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144312204313 is a prime number
BaseRepresentation
bin1000011001100110101…
…1010111110000011001
3111210111100212120000001
42012121223113300121
54331022411014223
6150143543213001
713266122332354
oct2063153276031
9453440776001
10144312204313
1156225528062
1223b75a47161
13107bb095494
146db021129b
153b495b69ad
hex2199ad7c19

144312204313 has 2 divisors, whose sum is σ = 144312204314. Its totient is φ = 144312204312.

The previous prime is 144312204233. The next prime is 144312204319. The reversal of 144312204313 is 313402213441.

It is a happy number.

144312204313 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., 144302736384 + 9467929 = 379872^2 + 3077^2 .

It is a cyclic number.

It is not a de Polignac number, because 144312204313 - 233 = 135722269721 is a prime.

It is not a weakly prime, because it can be changed into another prime (144312204319) 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, 72156102156 + 72156102157.

It is an arithmetic number, because the mean of its divisors is an integer number (72156102157).

Almost surely, 2144312204313 is an apocalyptic number.

It is an amenable number.

144312204313 is a deficient number, since it is larger than the sum of its proper divisors (1).

144312204313 is an equidigital number, since it uses as much as digits as its factorization.

144312204313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 144312204313 its reverse (313402213441), we get a palindrome (457714417754).

The spelling of 144312204313 in words is "one hundred forty-four billion, three hundred twelve million, two hundred four thousand, three hundred thirteen".