Search a number
-
+
41344130316817 is a prime number
BaseRepresentation
bin10010110011010001011100…
…01100110111101000010001
312102101110102112020211120001
421121220232030313220101
520404340234330114232
6223533121541450001
711465005043163046
oct1131505614675021
9172343375224501
1041344130316817
111219aa467a7479
124778929710901
131a0b9723628b3
14a2d0d09c91cd
154ba6c80416e7
hex259a2e337a11

41344130316817 has 2 divisors, whose sum is σ = 41344130316818. Its totient is φ = 41344130316816.

The previous prime is 41344130316809. The next prime is 41344130316859. The reversal of 41344130316817 is 71861303144314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29511741165841 + 11832389150976 = 5432471^2 + 3439824^2 .

It is a cyclic number.

It is not a de Polignac number, because 41344130316817 - 23 = 41344130316809 is a prime.

It is a super-4 number, since 4×413441303168174 (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (41344130316217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20672065158408 + 20672065158409.

It is an arithmetic number, because the mean of its divisors is an integer number (20672065158409).

Almost surely, 241344130316817 is an apocalyptic number.

It is an amenable number.

41344130316817 is a deficient number, since it is larger than the sum of its proper divisors (1).

41344130316817 is an equidigital number, since it uses as much as digits as its factorization.

41344130316817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 41344130316817 in words is "forty-one trillion, three hundred forty-four billion, one hundred thirty million, three hundred sixteen thousand, eight hundred seventeen".