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144756966241 is a prime number
BaseRepresentation
bin1000011011010000110…
…0000000001101100001
3111211122100202210200001
42012310030000031201
54332430240404431
6150300032100001
713313132624356
oct2066414001541
9454570683601
10144756966241
11564335962a8
122407a994601
131085c279c14
14701330862d
153b7366ce61
hex21b4300361

144756966241 has 2 divisors, whose sum is σ = 144756966242. Its totient is φ = 144756966240.

The previous prime is 144756966229. The next prime is 144756966247. The reversal of 144756966241 is 142669657441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136633729600 + 8123236641 = 369640^2 + 90129^2 .

It is a cyclic number.

It is not a de Polignac number, because 144756966241 - 221 = 144754869089 is a prime.

It is not a weakly prime, because it can be changed into another prime (144756966247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72378483120 + 72378483121.

It is an arithmetic number, because the mean of its divisors is an integer number (72378483121).

Almost surely, 2144756966241 is an apocalyptic number.

It is an amenable number.

144756966241 is a deficient number, since it is larger than the sum of its proper divisors (1).

144756966241 is an equidigital number, since it uses as much as digits as its factorization.

144756966241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8709120, while the sum is 55.

It can be divided in two parts, 14475 and 6966241, that added together give a triangular number (6980716 = T3736).

The spelling of 144756966241 in words is "one hundred forty-four billion, seven hundred fifty-six million, nine hundred sixty-six thousand, two hundred forty-one".