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4231116000 = 2536531451
BaseRepresentation
bin1111110000110001…
…1011010011100000
3101220212120222000000
43330030123103200
532131131203000
61535503300000
7206564615106
oct37414332340
911825528000
104231116000
11188139a091
129a0baa600
13525781947
142c1d15c76
1519b6c9000
hexfc31b4e0

4231116000 has 336 divisors, whose sum is σ = 15597389808. Its totient is φ = 1127520000.

The previous prime is 4231115971. The next prime is 4231116007. The reversal of 4231116000 is 6111324.

It is a happy number.

4231116000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4231116007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2915275 + ... + 2916725.

It is an arithmetic number, because the mean of its divisors is an integer number (46420803).

Almost surely, 24231116000 is an apocalyptic number.

4231116000 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 4231116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7798694904).

4231116000 is an abundant number, since it is smaller than the sum of its proper divisors (11366273808).

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

4231116000 is an equidigital number, since it uses as much as digits as its factorization.

4231116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4231116000 is about 65047.0291404611. The cubic root of 4231116000 is about 1617.4032472086.

Adding to 4231116000 its reverse (6111324), we get a palindrome (4237227324).

It can be divided in two parts, 42311 and 16000, that added together give a triangular number (58311 = T341).

The spelling of 4231116000 in words is "four billion, two hundred thirty-one million, one hundred sixteen thousand".