Search a number
-
+
240285461584849 is a prime number
BaseRepresentation
bin110110101000100111010001…
…100101010001101111010001
31011111210001202221220002022121
4312220213101211101233101
5222443314111131203344
62211013341150134241
7101420023510664002
oct6650472145215721
91144701687802277
10240285461584849
116a62054592118a
1222b48b22ab1381
13a40ca8b660c15
144349c424531a9
151cba599e31684
hexda89d1951bd1

240285461584849 has 2 divisors, whose sum is σ = 240285461584850. Its totient is φ = 240285461584848.

The previous prime is 240285461584837. The next prime is 240285461584939. The reversal of 240285461584849 is 948485164582042.

240285461584849 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., 204112454224849 + 36173007360000 = 14286793^2 + 6014400^2 .

It is a cyclic number.

It is not a de Polignac number, because 240285461584849 - 239 = 239735705770961 is a prime.

It is not a weakly prime, because it can be changed into another prime (240285461581849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120142730792424 + 120142730792425.

It is an arithmetic number, because the mean of its divisors is an integer number (120142730792425).

Almost surely, 2240285461584849 is an apocalyptic number.

It is an amenable number.

240285461584849 is a deficient number, since it is larger than the sum of its proper divisors (1).

240285461584849 is an equidigital number, since it uses as much as digits as its factorization.

240285461584849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 707788800, while the sum is 70.

The spelling of 240285461584849 in words is "two hundred forty trillion, two hundred eighty-five billion, four hundred sixty-one million, five hundred eighty-four thousand, eight hundred forty-nine".