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13356122444 = 2274118476299
BaseRepresentation
bin11000111000001011…
…00100000101001100
31021110210220022121122
430130011210011030
5204323131404234
610045152020112
7651656111330
oct143405440514
937423808548
1013356122444
115734201525
122708b31638
13134b0bc842
14909b8b7c0
1553284992e
hex31c16414c

13356122444 has 48 divisors (see below), whose sum is σ = 27382924800. Its totient is φ = 5580531840.

The previous prime is 13356122443. The next prime is 13356122459. The reversal of 13356122444 is 44422165331.

It is not an unprimeable number, because it can be changed into a prime (13356122443) by changing a digit.

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, 2117207 + ... + 2123505.

It is an arithmetic number, because the mean of its divisors is an integer number (570477600).

Almost surely, 213356122444 is an apocalyptic number.

13356122444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13356122444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13691462400).

13356122444 is an abundant number, since it is smaller than the sum of its proper divisors (14026802356).

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

13356122444 is a wasteful number, since it uses less digits than its factorization.

13356122444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8198 (or 8196 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

Adding to 13356122444 its reverse (44422165331), we get a palindrome (57778287775).

The spelling of 13356122444 in words is "thirteen billion, three hundred fifty-six million, one hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 1148 1847 3694 6299 7388 12598 12929 25196 25858 44093 51716 75727 88186 151454 176372 258259 302908 516518 530089 1033036 1060178 1807813 2120356 3615626 7231252 11634253 23268506 46537012 81439771 162879542 325759084 477004373 954008746 1908017492 3339030611 6678061222 13356122444