Search a number
-
+
41441214344441 = 611211695606749
BaseRepresentation
bin10010110110000110010001…
…10111000010110011111001
312102201202000110222102200212
421123003020313002303321
520412433101333010231
6224045455301240505
711505012631615262
oct1133031067026371
9172652013872625
1041441214344441
111222813614434a
124793702a03135
131a17b749cb4a2
14a33aa0677969
154bceab28442b
hex25b0c8dc2cf9

41441214344441 has 8 divisors (see below), whose sum is σ = 42120933645000. Its totient is φ = 40761506499840.

The previous prime is 41441214344407. The next prime is 41441214344447. The reversal of 41441214344441 is 14444341214414.

41441214344441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 750338820841 + 40690875523600 = 866221^2 + 6378940^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 41441214344441 - 214 = 41441214328057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41441214344447) 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 in 7 ways as a sum of consecutive naturals, for example, 4587935 + ... + 10194683.

It is an arithmetic number, because the mean of its divisors is an integer number (5265116705625).

Almost surely, 241441214344441 is an apocalyptic number.

It is an amenable number.

41441214344441 is a deficient number, since it is larger than the sum of its proper divisors (679719300559).

41441214344441 is a wasteful number, since it uses less digits than its factorization.

41441214344441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727979.

The product of its digits is 393216, while the sum is 41.

Adding to 41441214344441 its reverse (14444341214414), we get a palindrome (55885555558855).

The spelling of 41441214344441 in words is "forty-one trillion, four hundred forty-one billion, two hundred fourteen million, three hundred forty-four thousand, four hundred forty-one".

Divisors: 1 61 121169 5606749 7391309 342011689 679364169581 41441214344441