Search a number
-
+
34144000001 is a prime number
BaseRepresentation
bin11111110011001001…
…000001100000000001
310021010112221220200122
4133303021001200001
51024411331000001
623404024230025
72316056132336
oct376311014001
9107115856618
1034144000001
1113531441621
12674a90b315
1332b1a946c7
14191c96498d
15d4c845b1b
hex7f3241801

34144000001 has 2 divisors, whose sum is σ = 34144000002. Its totient is φ = 34144000000.

The previous prime is 34143999959. The next prime is 34144000061. The reversal of 34144000001 is 10000044143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32236407025 + 1907592976 = 179545^2 + 43676^2 .

It is a cyclic number.

It is not a de Polignac number, because 34144000001 - 234 = 16964130817 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 (34144000061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17072000000 + 17072000001.

It is an arithmetic number, because the mean of its divisors is an integer number (17072000001).

Almost surely, 234144000001 is an apocalyptic number.

It is an amenable number.

34144000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

34144000001 is an equidigital number, since it uses as much as digits as its factorization.

34144000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 34144000001 its reverse (10000044143), we get a palindrome (44144044144).

The spelling of 34144000001 in words is "thirty-four billion, one hundred forty-four million, one", and thus it is an aban number.