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14364444446341 = 1117101760546643
BaseRepresentation
bin1101000100000111101110…
…0110111100111010000101
31212212020010211110001110121
43101001323212330322011
53340321340234240331
650314533520221541
73011540216133223
oct321017346747205
955766124401417
1014364444446341
114638a214562a0
12173bb1346a8b1
1380273b235332
1437935842bb13
1519d9bb0c7c11
hexd107b9bce85

14364444446341 has 16 divisors (see below), whose sum is σ = 16756363660608. Its totient is φ = 12168746272000.

The previous prime is 14364444446333. The next prime is 14364444446371.

14364444446341 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14364444446341 - 23 = 14364444446333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14364444446311) 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 15 ways as a sum of consecutive naturals, for example, 380254435 + ... + 380292208.

It is an arithmetic number, because the mean of its divisors is an integer number (1047272728788).

Almost surely, 214364444446341 is an apocalyptic number.

14364444446341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14364444446341 is a deficient number, since it is larger than the sum of its proper divisors (2391919214267).

14364444446341 is a wasteful number, since it uses less digits than its factorization.

14364444446341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760546772.

The product of its digits is 21233664, while the sum is 52.

The spelling of 14364444446341 in words is "fourteen trillion, three hundred sixty-four billion, four hundred forty-four million, four hundred forty-six thousand, three hundred forty-one".

Divisors: 1 11 17 101 187 1111 1717 18887 760546643 8366013073 12929292931 76815210943 142222222241 844967320373 1305858586031 14364444446341