| Base | Representation |
|---|---|
| bin | 1111010110110010… |
| … | …1100101101000000 |
| 3 | 101122021112011200000 |
| 4 | 3311230230231000 |
| 5 | 31420231312420 |
| 6 | 1521011400000 |
| 7 | 204102400230 |
| oct | 36554545500 |
| 9 | 11567464600 |
| 10 | 4122135360 |
| 11 | 1825924342 |
| 12 | 9705b3000 |
| 13 | 509015565 |
| 14 | 2b1667cc0 |
| 15 | 191d4d690 |
| hex | f5b2cb40 |
4122135360 has 336 divisors, whose sum is σ = 16806281856. Its totient is φ = 942077952.
The previous prime is 4122135343. The next prime is 4122135373. The reversal of 4122135360 is 635312214.
4122135360 is a `hidden beast` number, since 4 + 122 + 1 + 3 + 536 + 0 = 666.
4122135360 is digitally balanced in base 2, because in such base 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 (336).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
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, 540534 + ... + 548106.
It is an arithmetic number, because the mean of its divisors is an integer number (50018696).
Almost surely, 24122135360 is an apocalyptic number.
4122135360 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 4122135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8403140928).
4122135360 is an abundant number, since it is smaller than the sum of its proper divisors (12684146496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4122135360 is an equidigital number, since it uses as much as digits as its factorization.
4122135360 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7612 (or 7590 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 4122135360 is about 64203.8578280153. The cubic root of 4122135360 is about 1603.3958292824.
Adding to 4122135360 its reverse (635312214), we get a palindrome (4757447574).
The spelling of 4122135360 in words is "four billion, one hundred twenty-two million, one hundred thirty-five thousand, three hundred sixty".
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