Search a number
-
+
42233231040 = 26357111371619
BaseRepresentation
bin100111010101010010…
…111111011011000000
311001000022021102120020
4213111102333123000
51142443201343130
631222432413440
73023402353320
oct472522773300
9131008242506
1042233231040
1116a02615630
1282279a7280
133ca094a750
142089019280
151172ab9e10
hex9d54bf6c0

42233231040 has 896 divisors, whose sum is σ = 182868295680. Its totient is φ = 7973683200.

The previous prime is 42233230997. The next prime is 42233231093. The reversal of 42233231040 is 4013233224.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42233231040.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 68227851 + ... + 68228469.

It is an arithmetic number, because the mean of its divisors is an integer number (204094080).

Almost surely, 242233231040 is an apocalyptic number.

42233231040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42233231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91434147840).

42233231040 is an abundant number, since it is smaller than the sum of its proper divisors (140635064640).

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

42233231040 is a wasteful number, since it uses less digits than its factorization.

42233231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 42233231040 its reverse (4013233224), we get a palindrome (46246464264).

The spelling of 42233231040 in words is "forty-two billion, two hundred thirty-three million, two hundred thirty-one thousand, forty".