Search a number
-
+
42335255513232 = 24341123294452241
BaseRepresentation
bin10011010000000111100011…
…10111011100100010010000
312112220012200202011112020000
421220003301313130202100
521022110100402410412
6230012314202250000
711626423045304133
oct1150036167344220
9175805622145200
1042335255513232
1112542310072050
1248b8a334b6900
131a81274aa4366
14a650744ca21a
154d63855ab4dc
hex2680f1ddc890

42335255513232 has 400 divisors, whose sum is σ = 144291108170880. Its totient is φ = 11847944908800.

The previous prime is 42335255513183. The next prime is 42335255513233. The reversal of 42335255513232 is 23231555253324.

42335255513232 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 52 + 55 + 513 + 2 + 32 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42335255513233) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7282632 + ... + 11734872.

Almost surely, 242335255513232 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 42335255513232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72145554085440).

42335255513232 is an abundant number, since it is smaller than the sum of its proper divisors (101955852657648).

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

42335255513232 is a wasteful number, since it uses less digits than its factorization.

42335255513232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452324 (or 4452309 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 45.

The spelling of 42335255513232 in words is "forty-two trillion, three hundred thirty-five billion, two hundred fifty-five million, five hundred thirteen thousand, two hundred thirty-two".