Base | Representation |
---|---|
bin | 111110111110111… |
… | …0001001010010000 |
3 | 12110021122000011100 |
4 | 1331331301022100 |
5 | 13312004003034 |
6 | 545412144400 |
7 | 103241062122 |
oct | 17575611220 |
9 | 5407560140 |
10 | 2113344144 |
11 | 994a2280a |
12 | 4ab908100 |
13 | 278ab08c2 |
14 | 160961212 |
15 | c5801099 |
hex | 7df71290 |
2113344144 has 120 divisors (see below), whose sum is σ = 6384680640. Its totient is φ = 650555136.
The previous prime is 2113344131. The next prime is 2113344161. The reversal of 2113344144 is 4414433112.
2113344144 is a `hidden beast` number, since 211 + 3 + 3 + 441 + 4 + 4 = 666.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85047 + ... + 107049.
It is an arithmetic number, because the mean of its divisors is an integer number (53205672).
Almost surely, 22113344144 is an apocalyptic number.
2113344144 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 2113344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192340320).
2113344144 is an abundant number, since it is smaller than the sum of its proper divisors (4271336496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2113344144 is a wasteful number, since it uses less digits than its factorization.
2113344144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22069 (or 22060 counting only the distinct ones).
The product of its digits is 4608, while the sum is 27.
The square root of 2113344144 is about 45971.1229360345. The cubic root of 2113344144 is about 1283.2858578640.
Adding to 2113344144 its reverse (4414433112), we get a palindrome (6527777256).
The spelling of 2113344144 in words is "two billion, one hundred thirteen million, three hundred forty-four thousand, one hundred forty-four".
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