Search a number
-
+
34133456641 is a prime number
BaseRepresentation
bin11111110010100000…
…110011011100000001
310021002211010020220211
4133302200303130001
51024401131103031
623403010234121
72315600410564
oct376240633401
9107084106824
1034133456641
11135264a01a9
126747285941
1332ac84272b
14191b3bc4db
15d4b961bb1
hex7f2833701

34133456641 has 2 divisors, whose sum is σ = 34133456642. Its totient is φ = 34133456640.

The previous prime is 34133456633. The next prime is 34133456683. The reversal of 34133456641 is 14665433143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29308070416 + 4825386225 = 171196^2 + 69465^2 .

It is a cyclic number.

It is not a de Polignac number, because 34133456641 - 23 = 34133456633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34133456594 and 34133456603.

It is not a weakly prime, because it can be changed into another prime (34133456611) 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, 17066728320 + 17066728321.

It is an arithmetic number, because the mean of its divisors is an integer number (17066728321).

Almost surely, 234133456641 is an apocalyptic number.

It is an amenable number.

34133456641 is a deficient number, since it is larger than the sum of its proper divisors (1).

34133456641 is an equidigital number, since it uses as much as digits as its factorization.

34133456641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 311040, while the sum is 40.

Adding to 34133456641 its reverse (14665433143), we get a palindrome (48798889784).

The spelling of 34133456641 in words is "thirty-four billion, one hundred thirty-three million, four hundred fifty-six thousand, six hundred forty-one".