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231204421433440 = 255713172343944473
BaseRepresentation
bin110100100100011101111001…
…011010001111100001100000
31010022121221000122202000111001
4310210131321122033201200
5220301023123341332230
62135421502300001344
766461653045204420
oct6444357132174140
91108557018660431
10231204421433440
116773a276459914
1221b20b70b30254
139c01639011820
1441144d47d2480
151bae256cc30ca
hexd2477968f860

231204421433440 has 768 divisors, whose sum is σ = 760039656026112. Its totient is φ = 64341845213184.

The previous prime is 231204421433399. The next prime is 231204421433441. The reversal of 231204421433440 is 44334124402132.

It is a self number, because there is not a number n which added to its sum of digits gives 231204421433440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231204421433441) by changing a digit.

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, 244325044 + ... + 245269516.

It is an arithmetic number, because the mean of its divisors is an integer number (989634968784).

Almost surely, 2231204421433440 is an apocalyptic number.

231204421433440 is a gapful number since it is divisible by the number (20) 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 231204421433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380019828013056).

231204421433440 is an abundant number, since it is smaller than the sum of its proper divisors (528835234592672).

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

231204421433440 is a wasteful number, since it uses less digits than its factorization.

231204421433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944591 (or 944583 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 231204421433440 its reverse (44334124402132), we get a palindrome (275538545835572).

The spelling of 231204421433440 in words is "two hundred thirty-one trillion, two hundred four billion, four hundred twenty-one million, four hundred thirty-three thousand, four hundred forty".