Search a number
-
+
3144129113 is a prime number
BaseRepresentation
bin1011101101100111…
…1001101001011001
322010010020022022102
42323121321221121
522414344112423
61235553333145
7140625441116
oct27331715131
98103208272
103144129113
111373862814
12738b671b5
133b1509138
1421b80390d
15136063c28
hexbb679a59

3144129113 has 2 divisors, whose sum is σ = 3144129114. Its totient is φ = 3144129112.

The previous prime is 3144129041. The next prime is 3144129143. The reversal of 3144129113 is 3119214413.

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., 2270808409 + 873320704 = 47653^2 + 29552^2 .

It is a cyclic number.

It is not a de Polignac number, because 3144129113 - 28 = 3144128857 is a prime.

It is not a weakly prime, because it can be changed into another prime (3144129143) 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, 1572064556 + 1572064557.

It is an arithmetic number, because the mean of its divisors is an integer number (1572064557).

Almost surely, 23144129113 is an apocalyptic number.

It is an amenable number.

3144129113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3144129113 is an equidigital number, since it uses as much as digits as its factorization.

3144129113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 29.

The square root of 3144129113 is about 56072.5343907336. The cubic root of 3144129113 is about 1464.9859423144.

The spelling of 3144129113 in words is "three billion, one hundred forty-four million, one hundred twenty-nine thousand, one hundred thirteen".