Base | Representation |
---|---|
bin | 111111000000111… |
… | …1100101101000000 |
3 | 12110100200200101121 |
4 | 1332001330231000 |
5 | 13312244040000 |
6 | 545451442024 |
7 | 103253305051 |
oct | 17601745500 |
9 | 5410620347 |
10 | 2114440000 |
11 | 995601082 |
12 | 4b0156314 |
13 | 2790a563a |
14 | 160b68728 |
15 | c596ab1a |
hex | 7e07cb40 |
2114440000 has 70 divisors (see below), whose sum is σ = 5243223194. Its totient is φ = 845760000.
The previous prime is 2114439959. The next prime is 2114440007. The reversal of 2114440000 is 444112.
2114440000 is nontrivially palindromic in base 3.
It can be written as a sum of positive squares in 5 ways, for example, as 660695616 + 1453744384 = 25704^2 + 38128^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2114440007) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13570 + ... + 66430.
Almost surely, 22114440000 is an apocalyptic number.
2114440000 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 2114440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621611597).
2114440000 is an abundant number, since it is smaller than the sum of its proper divisors (3128783194).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2114440000 is an frugal number, since it uses more digits than its factorization.
2114440000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 52893 (or 52868 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
The square root of 2114440000 is about 45983.0403518515. The cubic root of 2114440000 is about 1283.5076317300.
Adding to 2114440000 its reverse (444112), we get a palindrome (2114884112).
The spelling of 2114440000 in words is "two billion, one hundred fourteen million, four hundred forty thousand".
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