Search a number
-
+
34410342032141 is a prime number
BaseRepresentation
bin1111101001011110010000…
…01101101010001100001101
311111211121002220022111102112
413310233020031222030031
514002234340030012031
6201103520511033405
710151031232205465
oct764571015521415
9144747086274375
1034410342032141
11aa67387001919
123a38b55b0b865
131627b5c389a5a
1486d680206ba5
153ea15a59d62b
hex1f4bc836a30d

34410342032141 has 2 divisors, whose sum is σ = 34410342032142. Its totient is φ = 34410342032140.

The previous prime is 34410342032113. The next prime is 34410342032153. The reversal of 34410342032141 is 14123024301443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18553651686025 + 15856690346116 = 4307395^2 + 3982046^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34410342032141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34410342032098 and 34410342032107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34410342032161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17205171016070 + 17205171016071.

It is an arithmetic number, because the mean of its divisors is an integer number (17205171016071).

Almost surely, 234410342032141 is an apocalyptic number.

It is an amenable number.

34410342032141 is a deficient number, since it is larger than the sum of its proper divisors (1).

34410342032141 is an equidigital number, since it uses as much as digits as its factorization.

34410342032141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 34410342032141 its reverse (14123024301443), we get a palindrome (48533366333584).

The spelling of 34410342032141 in words is "thirty-four trillion, four hundred ten billion, three hundred forty-two million, thirty-two thousand, one hundred forty-one".