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14450924944 = 244127332
BaseRepresentation
bin11010111010101011…
…11001110110010000
31101022002222001022101
431131111321312100
5214043414044234
610345541250144
71021051556341
oct153525716620
941262861271
1014450924944
116146196885
122973703954
131493b70881
149b13360c8
15598a05814
hex35d579d90

14450924944 has 45 divisors (see below), whose sum is σ = 28737422499. Its totient is φ = 7039614720.

The previous prime is 14450924941. The next prime is 14450924993. The reversal of 14450924944 is 44942905441.

The square root of 14450924944 is 120212.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 77792400 + 14373132544 = 8820^2 + 119888^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14450924894 and 14450924903.

It is not an unprimeable number, because it can be changed into a prime (14450924941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19714402 + ... + 19715134.

Almost surely, 214450924944 is an apocalyptic number.

14450924944 is the 120212-nd square number.

It is an amenable number.

14450924944 is a deficient number, since it is larger than the sum of its proper divisors (14286497555).

14450924944 is an frugal number, since it uses more digits than its factorization.

14450924944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 14450924944 in words is "fourteen billion, four hundred fifty million, nine hundred twenty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 41 82 164 328 656 733 1466 1681 2932 3362 5864 6724 11728 13448 26896 30053 60106 120212 240424 480848 537289 1074578 1232173 2149156 2464346 4298312 4928692 8596624 9857384 19714768 22028849 44057698 88115396 176230792 352461584 903182809 1806365618 3612731236 7225462472 14450924944