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2000381441 is a prime number
BaseRepresentation
bin111011100111011…
…0110011000000001
312011102001220110112
41313032312120001
513044044201231
6530255041105
7100366650602
oct16716663001
95142056415
102000381441
11937188203
12479b10195
1325b57bb76
1414d957da9
15ba93a92b
hex773b6601

2000381441 has 2 divisors, whose sum is σ = 2000381442. Its totient is φ = 2000381440.

The previous prime is 2000381417. The next prime is 2000381519. The reversal of 2000381441 is 1441830002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1825083841 + 175297600 = 42721^2 + 13240^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000381441 - 226 = 1933272577 is a prime.

It is not a weakly prime, because it can be changed into another prime (2000381741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000190720 + 1000190721.

It is an arithmetic number, because the mean of its divisors is an integer number (1000190721).

Almost surely, 22000381441 is an apocalyptic number.

It is an amenable number.

2000381441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000381441 is an equidigital number, since it uses as much as digits as its factorization.

2000381441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2000381441 is about 44725.6239867036. The cubic root of 2000381441 is about 1260.0011423942.

The spelling of 2000381441 in words is "two billion, three hundred eighty-one thousand, four hundred forty-one".