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14006600352 = 253423234947
BaseRepresentation
bin11010000101101101…
…11100001010100000
31100011010220000120000
431002312330022200
5212141142202402
610233510020000
71004045065353
oct150266741240
940133800500
1014006600352
115a383a7178
12286a947600
131422ab0204
1496c31429a
1556e9d8c1c
hex342dbc2a0

14006600352 has 120 divisors (see below), whose sum is σ = 42984206496. Its totient is φ = 4465853568.

The previous prime is 14006600287. The next prime is 14006600353. The reversal of 14006600352 is 25300660041.

14006600352 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 6 + 600 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14006600353) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57858 + ... + 177089.

Almost surely, 214006600352 is an apocalyptic number.

14006600352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14006600352 is an abundant number, since it is smaller than the sum of its proper divisors (28977606144).

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

14006600352 is a wasteful number, since it uses less digits than its factorization.

14006600352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234992 (or 234975 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 14006600352 in words is "fourteen billion, six million, six hundred thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 2208 2484 2592 3312 3726 4968 6624 7452 9936 14904 19872 29808 59616 234947 469894 704841 939788 1409682 1879576 2114523 2819364 3759152 4229046 5403781 5638728 6343569 7518304 8458092 10807562 11277456 12687138 16211343 16916184 19030707 21615124 22554912 25374276 32422686 33832368 38061414 43230248 48634029 50748552 64845372 67664736 76122828 86460496 97268058 101497104 129690744 145902087 152245656 172920992 194536116 202994208 259381488 291804174 304491312 389072232 437706261 518762976 583608348 608982624 778144464 875412522 1167216696 1556288928 1750825044 2334433392 3501650088 4668866784 7003300176 14006600352