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231454424454132 = 2231129735313813371
BaseRepresentation
bin110100101000000110101110…
…110000000101001111110100
31010100111211022210112100012210
4310220012232300011033310
5220314122130130013012
62140132410020213420
766516013255625025
oct6450065660051764
91110454283470183
10231454424454132
11678262a7666600
1221b6150253a270
139c1c09b8ba5b9
14412264d78cc4c
151bb59d9ed723c
hexd281aec053f4

231454424454132 has 288 divisors, whose sum is σ = 602052853352832. Its totient is φ = 69147353088000.

The previous prime is 231454424454101. The next prime is 231454424454151.

231454424454132 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68660462407 + ... + 68660465777.

It is an arithmetic number, because the mean of its divisors is an integer number (2090461296364).

Almost surely, 2231454424454132 is an apocalyptic number.

231454424454132 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 231454424454132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301026426676416).

231454424454132 is an abundant number, since it is smaller than the sum of its proper divisors (370598428898700).

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

231454424454132 is a wasteful number, since it uses less digits than its factorization.

231454424454132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5231 (or 5218 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 48.

The spelling of 231454424454132 in words is "two hundred thirty-one trillion, four hundred fifty-four billion, four hundred twenty-four million, four hundred fifty-four thousand, one hundred thirty-two".