Base | Representation |
---|---|
bin | 111111100001010… |
… | …1010010101110000 |
3 | 12111112121112211020 |
4 | 1333002222111300 |
5 | 13331114413034 |
6 | 551255215440 |
7 | 103550431152 |
oct | 17702522560 |
9 | 5445545736 |
10 | 2131404144 |
11 | 9a4138531 |
12 | 4b5977580 |
13 | 27c764cac |
14 | 163102ad2 |
15 | c71bc249 |
hex | 7f0aa570 |
2131404144 has 80 divisors (see below), whose sum is σ = 5603641344. Its totient is φ = 697984000.
The previous prime is 2131404139. The next prime is 2131404157. The reversal of 2131404144 is 4414041312.
2131404144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759544 + ... + 762344.
Almost surely, 22131404144 is an apocalyptic number.
2131404144 is a gapful number since it is divisible by the number (24) 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 2131404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801820672).
2131404144 is an abundant number, since it is smaller than the sum of its proper divisors (3472237200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2131404144 is a wasteful number, since it uses less digits than its factorization.
2131404144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3086 (or 3080 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
The square root of 2131404144 is about 46167.1327244827. The cubic root of 2131404144 is about 1286.9310183153.
Adding to 2131404144 its reverse (4414041312), we get a palindrome (6545445456).
The spelling of 2131404144 in words is "two billion, one hundred thirty-one million, four hundred four thousand, one hundred forty-four".
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