Search a number
-
+
4231140000 = 2535497727
BaseRepresentation
bin1111110000110010…
…0001001010100000
3101220212122011220220
43330030201022200
532131132440000
61535504003040
7206565045063
oct37414411240
911825564826
104231140000
11188140611a
129a1000480
1352578c849
142c1d208da
1519b6d11a0
hexfc3212a0

4231140000 has 240 divisors, whose sum is σ = 14041355328. Its totient is φ = 1115136000.

The previous prime is 4231139999. The next prime is 4231140041. The reversal of 4231140000 is 411324.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 39 ways as a sum of consecutive naturals, for example, 5819637 + ... + 5820363.

Almost surely, 24231140000 is an apocalyptic number.

4231140000 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 4231140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020677664).

4231140000 is an abundant number, since it is smaller than the sum of its proper divisors (9810215328).

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

4231140000 is an equidigital number, since it uses as much as digits as its factorization.

4231140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4231140000 is about 65047.2136221068. The cubic root of 4231140000 is about 1617.4063053146.

Adding to 4231140000 its reverse (411324), we get a palindrome (4231551324).

The spelling of 4231140000 in words is "four billion, two hundred thirty-one million, one hundred forty thousand".