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14333444433341 = 116192447860267
BaseRepresentation
bin1101000010010100001111…
…0111010010010110111101
31212202021010101110020010222
43100211003313102112331
53334314343233331331
650252405442311125
73006362054310455
oct320450367222675
955667111406128
1014333444433341
11462686378a740
121735b016584a5
137cc83a92a187
14377a57270d65
1519cca47b8b7b
hexd0943dd25bd

14333444433341 has 16 divisors (see below), whose sum is σ = 15668164316160. Its totient is φ = 13004021730480.

The previous prime is 14333444433311. The next prime is 14333444433391.

14333444433341 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-14333444433341 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14333444433292 and 14333444433301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14333444433311) 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, 16231490 + ... + 17091756.

It is an arithmetic number, because the mean of its divisors is an integer number (979260269760).

Almost surely, 214333444433341 is an apocalyptic number.

14333444433341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14333444433341 is a deficient number, since it is larger than the sum of its proper divisors (1334719882819).

14333444433341 is a wasteful number, since it uses less digits than its factorization.

14333444433341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863344.

The product of its digits is 2985984, while the sum is 44.

It can be divided in two parts, 1433344 and 4433341, that added together give a palindrome (5866685).

The spelling of 14333444433341 in words is "fourteen trillion, three hundred thirty-three billion, four hundred forty-four million, four hundred thirty-three thousand, three hundred forty-one".

Divisors: 1 11 619 2447 6809 26917 860267 1514693 9462937 16661623 532505273 2105073349 5857558003 23155806839 1303040403031 14333444433341