Search a number
-
+
14335387873 is a prime number
BaseRepresentation
bin11010101100111010…
…01010100011100001
31101000001120011020121
431112131022203201
5213324324402443
610330253040241
71015146533512
oct152635124341
941001504217
1014335387873
116096a530a4
122940a86081
131475c4a141
1499dc5ca09
1558d7d24ed
hex35674a8e1

14335387873 has 2 divisors, whose sum is σ = 14335387874. Its totient is φ = 14335387872.

The previous prime is 14335387837. The next prime is 14335387889. The reversal of 14335387873 is 37878353341.

14335387873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (14335387837) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14214123729 + 121264144 = 119223^2 + 11012^2 .

It is a cyclic number.

It is not a de Polignac number, because 14335387873 - 221 = 14333290721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14335387873.

It is not a weakly prime, because it can be changed into another prime (14335387673) 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 as a sum of consecutive naturals, namely, 7167693936 + 7167693937.

It is an arithmetic number, because the mean of its divisors is an integer number (7167693937).

Almost surely, 214335387873 is an apocalyptic number.

It is an amenable number.

14335387873 is a deficient number, since it is larger than the sum of its proper divisors (1).

14335387873 is an equidigital number, since it uses as much as digits as its factorization.

14335387873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5080320, while the sum is 52.

The spelling of 14335387873 in words is "fourteen billion, three hundred thirty-five million, three hundred eighty-seven thousand, eight hundred seventy-three".