Base | Representation |
---|---|
bin | 100000110010001001000000… |
… | …000101000101000100000000 |
3 | 200220111202212001001212201020 |
4 | 200302021000011011010000 |
5 | 122344244021030400000 |
6 | 1230352451512305440 |
7 | 42240613205564400 |
oct | 4062110005050400 |
9 | 626452761055636 |
10 | 144183127200000 |
11 | 41a397a25046a9 |
12 | 142077a56a2280 |
13 | 625b544cb0075 |
14 | 27867018a0800 |
15 | 11a08024bcba0 |
hex | 832240145100 |
144183127200000 has 1296 divisors, whose sum is σ = 559082467556928. Its totient is φ = 32889292800000.
The previous prime is 144183127199963. The next prime is 144183127200001. The reversal of 144183127200000 is 2721381441.
It is not an unprimeable number, because it can be changed into a prime (144183127200001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79615199095 + ... + 79615200905.
It is an arithmetic number, because the mean of its divisors is an integer number (431390792868).
Almost surely, 2144183127200000 is an apocalyptic number.
144183127200000 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 144183127200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279541233778464).
144183127200000 is an abundant number, since it is smaller than the sum of its proper divisors (414899340356928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144183127200000 is an frugal number, since it uses more digits than its factorization.
144183127200000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2546 (or 2505 counting only the distinct ones).
The product of its (nonzero) digits is 10752, while the sum is 33.
Adding to 144183127200000 its reverse (2721381441), we get a palindrome (144185848581441).
The spelling of 144183127200000 in words is "one hundred forty-four trillion, one hundred eighty-three billion, one hundred twenty-seven million, two hundred thousand".
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