Search a number
-
+
15040332821 is a prime number
BaseRepresentation
bin11100000000111100…
…10100010000010101
31102211012001001220202
432000132110100111
5221300311122241
610524234310245
71041466501553
oct160036242025
942735031822
1015040332821
11641896a728
122ab8b88385
131558ccb227
14a29722bd3
155d062ed9b
hex380794415

15040332821 has 2 divisors, whose sum is σ = 15040332822. Its totient is φ = 15040332820.

The previous prime is 15040332781. The next prime is 15040332823. The reversal of 15040332821 is 12823304051.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9551152900 + 5489179921 = 97730^2 + 74089^2 .

It is a cyclic number.

It is not a de Polignac number, because 15040332821 - 26 = 15040332757 is a prime.

It is a super-2 number, since 2×150403328212 (a number of 21 digits) contains 22 as substring.

Together with 15040332823, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15040332823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7520166410 + 7520166411.

It is an arithmetic number, because the mean of its divisors is an integer number (7520166411).

Almost surely, 215040332821 is an apocalyptic number.

It is an amenable number.

15040332821 is a deficient number, since it is larger than the sum of its proper divisors (1).

15040332821 is an equidigital number, since it uses as much as digits as its factorization.

15040332821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 15040332821 its reverse (12823304051), we get a palindrome (27863636872).

The spelling of 15040332821 in words is "fifteen billion, forty million, three hundred thirty-two thousand, eight hundred twenty-one".