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230440412442114 = 232710691710843931
BaseRepresentation
bin110100011001010110010110…
…111011001110111000000010
31010012220212222120000221202200
4310121112112323032320002
5220201013431041121424
62134034510343454030
766352525146011010
oct6431262673167002
91105825876027680
10230440412442114
1167475259288696
1221a18a8ba57316
139b7758c6985b4
1440c95384238b0
151b9943d5688c9
hexd19596ecee02

230440412442114 has 48 divisors (see below), whose sum is σ = 571148138258880. Its totient is φ = 65778527420640.

The previous prime is 230440412441983. The next prime is 230440412442151. The reversal of 230440412442114 is 411244214044032.

230440412442114 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 404 + 1 + 244 + 2 + 1 + 1 + 4 = 666.

230440412442114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855287272 + ... + 855556659.

It is an arithmetic number, because the mean of its divisors is an integer number (11898919547060).

Almost surely, 2230440412442114 is an apocalyptic number.

230440412442114 is an abundant number, since it is smaller than the sum of its proper divisors (340707725816766).

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

230440412442114 is a wasteful number, since it uses less digits than its factorization.

230440412442114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710845015 (or 1710845012 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 230440412442114 its reverse (411244214044032), we get a palindrome (641684626486146).

The spelling of 230440412442114 in words is "two hundred thirty trillion, four hundred forty billion, four hundred twelve million, four hundred forty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1069 2138 3207 6414 7483 9621 14966 19242 22449 44898 67347 134694 1710843931 3421687862 5132531793 10265063586 11975907517 15397595379 23951815034 30795190758 35927722551 71855445102 107783167653 215566335306 1828892162239 3657784324478 5486676486717 10973352973434 12802245135673 16460029460151 25604490271346 32920058920302 38406735407019 76813470814038 115220206221057 230440412442114