Search a number
-
+
41441314532113 is a prime number
BaseRepresentation
bin10010110110000110011101…
…10101001110101100010001
312102201202021110111111100101
421123003032311032230101
520412433303010011423
6224045513240452401
711505015256321516
oct1133031665165421
9172652243444311
1041441314532113
1112228187753881
12479373047a101
131a17b8c6a9532
14a33aadab730d
154bceb4e747ad
hex25b0ced4eb11

41441314532113 has 2 divisors, whose sum is σ = 41441314532114. Its totient is φ = 41441314532112.

The previous prime is 41441314532087. The next prime is 41441314532143. The reversal of 41441314532113 is 31123541314414.

41441314532113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41423344593409 + 17969938704 = 6436097^2 + 134052^2 .

It is a cyclic number.

It is not a de Polignac number, because 41441314532113 - 241 = 39242291276561 is a prime.

It is a super-2 number, since 2×414413145321132 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41441314532143) 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, 20720657266056 + 20720657266057.

It is an arithmetic number, because the mean of its divisors is an integer number (20720657266057).

Almost surely, 241441314532113 is an apocalyptic number.

It is an amenable number.

41441314532113 is a deficient number, since it is larger than the sum of its proper divisors (1).

41441314532113 is an equidigital number, since it uses as much as digits as its factorization.

41441314532113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69120, while the sum is 37.

Adding to 41441314532113 its reverse (31123541314414), we get a palindrome (72564855846527).

The spelling of 41441314532113 in words is "forty-one trillion, four hundred forty-one billion, three hundred fourteen million, five hundred thirty-two thousand, one hundred thirteen".