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14046405345 = 335729717219
BaseRepresentation
bin11010001010011101…
…10010001011100001
31100020220210022202000
431011032302023201
5212231334432340
610241451114213
71005040322040
oct150516621341
940226708660
1014046405345
115a58914265
122880142969
13142b10906b
14973716557
1557324cd30
hex3453b22e1

14046405345 has 128 divisors (see below), whose sum is σ = 29942784000. Its totient is φ = 6111624960.

The previous prime is 14046405337. The next prime is 14046405361. The reversal of 14046405345 is 54350464041.

14046405345 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 640 + 5 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 14046405345 - 23 = 14046405337 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1942146 + ... + 1949364.

It is an arithmetic number, because the mean of its divisors is an integer number (233928000).

Almost surely, 214046405345 is an apocalyptic number.

14046405345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14046405345 is an abundant number, since it is smaller than the sum of its proper divisors (15896378655).

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

14046405345 is a wasteful number, since it uses less digits than its factorization.

14046405345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7340 (or 7334 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 14046405345 its reverse (54350464041), we get a palindrome (68396869386).

The spelling of 14046405345 in words is "fourteen billion, forty-six million, four hundred five thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 63 71 87 105 135 145 189 203 213 261 315 355 435 497 609 639 783 945 1015 1065 1305 1491 1827 1917 2059 2485 3045 3195 3915 4473 5481 6177 7219 7455 9135 9585 10295 13419 14413 18531 21657 22365 27405 30885 36095 43239 50533 55593 64971 67095 72065 92655 108285 129717 151599 194913 209351 216195 252665 277965 324855 389151 454797 512549 628053 648585 757995 974565 1046755 1364391 1465457 1537647 1884159 1945755 2273985 2562745 3140265 3587843 4396371 4612941 5652477 6821955 7327285 7688235 9420795 10763529 13189113 13838823 14863921 17939215 21981855 23064705 28262385 32290587 39567339 44591763 53817645 65945565 69194115 74319605 96871761 104047447 133775289 161452935 197836695 222958815 312142341 401325867 484358805 520237235 668876445 936427023 1560711705 2006629335 2809281069 4682135115 14046405345