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14255257997952 = 273231212876541
BaseRepresentation
bin1100111101110000111110…
…0101101101001010000000
31212110210022102212210002200
43033130033211231022000
53332024232021413302
650152435231513200
73000623403500316
oct317341745551200
955423272783080
1014255257997952
1145a6691562594
121722921088800
137c535a45461a
14373d5b3000b6
1519ac2a63281c
hexcf70f96d280

14255257997952 has 144 divisors (see below), whose sum is σ = 42386936572890. Its totient is φ = 4598469964800.

The previous prime is 14255257997947. The next prime is 14255257997987. The reversal of 14255257997952 is 25979975255241.

14255257997952 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 525 + 7 + 9 + 9 + 7 + 95 + 2 = 666.

14255257997952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11717914844736 + 2537343153216 = 3423144^2 + 1592904^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5331199 + ... + 7545342.

Almost surely, 214255257997952 is an apocalyptic number.

14255257997952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14255257997952 is an abundant number, since it is smaller than the sum of its proper divisors (28131678574938).

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

14255257997952 is a wasteful number, since it uses less digits than its factorization.

14255257997952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12876623 (or 12876577 counting only the distinct ones).

The product of its digits is 714420000, while the sum is 72.

The spelling of 14255257997952 in words is "fourteen trillion, two hundred fifty-five billion, two hundred fifty-seven million, nine hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 961 992 1116 1152 1488 1922 1984 2232 2883 2976 3844 3968 4464 5766 5952 7688 8649 8928 11532 11904 15376 17298 17856 23064 30752 34596 35712 46128 61504 69192 92256 123008 138384 184512 276768 369024 553536 1107072 12876541 25753082 38629623 51506164 77259246 103012328 115888869 154518492 206024656 231777738 309036984 399172771 412049312 463555476 618073968 798345542 824098624 927110952 1197518313 1236147936 1596691084 1648197248 1854221904 2395036626 2472295872 3193382168 3592554939 3708443808 4790073252 4944591744 6386764336 7185109878 7416887616 9580146504 12374355901 12773528672 14370219756 14833775232 19160293008 24748711802 25547057344 28740439512 37123067703 38320586016 49497423604 51094114688 57480879024 74246135406 76641172032 98994847208 111369203109 114961758048 148492270812 153282344064 197989694416 222738406218 229923516096 296984541624 395979388832 445476812436 459847032192 593969083248 791958777664 890953624872 1187938166496 1583917555328 1781907249744 2375876332992 3563814499488 4751752665984 7127628998976 14255257997952