| Base | Representation |
|---|---|
| bin | 1111011001101101… |
| … | …1001101100000000 |
| 3 | 101200010120011202000 |
| 4 | 3312123121230000 |
| 5 | 31431400100430 |
| 6 | 1522130024000 |
| 7 | 204311430606 |
| oct | 36633315400 |
| 9 | 11603504660 |
| 10 | 4134378240 |
| 11 | 1831826623 |
| 12 | 974718000 |
| 13 | 50b710c75 |
| 14 | 2b3133876 |
| 15 | 192e6ae60 |
| hex | f66d9b00 |
4134378240 has 576 divisors, whose sum is σ = 16106065920. Its totient is φ = 999751680.
The previous prime is 4134378239. The next prime is 4134378251. The reversal of 4134378240 is 428734314.
4134378240 is a `hidden beast` number, since 4 + 1 + 343 + 78 + 240 = 666.
4134378240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 4134378195 and 4134378204.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18213007 + ... + 18213233.
It is an arithmetic number, because the mean of its divisors is an integer number (27961920).
Almost surely, 24134378240 is an apocalyptic number.
4134378240 is a gapful number since it is divisible by the number (40) 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 4134378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8053032960).
4134378240 is an abundant number, since it is smaller than the sum of its proper divisors (11971687680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4134378240 is a wasteful number, since it uses less digits than its factorization.
4134378240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 305 (or 285 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 36.
The square root of 4134378240 is about 64299.1309428051. The cubic root of 4134378240 is about 1604.9816401079.
The spelling of 4134378240 in words is "four billion, one hundred thirty-four million, three hundred seventy-eight thousand, two hundred forty".
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