Search a number
-
+
114430320000 = 27345417659
BaseRepresentation
bin110101010010010010…
…1000001110110000000
3101221100211211112220000
41222210211001312000
53333323130220000
6124322450520000
711160455446203
oct1524445016600
9357324745800
10114430320000
1144590a290a7
121a216596000
13aa38317729
14577775193a
152e9b020000
hex1aa4941d80

114430320000 has 400 divisors, whose sum is σ = 425566353300. Its totient is φ = 30513024000.

The previous prime is 114430319953. The next prime is 114430320013. The reversal of 114430320000 is 23034411.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6471171 + ... + 6488829.

Almost surely, 2114430320000 is an apocalyptic number.

114430320000 is a gapful number since it is divisible by the number (10) 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 114430320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212783176650).

114430320000 is an abundant number, since it is smaller than the sum of its proper divisors (311136033300).

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

114430320000 is an frugal number, since it uses more digits than its factorization.

114430320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17705 (or 17669 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 114430320000 its reverse (23034411), we get a palindrome (114453354411).

The spelling of 114430320000 in words is "one hundred fourteen billion, four hundred thirty million, three hundred twenty thousand".