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144130023344430 = 23254337242900089
BaseRepresentation
bin100000110001010111100010…
…110101111100100100101110
3200220022200210010210111200200
4200301113202311330210232
5122342411241434010210
61230312230232334330
742234023224345134
oct4061274265744456
9626280703714620
10144130023344430
1141a19221796a62
12141b94452443a6
136256531195416
142783d04c51754
15119e2453bc0c0
hex8315e2d7c92e

144130023344430 has 48 divisors (see below), whose sum is σ = 383452899326640. Its totient is φ = 37540843288704.

The previous prime is 144130023344393. The next prime is 144130023344477. The reversal of 144130023344430 is 34443320031441.

144130023344430 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 300 + 2 + 3 + 344 + 4 + 3 + 0 = 666.

144130023344430 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 18621446175 + ... + 18621453914.

It is an arithmetic number, because the mean of its divisors is an integer number (7988602069305).

Almost surely, 2144130023344430 is an apocalyptic number.

144130023344430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144130023344430 is an abundant number, since it is smaller than the sum of its proper divisors (239322875982210).

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

144130023344430 is a wasteful number, since it uses less digits than its factorization.

144130023344430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37242900145 (or 37242900142 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 144130023344430 its reverse (34443320031441), we get a palindrome (178573343375871).

The spelling of 144130023344430 in words is "one hundred forty-four trillion, one hundred thirty billion, twenty-three million, three hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 37242900089 74485800178 111728700267 186214500445 223457400534 335186100801 372429000890 558643501335 670372201602 1117287002670 1601444703827 1675930504005 3202889407654 3351861008010 4804334111481 8007223519135 9608668222962 14413002334443 16014447038270 24021670557405 28826004668886 48043341114810 72065011672215 144130023344430