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4013000441 is a prime number
BaseRepresentation
bin1110111100110001…
…1000011011111001
3101100200011112200222
43233030120123321
531204312003231
61502112305425
7201305640512
oct35714303371
911320145628
104013000441
11177a26369a
1293bb42275
134bc523b98
142a0d79a09
1518749227b
hexef3186f9

4013000441 has 2 divisors, whose sum is σ = 4013000442. Its totient is φ = 4013000440.

The previous prime is 4013000363. The next prime is 4013000489. The reversal of 4013000441 is 1440003104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2502900841 + 1510099600 = 50029^2 + 38860^2 .

It is a cyclic number.

It is not a de Polignac number, because 4013000441 - 214 = 4012984057 is a prime.

It is a super-2 number, since 2×40130004412 = 32208345078932388962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4013000741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2006500220 + 2006500221.

It is an arithmetic number, because the mean of its divisors is an integer number (2006500221).

Almost surely, 24013000441 is an apocalyptic number.

It is an amenable number.

4013000441 is a deficient number, since it is larger than the sum of its proper divisors (1).

4013000441 is an equidigital number, since it uses as much as digits as its factorization.

4013000441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4013000441 is about 63348.2473396068. The cubic root of 4013000441 is about 1589.1189350170.

Adding to 4013000441 its reverse (1440003104), we get a palindrome (5453003545).

The spelling of 4013000441 in words is "four billion, thirteen million, four hundred forty-one", and thus it is an aban number.