Search a number
-
+
444375372640517 is a prime number
BaseRepresentation
bin110010100001010000011010…
…0001110111011000100000101
32011021101212111202201201020222
41211002200310032323010011
5431221121230343444032
64213035121123434125
7162413026663553363
oct14502406416730405
92137355452651228
10444375372640517
111196565a0016a7a
1241a0ab11225945
13160c5557c981c6
147ba3c50560633
1536593535d8a12
hex19428343bb105

444375372640517 has 2 divisors, whose sum is σ = 444375372640518. Its totient is φ = 444375372640516.

The previous prime is 444375372640427. The next prime is 444375372640519. The reversal of 444375372640517 is 715046273573444.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 273432979284481 + 170942393356036 = 16535809^2 + 13074494^2 .

It is a cyclic number.

It is not a de Polignac number, because 444375372640517 - 218 = 444375372378373 is a prime.

Together with 444375372640519, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 444375372640517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (444375372640519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222187686320258 + 222187686320259.

It is an arithmetic number, because the mean of its divisors is an integer number (222187686320259).

Almost surely, 2444375372640517 is an apocalyptic number.

It is an amenable number.

444375372640517 is a deficient number, since it is larger than the sum of its proper divisors (1).

444375372640517 is an equidigital number, since it uses as much as digits as its factorization.

444375372640517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 237081600, while the sum is 62.

The spelling of 444375372640517 in words is "four hundred forty-four trillion, three hundred seventy-five billion, three hundred seventy-two million, six hundred forty thousand, five hundred seventeen".