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13331251344 = 243616417103
BaseRepresentation
bin11000110101001101…
…01100000010010000
31021102002002201212210
430122212230002100
5204300300020334
610042502552120
7651234523665
oct143246540220
937362081783
1013331251344
1157211644a4
122700738640
131345bc2208
14906755a6c
155305855e9
hex31a9ac090

13331251344 has 80 divisors (see below), whose sum is σ = 35063184384. Its totient is φ = 4363468800.

The previous prime is 13331251331. The next prime is 13331251361. The reversal of 13331251344 is 44315213331.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 1873297 + ... + 1880399.

Almost surely, 213331251344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331251344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17531592192).

13331251344 is an abundant number, since it is smaller than the sum of its proper divisors (21731933040).

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

13331251344 is a wasteful number, since it uses less digits than its factorization.

13331251344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7816 (or 7810 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

Adding to 13331251344 its reverse (44315213331), we get a palindrome (57646464675).

The spelling of 13331251344 in words is "thirteen billion, three hundred thirty-one million, two hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 641 732 976 1282 1464 1923 2564 2928 3846 5128 7103 7692 10256 14206 15384 21309 28412 30768 39101 42618 56824 78202 85236 113648 117303 156404 170472 234606 312808 340944 433283 469212 625616 866566 938424 1299849 1733132 1876848 2599698 3466264 4553023 5199396 6932528 9106046 10398792 13659069 18212092 20797584 27318138 36424184 54636276 72848368 109272552 218545104 277734403 555468806 833203209 1110937612 1666406418 2221875224 3332812836 4443750448 6665625672 13331251344