Search a number
-
+
7415165441 is a prime number
BaseRepresentation
bin1101110011111101…
…00111001000000001
3201010202221102201002
412321332213020001
5110141240243231
63223444421345
7351516603065
oct67176471001
921122842632
107415165441
113165738602
12152b3a7855
13912327278
14504b4baa5
152d5ec60cb
hex1b9fa7201

7415165441 has 2 divisors, whose sum is σ = 7415165442. Its totient is φ = 7415165440.

The previous prime is 7415165423. The next prime is 7415165447. The reversal of 7415165441 is 1445615147.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5027377216 + 2387788225 = 70904^2 + 48865^2 .

It is a cyclic number.

It is not a de Polignac number, because 7415165441 - 222 = 7410971137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7415165395 and 7415165404.

It is not a weakly prime, because it can be changed into another prime (7415165447) 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, 3707582720 + 3707582721.

It is an arithmetic number, because the mean of its divisors is an integer number (3707582721).

Almost surely, 27415165441 is an apocalyptic number.

It is an amenable number.

7415165441 is a deficient number, since it is larger than the sum of its proper divisors (1).

7415165441 is an equidigital number, since it uses as much as digits as its factorization.

7415165441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 67200, while the sum is 38.

The square root of 7415165441 is about 86111.3548900492. The cubic root of 7415165441 is about 1950.0254601979.

The spelling of 7415165441 in words is "seven billion, four hundred fifteen million, one hundred sixty-five thousand, four hundred forty-one".