Search a number
-
+
12303431140000 = 2554711134791283
BaseRepresentation
bin1011001100001001110110…
…1001001000001010100000
31121120012022021022002202211
42303002131221020022200
53103034411332440000
642100041312251504
72406615331106440
oct263023551101240
947505267262684
1012303431140000
113a139461463a0
1214685a2240b94
136b3293328140
143076bc6b6120
151650919387ba
hexb309da482a0

12303431140000 has 960 divisors, whose sum is σ = 40756521738240. Its totient is φ = 3529704960000.

The previous prime is 12303431139971. The next prime is 12303431140037. The reversal of 12303431140000 is 4113430321.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9589579359 + ... + 9589580641.

It is an arithmetic number, because the mean of its divisors is an integer number (42454710144).

Almost surely, 212303431140000 is an apocalyptic number.

12303431140000 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 12303431140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20378260869120).

12303431140000 is an abundant number, since it is smaller than the sum of its proper divisors (28453090598240).

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

12303431140000 is a wasteful number, since it uses less digits than its factorization.

12303431140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12303431140000 its reverse (4113430321), we get a palindrome (12307544570321).

The spelling of 12303431140000 in words is "twelve trillion, three hundred three billion, four hundred thirty-one million, one hundred forty thousand".