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14344111144341 = 3211532733773803
BaseRepresentation
bin1101000010111011111110…
…1001100011110110010101
31212210021122202202021211100
43100232333221203312111
53340003214423104331
650301332123100313
73010220305666326
oct320567751436625
955707582667740
1014344111144341
114630337877580
121737b99971699
1380084a79c9a4
14378389b8444d
1519d1cae70ae6
hexd0bbfa63d95

14344111144341 has 24 divisors (see below), whose sum is σ = 23029310524896. Its totient is φ = 8529374262240.

The previous prime is 14344111144283. The next prime is 14344111144357.

14344111144341 is a `hidden beast` number, since 1 + 43 + 441 + 1 + 1 + 144 + 34 + 1 = 666.

14344111144341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14344111144341 - 210 = 14344111143317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14344111144296 and 14344111144305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14344111144361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1366881655 + ... + 1366892148.

It is an arithmetic number, because the mean of its divisors is an integer number (959554605204).

Almost surely, 214344111144341 is an apocalyptic number.

14344111144341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14344111144341 is a deficient number, since it is larger than the sum of its proper divisors (8685199380555).

14344111144341 is a wasteful number, since it uses less digits than its factorization.

14344111144341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733773873 (or 2733773870 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

It can be divided in two parts, 1434411 and 1144341, that added together give a palindrome (2578752).

The spelling of 14344111144341 in words is "fourteen trillion, three hundred forty-four billion, one hundred eleven million, one hundred forty-four thousand, three hundred forty-one".

Divisors: 1 3 9 11 33 53 99 159 477 583 1749 5247 2733773803 8201321409 24603964227 30071511833 90214535499 144890011559 270643606497 434670034677 1304010104031 1593790127149 4781370381447 14344111144341