Search a number
-
+
442403214301 is a prime number
BaseRepresentation
bin1100111000000010100…
…10010101001111011101
31120021220211200211202101
412130001102111033131
524222020210324201
6535123124125101
743651110163336
oct6340122251735
91507824624671
10442403214301
11160693098964
12718a7b36791
13329455635a9
14175ab9c928d
15b79438dd01
hex67014953dd

442403214301 has 2 divisors, whose sum is σ = 442403214302. Its totient is φ = 442403214300.

The previous prime is 442403214251. The next prime is 442403214317. The reversal of 442403214301 is 103412304244.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 409196899225 + 33206315076 = 639685^2 + 182226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442403214301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 442403214301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (442403214401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221201607150 + 221201607151.

It is an arithmetic number, because the mean of its divisors is an integer number (221201607151).

Almost surely, 2442403214301 is an apocalyptic number.

It is an amenable number.

442403214301 is a deficient number, since it is larger than the sum of its proper divisors (1).

442403214301 is an equidigital number, since it uses as much as digits as its factorization.

442403214301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 442403214301 its reverse (103412304244), we get a palindrome (545815518545).

The spelling of 442403214301 in words is "four hundred forty-two billion, four hundred three million, two hundred fourteen thousand, three hundred one".