Search a number
-
+
6314145977 is a prime number
BaseRepresentation
bin1011110000101101…
…00011100010111001
3121022001011211221102
411320112203202321
5100412410132402
62522314021145
7312320232566
oct57026434271
917261154842
106314145977
112750197367
1212827177b5
137981aa569
1443c82586d
1526e4dd102
hex1785a38b9

6314145977 has 2 divisors, whose sum is σ = 6314145978. Its totient is φ = 6314145976.

The previous prime is 6314145953. The next prime is 6314145989. The reversal of 6314145977 is 7795414136.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6093207481 + 220938496 = 78059^2 + 14864^2 .

It is a cyclic number.

It is not a de Polignac number, because 6314145977 - 26 = 6314145913 is a prime.

It is not a weakly prime, because it can be changed into another prime (6314045977) 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, 3157072988 + 3157072989.

It is an arithmetic number, because the mean of its divisors is an integer number (3157072989).

Almost surely, 26314145977 is an apocalyptic number.

It is an amenable number.

6314145977 is a deficient number, since it is larger than the sum of its proper divisors (1).

6314145977 is an equidigital number, since it uses as much as digits as its factorization.

6314145977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 635040, while the sum is 47.

The square root of 6314145977 is about 79461.6006445881. The cubic root of 6314145977 is about 1848.2960670218.

The spelling of 6314145977 in words is "six billion, three hundred fourteen million, one hundred forty-five thousand, nine hundred seventy-seven".