| Base | Representation |
|---|---|
| bin | 111111110101110… |
| … | …0101100100000000 |
| 3 | 12112021210121100000 |
| 4 | 1333223211210000 |
| 5 | 13341341214410 |
| 6 | 552321200000 |
| 7 | 104040553125 |
| oct | 17753454400 |
| 9 | 5467717300 |
| 10 | 2142132480 |
| 11 | 9aa1a5924 |
| 12 | 4b9490000 |
| 13 | 281a50217 |
| 14 | 1646d674c |
| 15 | c80dadc0 |
| hex | 7fae5900 |
2142132480 has 432 divisors, whose sum is σ = 7874665344. Its totient is φ = 557383680.
The previous prime is 2142132469. The next prime is 2142132491. The reversal of 2142132480 is 842312412.
2142132480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (2142132469) and next prime (2142132491).
It is a tau number, because it is divible by the number of its divisors (432).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22083792 + ... + 22083888.
It is an arithmetic number, because the mean of its divisors is an integer number (18228392).
Almost surely, 22142132480 is an apocalyptic number.
2142132480 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 2142132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937332672).
2142132480 is an abundant number, since it is smaller than the sum of its proper divisors (5732532864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2142132480 is an frugal number, since it uses more digits than its factorization.
2142132480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 204 (or 178 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
The square root of 2142132480 is about 46283.1770733168. The cubic root of 2142132480 is about 1289.0866438982.
Adding to 2142132480 its reverse (842312412), we get a palindrome (2984444892).
The spelling of 2142132480 in words is "two billion, one hundred forty-two million, one hundred thirty-two thousand, four hundred eighty".
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