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14244334104 = 233721113711193
BaseRepresentation
bin11010100010000011…
…10100101000011000
31100202201020010221210
431101001310220120
5213133022142404
610313241303120
71012662561600
oct152101645030
940681203853
1014244334104
11604a612050
122916494aa0
131460119680
14991b19c00
155857e8689
hex351074a18

14244334104 has 384 divisors, whose sum is σ = 49393774080. Its totient is φ = 3364300800.

The previous prime is 14244334063. The next prime is 14244334123. The reversal of 14244334104 is 40143344241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11939332 + ... + 11940524.

It is an arithmetic number, because the mean of its divisors is an integer number (128629620).

Almost surely, 214244334104 is an apocalyptic number.

14244334104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14244334104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24696887040).

14244334104 is an abundant number, since it is smaller than the sum of its proper divisors (35149439976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14244334104 is a wasteful number, since it uses less digits than its factorization.

14244334104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14244334104 its reverse (40143344241), we get a palindrome (54387678345).

The spelling of 14244334104 in words is "fourteen billion, two hundred forty-four million, three hundred thirty-four thousand, one hundred four".