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42398530944 = 2737111784349
BaseRepresentation
bin100111011111001001…
…100011110110000000
311001102211022112101220
4213133021203312000
51143313010442234
631251055355040
73030450365250
oct473711436600
9131384275356
1042398530944
1116a87957920
128273222a80
133cc8c75643
1420a2d67960
15118236ca49
hex9df263d80

42398530944 has 256 divisors, whose sum is σ = 148671936000. Its totient is φ = 10364682240.

The previous prime is 42398530943. The next prime is 42398531011. The reversal of 42398530944 is 44903589324.

42398530944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×423985309442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42398530943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460482 + ... + 544830.

It is an arithmetic number, because the mean of its divisors is an integer number (580749750).

Almost surely, 242398530944 is an apocalyptic number.

42398530944 is a gapful number since it is divisible by the number (44) 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 42398530944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74335968000).

42398530944 is an abundant number, since it is smaller than the sum of its proper divisors (106273405056).

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

42398530944 is a wasteful number, since it uses less digits than its factorization.

42398530944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84401 (or 84389 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 42398530944 in words is "forty-two billion, three hundred ninety-eight million, five hundred thirty thousand, nine hundred forty-four".