Search a number
-
+
42536058241 = 1729312783227
BaseRepresentation
bin100111100111010110…
…001011110110000001
311001210102002122101111
4213213112023312001
51144103212330431
631312451203321
73034040346415
oct474726136601
9131712078344
1042536058241
1117048550146
1282b12a6541
13401b5c8341
1420b7326d45
15118e4867b1
hex9e758bd81

42536058241 has 16 divisors (see below), whose sum is σ = 48094179840. Its totient is φ = 37406557440.

The previous prime is 42536058239. The next prime is 42536058259. The reversal of 42536058241 is 14285063524.

It is a cyclic number.

It is not a de Polignac number, because 42536058241 - 21 = 42536058239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42536058194 and 42536058203.

It is not an unprimeable number, because it can be changed into a prime (42536058641) 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, 1376331 + ... + 1406896.

It is an arithmetic number, because the mean of its divisors is an integer number (3005886240).

Almost surely, 242536058241 is an apocalyptic number.

It is an amenable number.

42536058241 is a deficient number, since it is larger than the sum of its proper divisors (5558121599).

42536058241 is a wasteful number, since it uses less digits than its factorization.

42536058241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783304.

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 42536058241 in words is "forty-two billion, five hundred thirty-six million, fifty-eight thousand, two hundred forty-one".

Divisors: 1 17 29 31 493 527 899 15283 2783227 47314859 80713583 86280037 1372130911 1466760629 2502121073 42536058241