21838378688000
21,838,378,688,000 is an even composite number composed of seven prime numbers multiplied together.
21838378688000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 21838378688000:
29 × 53 × 7 × 19 × 61 × 137 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 19 × 61 × 137 × 307)See below for interesting mathematical facts about the number 21838378688000 from the Numbermatics database.
Names of 21838378688000
- Cardinal: 21838378688000 can be written as Twenty-one trillion, eight hundred thirty-eight billion, three hundred seventy-eight million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 2.1838378688 × 1013
Factors of 21838378688000
Divisors of 21838378688000
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 61 64 70 76 80 95 100 112 122 125 128 133 137 140 152 160 175 190 200 224 244 250 256 266 274 280 304 305 307 320 350 380 400 427 448 475 488 500 512 532 548 560 608 610 614 640 665 685 700 760 800 854 875 896 950 959 976 1000 1064 1096 1120 1159 1216 1220 1228 1280 1330 1370 1400 1520 1525 1535 1600 1708 1750 1792 1900 1918 1952 2000 2128 2135 2149 2192 2240 2318 2375 2432 2440 2456 2560 2603 2660 2740 2800 3040 3050 3070 3200 3325 3416 3425 3500 3584 3800 3836 3904 4000 4256 4270 4298 4384 4480 4636 4750 4795 4864 4880 4912 5206 5320 5480 5600 5795 5833 6080 6100 6140 6400 6650 6832 6850 7000 7600 7625 7672 7675 7808 8000 8113 8357 8512 8540 8596 8768 8960 9272 9500 9590 9728 9760 9824 10412 10640 10675 10745 10960 11200 11590 11666 12160 12200 12280 12800 13015 13300 13664 13700 14000 15200 15250 15344 15350 15616 16000 16226 16625 16714 17024 17080 17125 17192 17536 17920 18221 18544 18727 19000 19180 19520 19648 20824 21280 21350 21490 21920 22400 23180 23332 23975 24320 24400 24560 26030 26600 27328 27400 28000 28975 29165 30400 30500 30688 30700 31232 32000 32452 33250 33428 34048 34160 34250 34384 35072 36442 37088 37454 38000 38360 38375 39040 39296 40565 40831 41648 41785 42059 42560 42700 42980 43840 44800 46360 46664 47950 48640 48800 49120 52060 53200 53375 53725 54656 54800 56000 57950 58330 58499 60800 61000 61376 61400 64000 64904 65075 66500 66856 68096 68320 68500 68768 70144 72884 74176 74908 76000 76720 76750 78080 78592 81130 81662 83296 83570 84118 85120 85400 85960 87680 89600 91105 92720 93328 93635 95900 97600 98240 104120 106400 106750 107450 109312 109600 112000 115900 116660 116998 119875 121600 122000 122752 122800 129808 130150 131089 133000 133712 136640 137000 137536 144875 145768 145825 148352 149816 152000 153440 153500 156160 157184 158783 162260 163324 166592 167140 168236 170240 170800 171920 175360 182210 185440 186656 187270 191800 195200 196480 202825 204155 208240 208925 210295 212800 213500 214900 218624 219200 224000 231800 233320 233996 239750 243200 244000 245504 245600 259616 260300 262178 266000 267424 268625 273280 274000 275072 289750 291536 291650 292495 294413 296704 299632 304000 306880 307000 317566 324520 325375 326648 333184 334280 336472 340480 341600 343840 350720 355813 364420 370880 373312 374540 383600 390400 392960 405650 408310 416480 417850 420590 425600 427000 429800 438400 448000 455525 463600 466640 467992 468175 479500 488000 491008 491200 519232 520600 524356 532000 534848 537250 546560 548000 550144 579500 583072 583300 584990 588826 593408 599264 608000 613760 614000 635132 649040 650750 653296 655445 666368 668560 672944 683200 687680 711626 728840 729125 741760 746624 749080 767200 780800 785920 793915 799121 811300 816620 832960 835700 841180 851200 854000 859600 876800 911050 927200 933280 935984 936350 959000 976000 982400 1014125 1020775 1038464 1041200 1044625 1048712 1051475 1064000 1069696 1074500 1093120 1096000 1100288 1111481 1159000 1166144 1166600 1169980 1177652 1198528 1216000 1227520 1228000 1270264 1298080 1301500 1306592 1310890 1332736 1337120 1345888 1366400 1375360 1423252 1457680 1458250 1462475 1472065 1483520 1493248 1498160 1534400 1587830 1598242 1622600 1633240 1665920 1671400 1682360 1702400 1708000 1719200 1753600 1779065 1822100 1854400 1866560 1871968 1872700 1918000 1952000 1964800 2028250 2041550 2076928 2082400 2089250 2097424 2102950 2128000 2139392 2149000 2192000 2222962 2277625 2318000 2332288 2333200 2339960 2340875 2355304 2397056 2455040 2456000 2490691 2540528 2565599 2596160 2603000 2613184 2621780 2674240 2691776 2732800 2750720 2846504 2915360 2916500 2924950 2944130 2967040 2986496 2996320 3068800 3175660 3196484 3245200 3266480 3277225 3331840 3342800 3364720 3416000 3438400 3558130 3644200 3708800 3733120 3743936 3745400 3836000 3904000 3929600 3969575 3995605 4056500 4083100 4153856 4164800 4178500 4194848 4205900 4256000 4278784 4298000 4384000 4445924 4555250 4636000 4664576 4666400 4679920 4681750 4710608 4794112 4912000 4981382 5081056 5103875 5131198 5192320 5206000 5226368 5243560 5257375 5348480 5383552 5465600 5501440 5557405 5593847 5693008 5830720 5833000 5849900 5888260 5992640 6137600 6351320 6392968 6490400 6532960 6554450 6663680 6685600 6729440 6832000 6876800 7116260 7288400 7312375 7360325 7417600 7466240 7487872 7490800 7672000 7939150 7991210 8113000 8166200 8329600 8357000 8389696 8411800 8512000 8596000 8768000 8891848 8895325 9110500 9272000 9329152 9332800 9359840 9363500 9421216 9588224 9824000 9962764 10162112 10207750 10262396 10384640 10412000 10452736 10487120 10514750 10696960 10767104 11114810 11187694 11386016 11661440 11666000 11699800 11776520 11985280 12275200 12453455 12702640 12785936 12827995 12980800 13065920 13108900 13371200 13458880 13664000 13753600 14232520 14576800 14624750 14720650 14835200 14932480 14975744 14981600 15344000 15878300 15982420 16226000 16332400 16386125 16659200 16714000 16779392 16823600 17192000 17783696 17790650 17959193 18221000 18544000 18665600 18719680 18727000 18842432 19648000 19847875 19925528 19978025 20324224 20415500 20524792 20769280 20824000 20905472 20974240 21029500 21393920 21534208 22229620 22375388 22772032 23322880 23332000 23399600 23553040 23970560 24906910 25405280 25571872 25655990 25961600 26131840 26217800 26742400 26917760 27328000 27507200 27787025 27969235 28465040 29153600 29249500 29441300 29951488 29963200 30688000 31756600 31964840 32452000 32664800 32772250 33318400 33428000 33558784 33647200 34384000 35567392 35581300 35918386 36442000 36801625 37088000 37331200 37439360 37454000 37684864 39695750 39851056 39956050 40648448 40831000 41049584 41648000 41948480 42059000 44459240 44476625 44750776 45544064 46645760 46664000 46799200 47106080 47941120 48746381 49813820 50810560 51143744 51311980 51923200 52263680 52435600 53484800 53835520 55574050 55938470 56930080 58307200 58499000 58882600 59926400 61376000 62267275 63513200 63929680 64139975 64904000 65329600 65544500 66856000 67117568 67294400 68768000 71134784 71162600 71836772 72884000 73603250 74176000 74662400 74878720 74908000 75369728 79391500 79702112 79912100 81296896 81662000 82099168 83296000 83896960 84118000 88918480 88953250 89501552 89795965 91088128 93328000 93598400 94212160 97492762 99627640 99890125 101621120 102287488 102623960 103846400 104527360 104871200 106969600 107671040 111148100 111876940 113860160 116614400 116998000 117765200 119852800 124534550 127026400 127859360 128279950 129808000 130659200 131089000 133712000 134588800 137536000 138935125 139846175 142269568 142325200 143673544 145768000 147206500 149757440 149816000 150739456 158783000 159404224 159824200 163324000 164198336 166592000 167793920 168236000 177836960 177906500 179003104 179591930 182176256 186656000 187196800 188424320 194985524 199255280 199780250 203242240 204574976 205247920 209742400 222296200 223753880 227720320 233228800 233996000 235530400 239705600 243731905 249069100 254052800 255718720 256559900 259616000 261318400 262178000 267424000 269177600 277870250 279692350 284539136 284650400 287347088 291536000 294413000 299632000 311336375 317566000 318808448 319648400 320699875 326648000 328396672 335587840 336472000 341224667 355673920 355813000 358006208 359183860 373312000 374393600 376848640 389971048 398510560 399560500 406484480 409149952 410495840 419484800 444592400 447507760 448979825 455440640 467992000 471060800 487463810 498138200 508105600 511437440 513119800 519232000 522636800 524356000 534848000 538355200 555740500 559384700 569078272 569300800 574694176 583072000 588826000 599264000 622672750 635132000 637616896 639296800 641399750 653296000 656793344 672944000 682449334 699230875 711347840 711626000 716012416 718367720 748787200 753697280 779942096 797021120 799121000 820991680 838969600 889184800 895015520 897959650 910881280 935984000 942121600 974927620 996276400 1016211200 1022874880 1026239600 1048712000 1111481000 1118769400 1138601600 1149388352 1166144000 1177652000 1198528000 1218659525 1245345500 1270264000 1275233792 1278593600 1282799500 1306592000 1313586688 1345888000 1364898668 1398461750 1422695680 1423252000 1432024832 1436735440 1559884192 1594042240 1598242000 1641983360 1677939200 1706123335 1778369600 1790031040 1795919300 1871968000 1884243200 1949855240 1992552800 2032422400 2045749760 2052479200 2097424000 2222962000 2237538800 2244899125 2277203200 2298776704 2355304000 2437319050 2490691000 2540528000 2557187200 2565599000 2613184000 2691776000 2729797336 2796923500 2845391360 2846504000 2864049664 2873470880 3119768384 3188084480 3196484000 3283966720 3412246670 3556739200 3580062080 3591838600 3743936000 3768486400 3899710480 3985105600 4104958400 4194848000 4445924000 4475077600 4489798250 4554406400 4597553408 4710608000 4874638100 4981382000 5081056000 5114374400 5131198000 5459594672 5593847000 5693008000 5746941760 6093297625 6239536768 6376168960 6392968000 6567933440 6824493340 7113478400 7160124160 7183677200 7799420960 7970211200 8209916800 8389696000 8530616675 8891848000 8950155200 8979596500 9195106816 9421216000 9749276200 9962764000 10162112000 10228748800 10262396000 10919189344 11187694000 11386016000 11493883520 12186595250 12479073536 12785936000 13648986680 14226956800 14320248320 14367354400 15598841920 15940422400 16419833600 17061233350 17783696000 17900310400 17959193000 18842432000 19498552400 19925528000 20524792000 21838378688 22375388000 22772032000 22987767040 24373190500 24958147072 25571872000 27297973360 28734708800 31197683840 31880844800 32839667200 34122466700 35567392000 35800620800 35918386000 38997104800 39851056000 41049584000 42653083375 43676757376 44750776000 45975534080 48746381000 51143744000 54595946720 57469417600 62395367680 68244933400 71134784000 71601241600 71836772000 77994209600 79702112000 82099168000 85306166750 87353514752 89501552000 97492762000 109191893440 114938835200 124790735360 136489866800 143673544000 155988419200 159404224000 164198336000 170612333500 174707029504 179003104000 194985524000 218383786880 229877670400 272979733600 287347088000 311976838400 341224667000 358006208000 389971048000 436767573760 545959467200 574694176000 623953676800 682449334000 779942096000 873535147520 1091918934400 1149388352000 1364898668000 1559884192000 2183837868800 2729797336000 3119768384000 4367675737600 5459594672000 10919189344000 21838378688000
- Sum of all divisors σ(n): 67288633251840
- Sum of proper divisors (its aliquot sum) s(n): 45450254563840
- 21838378688000 is an abundant number, because the sum of its proper divisors (45450254563840) is greater than itself. Its abundance is 23611875875840
Bases of 21838378688000
- Binary: 1001111011100101001001100110111011110000000002
- Hexadecimal: 0x13DCA4CDDE00
- Base-36: 7QOEUTJI8
Squares and roots of 21838378688000
- 21838378688000 squared (218383786880002) is 476914783720492601344000000
- 21838378688000 cubed (218383786880003) is 10415045648793734974052489756672000000000
-
The
square root of 21838378688000 is 4673155.1106292203 -
The
cube root of 21838378688000 is 27951.6080321381
Scales and comparisons
How big is 21838378688000?- 21,838,378,688,000 seconds is equal to 694,392 years, 46 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 21,838,378,688,000 would take you about one million, seven hundred thirty-five thousand, nine hundred eighty-two 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 21838378688000 cubic inches would be around 2329.3 feet tall.
Recreational maths with 21838378688000
- 21838378688000 backwards is 00088687383812
- The number of decimal digits it has is: 14
- The sum of 21838378688000's digits is 62
- 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 21838378688000 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
APA style:
Numbermatics. (2024). Number 21838378688000 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/21838378688000/
Chicago style:
Numbermatics. 2024. "Number 21838378688000 - Facts about the integer". https://numbermatics.com/n/21838378688000/
The information we have on file for 21838378688000 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 21838378688000, math, Factors of 21838378688000, curriculum, school, college, exams, university, Prime factorization of 21838378688000, STEM, science, technology, engineering, physics, economics, calculator, twenty-one trillion, eight hundred thirty-eight billion, three hundred seventy-eight million, six hundred eighty-eight thousand.