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232143301413342 = 233113611091513217
BaseRepresentation
bin110100110010001000010011…
…000001001000100111011110
31010102221200102211001201111000
4310302020103001020213132
5220411413440130211332
62141421054352211130
766616541263311144
oct6462102301104736
91112850384051430
10232143301413342
1167a7146a759000
1222052b15b39aa6
139c6c0337acba7
144147b1d715594
151bc88a77e8b7c
hexd322130489de

232143301413342 has 512 divisors, whose sum is σ = 586052233113600. Its totient is φ = 68083234560000.

The previous prime is 232143301413311. The next prime is 232143301413409. The reversal of 232143301413342 is 243314103341232.

232143301413342 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 4 + 3 + 301 + 4 + 1 + 3 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 232143301413297 and 232143301413306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 72161422518 + ... + 72161425734.

It is an arithmetic number, because the mean of its divisors is an integer number (1144633267800).

Almost surely, 2232143301413342 is an apocalyptic number.

232143301413342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 232143301413342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293026116556800).

232143301413342 is an abundant number, since it is smaller than the sum of its proper divisors (353908931700258).

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

232143301413342 is a wasteful number, since it uses less digits than its factorization.

232143301413342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 232143301413342 its reverse (243314103341232), we get a palindrome (475457404754574).

The spelling of 232143301413342 in words is "two hundred thirty-two trillion, one hundred forty-three billion, three hundred one million, four hundred thirteen thousand, three hundred forty-two".