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14057580492 = 223210319919051
BaseRepresentation
bin11010001011110010…
…11010011111001100
31100021200211002011100
431011321122133030
5212242220033432
610242530423100
71005234314454
oct150571323714
940250732140
1014057580492
115a6415731a
122883a31a90
13143051c787
14974dc4d64
1557420907c
hex345e5a7cc

14057580492 has 72 divisors (see below), whose sum is σ = 36061625600. Its totient is φ = 4616805600.

The previous prime is 14057580491. The next prime is 14057580539. The reversal of 14057580492 is 29408575041.

14057580492 is a `hidden beast` number, since 14 + 0 + 5 + 75 + 80 + 492 = 666.

It is a super-3 number, since 3×140575804923 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14057580491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728367 + ... + 747417.

Almost surely, 214057580492 is an apocalyptic number.

14057580492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14057580492 is an abundant number, since it is smaller than the sum of its proper divisors (22004045108).

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

14057580492 is a wasteful number, since it uses less digits than its factorization.

14057580492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19363 (or 19358 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 14057580492 in words is "fourteen billion, fifty-seven million, five hundred eighty thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 103 199 206 309 398 412 597 618 796 927 1194 1236 1791 1854 2388 3582 3708 7164 19051 20497 38102 40994 57153 61491 76204 81988 114306 122982 171459 184473 228612 245964 342918 368946 685836 737892 1962253 3791149 3924506 5886759 7582298 7849012 11373447 11773518 15164596 17660277 22746894 23547036 34120341 35320554 45493788 68240682 70641108 136481364 390488347 780976694 1171465041 1561953388 2342930082 3514395123 4685860164 7028790246 14057580492