Search a number
-
+
2265440461241 is a prime number
BaseRepresentation
bin100000111101110110110…
…001100010000110111001
322000120111102220102000012
4200331312301202012321
5244104110224224431
64452421243151305
7322446504124556
oct40756661420671
98016442812005
102265440461241
117a384a098101
12307083515535
131358264a9359
147b90dbbda2d
153dde161322b
hex20f76c621b9

2265440461241 has 2 divisors, whose sum is σ = 2265440461242. Its totient is φ = 2265440461240.

The previous prime is 2265440461231. The next prime is 2265440461307. The reversal of 2265440461241 is 1421640445622.

2265440461241 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., 1584650451241 + 680790010000 = 1258829^2 + 825100^2 .

It is a cyclic number.

It is not a de Polignac number, because 2265440461241 - 222 = 2265436266937 is a prime.

It is not a weakly prime, because it can be changed into another prime (2265440461231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1132720230620 + 1132720230621.

It is an arithmetic number, because the mean of its divisors is an integer number (1132720230621).

Almost surely, 22265440461241 is an apocalyptic number.

It is an amenable number.

2265440461241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2265440461241 is an equidigital number, since it uses as much as digits as its factorization.

2265440461241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 368640, while the sum is 41.

The spelling of 2265440461241 in words is "two trillion, two hundred sixty-five billion, four hundred forty million, four hundred sixty-one thousand, two hundred forty-one".