| Base | Representation |
|---|---|
| bin | 111111000000011… |
| … | …0011100010100000 |
| 3 | 12110100010110022100 |
| 4 | 1332000303202200 |
| 5 | 13312204442240 |
| 6 | 545441210400 |
| 7 | 103250616255 |
| oct | 17600634240 |
| 9 | 5410113270 |
| 10 | 2114140320 |
| 11 | 995416a06 |
| 12 | 4b0030a00 |
| 13 | 278ccc106 |
| 14 | 160acb42c |
| 15 | c590be30 |
| hex | 7e0338a0 |
2114140320 has 144 divisors (see below), whose sum is σ = 7350891912. Its totient is φ = 553113600.
The previous prime is 2114140307. The next prime is 2114140321. The reversal of 2114140320 is 230414112.
It can be written as a sum of positive squares in 4 ways, for example, as 1807610256 + 306530064 = 42516^2 + 17508^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2114140293 and 2114140302.
It is not an unprimeable number, because it can be changed into a prime (2114140321) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 62470 + ... + 90170.
Almost surely, 22114140320 is an apocalyptic number.
2114140320 is a gapful number since it is divisible by the number (20) 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 2114140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675445956).
2114140320 is an abundant number, since it is smaller than the sum of its proper divisors (5236751592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2114140320 is a wasteful number, since it uses less digits than its factorization.
2114140320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27775 (or 27764 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 2114140320 is about 45979.7816436746. The cubic root of 2114140320 is about 1283.4469916015.
Adding to 2114140320 its reverse (230414112), we get a palindrome (2344554432).
The spelling of 2114140320 in words is "two billion, one hundred fourteen million, one hundred forty thousand, three hundred twenty".
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