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144801605873 is a prime number
BaseRepresentation
bin1000011011011011011…
…0010010100011110001
3111211202110202201201202
42012312312102203301
54333023202341443
6150304304540545
713314214225151
oct2066666224361
9454673681652
10144801605873
1156456805761
1224091921755
13108685a94c2
147019208761
153b775397b8
hex21b6d928f1

144801605873 has 2 divisors, whose sum is σ = 144801605874. Its totient is φ = 144801605872.

The previous prime is 144801605821. The next prime is 144801605903. The reversal of 144801605873 is 378506108441.

144801605873 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., 144801558784 + 47089 = 380528^2 + 217^2 .

It is a cyclic number.

It is not a de Polignac number, because 144801605873 - 28 = 144801605617 is a prime.

It is not a weakly prime, because it can be changed into another prime (144801605173) 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, 72400802936 + 72400802937.

It is an arithmetic number, because the mean of its divisors is an integer number (72400802937).

Almost surely, 2144801605873 is an apocalyptic number.

It is an amenable number.

144801605873 is a deficient number, since it is larger than the sum of its proper divisors (1).

144801605873 is an equidigital number, since it uses as much as digits as its factorization.

144801605873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 144801605873 in words is "one hundred forty-four billion, eight hundred one million, six hundred five thousand, eight hundred seventy-three".