Search a number
-
+
232040410251936 = 2531113312687202921
BaseRepresentation
bin110100110000101000011110…
…001110100000001010100000
31010102120211212011012011101020
4310300220132032200022200
5220403222230011030221
62141301520505405440
766606236452003506
oct6460503616401240
91112524764164336
10232040410251936
1167a31870340610
1222036b9ba99880
139c62417005770
144142b5c700676
151bc5d84868ac6
hexd30a1e3a02a0

232040410251936 has 384 divisors, whose sum is σ = 738955352604672. Its totient is φ = 62788967424000.

The previous prime is 232040410251929. The next prime is 232040410251943. The reversal of 232040410251936 is 639152014040232.

It is an interprime number because it is at equal distance from previous prime (232040410251929) and next prime (232040410251943).

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, 1143399756 + ... + 1143602676.

It is an arithmetic number, because the mean of its divisors is an integer number (1924362897408).

Almost surely, 2232040410251936 is an apocalyptic number.

232040410251936 is a gapful number since it is divisible by the number (26) 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 232040410251936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369477676302336).

232040410251936 is an abundant number, since it is smaller than the sum of its proper divisors (506914942352736).

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

232040410251936 is a wasteful number, since it uses less digits than its factorization.

232040410251936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205676 (or 205668 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 232040410251936 in words is "two hundred thirty-two trillion, forty billion, four hundred ten million, two hundred fifty-one thousand, nine hundred thirty-six".