Base | Representation |
---|---|
bin | 100000110001011000011111… |
… | …100111110010011010111000 |
3 | 200220022210102012112120011101 |
4 | 200301120133213302122320 |
5 | 122342420334004334000 |
6 | 1230312515340141144 |
7 | 42234060415551226 |
oct | 4061303747623270 |
9 | 626283365476141 |
10 | 144131043043000 |
11 | 41a196a5344652 |
12 | 141b968a8377b4 |
13 | 625666450b760 |
14 | 2783da0449b16 |
15 | 119e2a4b8ee6a |
hex | 83161f9f26b8 |
144131043043000 has 256 divisors, whose sum is σ = 375811083648000. Its totient is φ = 51372082944000.
The previous prime is 144131043042989. The next prime is 144131043043051. The reversal of 144131043043000 is 340340131441.
It is a happy number.
144131043043000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 144131043043000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1990146790 + ... + 1990219210.
It is an arithmetic number, because the mean of its divisors is an integer number (1468012045500).
Almost surely, 2144131043043000 is an apocalyptic number.
144131043043000 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 144131043043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187905541824000).
144131043043000 is an abundant number, since it is smaller than the sum of its proper divisors (231680040605000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144131043043000 is a wasteful number, since it uses less digits than its factorization.
144131043043000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 77763 (or 77749 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 28.
Adding to 144131043043000 its reverse (340340131441), we get a palindrome (144471383174441).
The spelling of 144131043043000 in words is "one hundred forty-four trillion, one hundred thirty-one billion, forty-three million, forty-three thousand".
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