Search a number
-
+
41240410110329 is a prime number
BaseRepresentation
bin10010110000010000001111…
…11111101011100101111001
312102000112201002101102101212
421120020013333223211321
520401140324442012304
6223413325521452505
711454343544031353
oct1130100777534571
9172015632342355
1041240410110329
111215aa61410161
124760801aa1135
131a01c52ba6151
14a280918480d3
154b7b573ed66e
hex258207feb979

41240410110329 has 2 divisors, whose sum is σ = 41240410110330. Its totient is φ = 41240410110328.

The previous prime is 41240410110323. The next prime is 41240410110353. The reversal of 41240410110329 is 92301101404214.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31967410684729 + 9272999425600 = 5653973^2 + 3045160^2 .

It is a cyclic number.

It is not a de Polignac number, because 41240410110329 - 28 = 41240410110073 is a prime.

It is a super-3 number, since 3×412404101103293 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41240410110295 and 41240410110304.

It is not a weakly prime, because it can be changed into another prime (41240410110323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20620205055164 + 20620205055165.

It is an arithmetic number, because the mean of its divisors is an integer number (20620205055165).

Almost surely, 241240410110329 is an apocalyptic number.

It is an amenable number.

41240410110329 is a deficient number, since it is larger than the sum of its proper divisors (1).

41240410110329 is an equidigital number, since it uses as much as digits as its factorization.

41240410110329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 41240410110329 in words is "forty-one trillion, two hundred forty billion, four hundred ten million, one hundred ten thousand, three hundred twenty-nine".