Search a number
-
+
17440311474241 is a prime number
BaseRepresentation
bin1111110111001010001110…
…0100011111100001000001
32021202021111021220200000221
43331302203210133201001
54241220224214133431
6101031545105343041
73450010114365505
oct375624344374101
967667437820027
1017440311474241
115614438182a27
121b58071037a81
139967ca85c106
14444189214305
152039e104b111
hexfdca391f841

17440311474241 has 2 divisors, whose sum is σ = 17440311474242. Its totient is φ = 17440311474240.

The previous prime is 17440311474197. The next prime is 17440311474259. The reversal of 17440311474241 is 14247411304471.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16267476623616 + 1172834850625 = 4033296^2 + 1082975^2 .

It is an emirp because it is prime and its reverse (14247411304471) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 17440311474241 - 211 = 17440311472193 is a prime.

It is a super-3 number, since 3×174403114742413 (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (17440311478241) 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, 8720155737120 + 8720155737121.

It is an arithmetic number, because the mean of its divisors is an integer number (8720155737121).

Almost surely, 217440311474241 is an apocalyptic number.

It is an amenable number.

17440311474241 is a deficient number, since it is larger than the sum of its proper divisors (1).

17440311474241 is an equidigital number, since it uses as much as digits as its factorization.

17440311474241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 301056, while the sum is 43.

The spelling of 17440311474241 in words is "seventeen trillion, four hundred forty billion, three hundred eleven million, four hundred seventy-four thousand, two hundred forty-one".