Search a number
-
+
2015315441 is a prime number
BaseRepresentation
bin111100000011111…
…0100010111110001
312012110011122001122
41320013310113301
513111410043231
6531551112025
7100640620136
oct17007642761
95173148048
102015315441
11944658357
12482b12615
132616aa459
1415192458d
15bbdda77b
hex781f45f1

2015315441 has 2 divisors, whose sum is σ = 2015315442. Its totient is φ = 2015315440.

The previous prime is 2015315431. The next prime is 2015315461. The reversal of 2015315441 is 1445135102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1999878400 + 15437041 = 44720^2 + 3929^2 .

It is a cyclic number.

It is not a de Polignac number, because 2015315441 - 226 = 1948206577 is a prime.

It is a super-3 number, since 3×20153154413 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2015315441.

It is not a weakly prime, because it can be changed into another prime (2015315431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1007657720 + 1007657721.

It is an arithmetic number, because the mean of its divisors is an integer number (1007657721).

Almost surely, 22015315441 is an apocalyptic number.

It is an amenable number.

2015315441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2015315441 is an equidigital number, since it uses as much as digits as its factorization.

2015315441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 2015315441 is about 44892.2648236865. The cubic root of 2015315441 is about 1263.1289165446.

The spelling of 2015315441 in words is "two billion, fifteen million, three hundred fifteen thousand, four hundred forty-one".