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14254211466 = 23311149316073
BaseRepresentation
bin11010100011001111…
…00000000110001010
31100210101210222011000
431101213200012022
5213143034231331
610314233115430
71013142540555
oct152147400612
940711728130
1014254211466
116055149060
122919858b76
131462197471
1499316b69c
155865ea0e6
hex3519e018a

14254211466 has 64 divisors (see below), whose sum is σ = 34580960640. Its totient is φ = 4316296320.

The previous prime is 14254211453. The next prime is 14254211467. The reversal of 14254211466 is 66411245241.

14254211466 is a `hidden beast` number, since 1 + 42 + 542 + 1 + 14 + 66 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14254211466.

It is not an unprimeable number, because it can be changed into a prime (14254211467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 878806 + ... + 894878.

It is an arithmetic number, because the mean of its divisors is an integer number (540327510).

Almost surely, 214254211466 is an apocalyptic number.

14254211466 is an abundant number, since it is smaller than the sum of its proper divisors (20326749174).

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

14254211466 is a wasteful number, since it uses less digits than its factorization.

14254211466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17588 (or 17582 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 14254211466 in words is "fourteen billion, two hundred fifty-four million, two hundred eleven thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1493 2986 4479 8958 13437 16073 16423 26874 32146 32846 40311 48219 49269 80622 96438 98538 144657 147807 176803 289314 295614 353606 433971 443421 530409 867942 886842 1060818 1591227 3182454 4773681 9547362 23996989 47993978 71990967 143981934 215972901 263966879 431945802 527933758 647918703 791900637 1295837406 1583801274 2375701911 4751403822 7127105733 14254211466