Search a number
-
+
13444505377 is a prime number
BaseRepresentation
bin11001000010101101…
…01101111100100001
31021200222012122012121
430201112231330201
5210013243133002
610102030224241
7654111260452
oct144126557441
937628178177
1013444505377
11577a088976
122732655081
1313634c6734
149177d7129
1553a4a7237
hex3215adf21

13444505377 has 2 divisors, whose sum is σ = 13444505378. Its totient is φ = 13444505376.

The previous prime is 13444505363. The next prime is 13444505449. The reversal of 13444505377 is 77350544431.

13444505377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11870320401 + 1574184976 = 108951^2 + 39676^2 .

It is an emirp because it is prime and its reverse (77350544431) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13444505377 is a prime.

It is not a weakly prime, because it can be changed into another prime (13444305377) 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, 6722252688 + 6722252689.

It is an arithmetic number, because the mean of its divisors is an integer number (6722252689).

Almost surely, 213444505377 is an apocalyptic number.

It is an amenable number.

13444505377 is a deficient number, since it is larger than the sum of its proper divisors (1).

13444505377 is an equidigital number, since it uses as much as digits as its factorization.

13444505377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 705600, while the sum is 43.

The spelling of 13444505377 in words is "thirteen billion, four hundred forty-four million, five hundred five thousand, three hundred seventy-seven".