Search a number
-
+
41004111040033 is a prime number
BaseRepresentation
bin10010101001011000000110…
…11110010000111000100001
312101011221202222222220112111
421110230003132100320201
520333302404411240113
6223113010100355321
711431310045052151
oct1124540336207041
9171157688886474
1041004111040033
1112079822786209
124722a559a5b41
1319b589549256b
14a1a8768dc761
154b192733e13d
hex254b03790e21

41004111040033 has 2 divisors, whose sum is σ = 41004111040034. Its totient is φ = 41004111040032.

The previous prime is 41004111040027. The next prime is 41004111040091. The reversal of 41004111040033 is 33004011140014.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22485350064384 + 18518760975649 = 4741872^2 + 4303343^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41004111040033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41004111039986 and 41004111040013.

It is not a weakly prime, because it can be changed into another prime (41004111040093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20502055520016 + 20502055520017.

It is an arithmetic number, because the mean of its divisors is an integer number (20502055520017).

Almost surely, 241004111040033 is an apocalyptic number.

It is an amenable number.

41004111040033 is a deficient number, since it is larger than the sum of its proper divisors (1).

41004111040033 is an equidigital number, since it uses as much as digits as its factorization.

41004111040033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 41004111040033 its reverse (33004011140014), we get a palindrome (74008122180047).

The spelling of 41004111040033 in words is "forty-one trillion, four billion, one hundred eleven million, forty thousand, thirty-three".