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13344411344 = 241175820519
BaseRepresentation
bin11000110110110001…
…11000111011010000
31021102222212100000012
430123120320323100
5204312132130334
610044053014052
7651454424225
oct143330707320
937388770005
1013344411344
115728632830
122705024328
13134884c1b4
149083bd94c
155317d49ce
hex31b638ed0

13344411344 has 20 divisors (see below), whose sum is σ = 28205233440. Its totient is φ = 6065641440.

The previous prime is 13344411299. The next prime is 13344411349. The reversal of 13344411344 is 44311444331.

13344411344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13344411344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13344411349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37910084 + ... + 37910435.

It is an arithmetic number, because the mean of its divisors is an integer number (1410261672).

Almost surely, 213344411344 is an apocalyptic number.

It is an amenable number.

13344411344 is an abundant number, since it is smaller than the sum of its proper divisors (14860822096).

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

13344411344 is a wasteful number, since it uses less digits than its factorization.

13344411344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75820538 (or 75820532 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 13344411344 its reverse (44311444331), we get a palindrome (57655855675).

The spelling of 13344411344 in words is "thirteen billion, three hundred forty-four million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 75820519 151641038 303282076 606564152 834025709 1213128304 1668051418 3336102836 6672205672 13344411344