Search a number
-
+
144777773773 is a prime number
BaseRepresentation
bin1000011011010101101…
…1011000001011001101
3111211200210220221020101
42012311123120023031
54333001102230043
6150302054051101
713313504525623
oct2066533301315
9454623827211
10144777773773
1156444308306
1224085949a91
1310863683a79
147015da3513
153b753cd24d
hex21b56d82cd

144777773773 has 2 divisors, whose sum is σ = 144777773774. Its totient is φ = 144777773772.

The previous prime is 144777773597. The next prime is 144777773821. The reversal of 144777773773 is 377377777441.

144777773773 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131857586884 + 12920186889 = 363122^2 + 113667^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144777773773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144777774773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72388886886 + 72388886887.

It is an arithmetic number, because the mean of its divisors is an integer number (72388886887).

Almost surely, 2144777773773 is an apocalyptic number.

It is an amenable number.

144777773773 is a deficient number, since it is larger than the sum of its proper divisors (1).

144777773773 is an equidigital number, since it uses as much as digits as its factorization.

144777773773 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 118590192, while the sum is 64.

The spelling of 144777773773 in words is "one hundred forty-four billion, seven hundred seventy-seven million, seven hundred seventy-three thousand, seven hundred seventy-three".