Search a number
-
+
241605704657 is a prime number
BaseRepresentation
bin1110000100000011010…
…0100111101111010001
3212002121220202110200202
43201000310213233101
512424302030022112
6302554144424545
723312133414332
oct3410064475721
9762556673622
10241605704657
1193512137989
123a9a9318155
1319a24c53c25
14b99da2a289
156440dd56c2
hex3840d27bd1

241605704657 has 2 divisors, whose sum is σ = 241605704658. Its totient is φ = 241605704656.

The previous prime is 241605704579. The next prime is 241605704689. The reversal of 241605704657 is 756407506142.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122497200016 + 119108504641 = 349996^2 + 345121^2 .

It is a cyclic number.

It is not a de Polignac number, because 241605704657 - 224 = 241588927441 is a prime.

It is a super-2 number, since 2×2416057046572 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (241605704057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120802852328 + 120802852329.

It is an arithmetic number, because the mean of its divisors is an integer number (120802852329).

Almost surely, 2241605704657 is an apocalyptic number.

It is an amenable number.

241605704657 is a deficient number, since it is larger than the sum of its proper divisors (1).

241605704657 is an equidigital number, since it uses as much as digits as its factorization.

241605704657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1411200, while the sum is 47.

The spelling of 241605704657 in words is "two hundred forty-one billion, six hundred five million, seven hundred four thousand, six hundred fifty-seven".