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144314120033 is a prime number
BaseRepresentation
bin1000011001100111001…
…0101011011101100001
3111210111111110212212122
42012121302223131201
54331023403320113
6150144052234025
713266144531506
oct2063162533541
9453444425778
10144314120033
11562266163a6
1223b7660b915
13107bb5b6445
146db058d4ad
153b49844408
hex2199cab761

144314120033 has 2 divisors, whose sum is σ = 144314120034. Its totient is φ = 144314120032.

The previous prime is 144314120029. The next prime is 144314120053. The reversal of 144314120033 is 330021413441.

It is a happy number.

144314120033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124419863824 + 19894256209 = 352732^2 + 141047^2 .

It is a cyclic number.

It is not a de Polignac number, because 144314120033 - 22 = 144314120029 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 = 144314119984 and 144314120011.

It is not a weakly prime, because it can be changed into another prime (144314120053) 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, 72157060016 + 72157060017.

It is an arithmetic number, because the mean of its divisors is an integer number (72157060017).

Almost surely, 2144314120033 is an apocalyptic number.

It is an amenable number.

144314120033 is a deficient number, since it is larger than the sum of its proper divisors (1).

144314120033 is an equidigital number, since it uses as much as digits as its factorization.

144314120033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 144314120033 its reverse (330021413441), we get a palindrome (474335533474).

The spelling of 144314120033 in words is "one hundred forty-four billion, three hundred fourteen million, one hundred twenty thousand, thirty-three".