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14330230344 = 2334191115783
BaseRepresentation
bin11010101100010010…
…11111011001001000
31100222200212010110000
431112021133121020
5213322014332334
610325550323000
71015054643133
oct152611373110
940880763400
1014330230344
116094050181
12293b1b9460
131474b62751
1499d2b921a
1558d114299
hex35625f648

14330230344 has 80 divisors (see below), whose sum is σ = 40348408320. Its totient is φ = 4751693280.

The previous prime is 14330230309. The next prime is 14330230357. The reversal of 14330230344 is 44303203341.

14330230344 is a `hidden beast` number, since 14 + 3 + 302 + 3 + 0 + 344 = 666.

14330230344 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65877 + ... + 181659.

It is an arithmetic number, because the mean of its divisors is an integer number (504355104).

Almost surely, 214330230344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14330230344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20174204160).

14330230344 is an abundant number, since it is smaller than the sum of its proper divisors (26018177976).

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

14330230344 is a wasteful number, since it uses less digits than its factorization.

14330230344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115992 (or 115979 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 14330230344 its reverse (44303203341), we get a palindrome (58633433685).

The spelling of 14330230344 in words is "fourteen billion, three hundred thirty million, two hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 191 216 324 382 573 648 764 1146 1528 1719 2292 3438 4584 5157 6876 10314 13752 15471 20628 30942 41256 61884 115783 123768 231566 347349 463132 694698 926264 1042047 1389396 2084094 2778792 3126141 4168188 6252282 8336376 9378423 12504564 18756846 22114553 25009128 37513692 44229106 66343659 75027384 88458212 132687318 176916424 199030977 265374636 398061954 530749272 597092931 796123908 1194185862 1592247816 1791278793 2388371724 3582557586 4776743448 7165115172 14330230344