Search a number
-
+
34133144413 is a prime number
BaseRepresentation
bin11111110010011111…
…100111001101011101
310021002210112101121211
4133302133213031131
51024401041110123
623402555424421
72315564640364
oct376237471535
9107083471554
1034133144413
11135262a7665
126747155111
1332ac763594
14191b33a7db
15d4b8ee40d
hex7f27e735d

34133144413 has 2 divisors, whose sum is σ = 34133144414. Its totient is φ = 34133144412.

The previous prime is 34133144407. The next prime is 34133144417. The reversal of 34133144413 is 31444133143.

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., 21323884729 + 12809259684 = 146027^2 + 113178^2 .

It is a cyclic number.

It is not a de Polignac number, because 34133144413 - 29 = 34133143901 is a prime.

It is a super-2 number, since 2×341331444132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34133144417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17066572206 + 17066572207.

It is an arithmetic number, because the mean of its divisors is an integer number (17066572207).

Almost surely, 234133144413 is an apocalyptic number.

It is an amenable number.

34133144413 is a deficient number, since it is larger than the sum of its proper divisors (1).

34133144413 is an equidigital number, since it uses as much as digits as its factorization.

34133144413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20736, while the sum is 31.

Adding to 34133144413 its reverse (31444133143), we get a palindrome (65577277556).

The spelling of 34133144413 in words is "thirty-four billion, one hundred thirty-three million, one hundred forty-four thousand, four hundred thirteen".