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13321231441344 = 26342569681991
BaseRepresentation
bin1100000111011001011101…
…0001001001110111000000
31202011111102112010112020000
43001312113101021313000
53221223340222110334
644155404513120000
72543266350656661
oct301662721116700
952144375115200
1013321231441344
114276558957132
1215b18b1559000
13758257344168
14340a72c05368
151817b0c5d299
hexc1d97449dc0

13321231441344 has 70 divisors (see below), whose sum is σ = 39488303171064. Its totient is φ = 4440410478720.

The previous prime is 13321231441319. The next prime is 13321231441379. The reversal of 13321231441344 is 44314413212331.

13321231441344 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 231 + 4 + 413 + 4 + 4 = 666.

It is a super-2 number, since 2×133212314413442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13321231441299 and 13321231441308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1284835812 + ... + 1284846179.

Almost surely, 213321231441344 is an apocalyptic number.

It is an amenable number.

13321231441344 is an abundant number, since it is smaller than the sum of its proper divisors (26167071729720).

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

13321231441344 is an equidigital number, since it uses as much as digits as its factorization.

13321231441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569682015 (or 2569681996 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 13321231441344 its reverse (44314413212331), we get a palindrome (57635644653675).

The spelling of 13321231441344 in words is "thirteen trillion, three hundred twenty-one billion, two hundred thirty-one million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 2569681991 5139363982 7709045973 10278727964 15418091946 20557455928 23127137919 30836183892 41114911856 46254275838 61672367784 69381413757 82229823712 92508551676 123344735568 138762827514 164459647424 185017103352 208144241271 246689471136 277525655028 370034206704 416288482542 493378942272 555051310056 740068413408 832576965084 1110102620112 1480136826816 1665153930168 2220205240224 3330307860336 4440410480448 6660615720672 13321231441344