Search a number
-
+
45140041009913 is a prime number
BaseRepresentation
bin10100100001101111111000…
…00111000000101011111001
312220211100100001220112111112
422100313330013000223321
521404033300444304123
6240001014253410105
712336155203540463
oct1220677407005371
9186740301815445
1045140041009913
1113423869396063
125090538499935
131c258c287c125
14b20b0aac7133
155342e1a60d78
hex290dfc1c0af9

45140041009913 has 2 divisors, whose sum is σ = 45140041009914. Its totient is φ = 45140041009912.

The previous prime is 45140041009891. The next prime is 45140041010021. The reversal of 45140041009913 is 31990014004154.

45140041009913 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., 44439182377984 + 700858631929 = 6666272^2 + 837173^2 .

It is a cyclic number.

It is not a de Polignac number, because 45140041009913 - 26 = 45140041009849 is a prime.

It is not a weakly prime, because it can be changed into another prime (45140061009913) 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, 22570020504956 + 22570020504957.

It is an arithmetic number, because the mean of its divisors is an integer number (22570020504957).

Almost surely, 245140041009913 is an apocalyptic number.

It is an amenable number.

45140041009913 is a deficient number, since it is larger than the sum of its proper divisors (1).

45140041009913 is an equidigital number, since it uses as much as digits as its factorization.

45140041009913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 45140041009913 in words is "forty-five trillion, one hundred forty billion, forty-one million, nine thousand, nine hundred thirteen".