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14004441305 = 517617013853
BaseRepresentation
bin11010000101011101…
…01101000011011001
31100010222211022220022
431002232231003121
5212140114110210
610233351440225
71004020533641
oct150256550331
940128738808
1014004441305
115a37162038
12286a086075
13142250557a
1496bd11521
1556e70e155
hex342bad0d9

14004441305 has 32 divisors (see below), whose sum is σ = 18116081568. Its totient is φ = 10354176000.

The previous prime is 14004441289. The next prime is 14004441313. The reversal of 14004441305 is 50314440041.

It is a happy number.

14004441305 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 16 ways, for example, as 70291456 + 13934149849 = 8384^2 + 118043^2 .

It is not a de Polignac number, because 14004441305 - 24 = 14004441289 is a prime.

It is a super-2 number, since 2×140044413052 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3632759 + ... + 3636611.

It is an arithmetic number, because the mean of its divisors is an integer number (566127549).

Almost surely, 214004441305 is an apocalyptic number.

It is an amenable number.

14004441305 is a deficient number, since it is larger than the sum of its proper divisors (4111640263).

14004441305 is a wasteful number, since it uses less digits than its factorization.

14004441305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637.

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 14004441305 its reverse (50314440041), we get a palindrome (64318881346).

The spelling of 14004441305 in words is "fourteen billion, four million, four hundred forty-one thousand, three hundred five".

Divisors: 1 5 17 61 85 305 701 1037 3505 3853 5185 11917 19265 42761 59585 65501 213805 235033 327505 726937 1175165 2700953 3634685 3995561 13504765 19977805 45916201 164758133 229581005 823790665 2800888261 14004441305