Search a number
-
+
41440144035841 is a prime number
BaseRepresentation
bin10010110110000100010010…
…00100001001000000000001
312102201122020220000010022121
421123002021010021000001
520412423403333121331
6224045201145004241
711504644254264115
oct1133021104110001
9172648226003277
1041440144035841
1112227736a69691
124793464483681
131a17a340451a5
14a339dc467745
154bce47315c11
hex25b089109001

41440144035841 has 2 divisors, whose sum is σ = 41440144035842. Its totient is φ = 41440144035840.

The previous prime is 41440144035839. The next prime is 41440144035859. The reversal of 41440144035841 is 14853044104414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39958568195841 + 1481575840000 = 6321279^2 + 1217200^2 .

It is a cyclic number.

It is not a de Polignac number, because 41440144035841 - 21 = 41440144035839 is a prime.

It is a super-2 number, since 2×414401440358412 (a number of 28 digits) contains 22 as substring.

Together with 41440144035839, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (41440144035811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20720072017920 + 20720072017921.

It is an arithmetic number, because the mean of its divisors is an integer number (20720072017921).

Almost surely, 241440144035841 is an apocalyptic number.

It is an amenable number.

41440144035841 is a deficient number, since it is larger than the sum of its proper divisors (1).

41440144035841 is an equidigital number, since it uses as much as digits as its factorization.

41440144035841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 491520, while the sum is 43.

The spelling of 41440144035841 in words is "forty-one trillion, four hundred forty billion, one hundred forty-four million, thirty-five thousand, eight hundred forty-one".