Search a number
-
+
40601441 is a prime number
BaseRepresentation
bin1001101011100…
…0011101100001
32211101202201002
42122320131201
540343221231
64010121345
71002051356
oct232703541
984352632
1040601441
1120a11511
1211720255
13854752a
14556c62d
1538700cb
hex26b8761

40601441 has 2 divisors, whose sum is σ = 40601442. Its totient is φ = 40601440.

The previous prime is 40601411. The next prime is 40601459. The reversal of 40601441 is 14410604.

It is a happy number.

40601441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20611600 + 19989841 = 4540^2 + 4471^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40601441 is a prime.

It is a super-2 number, since 2×406014412 = 3296954022552962, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (40601411) 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, 20300720 + 20300721.

It is an arithmetic number, because the mean of its divisors is an integer number (20300721).

Almost surely, 240601441 is an apocalyptic number.

It is an amenable number.

40601441 is a deficient number, since it is larger than the sum of its proper divisors (1).

40601441 is an equidigital number, since it uses as much as digits as its factorization.

40601441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 40601441 is about 6371.9260039646. The cubic root of 40601441 is about 343.7007521293.

The spelling of 40601441 in words is "forty million, six hundred one thousand, four hundred forty-one".