4bac
hex34a74a5e0

14134060512 has 144 divisors (see below), whose sum is σ = 47220748848. Its totient is φ = 3953571840.

The previous prime is 14134060469. The next prime is 14134060529. The reversal of 14134060512 is 21506043141.

It is a happy number.

14134060512 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 40 + 605 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 130413 + ... + 212780.

It is an arithmetic number, because the mean of its divisors is an integer number (327921867).

Almost surely, 214134060512 is an apocalyptic number.

14134060512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14134060512 is an abundant number, since it is smaller than the sum of its proper divisors (33086688336).

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

14134060512 is a wasteful number, since it uses less digits than its factorization.

14134060512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343233 (or 343222 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 14134060512 in words is "fourteen billion, one hundred thirty-four million, sixty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 343193 686386 1029579 1372772 2059158 2745544 3088737 3775123 4118316 4461509 5491088 6177474 7550246 8236632 8923018 10982176 11325369 12354948 13384527 15100492 16473264 17846036 22650738 24709896 26769054 30200984 32946528 33976107 35692072 40153581 45301476 49076599 49419792 53538108 60401968 67952214 71384144 80307162 90602952 98153198 98839584 107076216 120803936 135904428 142768288 147229797 160614324 181205904 196306396 214152432 271808856 294459594 321228648 362411808 392612792 428304864 441689391 543617712 588919188 642457296 785225584 883378782 1087235424 1177838376 1284914592 1570451168 1766757564 2355676752 3533515128 4711353504 7067030256 14134060512