Base | Representation |
---|---|
bin | 111111110101100… |
… | …1101100110001000 |
3 | 12112021121121200011 |
4 | 1333223031212020 |
5 | 13341330044222 |
6 | 552315121304 |
7 | 104036663665 |
oct | 17753154610 |
9 | 5467547604 |
10 | 2142034312 |
11 | 9aa1390a0 |
12 | 4b9443234 |
13 | 281a17632 |
14 | 1646aca6c |
15 | c80bbc77 |
hex | 7facd988 |
2142034312 has 64 divisors (see below), whose sum is σ = 4623667200. Its totient is φ = 920082240.
The previous prime is 2142034267. The next prime is 2142034333. The reversal of 2142034312 is 2134302412.
It is a Harshad number since it is a multiple of its sum of digits (22).
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, 772753 + ... + 775519.
It is an arithmetic number, because the mean of its divisors is an integer number (72244800).
Almost surely, 22142034312 is an apocalyptic number.
2142034312 is a gapful number since it is divisible by the number (22) 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 2142034312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311833600).
2142034312 is an abundant number, since it is smaller than the sum of its proper divisors (2481632888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2142034312 is a wasteful number, since it uses less digits than its factorization.
2142034312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3266 (or 3262 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 22.
The square root of 2142034312 is about 46282.1165462428. The cubic root of 2142034312 is about 1289.0669518402.
Adding to 2142034312 its reverse (2134302412), we get a palindrome (4276336724).
The spelling of 2142034312 in words is "two billion, one hundred forty-two million, thirty-four thousand, three hundred twelve".
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