Search a number
-
+
3013438993 is a prime number
BaseRepresentation
bin1011001110011101…
…0110111000010001
321210000022120011121
42303213112320101
522132420021433
61215004242241
7134450544265
oct26347267021
97700276147
103013438993
11130700a354
12701240381
1339040b4c6
142083040a5
1512984ac2d
hexb39d6e11

3013438993 has 2 divisors, whose sum is σ = 3013438994. Its totient is φ = 3013438992.

The previous prime is 3013438973. The next prime is 3013438997. The reversal of 3013438993 is 3998343103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2967307729 + 46131264 = 54473^2 + 6792^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3013438993 is a prime.

It is not a weakly prime, because it can be changed into another prime (3013438997) 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, 1506719496 + 1506719497.

It is an arithmetic number, because the mean of its divisors is an integer number (1506719497).

Almost surely, 23013438993 is an apocalyptic number.

It is an amenable number.

3013438993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3013438993 is an equidigital number, since it uses as much as digits as its factorization.

3013438993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 209952, while the sum is 43.

The square root of 3013438993 is about 54894.7993256192. The cubic root of 3013438993 is about 1444.3999604747.

The spelling of 3013438993 in words is "three billion, thirteen million, four hundred thirty-eight thousand, nine hundred ninety-three".