Search a number
-
+
231491014126848 = 28327231711974729
BaseRepresentation
bin110100101000101000110011…
…101010100110110100000000
31010100122022202210110022011100
4310220220303222212310000
5220320222044104024343
62140201300452014400
766521450062666500
oct6450506352466400
91110568683408140
10231491014126848
116783a873575243
1221b68614301400
139c2268026c508
144124321061a00
151bb692c3c69d3
hexd28a33aa6d00

231491014126848 has 1296 divisors, whose sum is σ = 817048644572160. Its totient is φ = 62771621068800.

The previous prime is 231491014126847. The next prime is 231491014126861. The reversal of 231491014126848 is 848621410194132.

231491014126848 is a `hidden beast` number, since 2 + 3 + 1 + 49 + 101 + 412 + 6 + 84 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 231491014126794 and 231491014126803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231491014126847) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48951364548 + ... + 48951369276.

It is an arithmetic number, because the mean of its divisors is an integer number (630438768960).

Almost surely, 2231491014126848 is an apocalyptic number.

231491014126848 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 231491014126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408524322286080).

231491014126848 is an abundant number, since it is smaller than the sum of its proper divisors (585557630445312).

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

231491014126848 is a wasteful number, since it uses less digits than its factorization.

231491014126848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5064 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 231491014126848 in words is "two hundred thirty-one trillion, four hundred ninety-one billion, fourteen million, one hundred twenty-six thousand, eight hundred forty-eight".