Base | Representation |
---|---|
bin | 111111000000111… |
… | …1101101101010000 |
3 | 12110100200220000220 |
4 | 1332001331231100 |
5 | 13312244202422 |
6 | 545451513040 |
7 | 103253323044 |
oct | 17601755520 |
9 | 5410626026 |
10 | 2114444112 |
11 | 995604180 |
12 | 4b0158780 |
13 | 2790a7481 |
14 | 160b6a024 |
15 | c596be5c |
hex | 7e07db50 |
2114444112 has 40 divisors (see below), whose sum is σ = 5958889440. Its totient is φ = 640740480.
The previous prime is 2114444099. The next prime is 2114444147.
2114444112 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×21144441123 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
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 7 ways as a sum of consecutive naturals, for example, 2001787 + ... + 2002842.
It is an arithmetic number, because the mean of its divisors is an integer number (148972236).
Almost surely, 22114444112 is an apocalyptic number.
2114444112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
2114444112 is an abundant number, since it is smaller than the sum of its proper divisors (3844445328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2114444112 is a wasteful number, since it uses less digits than its factorization.
2114444112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4004651 (or 4004645 counting only the distinct ones).
The product of its digits is 1024, while the sum is 24.
The square root of 2114444112 is about 45983.0850639667. The cubic root of 2114444112 is about 1283.5084637517.
It can be divided in two parts, 21144 and 44112, that added together give a palindrome (65256).
The spelling of 2114444112 in words is "two billion, one hundred fourteen million, four hundred forty-four thousand, one hundred twelve".
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