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230421101344344 = 23323967806728781
BaseRepresentation
bin110100011001000100010111…
…111001001111011001011000
31010012212001010201210112201100
4310121010113321033121120
5220200204403421004334
62134021554223551400
766351242460254301
oct6431042771173130
91105761121715640
10230421101344344
1167468049709059
1221a151a075b560
139b75802945921
1440c86258277a8
151b98bad02bc99
hexd19117e4f658

230421101344344 has 48 divisors (see below), whose sum is σ = 624214462360320. Its totient is φ = 76787672195520.

The previous prime is 230421101344267. The next prime is 230421101344363. The reversal of 230421101344344 is 443443101124032.

230421101344344 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 211 + 0 + 1 + 3 + 4 + 434 + 4 = 666.

230421101344344 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 230421101344299 and 230421101344308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403078767 + ... + 403650014.

It is an arithmetic number, because the mean of its divisors is an integer number (13004467965840).

Almost surely, 2230421101344344 is an apocalyptic number.

230421101344344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230421101344344 is an abundant number, since it is smaller than the sum of its proper divisors (393793361015976).

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

230421101344344 is a wasteful number, since it uses less digits than its factorization.

230421101344344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806732760 (or 806732753 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 230421101344344 its reverse (443443101124032), we get a palindrome (673864202468376).

The spelling of 230421101344344 in words is "two hundred thirty trillion, four hundred twenty-one billion, one hundred one million, three hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3967 7934 11901 15868 23802 31736 35703 47604 71406 95208 142812 285624 806728781 1613457562 2420186343 3226915124 4840372686 6453830248 7260559029 9680745372 14521118058 19361490744 29042236116 58084472232 3200293074227 6400586148454 9600879222681 12801172296908 19201758445362 25602344593816 28802637668043 38403516890724 57605275336086 76807033781448 115210550672172 230421101344344