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230023344304000 = 2753132287148353
BaseRepresentation
bin110100010011010001111011…
…101110100010111110000000
31010011110000110100202022221101
4310103101323232202332000
5220122200302120212000
62133115133210104144
766310431622225252
oct6423217356427600
91104400410668841
10230023344304000
1167324397188525
122197009471b054
139b47153bca960
1440b32914c5cd2
151b8d67d4d8e6a
hexd1347bba2f80

230023344304000 has 256 divisors, whose sum is σ = 615927171000960. Its totient is φ = 84926226432000.

The previous prime is 230023344303967. The next prime is 230023344304021. The reversal of 230023344304000 is 403443320032.

230023344304000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230023344304000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4757143824 + ... + 4757192176.

Almost surely, 2230023344304000 is an apocalyptic number.

230023344304000 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 230023344304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307963585500480).

230023344304000 is an abundant number, since it is smaller than the sum of its proper divisors (385903826696960).

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

230023344304000 is a wasteful number, since it uses less digits than its factorization.

230023344304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71266 (or 71244 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 230023344304000 its reverse (403443320032), we get a palindrome (230426787624032).

The spelling of 230023344304000 in words is "two hundred thirty trillion, twenty-three billion, three hundred forty-four million, three hundred four thousand".