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232314313443030 = 23257131723371960711
BaseRepresentation
bin110100110100100111100100…
…001000010000011011010110
31010110120000211221100221100100
4310310213210020100123112
5220422214203220134110
62142031420001354530
766635104153502160
oct6464474410203326
91113500757327310
10232314313443030
1168027a46576045
12220800a1638a46
139c821b82c67c0
14415210394b930
151bcd065deebc0
hexd349e42106d6

232314313443030 has 768 divisors, whose sum is σ = 843558159015936. Its totient is φ = 42934090383360.

The previous prime is 232314313442987. The next prime is 232314313443031. The reversal of 232314313443030 is 30344313413232.

232314313443030 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 1 + 4 + 3 + 1 + 344 + 303 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232314313443031) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 117504375 + ... + 119465085.

It is an arithmetic number, because the mean of its divisors is an integer number (1098383019552).

Almost surely, 2232314313443030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232314313443030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421779079507968).

232314313443030 is an abundant number, since it is smaller than the sum of its proper divisors (611243845572906).

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

232314313443030 is a wasteful number, since it uses less digits than its factorization.

232314313443030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960821 (or 1960818 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 232314313443030 its reverse (30344313413232), we get a palindrome (262658626856262).

The spelling of 232314313443030 in words is "two hundred thirty-two trillion, three hundred fourteen billion, three hundred thirteen million, four hundred forty-three thousand, thirty".