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14310444465 = 325318009877
BaseRepresentation
bin11010101001111100…
…00000110110110001
31100221022121220022200
431110332000312301
5213301433210330
610324002253413
71014424525302
oct152476006661
940838556280
1014310444465
116083966809
122934657269
131470a25925
1499a8087a9
1558b506a60
hex354f80db1

14310444465 has 12 divisors (see below), whose sum is σ = 24804770484. Its totient is φ = 7632237024.

The previous prime is 14310444461. The next prime is 14310444481. The reversal of 14310444465 is 56444401341.

14310444465 is a `hidden beast` number, since 143 + 10 + 4 + 44 + 465 = 666.

14310444465 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 2 ways, for example, as 10068918336 + 4241526129 = 100344^2 + 65127^2 .

It is not a de Polignac number, because 14310444465 - 22 = 14310444461 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14310444461) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 159004894 + ... + 159004983.

It is an arithmetic number, because the mean of its divisors is an integer number (2067064207).

Almost surely, 214310444465 is an apocalyptic number.

14310444465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14310444465 is a deficient number, since it is larger than the sum of its proper divisors (10494326019).

14310444465 is a wasteful number, since it uses less digits than its factorization.

14310444465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318009888 (or 318009885 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 14310444465 in words is "fourteen billion, three hundred ten million, four hundred forty-four thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 318009877 954029631 1590049385 2862088893 4770148155 14310444465