Search a number
-
+
409642241081 is a prime number
BaseRepresentation
bin1011111011000001001…
…01001000110000111001
31110011100200010222010212
411331200211020300321
523202421403203311
6512104222520505
741411213412023
oct5754045106071
91404320128125
10409642241081
11148801402887
1267484436135
132c824186b38
1415b809d9013
15a9c8188c8b
hex5f60948c39

409642241081 has 2 divisors, whose sum is σ = 409642241082. Its totient is φ = 409642241080.

The previous prime is 409642241023. The next prime is 409642241101. The reversal of 409642241081 is 180142246904.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 399923436025 + 9718805056 = 632395^2 + 98584^2 .

It is a cyclic number.

It is not a de Polignac number, because 409642241081 - 226 = 409575132217 is a prime.

It is a super-2 number, since 2×4096422410812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (409642247081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204821120540 + 204821120541.

It is an arithmetic number, because the mean of its divisors is an integer number (204821120541).

Almost surely, 2409642241081 is an apocalyptic number.

It is an amenable number.

409642241081 is a deficient number, since it is larger than the sum of its proper divisors (1).

409642241081 is an equidigital number, since it uses as much as digits as its factorization.

409642241081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 110592, while the sum is 41.

Adding to 409642241081 its reverse (180142246904), we get a palindrome (589784487985).

The spelling of 409642241081 in words is "four hundred nine billion, six hundred forty-two million, two hundred forty-one thousand, eighty-one".