Base | Representation |
---|---|
bin | 111111110110111… |
… | …0101010011011000 |
3 | 12112022220111221221 |
4 | 1333231311103120 |
5 | 13342014034430 |
6 | 552341541424 |
7 | 104045554462 |
oct | 17755652330 |
9 | 5468814857 |
10 | 2142721240 |
11 | 9aa568200 |
12 | 4b9714874 |
13 | 281bc81ba |
14 | 16480b132 |
15 | c81a557a |
hex | 7fb754d8 |
2142721240 has 96 divisors (see below), whose sum is σ = 5470577280. Its totient is φ = 753984000.
The previous prime is 2142721223. The next prime is 2142721249. The reversal of 2142721240 is 421272412.
It is a super-3 number, since 3×21427212403 (a number of 29 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2142721249) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142900 + ... + 157180.
It is an arithmetic number, because the mean of its divisors is an integer number (56985180).
Almost surely, 22142721240 is an apocalyptic number.
2142721240 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 2142721240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735288640).
2142721240 is an abundant number, since it is smaller than the sum of its proper divisors (3327856040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2142721240 is a wasteful number, since it uses less digits than its factorization.
2142721240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14345 (or 14330 counting only the distinct ones).
The product of its (nonzero) digits is 1792, while the sum is 25.
The square root of 2142721240 is about 46289.5370467236. The cubic root of 2142721240 is about 1289.2047338758.
Adding to 2142721240 its reverse (421272412), we get a palindrome (2563993652).
It can be divided in two parts, 214272 and 1240, that added together give a palindrome (215512).
The spelling of 2142721240 in words is "two billion, one hundred forty-two million, seven hundred twenty-one thousand, two hundred forty".
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