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13344411330 = 2325439733721
BaseRepresentation
bin11000110110110001…
…11000111011000010
31021102222212022222200
430123120320323002
5204312132130310
610044053014030
7651454424205
oct143330707302
937388768880
1013344411330
115728632818
122705024316
13134884c1a3
149083bd93c
155317d49c0
hex31b638ec2

13344411330 has 48 divisors (see below), whose sum is σ = 34704389304. Its totient is φ = 3557594880.

The previous prime is 13344411299. The next prime is 13344411349. The reversal of 13344411330 is 3311444331.

13344411330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6566347089 + 6778064241 = 81033^2 + 82329^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13344411294 and 13344411303.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 378870 + ... + 412590.

Almost surely, 213344411330 is an apocalyptic number.

13344411330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13344411330 is an abundant number, since it is smaller than the sum of its proper divisors (21359977974).

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

13344411330 is a wasteful number, since it uses less digits than its factorization.

13344411330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38131 (or 38128 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13344411330 its reverse (3311444331), we get a palindrome (16655855661).

The spelling of 13344411330 in words is "thirteen billion, three hundred forty-four million, four hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 4397 8794 13191 21985 26382 33721 39573 43970 65955 67442 79146 101163 131910 168605 197865 202326 303489 337210 395730 505815 606978 1011630 1517445 3034890 148271237 296542474 444813711 741356185 889627422 1334441133 1482712370 2224068555 2668882266 4448137110 6672205665 13344411330