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2144964193 is a prime number
BaseRepresentation
bin111111111011001…
…1000111001100001
312112111010110201021
41333312120321201
513343102323233
6552502005441
7104103615631
oct17766307141
95474113637
102144964193
11a0085a389
124ba416881
132825020a8
14164c326c1
15c8499e2d
hex7fd98e61

2144964193 has 2 divisors, whose sum is σ = 2144964194. Its totient is φ = 2144964192.

The previous prime is 2144964139. The next prime is 2144964229. The reversal of 2144964193 is 3914694412.

Together with previous prime (2144964139) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1795386384 + 349577809 = 42372^2 + 18697^2 .

It is a cyclic number.

It is not a de Polignac number, because 2144964193 - 213 = 2144956001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2144964593) 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, 1072482096 + 1072482097.

It is an arithmetic number, because the mean of its divisors is an integer number (1072482097).

Almost surely, 22144964193 is an apocalyptic number.

It is an amenable number.

2144964193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2144964193 is an equidigital number, since it uses as much as digits as its factorization.

2144964193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 186624, while the sum is 43.

The square root of 2144964193 is about 46313.7581394557. The cubic root of 2144964193 is about 1289.6544139672.

The spelling of 2144964193 in words is "two billion, one hundred forty-four million, nine hundred sixty-four thousand, one hundred ninety-three".