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14424970816 = 26150132
BaseRepresentation
bin11010110111100101…
…11001011001000000
31101020022010102221101
431123302321121000
5214020243031231
610343213104144
71020315141334
oct153362713100
941208112841
1014424970816
11613257a093
122966a88054
13148b6842b9
149abadb7c4
155965ca661
hex35bcb9640

14424970816 has 21 divisors (see below), whose sum is σ = 28626458241. Its totient is φ = 7212004992.

The previous prime is 14424970741. The next prime is 14424970841. The reversal of 14424970816 is 61807942441.

The square root of 14424970816 is 120104.

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

14424970816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10543182400 + 3881788416 = 102680^2 + 62304^2 .

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 953326 + ... + 968338.

Almost surely, 214424970816 is an apocalyptic number.

14424970816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14424970816 is the 120104-th square number.

It is an amenable number.

14424970816 is a deficient number, since it is larger than the sum of its proper divisors (14201487425).

14424970816 is an frugal number, since it uses more digits than its factorization.

14424970816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30038 (or 15015 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 14424970816 in words is "fourteen billion, four hundred twenty-four million, nine hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 15013 30026 60052 120104 240208 480416 960832 225390169 450780338 901560676 1803121352 3606242704 7212485408 14424970816