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3138143993 is a prime number
BaseRepresentation
bin1011101100001100…
…0100011011111001
322002200222020021022
42323003010123321
522411331101433
61235221152225
7140523532565
oct27303043371
98080866238
103138143993
111370445036
12736b5b675
133b01c1b4a
1421aac66a5
15135780698
hexbb0c46f9

3138143993 has 2 divisors, whose sum is σ = 3138143994. Its totient is φ = 3138143992.

The previous prime is 3138143959. The next prime is 3138144001. The reversal of 3138143993 is 3993418313.

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., 2502700729 + 635443264 = 50027^2 + 25208^2 .

It is a cyclic number.

It is not a de Polignac number, because 3138143993 - 216 = 3138078457 is a prime.

It is not a weakly prime, because it can be changed into another prime (3138143093) 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, 1569071996 + 1569071997.

It is an arithmetic number, because the mean of its divisors is an integer number (1569071997).

Almost surely, 23138143993 is an apocalyptic number.

It is an amenable number.

3138143993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3138143993 is an equidigital number, since it uses as much as digits as its factorization.

3138143993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 209952, while the sum is 44.

The square root of 3138143993 is about 56019.1395239163. The cubic root of 3138143993 is about 1464.0557762960.

The spelling of 3138143993 in words is "three billion, one hundred thirty-eight million, one hundred forty-three thousand, nine hundred ninety-three".