Search a number
-
+
42204056241 = 323761803749
BaseRepresentation
bin100111010011100011…
…101100101010110001
311000221021101012021010
4213103203230222301
51142413214244431
631215511221133
73022566362514
oct472343545261
9130837335233
1042204056241
11169980a9126
12821a0777a9
133c978a4259
1420851c2d7b
151170255846
hex9d38ecab1

42204056241 has 16 divisors (see below), whose sum is σ = 58795920000. Its totient is φ = 26877333120.

The previous prime is 42204056189. The next prime is 42204056263. The reversal of 42204056241 is 14265040224.

It is not a de Polignac number, because 42204056241 - 27 = 42204056113 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42204056199 and 42204056208.

It is not an unprimeable number, because it can be changed into a prime (42204056291) 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 15 ways as a sum of consecutive naturals, for example, 349366 + ... + 454383.

It is an arithmetic number, because the mean of its divisors is an integer number (3674745000).

Almost surely, 242204056241 is an apocalyptic number.

It is an amenable number.

42204056241 is a deficient number, since it is larger than the sum of its proper divisors (16591863759).

42204056241 is a wasteful number, since it uses less digits than its factorization.

42204056241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804536.

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 42204056241 its reverse (14265040224), we get a palindrome (56469096465).

The spelling of 42204056241 in words is "forty-two billion, two hundred four million, fifty-six thousand, two hundred forty-one".

Divisors: 1 3 23 69 761 2283 17503 52509 803749 2411247 18486227 55458681 611652989 1834958967 14068018747 42204056241