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138688027441 is a prime number
BaseRepresentation
bin1000000100101001110…
…0110101101100110001
3111020222101222202201221
42001022130311230301
54233013113334231
6143413513425041
713006550532265
oct2011234655461
9436871882657
10138688027441
11538a98597a7
1222a6640b181
1310102b24682
1469d92b20a5
15391a968d11
hex204a735b31

138688027441 has 2 divisors, whose sum is σ = 138688027442. Its totient is φ = 138688027440.

The previous prime is 138688027399. The next prime is 138688027493. The reversal of 138688027441 is 144720886831.

It is an a-pointer prime, because the next prime (138688027493) can be obtained adding 138688027441 to its sum of digits (52).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98094240000 + 40593787441 = 313200^2 + 201479^2 .

It is a cyclic number.

It is not a de Polignac number, because 138688027441 - 211 = 138688025393 is a prime.

It is not a weakly prime, because it can be changed into another prime (138688021441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69344013720 + 69344013721.

It is an arithmetic number, because the mean of its divisors is an integer number (69344013721).

Almost surely, 2138688027441 is an apocalyptic number.

It is an amenable number.

138688027441 is a deficient number, since it is larger than the sum of its proper divisors (1).

138688027441 is an equidigital number, since it uses as much as digits as its factorization.

138688027441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2064384, while the sum is 52.

The spelling of 138688027441 in words is "one hundred thirty-eight billion, six hundred eighty-eight million, twenty-seven thousand, four hundred forty-one".