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6144000041 is a prime number
BaseRepresentation
bin1011011100011011…
…00000000000101001
3120212012000112121002
411232031200000221
5100040331000131
62453355124345
7305153065364
oct55615400051
916765015532
106144000041
112673145193
1212357436b5
1376bb769aa
14423db50db
1525e5ce6cb
hex16e360029

6144000041 has 2 divisors, whose sum is σ = 6144000042. Its totient is φ = 6144000040.

The previous prime is 6144000029. The next prime is 6144000047. The reversal of 6144000041 is 1400004416.

It is a happy number.

6144000041 is digitally balanced in base 3, 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., 3195075625 + 2948924416 = 56525^2 + 54304^2 .

It is a cyclic number.

It is not a de Polignac number, because 6144000041 - 230 = 5070258217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6143999977 and 6144000022.

It is not a weakly prime, because it can be changed into another prime (6144000047) 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, 3072000020 + 3072000021.

It is an arithmetic number, because the mean of its divisors is an integer number (3072000021).

Almost surely, 26144000041 is an apocalyptic number.

It is an amenable number.

6144000041 is a deficient number, since it is larger than the sum of its proper divisors (1).

6144000041 is an equidigital number, since it uses as much as digits as its factorization.

6144000041 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 6144000041 is about 78383.6720305958. The cubic root of 6144000041 is about 1831.5427921594.

Adding to 6144000041 its reverse (1400004416), we get a palindrome (7544004457).

The spelling of 6144000041 in words is "six billion, one hundred forty-four million, forty-one", and thus it is an aban number.