Search a number
-
+
13424300032 = 212111324143
BaseRepresentation
bin11001000000010011…
…01001000000000000
31021122120012002200111
430200021221000000
5204443110100112
610100025201104
7653444444653
oct144011510000
937576162614
1013424300032
115769738340
122727930194
13135c270a00
14914c5789a
155388155a7
hex320269000

13424300032 has 312 divisors, whose sum is σ = 33240781728. Its totient is φ = 5367398400.

The previous prime is 13424300027. The next prime is 13424300059. The reversal of 13424300032 is 23000342431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13424299976 and 13424300012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312193003 + ... + 312193045.

Almost surely, 213424300032 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 13424300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16620390864).

13424300032 is an abundant number, since it is smaller than the sum of its proper divisors (19816481696).

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

13424300032 is a wasteful number, since it uses less digits than its factorization.

13424300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 13424300032 its reverse (23000342431), we get a palindrome (36424642463).

The spelling of 13424300032 in words is "thirteen billion, four hundred twenty-four million, three hundred thousand, thirty-two".