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144312245141 is a prime number
BaseRepresentation
bin1000011001100110101…
…1100001101110010101
3111210111100221122000012
42012121223201232111
54331022413321031
6150143544130005
713266122562401
oct2063153415625
9453440848005
10144312245141
11562255557a9
1223b75a66905
13107bb0aac3c
146db0222101
153b495c3b2b
hex2199ae1b95

144312245141 has 2 divisors, whose sum is σ = 144312245142. Its totient is φ = 144312245140.

The previous prime is 144312245123. The next prime is 144312245153. The reversal of 144312245141 is 141542213441.

144312245141 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., 132171510916 + 12140734225 = 363554^2 + 110185^2 .

It is a cyclic number.

It is not a de Polignac number, because 144312245141 - 210 = 144312244117 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144312245098 and 144312245107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144312245101) 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, 72156122570 + 72156122571.

It is an arithmetic number, because the mean of its divisors is an integer number (72156122571).

Almost surely, 2144312245141 is an apocalyptic number.

It is an amenable number.

144312245141 is a deficient number, since it is larger than the sum of its proper divisors (1).

144312245141 is an equidigital number, since it uses as much as digits as its factorization.

144312245141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15360, while the sum is 32.

Adding to 144312245141 its reverse (141542213441), we get a palindrome (285854458582).

The spelling of 144312245141 in words is "one hundred forty-four billion, three hundred twelve million, two hundred forty-five thousand, one hundred forty-one".