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288742242881 is a prime number
BaseRepresentation
bin1000011001110100110…
…00001111101001000001
31000121021221110201012202
410030322120033221001
514212321003233011
6340351340202545
726601205366121
oct4147230175101
91017257421182
10288742242881
111015005177a4
1247b63239455
13212c76a6b71
14dd91d36c81
15779e1a723b
hex433a60fa41

288742242881 has 2 divisors, whose sum is σ = 288742242882. Its totient is φ = 288742242880.

The previous prime is 288742242847. The next prime is 288742242937. The reversal of 288742242881 is 188242247882.

It is an a-pointer prime, because the next prime (288742242937) can be obtained adding 288742242881 to its sum of digits (56).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164527584400 + 124214658481 = 405620^2 + 352441^2 .

It is a cyclic number.

It is not a de Polignac number, because 288742242881 - 210 = 288742241857 is a prime.

It is a super-2 number, since 2×2887422428812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (288742212881) 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, 144371121440 + 144371121441.

It is an arithmetic number, because the mean of its divisors is an integer number (144371121441).

Almost surely, 2288742242881 is an apocalyptic number.

It is an amenable number.

288742242881 is a deficient number, since it is larger than the sum of its proper divisors (1).

288742242881 is an equidigital number, since it uses as much as digits as its factorization.

288742242881 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7340032, while the sum is 56.

The spelling of 288742242881 in words is "two hundred eighty-eight billion, seven hundred forty-two million, two hundred forty-two thousand, eight hundred eighty-one".