540442943603838000
540,442,943,603,838,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 540442943603838000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
540442943603838000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 540442943603838000:
24 × 32 × 53 × 11 × 661 × 4129364321
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 661 × 4129364321)See below for interesting mathematical facts about the number 540442943603838000 from the Numbermatics database.
Names of 540442943603838000
- Cardinal: 540442943603838000 can be written as Five hundred forty quadrillion, four hundred forty-two trillion, nine hundred forty-three billion, six hundred three million, eight hundred thirty-eight thousand.
Scientific notation
- Scientific notation: 5.40442943603838 × 1017
Factors of 540442943603838000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 4129365003
Divisors of 540442943603838000
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 33 36 40 44 45 48 50 55 60 66 72 75 80 88 90 99 100 110 120 125 132 144 150 165 176 180 198 200 220 225 240 250 264 275 300 330 360 375 396 400 440 450 495 500 528 550 600 660 661 720 750 792 825 880 900 990 1000 1100 1125 1200 1320 1322 1375 1500 1584 1650 1800 1980 1983 2000 2200 2250 2475 2640 2644 2750 3000 3300 3305 3600 3960 3966 4125 4400 4500 4950 5288 5500 5949 6000 6600 6610 7271 7920 7932 8250 9000 9900 9915 10576 11000 11898 12375 13200 13220 14542 15864 16500 16525 18000 19800 19830 21813 22000 23796 24750 26440 29084 29745 31728 33000 33050 36355 39600 39660 43626 47592 49500 49575 52880 58168 59490 65439 66000 66100 72710 79320 82625 87252 95184 99000 99150 109065 116336 118980 130878 132200 145420 148725 158640 165250 174504 181775 198000 198300 218130 237960 247875 261756 264400 290840 297450 327195 330500 349008 363550 396600 436260 475920 495750 523512 545325 581680 594900 654390 661000 727100 743625 793200 872520 908875 991500 1047024 1090650 1189800 1308780 1322000 1454200 1487250 1635975 1745040 1817750 1983000 2181300 2379600 2617560 2726625 2908400 2974500 3271950 3635500 3966000 4362600 5235120 5453250 5949000 6543900 7271000 8179875 8725200 10906500 11898000 13087800 14542000 16359750 21813000 26175600 32719500 43626000 65439000 130878000 4129364321 8258728642 12388092963 16517457284 20646821605 24776185926 33034914568 37164278889 41293643210 45423007531 49552371852 61940464815 66069829136 74328557778 82587286420 90846015062 99104743704 103234108025 123880929630 136269022593 148657115556 165174572840 181692030124 185821394445 198209487408 206468216050 227115037655 247761859260 272538045186 297314231112 309702324075 330349145680 363384060248 371642788890 408807067779 412936432100 454230075310 495523718520 516170540125 545076090372 594628462224 619404648150 681345112965 726768120496 743285577780 817614135558 825872864200 908460150620 929106972225 991047437040 1032341080250 1090152180744 1135575188275 1238809296300 1362690225930 1486571155560 1548511620375 1635228271116 1651745728400 1816920301240 1858213944450 2044035338895 2064682160500 2180304361488 2271150376550 2477618592600 2725380451860 2729509816181 2973142311120 3097023240750 3270456542232 3406725564825 3633840602480 3716427888900 4088070677790 4129364321000 4542300753100 4645534861125 4955237185200 5450760903720 5459019632362 5677875941375 6194046481500 6540913084464 6813451129650 7432855777800 8176141355580 8188529448543 8258728642000 9084601506200 9291069722250 10220176694475 10901521807440 10918039264724 11355751882750 12388092963000 13626902259300 13647549080905 14865711555600 16352282711160 16377058897086 17033627824125 18169203012400 18582139444500 20440353388950 21836078529448 22711503765500 24565588345629 24776185926000 27253804518600 27295098161810 30024607977991 32704565422320 32754117794172 34067255648250 37164278889000 40880706777900 40942647242715 43672157058896 45423007531000 49131176691258 51100883472375 54507609037200 54590196323620 60049215955982 65508235588344 68134511296500 68237745404525 74328557778000 81761413555800 81885294485430 90073823933973 90846015062000 98262353382516 102201766944750 109180392647240 120098431911964 122827941728145 131016471176688 136269022593000 136475490809050 150123039889955 163522827111600 163770588970860 180147647867946 196524706765032 204403533889500 204713236213575 218360785294480 240196863823928 245655883456290 270221471801919 272538045186000 272950981618100 300246079779910 327541177941720 341188727022625 360295295735892 393049413530064 408807067779000 409426472427150 450369119669865 480393727647856 491311766912580 540442943603838 545901963236200 600492159559820 614139708640725 655082355883440 682377454045250 720590591471784 750615199449775 817614135558000 818852944854300 900738239339730 982623533825160 1023566181067875 1080885887207676 1091803926472400 1200984319119640 1228279417281450 1351107359009595 1364754908090500 1441181182943568 1501230398899550 1637705889708600 1801476478679460 1965247067650320 2047132362135750 2161771774415352 2251845598349325 2401968638239280 2456558834562900 2702214718019190 2729509816181000 3002460797799100 3070698543203625 3275411779417200 3602952957358920 3753075997248875 4094264724271500 4323543548830704 4503691196698650 4913117669125800 5404429436038380 5459019632362000 6004921595598200 6141397086407250 6755536795047975 7205905914717840 7506151994497750 8188529448543000 9007382393397300 9826235338251600 10808858872076760 11259227991746625 12009843191196400 12282794172814500 13511073590095950 15012303988995500 16377058897086000 18014764786794600 21617717744153520 22518455983493250 24565588345629000 27022147180191900 30024607977991000 33777683975239875 36029529573589200 45036911966986500 49131176691258000 54044294360383800 60049215955982000 67555367950479750 90073823933973000 108088588720767600 135110735900959500 180147647867946000 270221471801919000 540442943603838000
- Sum of all divisors σ(n): 2062301136497020224
- Sum of proper divisors (its aliquot sum) s(n): 1521858192893182224
- 540442943603838000 is an abundant number, because the sum of its proper divisors (1521858192893182224) is greater than itself. Its abundance is 981415249289344224
Bases of 540442943603838000
- Binary: 111100000000000100111111110011010101101111110001100001100002
- Hexadecimal: 0x78009FE6ADF8C30
- Base-36: 43TF18SUFFW0
Squares and roots of 540442943603838000
- 540442943603838000 squared (5404429436038380002) is 292078575291181220995088330244000000
- 540442943603838000 cubed (5404429436038380003) is 157851804993981203767595211865255415249876472000000000
-
The
square root of 540442943603838000 is 735148246.0047347485 -
The
cube root of 540442943603838000 is 814547.8785574767
Scales and comparisons
How big is 540442943603838000?- 540,442,943,603,838,000 seconds is equal to 17,184,413,906 years, 42 weeks, 3 days, 11 hours.
-
To count from 1 to 540,442,943,603,838,000 would take you about fifty-one billion, five hundred fifty-three million, two hundred forty-one thousand, seven hundred twenty 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 540442943603838000 cubic inches would be around 67879 feet tall.
Recreational maths with 540442943603838000
- 540442943603838000 backwards is 000838306349244045
- The number of decimal digits it has is: 18
- The sum of 540442943603838000's digits is 63
- More coming soon!
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 540442943603838000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 540442943603838000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/540442943603838000/
Chicago style:
Numbermatics. 2024. "Number 540442943603838000 - Facts about the integer". https://numbermatics.com/n/540442943603838000/
The information we have on file for 540442943603838000 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 540442943603838000, math, Factors of 540442943603838000, curriculum, school, college, exams, university, Prime factorization of 540442943603838000, STEM, science, technology, engineering, physics, economics, calculator, five hundred forty quadrillion, four hundred forty-two trillion, nine hundred forty-three billion, six hundred three million, eight hundred thirty-eight thousand.