| Base | Representation |
|---|---|
| bin | 111100001110000001101… |
| … | …010101000100000000000 |
| 3 | 112122121111021211120000000 |
| 4 | 330032001222220200000 |
| 5 | 1020300043102132343 |
| 6 | 12445024240000000 |
| 7 | 604656112431360 |
| oct | 74160152504000 |
| 9 | 15577437746000 |
| 10 | 4138228942848 |
| 11 | 135601639a310 |
| 12 | 56a024600000 |
| 13 | 240305792400 |
| 14 | 10441166a9a0 |
| 15 | 729a148ded3 |
| hex | 3c381aa8800 |
4138228942848 has 2304 divisors, whose sum is σ = 16989577113600. Its totient is φ = 978208358400.
The previous prime is 4138228942831. The next prime is 4138228942849. The reversal of 4138228942848 is 8482498228314.
4138228942848 is a `hidden beast` number, since 4 + 13 + 82 + 2 + 89 + 428 + 48 = 666.
It is a tau number, because it is divible by the number of its divisors (2304).
It is a super-2 number, since 2×41382289428482 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (4138228942849) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58284914653 + ... + 58284914723.
It is an arithmetic number, because the mean of its divisors is an integer number (7373948400).
Almost surely, 24138228942848 is an apocalyptic number.
4138228942848 is a gapful number since it is divisible by the number (48) 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 4138228942848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8494788556800).
4138228942848 is an abundant number, since it is smaller than the sum of its proper divisors (12851348170752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4138228942848 is an equidigital number, since it uses as much as digits as its factorization.
4138228942848 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 158 (or 107 counting only the distinct ones).
The product of its digits is 56623104, while the sum is 63.
The spelling of 4138228942848 in words is "four trillion, one hundred thirty-eight billion, two hundred twenty-eight million, nine hundred forty-two thousand, eight hundred forty-eight".
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