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40042444020361 is a prime number
BaseRepresentation
bin10010001101011000110111…
…01001101101101010001001
312020210000112202211122110121
421012230123221231222021
520222023411132122421
6221055124514543241
711301654043212226
oct1106543351555211
9166700482748417
1040042444020361
11118389a5821852
1245a85b1597b21
131945ca8aa9403
149c60c94c494d
154968e1072d41
hex246b1ba6da89

40042444020361 has 2 divisors, whose sum is σ = 40042444020362. Its totient is φ = 40042444020360.

The previous prime is 40042444020349. The next prime is 40042444020427. The reversal of 40042444020361 is 16302044424004.

40042444020361 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., 39613869542025 + 428574478336 = 6293955^2 + 654656^2 .

It is a cyclic number.

It is not a de Polignac number, because 40042444020361 - 217 = 40042443889289 is a prime.

It is not a weakly prime, because it can be changed into another prime (40042444060361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20021222010180 + 20021222010181.

It is an arithmetic number, because the mean of its divisors is an integer number (20021222010181).

Almost surely, 240042444020361 is an apocalyptic number.

It is an amenable number.

40042444020361 is a deficient number, since it is larger than the sum of its proper divisors (1).

40042444020361 is an equidigital number, since it uses as much as digits as its factorization.

40042444020361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 40042444020361 its reverse (16302044424004), we get a palindrome (56344488444365).

The spelling of 40042444020361 in words is "forty trillion, forty-two billion, four hundred forty-four million, twenty thousand, three hundred sixty-one".