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14644056046401 = 331721876721267
BaseRepresentation
bin1101010100011001010111…
…0000100011101101000001
31220211221212110000001102000
43111012111300203231001
53404412011321441101
651051215251214213
73040666234412415
oct325062560435501
956757773001360
1014644056046401
114736566960991
1217861488a7369
13822c0c079962
14388ac1862d45
151a5dd3899486
hexd5195c23b41

14644056046401 has 24 divisors (see below), whose sum is σ = 23046137171040. Its totient is φ = 9188427318336.

The previous prime is 14644056046397. The next prime is 14644056046427. The reversal of 14644056046401 is 10464065044641.

14644056046401 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 4 + 0 + 560 + 46 + 40 + 1 = 666.

It is not a de Polignac number, because 14644056046401 - 22 = 14644056046397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14644056046441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 938352831 + ... + 938368436.

It is an arithmetic number, because the mean of its divisors is an integer number (960255715460).

Almost surely, 214644056046401 is an apocalyptic number.

It is an amenable number.

14644056046401 is a deficient number, since it is larger than the sum of its proper divisors (8402081124639).

14644056046401 is a wasteful number, since it uses less digits than its factorization.

14644056046401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876721310 (or 1876721287 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 14644056046401 in words is "fourteen trillion, six hundred forty-four billion, fifty-six million, forty-six thousand, four hundred one".

Divisors: 1 3 9 17 27 51 153 289 459 867 2601 7803 1876721267 5630163801 16890491403 31904261539 50671474209 95712784617 287138353851 542372446163 861415061553 1627117338489 4881352015467 14644056046401