Search a number
-
+
34412332441433 is a prime number
BaseRepresentation
bin1111101001100001111101…
…10110011101111101011001
311111211210020121121202200012
413310300332312131331121
514002302424101111213
6201104450212251305
710151131451334152
oct764607666357531
9144753217552605
1034412332441433
11aa68208598881
123a39410610b35
1316280b885692b
1486d7cc6c6929
153ea2251b94a8
hex1f4c3ed9df59

34412332441433 has 2 divisors, whose sum is σ = 34412332441434. Its totient is φ = 34412332441432.

The previous prime is 34412332441373. The next prime is 34412332441441. The reversal of 34412332441433 is 33414423321443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34252610720329 + 159721721104 = 5852573^2 + 399652^2 .

It is an emirp because it is prime and its reverse (33414423321443) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34412332441433 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34412332441453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17206166220716 + 17206166220717.

It is an arithmetic number, because the mean of its divisors is an integer number (17206166220717).

Almost surely, 234412332441433 is an apocalyptic number.

It is an amenable number.

34412332441433 is a deficient number, since it is larger than the sum of its proper divisors (1).

34412332441433 is an equidigital number, since it uses as much as digits as its factorization.

34412332441433 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 995328, while the sum is 41.

Adding to 34412332441433 its reverse (33414423321443), we get a palindrome (67826755762876).

The spelling of 34412332441433 in words is "thirty-four trillion, four hundred twelve billion, three hundred thirty-two million, four hundred forty-one thousand, four hundred thirty-three".