| Base | Representation |
|---|---|
| bin | 111111110110001… |
| … | …0010001110110000 |
| 3 | 12112022010220022022 |
| 4 | 1333230102032300 |
| 5 | 13341413043230 |
| 6 | 552325131012 |
| 7 | 104042244416 |
| oct | 17754221660 |
| 9 | 5468126268 |
| 10 | 2142315440 |
| 11 | 9aa310331 |
| 12 | 4b9559a68 |
| 13 | 281ab5595 |
| 14 | 1647432b6 |
| 15 | c81251e5 |
| hex | 7fb123b0 |
2142315440 has 80 divisors (see below), whose sum is σ = 5066193600. Its totient is φ = 842366976.
The previous prime is 2142315389. The next prime is 2142315449. The reversal of 2142315440 is 445132412.
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (2142315449) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 1373381 + ... + 1374939.
It is an arithmetic number, because the mean of its divisors is an integer number (63327420).
Almost surely, 22142315440 is an apocalyptic number.
2142315440 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 2142315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533096800).
2142315440 is an abundant number, since it is smaller than the sum of its proper divisors (2923878160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2142315440 is a wasteful number, since it uses less digits than its factorization.
2142315440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1854 (or 1848 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 26.
The square root of 2142315440 is about 46285.1535592138. The cubic root of 2142315440 is about 1289.1233432434.
Adding to 2142315440 its reverse (445132412), we get a palindrome (2587447852).
It can be divided in two parts, 21423 and 15440, that added together give a palindrome (36863).
The spelling of 2142315440 in words is "two billion, one hundred forty-two million, three hundred fifteen thousand, four hundred forty".
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