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231414106533192 = 2332115929391685051
BaseRepresentation
bin110100100111100001001011…
…100111011010110101001000
31010100100222020222020202011200
4310213201023213122311020
5220312442042233030232
62140102101203224200
766513055201145022
oct6447411347326510
91110328228222150
10231414106533192
1167810198203890
1221b55730078060
139c18344a0424b
144120706ca5012
151bb492a65177c
hexd2784b9dad48

231414106533192 has 192 divisors, whose sum is σ = 695549024352000. Its totient is φ = 68913422448000.

The previous prime is 231414106533191. The next prime is 231414106533347. The reversal of 231414106533192 is 291335601414132.

231414106533192 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 1 + 4 + 106 + 533 + 1 + 9 + 2 = 666.

231414106533192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (231414106533191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136491067 + ... + 138176117.

It is an arithmetic number, because the mean of its divisors is an integer number (3622651168500).

Almost surely, 2231414106533192 is an apocalyptic number.

231414106533192 is a gapful number since it is divisible by the number (22) 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 231414106533192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347774512176000).

231414106533192 is an abundant number, since it is smaller than the sum of its proper divisors (464134917818808).

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

231414106533192 is a wasteful number, since it uses less digits than its factorization.

231414106533192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688072 (or 1688065 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 231414106533192 in words is "two hundred thirty-one trillion, four hundred fourteen billion, one hundred six million, five hundred thirty-three thousand, one hundred ninety-two".