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2240444422049 is a prime number
BaseRepresentation
bin100000100110100100111…
…001001101011110100001
321221011222102110001101212
4200212210321031132201
5243201412233001144
64433125043235505
7320603205241001
oct40464471153641
97834872401355
102240444422049
11794192516979
12302268378b95
13133371a2b912
147a61c188001
153d42be7449e
hex209a4e4d7a1

2240444422049 has 2 divisors, whose sum is σ = 2240444422050. Its totient is φ = 2240444422048.

The previous prime is 2240444422031. The next prime is 2240444422057. The reversal of 2240444422049 is 9402244440422.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1680671109649 + 559773312400 = 1296407^2 + 748180^2 .

It is a cyclic number.

It is not a de Polignac number, because 2240444422049 - 240 = 1140932794273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2240444421997 and 2240444422015.

It is not a weakly prime, because it can be changed into another prime (2240444422019) 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, 1120222211024 + 1120222211025.

It is an arithmetic number, because the mean of its divisors is an integer number (1120222211025).

Almost surely, 22240444422049 is an apocalyptic number.

It is an amenable number.

2240444422049 is a deficient number, since it is larger than the sum of its proper divisors (1).

2240444422049 is an equidigital number, since it uses as much as digits as its factorization.

2240444422049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 589824, while the sum is 41.

The spelling of 2240444422049 in words is "two trillion, two hundred forty billion, four hundred forty-four million, four hundred twenty-two thousand, forty-nine".