Search a number
-
+
42440000424 = 23310117508251
BaseRepresentation
bin100111100001100111…
…110000001110101000
311001112201100101211120
4213201213300032220
51143404120003144
631255140255240
73031463023443
oct474147601650
9131481311746
1042440000424
1116aa9301518
1282850a1520
134004734cb3
1420a868065a
151185d0ee19
hex9e19f03a8

42440000424 has 32 divisors (see below), whose sum is σ = 107150502240. Its totient is φ = 14006600000.

The previous prime is 42440000423. The next prime is 42440000429. The reversal of 42440000424 is 42400004424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42440000394 and 42440000403.

It is not an unprimeable number, because it can be changed into a prime (42440000423) 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 7 ways as a sum of consecutive naturals, for example, 8751702 + ... + 8756549.

It is an arithmetic number, because the mean of its divisors is an integer number (3348453195).

Almost surely, 242440000424 is an apocalyptic number.

It is an amenable number.

42440000424 is an abundant number, since it is smaller than the sum of its proper divisors (64710501816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42440000424 is a wasteful number, since it uses less digits than its factorization.

42440000424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17508361 (or 17508357 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42440000424 its reverse (42400004424), we get a palindrome (84840004848).

The spelling of 42440000424 in words is "forty-two billion, four hundred forty million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 606 808 1212 2424 17508251 35016502 52524753 70033004 105049506 140066008 210099012 420198024 1768333351 3536666702 5305000053 7073333404 10610000106 14146666808 21220000212 42440000424