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42440130216 = 2332111719165901
BaseRepresentation
bin100111100001101000…
…001111111010101000
311001112201120222212200
4213201220033322220
51143404133131331
631255143140200
73031464104031
oct474150177250
9131481528780
1042440130216
1116aa938aa90
128285144660
13400477c0b3
1420a86b5a88
151185d385e6
hex9e1a0fea8

42440130216 has 192 divisors, whose sum is σ = 139755844800. Its totient is φ = 11467008000.

The previous prime is 42440130203. The next prime is 42440130221. The reversal of 42440130216 is 61203104424.

It is a happy number.

42440130216 is a `hidden beast` number, since 4 + 2 + 440 + 1 + 3 + 0 + 216 = 666.

42440130216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42440130216.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172866 + ... + 338766.

It is an arithmetic number, because the mean of its divisors is an integer number (727895025).

Almost surely, 242440130216 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 42440130216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69877922400).

42440130216 is an abundant number, since it is smaller than the sum of its proper divisors (97315714584).

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

42440130216 is a wasteful number, since it uses less digits than its factorization.

42440130216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165960 (or 165953 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 42440130216 in words is "forty-two billion, four hundred forty million, one hundred thirty thousand, two hundred sixteen".