Base | Representation |
---|---|
bin | 100000110100010010110110… |
… | …010101010001000011111000 |
3 | 200221000220220022100100122101 |
4 | 200310102312111101003320 |
5 | 122404210133322334000 |
6 | 1230544451013233144 |
7 | 42254403125154121 |
oct | 4064226625210370 |
9 | 627026808310571 |
10 | 144331140043000 |
11 | 41a96546938339 |
12 | 142304129327b4 |
13 | 626c4a2960a81 |
14 | 278d94337b048 |
15 | 11a45b68c4e6a |
hex | 8344b65510f8 |
144331140043000 has 128 divisors (see below), whose sum is σ = 343432447488000. Its totient is φ = 56759398272000.
The previous prime is 144331140042997. The next prime is 144331140043009. The reversal of 144331140043000 is 340041133441.
It is a happy number.
It is a super-2 number, since 2×1443311400430002 (a number of 29 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 144331140043000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144331140043009) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129803401 + ... + 130910599.
It is an arithmetic number, because the mean of its divisors is an integer number (2683065996000).
Almost surely, 2144331140043000 is an apocalyptic number.
144331140043000 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 144331140043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171716223744000).
144331140043000 is an abundant number, since it is smaller than the sum of its proper divisors (199101307445000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144331140043000 is a wasteful number, since it uses less digits than its factorization.
144331140043000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1109418 (or 1109404 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 28.
Adding to 144331140043000 its reverse (340041133441), we get a palindrome (144671181176441).
The spelling of 144331140043000 in words is "one hundred forty-four trillion, three hundred thirty-one billion, one hundred forty million, forty-three thousand".
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