| Base | Representation |
|---|---|
| bin | 111011111111100111… |
| … | …1001100010000000000 |
| 3 | 110022112211002022002000 |
| 4 | 1313333033030100000 |
| 5 | 4102324033132000 |
| 6 | 135104143224000 |
| 7 | 12210452556261 |
| oct | 1677717142000 |
| 9 | 408484068060 |
| 10 | 128836224000 |
| 11 | 4a703764a90 |
| 12 | 20b76ba8000 |
| 13 | c1c2a54293 |
| 14 | 6342ac8968 |
| 15 | 3540ad1000 |
| hex | 1dff3cc400 |
128836224000 has 704 divisors, whose sum is σ = 519617030400. Its totient is φ = 31223808000.
The previous prime is 128836223993. The next prime is 128836224001. The reversal of 128836224000 is 422638821.
128836224000 is a `hidden beast` number, since 1 + 28 + 8 + 3 + 622 + 4 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (704).
It is a super-2 number, since 2×1288362240002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (128836224001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38014306 + ... + 38017694.
Almost surely, 2128836224000 is an apocalyptic number.
128836224000 is a gapful number since it is divisible by the number (10) 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 128836224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259808515200).
128836224000 is an abundant number, since it is smaller than the sum of its proper divisors (390780806400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128836224000 is a wasteful number, since it uses less digits than its factorization.
128836224000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3444 (or 3410 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
It can be divided in two parts, 128836 and 224000, that added together give a square (352836 = 5942).
The spelling of 128836224000 in words is "one hundred twenty-eight billion, eight hundred thirty-six million, two hundred twenty-four thousand".
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