Search a number
-
+
14461444201 is a prime number
BaseRepresentation
bin11010111011111100…
…00010000001101001
31101022211202111000111
431131332002001221
5214104112203301
610350554534321
71021240150621
oct153576020151
941284674014
1014461444201
116151121086
1229771373a1
1314960b4899
149b28b3881
155998d2551
hex35df82069

14461444201 has 2 divisors, whose sum is σ = 14461444202. Its totient is φ = 14461444200.

The previous prime is 14461444177. The next prime is 14461444211. The reversal of 14461444201 is 10244416441.

14461444201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13298702400 + 1162741801 = 115320^2 + 34099^2 .

It is a cyclic number.

It is not a de Polignac number, because 14461444201 - 217 = 14461313129 is a prime.

It is not a weakly prime, because it can be changed into another prime (14461444211) 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, 7230722100 + 7230722101.

It is an arithmetic number, because the mean of its divisors is an integer number (7230722101).

Almost surely, 214461444201 is an apocalyptic number.

It is an amenable number.

14461444201 is a deficient number, since it is larger than the sum of its proper divisors (1).

14461444201 is an equidigital number, since it uses as much as digits as its factorization.

14461444201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 14461444201 in words is "fourteen billion, four hundred sixty-one million, four hundred forty-four thousand, two hundred one".