128071200
128,071,200 is an even composite number composed of six prime numbers multiplied together.
128071200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 128071200:
25 × 3 × 52 × 17 × 43 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 43 × 73)See below for interesting mathematical facts about the number 128071200 from the Numbermatics database.
Names of 128071200
- Cardinal: 128071200 can be written as One hundred twenty-eight million, seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.280712 × 108
Factors of 128071200
Divisors of 128071200
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 43 48 50 51 60 68 73 75 80 85 86 96 100 102 120 129 136 146 150 160 170 172 200 204 215 219 240 255 258 272 292 300 340 344 365 400 408 425 430 438 480 510 516 544 584 600 645 680 688 730 731 800 816 850 860 876 1020 1032 1075 1095 1168 1200 1241 1275 1290 1360 1376 1460 1462 1632 1700 1720 1752 1825 2040 2064 2150 2190 2193 2336 2400 2482 2550 2580 2720 2920 2924 3139 3225 3400 3440 3504 3650 3655 3723 4080 4128 4300 4380 4386 4964 5100 5160 5475 5840 5848 6205 6278 6450 6800 6880 7008 7300 7310 7446 8160 8600 8760 8772 9417 9928 10200 10320 10950 10965 11680 11696 12410 12556 12900 13600 14600 14620 14892 15695 17200 17520 17544 18275 18615 18834 19856 20400 20640 21900 21930 23392 24820 25112 25800 29200 29240 29784 31025 31390 34400 35040 35088 36550 37230 37668 39712 40800 43800 43860 47085 49640 50224 51600 53363 54825 58400 58480 59568 62050 62780 70176 73100 74460 75336 78475 87600 87720 93075 94170 99280 100448 103200 106726 109650 116960 119136 124100 125560 146200 148920 150672 156950 160089 175200 175440 186150 188340 198560 213452 219300 235425 248200 251120 266815 292400 297840 301344 313900 320178 350880 372300 376680 426904 438600 470850 496400 502240 533630 584800 595680 627800 640356 744600 753360 800445 853808 877200 941700 992800 1067260 1255600 1280712 1334075 1489200 1506720 1600890 1707616 1754400 1883400 2134520 2511200 2561424 2668150 2978400 3201780 3766800 4002225 4269040 5122848 5336300 6403560 7533600 8004450 8538080 10672600 12807120 16008900 21345200 25614240 32017800 42690400 64035600 128071200
- Sum of all divisors σ(n): 457845696
- Sum of proper divisors (its aliquot sum) s(n): 329774496
- 128071200 is an abundant number, because the sum of its proper divisors (329774496) is greater than itself. Its abundance is 201703296
Bases of 128071200
- Binary: 1111010001000110110001000002
- Hexadecimal: 0x7A23620
- Base-36: 2490DC
Squares and roots of 128071200
- 128071200 squared (1280712002) is 16402232269440000
- 128071200 cubed (1280712003) is 2100653569425904128000000
-
The
square root of 128071200 is 11316.8546867053 -
The
cube root of 128071200 is 504.0618467817
Scales and comparisons
How big is 128071200?- 128,071,200 seconds is equal to 4 years, 3 weeks, 5 days, 7 hours, 20 minutes.
-
To count from 1 to 128,071,200 would take you about six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 128071200 cubic inches would be around 42 feet tall.
Recreational maths with 128071200
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 128071200 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 128071200 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/128071200/
Chicago style:
Numbermatics. 2024. "Number 128071200 - Facts about the integer". https://numbermatics.com/n/128071200/
The information we have on file for 128071200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 128071200, math, Factors of 128071200, curriculum, school, college, exams, university, Prime factorization of 128071200, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-eight million, seventy-one thousand, two hundred.