Search a number
-
+
2042974491449 is a prime number
BaseRepresentation
bin11101101110101010110…
…001001101001100111001
321020022021101221012122112
4131232222301031030321
5231433002432211244
64202310213302105
7300412545440423
oct35565261151471
97208241835575
102042974491449
11718469927321
1228bb38034935
1311a861939638
1470c48103813
1538220bba39e
hex1dbaac4d339

2042974491449 has 2 divisors, whose sum is σ = 2042974491450. Its totient is φ = 2042974491448.

The previous prime is 2042974491407. The next prime is 2042974491451. The reversal of 2042974491449 is 9441944792402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2028824199424 + 14150292025 = 1424368^2 + 118955^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042974491449 - 236 = 1974255014713 is a prime.

It is a super-3 number, since 3×20429744914493 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2042974491451, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2042974691449) 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, 1021487245724 + 1021487245725.

It is an arithmetic number, because the mean of its divisors is an integer number (1021487245725).

Almost surely, 22042974491449 is an apocalyptic number.

It is an amenable number.

2042974491449 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042974491449 is an equidigital number, since it uses as much as digits as its factorization.

2042974491449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20901888, while the sum is 59.

The spelling of 2042974491449 in words is "two trillion, forty-two billion, nine hundred seventy-four million, four hundred ninety-one thousand, four hundred forty-nine".