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231343940485728 = 25377312777547
BaseRepresentation
bin110100100110011111110101…
…011001001100001001100000
31010100010021010222110020000000
4310212133311121030021200
5220310314342231020403
62140005534501300000
766505022336451000
oct6446376531141140
91110107128406000
10231343940485728
1167793461309904
1221b44009704600
139c1184205c675
14411b16c1c8000
151bb2bc06917a3
hexd267f564c260

231343940485728 has 768 divisors, whose sum is σ = 797328209664000. Its totient is φ = 66037756764672.

The previous prime is 231343940485703. The next prime is 231343940485733. The reversal of 231343940485728 is 827584049343132.

It is a happy number.

231343940485728 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 43 + 9 + 40 + 485 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 30653758051 + ... + 30653765597.

It is an arithmetic number, because the mean of its divisors is an integer number (1038187773000).

Almost surely, 2231343940485728 is an apocalyptic number.

231343940485728 is a gapful number since it is divisible by the number (28) 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 231343940485728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398664104832000).

231343940485728 is an abundant number, since it is smaller than the sum of its proper divisors (565984269178272).

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

231343940485728 is an frugal number, since it uses more digits than its factorization.

231343940485728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8876 (or 8836 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 231343940485728 in words is "two hundred thirty-one trillion, three hundred forty-three billion, nine hundred forty million, four hundred eighty-five thousand, seven hundred twenty-eight".