Base | Representation |
---|---|
bin | 111111110010011… |
… | …0011001100100000 |
3 | 12112011110012202220 |
4 | 1333210303030200 |
5 | 13340412301222 |
6 | 552215111040 |
7 | 104016463056 |
oct | 17744631440 |
9 | 5464405686 |
10 | 2140353312 |
11 | 9a91a0139 |
12 | 4b8972480 |
13 | 281579466 |
14 | 1643921d6 |
15 | c7d88b5c |
hex | 7f933320 |
2140353312 has 96 divisors (see below), whose sum is σ = 5963352192. Its totient is φ = 669855744.
The previous prime is 2140353307. The next prime is 2140353349. The reversal of 2140353312 is 2133530412.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×21403533122 = 9162224600378738688, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
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, 793438 + ... + 796130.
It is an arithmetic number, because the mean of its divisors is an integer number (62118252).
Almost surely, 22140353312 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2140353312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981676096).
2140353312 is an abundant number, since it is smaller than the sum of its proper divisors (3822998880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2140353312 is a wasteful number, since it uses less digits than its factorization.
2140353312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3210 (or 3202 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 24.
The square root of 2140353312 is about 46263.9526197233. The cubic root of 2140353312 is about 1288.7296574243.
Adding to 2140353312 its reverse (2133530412), we get a palindrome (4273883724).
The spelling of 2140353312 in words is "two billion, one hundred forty million, three hundred fifty-three thousand, three hundred twelve".
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