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14463806346 = 23211174297031
BaseRepresentation
bin11010111100001110…
…00010101110001010
31101100000012111021100
431132013002232022
5214110213300341
610351121322230
71021266216423
oct153607025612
941300174240
1014463806346
116152494870
122977a96376
131496730ac2
149b2d2a64a
15599bec3b6
hex35e1c2b8a

14463806346 has 48 divisors (see below), whose sum is σ = 36198197568. Its totient is φ = 4125148800.

The previous prime is 14463806323. The next prime is 14463806351. The reversal of 14463806346 is 64360836441.

It is a happy number.

14463806346 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 3 + 8 + 0 + 634 + 6 = 666.

14463806346 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2145150 + ... + 2151881.

It is an arithmetic number, because the mean of its divisors is an integer number (754129116).

Almost surely, 214463806346 is an apocalyptic number.

14463806346 is an abundant number, since it is smaller than the sum of its proper divisors (21734391222).

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

14463806346 is a wasteful number, since it uses less digits than its factorization.

14463806346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297067 (or 4297064 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 14463806346 in words is "fourteen billion, four hundred sixty-three million, eight hundred six thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 4297031 8594062 12891093 25782186 38673279 47267341 73049527 77346558 94534682 141802023 146099054 219148581 283604046 425406069 438297162 657445743 803544797 850812138 1314891486 1607089594 2410634391 4821268782 7231903173 14463806346