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144042040217 is a prime number
BaseRepresentation
bin1000011000100110010…
…0110001101110011001
3111202210112111210112102
42012021210301232121
54324444230241332
6150101052453145
713256332066055
oct2061144615631
9452715453472
10144042040217
11560a6a81849
1223abb47a1b5
1310777112a7a
146d863a6c65
153b309ed062
hex2189931b99

144042040217 has 2 divisors, whose sum is σ = 144042040218. Its totient is φ = 144042040216.

The previous prime is 144042040189. The next prime is 144042040297. The reversal of 144042040217 is 712040240441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98104262656 + 45937777561 = 313216^2 + 214331^2 .

It is a cyclic number.

It is not a de Polignac number, because 144042040217 - 28 = 144042039961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144042040217.

It is not a weakly prime, because it can be changed into another prime (144042040297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72021020108 + 72021020109.

It is an arithmetic number, because the mean of its divisors is an integer number (72021020109).

Almost surely, 2144042040217 is an apocalyptic number.

It is an amenable number.

144042040217 is a deficient number, since it is larger than the sum of its proper divisors (1).

144042040217 is an equidigital number, since it uses as much as digits as its factorization.

144042040217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7168, while the sum is 29.

Adding to 144042040217 its reverse (712040240441), we get a palindrome (856082280658).

The spelling of 144042040217 in words is "one hundred forty-four billion, forty-two million, forty thousand, two hundred seventeen".