40228320
40,228,320 is an even composite number composed of six prime numbers multiplied together.
40228320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 40228320:
25 × 3 × 5 × 11 × 19 × 401
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 19 × 401)See below for interesting mathematical facts about the number 40228320 from the Numbermatics database.
Names of 40228320
- Cardinal: 40228320 can be written as Forty million, two hundred twenty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.022832 × 107
Factors of 40228320
Divisors of 40228320
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 32 33 38 40 44 48 55 57 60 66 76 80 88 95 96 110 114 120 132 152 160 165 176 190 209 220 228 240 264 285 304 330 352 380 401 418 440 456 480 528 570 608 627 660 760 802 836 880 912 1045 1056 1140 1203 1254 1320 1520 1604 1672 1760 1824 2005 2090 2280 2406 2508 2640 3040 3135 3208 3344 4010 4180 4411 4560 4812 5016 5280 6015 6270 6416 6688 7619 8020 8360 8822 9120 9624 10032 12030 12540 12832 13233 15238 16040 16720 17644 19248 20064 22055 22857 24060 25080 26466 30476 32080 33440 35288 38095 38496 44110 45714 48120 50160 52932 60952 64160 66165 70576 76190 83809 88220 91428 96240 100320 105864 114285 121904 132330 141152 152380 167618 176440 182856 192480 211728 228570 243808 251427 264660 304760 335236 352880 365712 419045 423456 457140 502854 529320 609520 670472 705760 731424 838090 914280 1005708 1058640 1219040 1257135 1340944 1676180 1828560 2011416 2117280 2514270 2681888 3352360 3657120 4022832 5028540 6704720 8045664 10057080 13409440 20114160 40228320
- Sum of all divisors σ(n): 145877760
- Sum of proper divisors (its aliquot sum) s(n): 105649440
- 40228320 is an abundant number, because the sum of its proper divisors (105649440) is greater than itself. Its abundance is 65421120
Bases of 40228320
- Binary: 100110010111010101111000002
- Hexadecimal: 0x265D5E0
- Base-36: NY8DC
Squares and roots of 40228320
- 40228320 squared (402283202) is 1618317730022400
- 40228320 cubed (402283203) is 65102203505014714368000
-
The
square root of 40228320 is 6342.5799167215 -
The
cube root of 40228320 is 342.6446580229
Scales and comparisons
How big is 40228320?- 40,228,320 seconds is equal to 1 year, 14 weeks, 3 days, 14 hours, 32 minutes.
-
To count from 1 to 40,228,320 would take you about forty-seven weeks!
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 40228320 cubic inches would be around 28.6 feet tall.
Recreational maths with 40228320
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 40228320 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 40228320 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/40228320/
Chicago style:
Numbermatics. 2024. "Number 40228320 - Facts about the integer". https://numbermatics.com/n/40228320/
The information we have on file for 40228320 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 40228320, math, Factors of 40228320, curriculum, school, college, exams, university, Prime factorization of 40228320, STEM, science, technology, engineering, physics, economics, calculator, forty million, two hundred twenty-eight thousand, three hundred twenty.