2138998716517742400
2,138,998,716,517,742,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 2138998716517742400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
2138998716517742400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 2138998716517742400:
26 × 3 × 52 × 47 × 283 × 33503099963
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 47 × 283 × 33503099963)See below for interesting mathematical facts about the number 2138998716517742400 from the Numbermatics database.
Names of 2138998716517742400
- Cardinal: 2138998716517742400 can be written as Two quintillion, one hundred thirty-eight quadrillion, nine hundred ninety-eight trillion, seven hundred sixteen billion, five hundred seventeen million, seven hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.1389987165177424 × 1018
Factors of 2138998716517742400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 33503100303
Divisors of 2138998716517742400
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 47 48 50 60 64 75 80 94 96 100 120 141 150 160 188 192 200 235 240 282 283 300 320 376 400 470 480 564 566 600 705 752 800 849 940 960 1128 1132 1175 1200 1410 1415 1504 1600 1698 1880 2256 2264 2350 2400 2820 2830 3008 3396 3525 3760 4245 4512 4528 4700 4800 5640 5660 6792 7050 7075 7520 8490 9024 9056 9400 11280 11320 13301 13584 14100 14150 15040 16980 18112 18800 21225 22560 22640 26602 27168 28200 28300 33960 37600 39903 42450 45120 45280 53204 54336 56400 56600 66505 67920 75200 79806 84900 90560 106408 112800 113200 133010 135840 159612 169800 199515 212816 225600 226400 266020 271680 319224 332525 339600 399030 425632 452800 532040 638448 665050 679200 798060 851264 997575 1064080 1276896 1330100 1358400 1596120 1995150 2128160 2553792 2660200 3192240 3990300 4256320 5320400 6384480 7980600 10640800 12768960 15961200 21281600 31922400 63844800 33503099963 67006199926 100509299889 134012399852 167515499815 201018599778 268024799704 335030999630 402037199556 502546499445 536049599408 670061999260 804074399112 837577499075 1005092998890 1072099198816 1340123998520 1574645698261 1608148798224 1675154998150 2010185997780 2144198397632 2512732497225 2680247997040 3149291396522 3216297596448 3350309996300 4020371995560 4723937094783 5025464994450 5360495994080 6298582793044 6432595192896 6700619992600 7873228491305 8040743991120 9447874189566 9481377289529 10050929988900 10720991988160 12597165586088 13401239985200 15746456982610 16081487982240 18895748379132 18962754579058 20101859977800 23619685473915 25194331172176 26802479970400 28444131868587 31492913965220 32162975964480 37791496758264 37925509158116 39366142456525 40203719955600 47239370947830 47406886447645 50388662344352 53604959940800 56888263737174 62985827930440 75582993516528 75851018316232 78732284913050 80407439911200 94478741895660 94813772895290 100777324688704 113776527474348 118098427369575 125971655860880 142220659342935 151165987033056 151702036632464 157464569826100 160814879822400 188957483791320 189627545790580 227553054948696 236196854739150 237034432238225 251943311721760 284441318685870 302331974066112 303404073264928 314929139652200 377914967582640 379255091581160 445624732607863 455106109897392 472393709478300 474068864476450 503886623443520 568882637371740 606808146529856 629858279304400 711103296714675 755829935165280 758510183162320 891249465215726 910212219794784 944787418956600 948137728952900 1137765274743480 1259716558608800 1336874197823589 1422206593429350 1511659870330560 1517020366324640 1782498930431452 1820424439589568 1889574837913200 1896275457905800 2228123663039315 2275530549486960 2519433117217600 2673748395647178 2844413186858700 3034040732649280 3564997860862904 3779149675826400 3792550915811600 4456247326078630 4551061098973920 5347496791294356 5688826373717400 6684370989117945 7129995721725808 7558299351652800 7585101831623200 8912494652157260 9102122197947840 10694993582588712 11140618315196575 11377652747434800 13368741978235890 14259991443451616 15170203663246400 17824989304314520 21389987165177424 22281236630393150 22755305494869600 26737483956471780 28519982886903232 33421854945589725 35649978608629040 42779974330354848 44562473260786300 45510610989739200 53474967912943560 66843709891179450 71299957217258080 85559948660709696 89124946521572600 106949935825887120 133687419782358900 142599914434516160 178249893043145200 213899871651774240 267374839564717800 356499786086290400 427799743303548480 534749679129435600 712999572172580800 1069499358258871200 2138998716517742400
- Sum of all divisors σ(n): 7192336146153237504
- Sum of proper divisors (its aliquot sum) s(n): 5053337429635495104
- 2138998716517742400 is an abundant number, because the sum of its proper divisors (5053337429635495104) is greater than itself. Its abundance is 2914338713117752704
Bases of 2138998716517742400
- Binary: 11101101011110011111111111111111100010000111001110111010000002
- Hexadecimal: 0x1DAF3FFFF10E7740
- Base-36: G91FRGU0EQTC
Squares and roots of 2138998716517742400
- 2138998716517742400 squared (21389987165177424002) is 4575315509264549313905573992757760000
- 2138998716517742400 cubed (21389987165177424003) is 9786594001980591919286553712451667191424145281024000000
-
The
square root of 2138998716517742400 is 1462531612.1430477989 -
The
cube root of 2138998716517742400 is 1288457.7278993021
Scales and comparisons
How big is 2138998716517742400?- 2,138,998,716,517,742,400 seconds is equal to 68,013,542,827 years, 42 weeks, 3 days, 17 hours, 20 minutes.
-
To count from 1 to 2,138,998,716,517,742,400 would take you about two hundred thirty-eight billion, forty-seven million, three hundred ninety-nine thousand, eight hundred ninety-seven 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 2138998716517742400 cubic inches would be around 107371.5 feet tall.
Recreational maths with 2138998716517742400
- 2138998716517742400 backwards is 0042477156178998312
- The number of decimal digits it has is: 19
- The sum of 2138998716517742400's digits is 84
- 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 2138998716517742400 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 2138998716517742400 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/2138998716517742400/
Chicago style:
Numbermatics. 2024. "Number 2138998716517742400 - Facts about the integer". https://numbermatics.com/n/2138998716517742400/
The information we have on file for 2138998716517742400 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 2138998716517742400, math, Factors of 2138998716517742400, curriculum, school, college, exams, university, Prime factorization of 2138998716517742400, STEM, science, technology, engineering, physics, economics, calculator, two quintillion, one hundred thirty-eight quadrillion, nine hundred ninety-eight trillion, seven hundred sixteen billion, five hundred seventeen million, seven hundred forty-two thousand, four hundred.