Search a number
-
+
289390145857 is a prime number
BaseRepresentation
bin1000011011000001111…
…11110011000101000001
31000122222002121121000021
410031200333303011001
514220132334131412
6340535523053441
726623233440101
oct4154077630501
91018862547007
10289390145857
111018032138aa
1248104211281
132139b9a54c7
1410013dcd201
1577daed8607
hex4360ff3141

289390145857 has 2 divisors, whose sum is σ = 289390145858. Its totient is φ = 289390145856.

The previous prime is 289390145851. The next prime is 289390145861. The reversal of 289390145857 is 758541093982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 234821653056 + 54568492801 = 484584^2 + 233599^2 .

It is a cyclic number.

It is not a de Polignac number, because 289390145857 - 231 = 287242662209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 289390145795 and 289390145804.

It is not a weakly prime, because it can be changed into another prime (289390145851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144695072928 + 144695072929.

It is an arithmetic number, because the mean of its divisors is an integer number (144695072929).

Almost surely, 2289390145857 is an apocalyptic number.

It is an amenable number.

289390145857 is a deficient number, since it is larger than the sum of its proper divisors (1).

289390145857 is an equidigital number, since it uses as much as digits as its factorization.

289390145857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21772800, while the sum is 61.

The spelling of 289390145857 in words is "two hundred eighty-nine billion, three hundred ninety million, one hundred forty-five thousand, eight hundred fifty-seven".