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13344844331 = 7131743832417
BaseRepresentation
bin11000110110110101…
…00010101000101011
31021110000200022221202
430123122202220223
5204312240004311
610044110154415
7651461206460
oct143332425053
937400608852
1013344844331
1157288a9075
1227051b2a0b
1313489712c0
14908493667
1553186ce3b
hex31b6a2a2b

13344844331 has 64 divisors (see below), whose sum is σ = 18016846848. Its totient is φ = 9585451008.

The previous prime is 13344844321. The next prime is 13344844333.

13344844331 is nontrivially palindromic in base 10.

13344844331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13344844331 - 26 = 13344844267 is a prime.

It is a super-2 number, since 2×133448443312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13344844333) 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 63 ways as a sum of consecutive naturals, for example, 5520035 + ... + 5522451.

It is an arithmetic number, because the mean of its divisors is an integer number (281513232).

Almost surely, 213344844331 is an apocalyptic number.

13344844331 is a deficient number, since it is larger than the sum of its proper divisors (4672002517).

13344844331 is a wasteful number, since it uses less digits than its factorization.

13344844331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580.

The product of its digits is 165888, while the sum is 38.

The spelling of 13344844331 in words is "thirteen billion, three hundred forty-four million, eight hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 7 13 17 43 83 91 119 221 301 559 581 731 1079 1411 1547 2417 3569 3913 5117 7553 9503 9877 16919 18343 24983 31421 41089 46397 60673 66521 103931 128401 200611 219947 287623 324779 424711 534157 727517 788749 1351103 1404277 1766827 2607943 3410387 3739099 5521243 8626273 9457721 12367789 18255601 22968751 23872709 44335031 60383911 112141549 146646641 160781257 310345217 784990843 1026526487 1906406333 13344844331