Search a number
-
+
144287306797 is a prime number
BaseRepresentation
bin1000011001100000110…
…0011001010000101101
3111210102122000122000211
42012120030121100231
54331000022304142
6150141253422421
713265400605014
oct2063014312055
9453378018024
10144287306797
11562124721a7
1223b6963aa11
13107b5b88b1a
146daabada7b
153b472e9917
hex219831942d

144287306797 has 2 divisors, whose sum is σ = 144287306798. Its totient is φ = 144287306796.

The previous prime is 144287306791. The next prime is 144287306803. The reversal of 144287306797 is 797603782441.

It is a balanced prime because it is at equal distance from previous prime (144287306791) and next prime (144287306803).

It can be written as a sum of positive squares in only one way, i.e., 141149738601 + 3137568196 = 375699^2 + 56014^2 .

It is an emirp because it is prime and its reverse (797603782441) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144287306797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144287306791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72143653398 + 72143653399.

It is an arithmetic number, because the mean of its divisors is an integer number (72143653399).

Almost surely, 2144287306797 is an apocalyptic number.

It is an amenable number.

144287306797 is a deficient number, since it is larger than the sum of its proper divisors (1).

144287306797 is an equidigital number, since it uses as much as digits as its factorization.

144287306797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14224896, while the sum is 58.

The spelling of 144287306797 in words is "one hundred forty-four billion, two hundred eighty-seven million, three hundred six thousand, seven hundred ninety-seven".