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13334322342 = 23114713193259
BaseRepresentation
bin11000110101100100…
…11001110010100110
31021102021212202111110
430122302121302212
5204302041303332
610043052445450
7651302604225
oct143262316246
937367782443
1013334322342
115722971810
122701779886
131346728c83
14906d14cbc
155309904cc
hex31ac99ca6

13334322342 has 64 divisors (see below), whose sum is σ = 29743718400. Its totient is φ = 3950520480.

The previous prime is 13334322319. The next prime is 13334322343. The reversal of 13334322342 is 24322343331.

13334322342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13334322343) 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 31 ways as a sum of consecutive naturals, for example, 4089909 + ... + 4093167.

It is an arithmetic number, because the mean of its divisors is an integer number (464745600).

Almost surely, 213334322342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13334322342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871859200).

13334322342 is an abundant number, since it is smaller than the sum of its proper divisors (16409396058).

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

13334322342 is a wasteful number, since it uses less digits than its factorization.

13334322342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641.

The product of its digits is 31104, while the sum is 30.

Adding to 13334322342 its reverse (24322343331), we get a palindrome (37656665673).

The spelling of 13334322342 in words is "thirteen billion, three hundred thirty-four million, three hundred twenty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 1034 1319 1551 2638 3102 3259 3957 6518 7914 9777 14509 19554 29018 35849 43527 61993 71698 87054 107547 123986 153173 185979 215094 306346 371958 459519 681923 919038 1363846 1684903 2045769 3369806 4091538 4298621 5054709 8597242 10109418 12895863 25791726 47284831 94569662 141854493 202035187 283708986 404070374 606105561 1212211122 2222387057 4444774114 6667161171 13334322342