Search a number
-
+
30442944636 = 223313196717033
BaseRepresentation
bin11100010110100010…
…100111100001111100
32220120121202211012000
4130112202213201330
5444321343212021
621552453542300
72125255521426
oct342642474174
986517684160
1030442944636
1111a02280985
125a97344990
132b42091610
14168b1cb816
15bd2971b26
hex7168a787c

30442944636 has 192 divisors, whose sum is σ = 90811660800. Its totient is φ = 8741094912.

The previous prime is 30442944611. The next prime is 30442944641. The reversal of 30442944636 is 63644924403.

It is a happy number.

30442944636 is a `hidden beast` number, since 3 + 0 + 4 + 4 + 2 + 9 + 4 + 4 + 636 = 666.

It is a super-2 number, since 2×304429446362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30442944591 and 30442944600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1778776 + ... + 1795808.

It is an arithmetic number, because the mean of its divisors is an integer number (472977400).

Almost surely, 230442944636 is an apocalyptic number.

30442944636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30442944636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45405830400).

30442944636 is an abundant number, since it is smaller than the sum of its proper divisors (60368716164).

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

30442944636 is a wasteful number, since it uses less digits than its factorization.

30442944636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17145 (or 17137 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 30442944636 in words is "thirty billion, four hundred forty-two million, nine hundred forty-four thousand, six hundred thirty-six".