Search a number
-
+
41438317381 is a prime number
BaseRepresentation
bin100110100101111010…
…101000101101000101
310221221220111122000121
4212211322220231011
51134331202124011
631011514541541
72664610612636
oct464572505505
9127856448017
1041438317381
111663493919a
1280457378b1
133ba5058a36
14201161588d
151127de9e71
hex9a5ea8b45

41438317381 has 2 divisors, whose sum is σ = 41438317382. Its totient is φ = 41438317380.

The previous prime is 41438317337. The next prime is 41438317397. The reversal of 41438317381 is 18371383414.

It is a happy number.

41438317381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32423764356 + 9014553025 = 180066^2 + 94945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41438317381 is a prime.

It is a super-3 number, since 3×414383173813 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41438317981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20719158690 + 20719158691.

It is an arithmetic number, because the mean of its divisors is an integer number (20719158691).

Almost surely, 241438317381 is an apocalyptic number.

It is an amenable number.

41438317381 is a deficient number, since it is larger than the sum of its proper divisors (1).

41438317381 is an equidigital number, since it uses as much as digits as its factorization.

41438317381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 193536, while the sum is 43.

The spelling of 41438317381 in words is "forty-one billion, four hundred thirty-eight million, three hundred seventeen thousand, three hundred eighty-one".