Search a number
-
+
42444000481 is a prime number
BaseRepresentation
bin100111100001110111…
…000000110011100001
311001112222212121212211
4213201313000303201
51143411131003411
631255402122121
73031542023431
oct474167006341
9131488777784
1042444000481
1117000593853
1282864b0341
1340055058ac
1420a90022c1
151186350221
hex9e1dc0ce1

42444000481 has 2 divisors, whose sum is σ = 42444000482. Its totient is φ = 42444000480.

The previous prime is 42444000457. The next prime is 42444000503. The reversal of 42444000481 is 18400044424.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41182614225 + 1261386256 = 202935^2 + 35516^2 .

It is a cyclic number.

It is not a de Polignac number, because 42444000481 - 219 = 42443476193 is a prime.

It is a super-2 number, since 2×424440004812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42444000451) 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, 21222000240 + 21222000241.

It is an arithmetic number, because the mean of its divisors is an integer number (21222000241).

Almost surely, 242444000481 is an apocalyptic number.

It is an amenable number.

42444000481 is a deficient number, since it is larger than the sum of its proper divisors (1).

42444000481 is an equidigital number, since it uses as much as digits as its factorization.

42444000481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16384, while the sum is 31.

The spelling of 42444000481 in words is "forty-two billion, four hundred forty-four million, four hundred eighty-one", and thus it is an aban number.