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231441400344 = 2337113137310831
BaseRepresentation
bin1101011110001011111…
…0111000001000011000
3211010101112211022102110
43113202332320020120
512242442444302334
6254153412232320
722502222305140
oct3274276701030
9733345738373
10231441400344
118a176700690
1238a3130b6a0
1318a951c9a8b
14b2b7b37920
1560488beae9
hex35e2fb8218

231441400344 has 256 divisors, whose sum is σ = 746711285760. Its totient is φ = 58014144000.

The previous prime is 231441400339. The next prime is 231441400369. The reversal of 231441400344 is 443004144132.

231441400344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21363009 + ... + 21373839.

It is an arithmetic number, because the mean of its divisors is an integer number (2916840960).

Almost surely, 2231441400344 is an apocalyptic number.

231441400344 is a gapful number since it is divisible by the number (24) 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 231441400344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373355642880).

231441400344 is an abundant number, since it is smaller than the sum of its proper divisors (515269885416).

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

231441400344 is a wasteful number, since it uses less digits than its factorization.

231441400344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11262 (or 11258 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 231441400344 its reverse (443004144132), we get a palindrome (674445544476).

The spelling of 231441400344 in words is "two hundred thirty-one billion, four hundred forty-one million, four hundred thousand, three hundred forty-four".