Search a number
-
+
34049718433 is a prime number
BaseRepresentation
bin11111101101100001…
…010111100010100001
310020212222112220200201
4133231201113202201
51024213211442213
623350415345201
72313532555063
oct375541274241
9106788486621
1034049718433
11134931a6475
126723222201
1332983a39b3
141910221733
15d444206dd
hex7ed8578a1

34049718433 has 2 divisors, whose sum is σ = 34049718434. Its totient is φ = 34049718432.

The previous prime is 34049718377. The next prime is 34049718449. The reversal of 34049718433 is 33481794043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23227893649 + 10821824784 = 152407^2 + 104028^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34049718433 is a prime.

It is not a weakly prime, because it can be changed into another prime (34049718463) 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, 17024859216 + 17024859217.

It is an arithmetic number, because the mean of its divisors is an integer number (17024859217).

Almost surely, 234049718433 is an apocalyptic number.

It is an amenable number.

34049718433 is a deficient number, since it is larger than the sum of its proper divisors (1).

34049718433 is an equidigital number, since it uses as much as digits as its factorization.

34049718433 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 34049718433 in words is "thirty-four billion, forty-nine million, seven hundred eighteen thousand, four hundred thirty-three".