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144120144120361 is a prime number
BaseRepresentation
bin100000110001001110010101…
…111111101100101000101001
3200220021202021122021220222221
4200301032111333230220221
5122342231023343322421
61230303514042314041
742233223344335453
oct4061162577545051
9626252248256887
10144120144120361
1141a15012173772
12141b75487b8921
1362556185140c6
142783648b6b2d3
15119dd67e19841
hex831395feca29

144120144120361 has 2 divisors, whose sum is σ = 144120144120362. Its totient is φ = 144120144120360.

The previous prime is 144120144120353. The next prime is 144120144120479. The reversal of 144120144120361 is 163021441021441.

144120144120361 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., 92544765560361 + 51575378560000 = 9620019^2 + 7181600^2 .

It is a cyclic number.

It is not a de Polignac number, because 144120144120361 - 23 = 144120144120353 is a prime.

It is not a weakly prime, because it can be changed into another prime (144120144120301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72060072060180 + 72060072060181.

It is an arithmetic number, because the mean of its divisors is an integer number (72060072060181).

Almost surely, 2144120144120361 is an apocalyptic number.

It is an amenable number.

144120144120361 is a deficient number, since it is larger than the sum of its proper divisors (1).

144120144120361 is an equidigital number, since it uses as much as digits as its factorization.

144120144120361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 144120144120361 in words is "one hundred forty-four trillion, one hundred twenty billion, one hundred forty-four million, one hundred twenty thousand, three hundred sixty-one".