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14321044012341 = 3111058940983193
BaseRepresentation
bin1101000001100110000010…
…1111011011110100110101
31212201002010011212120110010
43100121200233123310311
53334113444231343331
650242555150250433
73005442551416533
oct320314057336465
955632104776403
1014321044012341
11462157aaa5920
1217336207b6a19
137cb612837561
143771dc3bd153
1519c7caceee46
hexd0660bdbd35

14321044012341 has 16 divisors (see below), whose sum is σ = 20832577174080. Its totient is φ = 8678600737920.

The previous prime is 14321044012313. The next prime is 14321044012343.

It is a happy number.

14321044012341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14321044012341 - 213 = 14321044004149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14321044012299 and 14321044012308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14321044012343) 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, 20142160 + ... + 20841033.

It is an arithmetic number, because the mean of its divisors is an integer number (1302036073380).

Almost surely, 214321044012341 is an apocalyptic number.

14321044012341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14321044012341 is a deficient number, since it is larger than the sum of its proper divisors (6511533161739).

14321044012341 is a wasteful number, since it uses less digits than its factorization.

14321044012341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40993796.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 1432104 and 4012341, that added together give a palindrome (5444445).

The spelling of 14321044012341 in words is "fourteen trillion, three hundred twenty-one billion, forty-four million, twelve thousand, three hundred forty-one".

Divisors: 1 3 11 33 10589 31767 116479 349437 40983193 122949579 450815123 1352445369 433971030677 1301913092031 4773681337447 14321044012341