Base | Representation |
---|---|
bin | 1011000010110101011110… |
… | …1110110110001001100000 |
3 | 1120222220002112221100012221 |
4 | 2300231113232312021200 |
5 | 3042424032134202000 |
6 | 41454324143000424 |
7 | 2362220252461300 |
oct | 260552756661140 |
9 | 46886075840187 |
10 | 12143344444000 |
11 | 3961a663a9250 |
12 | 1441565599114 |
13 | 6a1160125413 |
14 | 2dda53475600 |
15 | 160d2257361a |
hex | b0b57bb6260 |
12143344444000 has 1152 divisors, whose sum is σ = 38591678361600. Its totient is φ = 3712891392000.
The previous prime is 12143344443941. The next prime is 12143344444013. The reversal of 12143344444000 is 44444334121.
12143344444000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33088131817 + ... + 33088132183.
It is an arithmetic number, because the mean of its divisors is an integer number (33499720800).
Almost surely, 212143344444000 is an apocalyptic number.
12143344444000 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 12143344444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19295839180800).
12143344444000 is an abundant number, since it is smaller than the sum of its proper divisors (26448333917600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12143344444000 is a wasteful number, since it uses less digits than its factorization.
12143344444000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 669 (or 644 counting only the distinct ones).
The product of its (nonzero) digits is 73728, while the sum is 34.
Adding to 12143344444000 its reverse (44444334121), we get a palindrome (12187788778121).
The spelling of 12143344444000 in words is "twelve trillion, one hundred forty-three billion, three hundred forty-four million, four hundred forty-four thousand".
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