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14463344336441 = 7111381611770481
BaseRepresentation
bin1101001001111000001010…
…0000000101111000111001
31220012200102100001000122012
43102132002200011320321
53343431412122231231
650432211344135305
73021641104260230
oct322360240057071
956180370030565
1014463344336441
114676962901560
121757114907535
1380bb6cb56070
1438005b321b17
151a1358958e2b
hexd2782805e39

14463344336441 has 32 divisors (see below), whose sum is σ = 19421705968896. Its totient is φ = 10401924096000.

The previous prime is 14463344336411. The next prime is 14463344336459.

14463344336441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14463344336441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14463344336441.

It is not an unprimeable number, because it can be changed into a prime (14463344336411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7283921 + ... + 9054401.

It is an arithmetic number, because the mean of its divisors is an integer number (606928311528).

Almost surely, 214463344336441 is an apocalyptic number.

14463344336441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14463344336441 is a deficient number, since it is larger than the sum of its proper divisors (4958361632455).

14463344336441 is a wasteful number, since it uses less digits than its factorization.

14463344336441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778673.

The product of its digits is 11943936, while the sum is 50.

The spelling of 14463344336441 in words is "fourteen trillion, four hundred sixty-three billion, three hundred forty-four million, three hundred thirty-six thousand, four hundred forty-one".

Divisors: 1 7 11 13 77 91 143 1001 8161 57127 89771 106093 628397 742651 1167023 1770481 8169161 12393367 19475291 23016253 136327037 161113771 253178783 1772251481 14448895441 101142268087 158937849851 187835640733 1112564948957 1314849485131 2066192048063 14463344336441