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232232012310144 = 27372112933829433
BaseRepresentation
bin110100110011011010111010…
…100110010110011010000000
31010110021011102020021012110110
4310303122322212112122000
5220414342130122411034
62141525525202431320
766626131520430300
oct6463327246263200
91113234366235413
10232232012310144
1167aa6052744850
1222068153062540
139c77500510cc2
14414c13732b600
151bcad4a8d8de9
hexd336ba996680

232232012310144 has 384 divisors, whose sum is σ = 785485536857280. Its totient is φ = 60114117181440.

The previous prime is 232232012310091. The next prime is 232232012310163. The reversal of 232232012310144 is 441013210232232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58729252 + ... + 62558684.

Almost surely, 2232232012310144 is an apocalyptic number.

232232012310144 is a gapful number since it is divisible by the number (24) 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 232232012310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392742768428640).

232232012310144 is an abundant number, since it is smaller than the sum of its proper divisors (553253524547136).

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

232232012310144 is a wasteful number, since it uses less digits than its factorization.

232232012310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829768 (or 3829749 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 232232012310144 its reverse (441013210232232), we get a palindrome (673245222542376).

The spelling of 232232012310144 in words is "two hundred thirty-two trillion, two hundred thirty-two billion, twelve million, three hundred ten thousand, one hundred forty-four".