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14426333362441 = 7111369772065633
BaseRepresentation
bin1101000111101110010001…
…1110011011100100001001
31220002010212222100201222101
43101323210132123210021
53342330112320044231
650403211022353401
73016160663215030
oct321734436334411
956063788321871
1014426333362441
1146621a00a8a40
12174bb05a2b861
13808522115050
1437c349b01717
151a03de599661
hexd1ee479b909

14426333362441 has 32 divisors (see below), whose sum is σ = 19372408005888. Its totient is φ = 10375091159040.

The previous prime is 14426333362423. The next prime is 14426333362517.

14426333362441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14426333362441 - 25 = 14426333362409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14426333362391 and 14426333362400.

It is not an unprimeable number, because it can be changed into a prime (14426333366441) 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, 5951161 + ... + 8016793.

It is an arithmetic number, because the mean of its divisors is an integer number (605387750184).

Almost surely, 214426333362441 is an apocalyptic number.

14426333362441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14426333362441 is a deficient number, since it is larger than the sum of its proper divisors (4946074643447).

14426333362441 is a wasteful number, since it uses less digits than its factorization.

14426333362441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072641.

The product of its digits is 2985984, while the sum is 46.

The spelling of 14426333362441 in words is "fourteen trillion, four hundred twenty-six billion, three hundred thirty-three million, three hundred sixty-two thousand, four hundred forty-one".

Divisors: 1 7 11 13 77 91 143 1001 6977 48839 76747 90701 537229 634907 997711 2065633 6983977 14459431 22721963 26853229 159053741 187972603 295385519 2067698633 14411921441 100883450087 158531135851 187354978733 1109717950957 1311484851131 2060904766063 14426333362441