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14335013024 = 254185312809
BaseRepresentation
bin11010101100110111…
…01111000010100000
31101000000212010001022
431112123233002200
5213324230404044
610330241025012
71015143412613
oct152633570240
941000763038
1014335013024
116096817502
122940925168
131475b48637
1499dba217a
1558d75b3ee
hex3566ef0a0

14335013024 has 48 divisors (see below), whose sum is σ = 28946552040. Its totient is φ = 6983946240.

The previous prime is 14335012957. The next prime is 14335013059. The reversal of 14335013024 is 42031053341.

14335013024 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 3664123024 + 10670890000 = 60532^2 + 103300^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14335012984 and 14335013002.

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 7 ways as a sum of consecutive naturals, for example, 1112732 + ... + 1125540.

Almost surely, 214335013024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14335013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14473276020).

14335013024 is an abundant number, since it is smaller than the sum of its proper divisors (14611539016).

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

14335013024 is a wasteful number, since it uses less digits than its factorization.

14335013024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13713 (or 13705 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 14335013024 its reverse (42031053341), we get a palindrome (56366066365).

The spelling of 14335013024 in words is "fourteen billion, three hundred thirty-five million, thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 853 1312 1706 3412 6824 12809 13648 25618 27296 34973 51236 69946 102472 139892 204944 279784 409888 525169 559568 1050338 1119136 2100676 4201352 8402704 10926077 16805408 21852154 43704308 87408616 174817232 349634464 447969157 895938314 1791876628 3583753256 7167506512 14335013024