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286286141 is a prime number
BaseRepresentation
bin10001000100000…
…110000100111101
3201221200211202102
4101010012010331
51041242124031
644224034445
710044251321
oct2104060475
9657624672
10286286141
11137668019
127ba62a25
13474089ab
142a043981
151a2007cb
hex1110613d

286286141 has 2 divisors, whose sum is σ = 286286142. Its totient is φ = 286286140.

The previous prime is 286286123. The next prime is 286286153. The reversal of 286286141 is 141682682.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177688900 + 108597241 = 13330^2 + 10421^2 .

It is a cyclic number.

It is not a de Polignac number, because 286286141 - 214 = 286269757 is a prime.

It is equal to p15548843 and since 286286141 and 15548843 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 286286095 and 286286104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (286286101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 143143070 + 143143071.

It is an arithmetic number, because the mean of its divisors is an integer number (143143071).

Almost surely, 2286286141 is an apocalyptic number.

It is an amenable number.

286286141 is a deficient number, since it is larger than the sum of its proper divisors (1).

286286141 is an equidigital number, since it uses as much as digits as its factorization.

286286141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36864, while the sum is 38.

The square root of 286286141 is about 16919.9923463340. The cubic root of 286286141 is about 659.0728802309.

The spelling of 286286141 in words is "two hundred eighty-six million, two hundred eighty-six thousand, one hundred forty-one".