Search a number
-
+
2140584754969 is a prime number
BaseRepresentation
bin11111001001100100110…
…010110011111100011001
321120122020000212100201201
4133021210302303330121
5240032404144124334
64315212052114201
7310436454130243
oct37114462637431
97518200770651
102140584754969
117558a931aaa1
122a6a39605961
13126b19314c0b
1475867a17093
153aa35209c14
hex1f264cb3f19

2140584754969 has 2 divisors, whose sum is σ = 2140584754970. Its totient is φ = 2140584754968.

The previous prime is 2140584754967. The next prime is 2140584755027. The reversal of 2140584754969 is 9694574850412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1753810219225 + 386774535744 = 1324315^2 + 621912^2 .

It is a cyclic number.

It is not a de Polignac number, because 2140584754969 - 21 = 2140584754967 is a prime.

It is a super-3 number, since 3×21405847549693 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2140584754967, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2140584754969.

It is not a weakly prime, because it can be changed into another prime (2140584754967) 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, 1070292377484 + 1070292377485.

It is an arithmetic number, because the mean of its divisors is an integer number (1070292377485).

Almost surely, 22140584754969 is an apocalyptic number.

It is an amenable number.

2140584754969 is a deficient number, since it is larger than the sum of its proper divisors (1).

2140584754969 is an equidigital number, since it uses as much as digits as its factorization.

2140584754969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 87091200, while the sum is 64.

The spelling of 2140584754969 in words is "two trillion, one hundred forty billion, five hundred eighty-four million, seven hundred fifty-four thousand, nine hundred sixty-nine".