Base | Representation |
---|---|
bin | 1000011000111110011… |
… | …0000100001000010000 |
3 | 111210001120120011121122 |
4 | 2012033212010020100 |
5 | 4330201104303130 |
6 | 150115101341412 |
7 | 13261666430105 |
oct | 2061746041020 |
9 | 453046504548 |
10 | 144143041040 |
11 | 56148a971a9 |
12 | 23b29267868 |
13 | 10792016c7b |
14 | 6d95978aac |
15 | 3b397ee2e5 |
hex | 218f984210 |
144143041040 has 80 divisors (see below), whose sum is σ = 337639104000. Its totient is φ = 57226584576.
The previous prime is 144143041019. The next prime is 144143041117. The reversal of 144143041040 is 40140341441.
It is a tau number, because it is divible by the number of its divisors (80).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18865541 + ... + 18873179.
It is an arithmetic number, because the mean of its divisors is an integer number (4220488800).
Almost surely, 2144143041040 is an apocalyptic number.
144143041040 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 144143041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168819552000).
144143041040 is an abundant number, since it is smaller than the sum of its proper divisors (193496062960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144143041040 is a wasteful number, since it uses less digits than its factorization.
144143041040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9384 (or 9378 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 26.
Adding to 144143041040 its reverse (40140341441), we get a palindrome (184283382481).
The spelling of 144143041040 in words is "one hundred forty-four billion, one hundred forty-three million, forty-one thousand, forty".
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