40228800
40,228,800 is an even composite number composed of five prime numbers multiplied together.
40228800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 40228800:
26 × 3 × 52 × 172 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 17 × 29)See below for interesting mathematical facts about the number 40228800 from the Numbermatics database.
Names of 40228800
- Cardinal: 40228800 can be written as Forty million, two hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.02288 × 107
Factors of 40228800
Divisors of 40228800
- Number of divisors d(n): 252
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 29 30 32 34 40 48 50 51 58 60 64 68 75 80 85 87 96 100 102 116 120 136 145 150 160 170 174 192 200 204 232 240 255 272 289 290 300 320 340 348 400 408 425 435 464 480 493 510 544 578 580 600 680 696 725 800 816 850 867 870 928 960 986 1020 1088 1156 1160 1200 1275 1360 1392 1445 1450 1479 1600 1632 1700 1734 1740 1856 1972 2040 2175 2312 2320 2400 2465 2550 2720 2784 2890 2900 2958 3264 3400 3468 3480 3944 4080 4335 4350 4624 4640 4800 4930 5100 5440 5568 5780 5800 5916 6800 6936 6960 7225 7395 7888 8160 8381 8670 8700 9248 9280 9860 10200 11560 11600 11832 12325 13600 13872 13920 14450 14790 15776 16320 16762 17340 17400 18496 19720 20400 21675 23120 23200 23664 24650 25143 27200 27744 27840 28900 29580 31552 33524 34680 34800 36975 39440 40800 41905 43350 46240 46400 47328 49300 50286 55488 57800 59160 67048 69360 69600 73950 78880 81600 83810 86700 92480 94656 98600 100572 115600 118320 125715 134096 138720 139200 147900 157760 167620 173400 197200 201144 209525 231200 236640 251430 268192 277440 295800 335240 346800 394400 402288 419050 462400 473280 502860 536384 591600 628575 670480 693600 788800 804576 838100 1005720 1183200 1257150 1340960 1387200 1609152 1676200 2011440 2366400 2514300 2681920 3352400 4022880 5028600 6704800 8045760 10057200 13409600 20114400 40228800
- Sum of all divisors σ(n): 145039080
- Sum of proper divisors (its aliquot sum) s(n): 104810280
- 40228800 is an abundant number, because the sum of its proper divisors (104810280) is greater than itself. Its abundance is 64581480
Bases of 40228800
- Binary: 100110010111010111110000002
- Hexadecimal: 0x265D7C0
- Base-36: NY8QO
Squares and roots of 40228800
- 40228800 squared (402288002) is 1618356349440000
- 40228800 cubed (402288003) is 65104533910351872000000
-
The
square root of 40228800 is 6342.6177561003 -
The
cube root of 40228800 is 342.6460208171
Scales and comparisons
How big is 40228800?- 40,228,800 seconds is equal to 1 year, 14 weeks, 3 days, 14 hours, 40 minutes.
-
To count from 1 to 40,228,800 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 40228800 cubic inches would be around 28.6 feet tall.
Recreational maths with 40228800
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 40228800 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 40228800 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/40228800/
Chicago style:
Numbermatics. 2024. "Number 40228800 - Facts about the integer". https://numbermatics.com/n/40228800/
The information we have on file for 40228800 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 40228800, math, Factors of 40228800, curriculum, school, college, exams, university, Prime factorization of 40228800, STEM, science, technology, engineering, physics, economics, calculator, forty million, two hundred twenty-eight thousand, eight hundred.