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13343444424 = 2332414520137
BaseRepresentation
bin11000110110101010…
…01100110111001000
31021102221001012122100
430123111030313020
5204311410210144
610044020153400
7651443256222
oct143325146710
937387035570
1013343444424
115728032322
122704838860
1313485a105b
1490820b412
15531693269
hex31b54cdc8

13343444424 has 48 divisors (see below), whose sum is σ = 37019930220. Its totient is φ = 4339330560.

The previous prime is 13343444419. The next prime is 13343444437. The reversal of 13343444424 is 42444434331.

13343444424 is a `hidden beast` number, since 133 + 43 + 44 + 442 + 4 = 666.

13343444424 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 2 ways, for example, as 11724991524 + 1618452900 = 108282^2 + 40230^2 .

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 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 11 ways as a sum of consecutive naturals, for example, 2257117 + ... + 2263020.

Almost surely, 213343444424 is an apocalyptic number.

It is an amenable number.

13343444424 is an abundant number, since it is smaller than the sum of its proper divisors (23676485796).

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

13343444424 is a wasteful number, since it uses less digits than its factorization.

13343444424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520190 (or 4520183 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 13343444424 its reverse (42444434331), we get a palindrome (55787878755).

The spelling of 13343444424 in words is "thirteen billion, three hundred forty-three million, four hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 4520137 9040274 13560411 18080548 27120822 36161096 40681233 54241644 81362466 108483288 162724932 185325617 325449864 370651234 555976851 741302468 1111953702 1482604936 1667930553 2223907404 3335861106 4447814808 6671722212 13343444424