Search a number
-
+
42404432241 = 32331432411913
BaseRepresentation
bin100111011111100000…
…000100100101110001
311001110020102100110110
4213133200010211301
51143321013312431
631251430051533
73030551504223
oct473740044561
9131406370413
1042404432241
1116a90218626
1282751a9ba9
133cca260732
1420a3a62413
151182b36346
hex9df804971

42404432241 has 64 divisors (see below), whose sum is σ = 62608195584. Its totient is φ = 25440307200.

The previous prime is 42404432227. The next prime is 42404432267. The reversal of 42404432241 is 14223440424.

It is not a de Polignac number, because 42404432241 - 210 = 42404431217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42404432199 and 42404432208.

It is not an unprimeable number, because it can be changed into a prime (42404432221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22165501 + ... + 22167413.

It is an arithmetic number, because the mean of its divisors is an integer number (978253056).

Almost surely, 242404432241 is an apocalyptic number.

It is an amenable number.

42404432241 is a deficient number, since it is larger than the sum of its proper divisors (20203763343).

42404432241 is a wasteful number, since it uses less digits than its factorization.

42404432241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 42404432241 its reverse (14223440424), we get a palindrome (56627872665).

The spelling of 42404432241 in words is "forty-two billion, four hundred four million, four hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 3 23 31 43 69 93 129 241 713 723 989 1333 1913 2139 2967 3999 5543 5739 7471 10363 16629 22413 30659 31089 43999 59303 82259 91977 131997 171833 177909 238349 246777 321253 461033 515499 715047 963759 1363969 1383099 1891957 2550029 4091907 5675871 7388819 7650087 10603759 14292023 19824419 22166457 31811277 42876069 58650667 59473257 175952001 328716529 455961637 614556989 986149587 1367884911 1843670967 14134810747 42404432241