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440413323313 is a prime number
BaseRepresentation
bin1100110100010101010…
…11100000000000110001
31120002210011100220111011
412122022223200000301
524203431302321223
6534153441550521
743550565324025
oct6321253400061
91502704326434
10440413323313
1115a861926357
1271431645441
13326b92185c2
141745d602385
15b6c982680d
hex668aae0031

440413323313 has 2 divisors, whose sum is σ = 440413323314. Its totient is φ = 440413323312.

The previous prime is 440413323239. The next prime is 440413323331. The reversal of 440413323313 is 313323314044.

Together with next prime (440413323331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 392368190449 + 48045132864 = 626393^2 + 219192^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-440413323313 is a prime.

It is not a weakly prime, because it can be changed into another prime (440413323353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 220206661656 + 220206661657.

It is an arithmetic number, because the mean of its divisors is an integer number (220206661657).

Almost surely, 2440413323313 is an apocalyptic number.

It is an amenable number.

440413323313 is a deficient number, since it is larger than the sum of its proper divisors (1).

440413323313 is an equidigital number, since it uses as much as digits as its factorization.

440413323313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 440413323313 its reverse (313323314044), we get a palindrome (753736637357).

The spelling of 440413323313 in words is "four hundred forty billion, four hundred thirteen million, three hundred twenty-three thousand, three hundred thirteen".