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242005404133 = 2571429658961
BaseRepresentation
bin1110000101100010100…
…1010110100111100101
3212010122202212022022001
43201120221112213211
512431111340413013
6303101543405301
723325055665043
oct3413051264745
9763582768261
10242005404133
11936a7818029
123aa9b153831
1319a899bb7ac
14b9dab53393
156466039ddd
hex3858a569e5

242005404133 has 8 divisors (see below), whose sum is σ = 243117440280. Its totient is φ = 240894689280.

The previous prime is 242005404083. The next prime is 242005404161. The reversal of 242005404133 is 331404500242.

It is a happy number.

242005404133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 61480690209 + 180524713924 = 247953^2 + 424882^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 242005404133 - 29 = 242005403621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242005404733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37773 + ... + 696733.

It is an arithmetic number, because the mean of its divisors is an integer number (30389680035).

Almost surely, 2242005404133 is an apocalyptic number.

It is an amenable number.

242005404133 is a deficient number, since it is larger than the sum of its proper divisors (1112036147).

242005404133 is a wasteful number, since it uses less digits than its factorization.

242005404133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660647.

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 242005404133 its reverse (331404500242), we get a palindrome (573409904375).

The spelling of 242005404133 in words is "two hundred forty-two billion, five million, four hundred four thousand, one hundred thirty-three".

Divisors: 1 257 1429 367253 658961 169352977 941655269 242005404133