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14466422466441 = 3311419116249387
BaseRepresentation
bin1101001010000011100111…
…1110001110011110001001
31220012222100212002020012000
43102200321332032132021
53344004213122411231
650433441023141213
73022110302040201
oct322407176163611
956188325066160
1014466422466441
1146781a2386150
121757833744809
1380c24079476a
14380270065401
151a1488cd26e6
hexd2839f8e789

14466422466441 has 32 divisors (see below), whose sum is σ = 23435876620800. Its totient is φ = 8746603802640.

The previous prime is 14466422466437. The next prime is 14466422466491.

14466422466441 is a `hidden beast` number, since 1 + 4 + 466 + 42 + 2 + 46 + 64 + 41 = 666.

14466422466441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14466422466441 - 22 = 14466422466437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14466422466401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58000251 + ... + 58249136.

It is an arithmetic number, because the mean of its divisors is an integer number (732371144400).

Almost surely, 214466422466441 is an apocalyptic number.

14466422466441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14466422466441 is a deficient number, since it is larger than the sum of its proper divisors (8969454154359).

14466422466441 is a wasteful number, since it uses less digits than its factorization.

14466422466441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116249826 (or 116249820 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 14466422466441 in words is "fourteen trillion, four hundred sixty-six billion, four hundred twenty-two million, four hundred sixty-six thousand, four hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 419 1257 3771 4609 11313 13827 41481 124443 116249387 348748161 1046244483 1278743257 3138733449 3836229771 11508689313 34526067939 48708493153 146125479459 438376438377 535793424683 1315129315131 1607380274049 4822140822147 14466422466441