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231050414304 = 25333744916097
BaseRepresentation
bin1101011100101110101…
…1011000100011100000
3211002101022010011102000
43113023223120203200
512241142401224204
6254050524124000
722456434055143
oct3271353304340
9732338104360
10231050414304
1189a95a32026
1238942396600
1318a321c32a8
14b27bc3c05a
1560243dc039
hex35cbad88e0

231050414304 has 192 divisors, whose sum is σ = 693695016000. Its totient is φ = 74763730944.

The previous prime is 231050414291. The next prime is 231050414321. The reversal of 231050414304 is 403414050132.

It is a happy number.

231050414304 is a `hidden beast` number, since 2 + 3 + 10 + 504 + 143 + 0 + 4 = 666.

231050414304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 14345584 + ... + 14361680.

It is an arithmetic number, because the mean of its divisors is an integer number (3612994875).

Almost surely, 2231050414304 is an apocalyptic number.

231050414304 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 231050414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346847508000).

231050414304 is an abundant number, since it is smaller than the sum of its proper divisors (462644601696).

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

231050414304 is a wasteful number, since it uses less digits than its factorization.

231050414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16602 (or 16588 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 231050414304 its reverse (403414050132), we get a palindrome (634464464436).

The spelling of 231050414304 in words is "two hundred thirty-one billion, fifty million, four hundred fourteen thousand, three hundred four".