Search a number
-
+
242240455440121 is a prime number
BaseRepresentation
bin110111000101000100000000…
…010010111111011011111001
31011202200221221211201220020111
4313011010000102333123321
5223222331423043040441
62215111421241224321
7102011203210402105
oct6705040022773371
91152627854656214
10242240455440121
117020466699a336
12232039a64920a1
13a52223b942308
1443b6701914905
151d0136bbaa081
hexdc51004bf6f9

242240455440121 has 2 divisors, whose sum is σ = 242240455440122. Its totient is φ = 242240455440120.

The previous prime is 242240455440001. The next prime is 242240455440127. The reversal of 242240455440121 is 121044554042242.

242240455440121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 238008959596521 + 4231495843600 = 15427539^2 + 2057060^2 .

It is a cyclic number.

It is not a de Polignac number, because 242240455440121 - 235 = 242206095701753 is a prime.

It is not a weakly prime, because it can be changed into another prime (242240455440127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121120227720060 + 121120227720061.

It is an arithmetic number, because the mean of its divisors is an integer number (121120227720061).

Almost surely, 2242240455440121 is an apocalyptic number.

It is an amenable number.

242240455440121 is a deficient number, since it is larger than the sum of its proper divisors (1).

242240455440121 is an equidigital number, since it uses as much as digits as its factorization.

242240455440121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 409600, while the sum is 40.

The spelling of 242240455440121 in words is "two hundred forty-two trillion, two hundred forty billion, four hundred fifty-five million, four hundred forty thousand, one hundred twenty-one".