Search a number
-
+
24304420140 = 2235711133710937
BaseRepresentation
bin10110101000101010…
…000000010100101100
32022201211001110121220
4112220222000110230
5344233412421030
615055412023340
71520200106520
oct265052002454
968654043556
1024304420140
11a342236640
124863601b50
1323a43b3cc0
141267c3dd80
15973ac4a10
hex5a8a8052c

24304420140 has 384 divisors, whose sum is σ = 93849090048. Its totient is φ = 4535377920.

The previous prime is 24304420121. The next prime is 24304420159. The reversal of 24304420140 is 4102440342.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (24304420121) and next prime (24304420159).

It is a self number, because there is not a number n which added to its sum of digits gives 24304420140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2216752 + ... + 2227688.

It is an arithmetic number, because the mean of its divisors is an integer number (244398672).

Almost surely, 224304420140 is an apocalyptic number.

24304420140 is a gapful number since it is divisible by the number (20) 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 24304420140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46924545024).

24304420140 is an abundant number, since it is smaller than the sum of its proper divisors (69544669908).

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

24304420140 is a wasteful number, since it uses less digits than its factorization.

24304420140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11017 (or 11015 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 24304420140 its reverse (4102440342), we get a palindrome (28406860482).

It can be divided in two parts, 24304 and 420140, that added together give a palindrome (444444).

The spelling of 24304420140 in words is "twenty-four billion, three hundred four million, four hundred twenty thousand, one hundred forty".