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14004677127 = 376319531109
BaseRepresentation
bin11010000101011111…
…00110101000000111
31100011000021022101110
431002233212220013
5212140144132002
610233400500103
71004022535320
oct150257465007
940130238343
1014004677127
115a37303231
12286a17a633
1314225889cc
1496bd73447
1556e758e6c
hex342be6a07

14004677127 has 32 divisors (see below), whose sum is σ = 21416002560. Its totient is φ = 7974408960.

The previous prime is 14004677107. The next prime is 14004677153. The reversal of 14004677127 is 72177640041.

14004677127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14004677127 - 27 = 14004676999 is a prime.

It is a super-2 number, since 2×140046771272 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004677107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12627649 + ... + 12628757.

It is an arithmetic number, because the mean of its divisors is an integer number (669250080).

Almost surely, 214004677127 is an apocalyptic number.

14004677127 is a deficient number, since it is larger than the sum of its proper divisors (7411325433).

14004677127 is a wasteful number, since it uses less digits than its factorization.

14004677127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703.

The product of its (nonzero) digits is 65856, while the sum is 39.

The spelling of 14004677127 in words is "fourteen billion, four million, six hundred seventy-seven thousand, one hundred twenty-seven".

Divisors: 1 3 7 21 631 953 1109 1893 2859 3327 4417 6671 7763 13251 20013 23289 601343 699779 1056877 1804029 2099337 3170631 4209401 4898453 7398139 12628203 14695359 22194417 666889387 2000668161 4668225709 14004677127