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13308391044 = 2234132172292
BaseRepresentation
bin11000110010011110…
…11110111010000100
31021100111002022110000
430121033132322010
5204223422003134
610040325001300
7650536312614
oct143117367204
937314068400
1013308391044
11570a270193
1226b4b53230
131341249c00
149036c4a44
1552d56be99
hex3193dee84

13308391044 has 405 divisors, whose sum is σ = 41446802397. Its totient is φ = 3721116672.

The previous prime is 13308391039. The next prime is 13308391051. The reversal of 13308391044 is 44019380331.

The square root of 13308391044 is 115362.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 7593031044 + 5715360000 = 87138^2 + 75600^2 .

It is a super-2 number, since 2×133083910442 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 458910022 + ... + 458910050.

Almost surely, 213308391044 is an apocalyptic number.

13308391044 is the 115362-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13308391044

13308391044 is an abundant number, since it is smaller than the sum of its proper divisors (28138411353).

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

13308391044 is a wasteful number, since it uses less digits than its factorization.

13308391044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 13308391044 by its sum of digits (36), we get a square (479102077584 = 6921722).

13308391044 divided by its sum of digits (36) gives a square (369677529 = 192272).

The spelling of 13308391044 in words is "thirteen billion, three hundred eight million, three hundred ninety-one thousand, forty-four".