21388401363028128
21,388,401,363,028,128 is an even composite number composed of seven prime numbers multiplied together.
21388401363028128 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 21388401363028128:
25 × 3 × 11 × 132 × 732 × 1492 × 1013
(2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 13 × 73 × 73 × 149 × 149 × 1013)See below for interesting mathematical facts about the number 21388401363028128 from the Numbermatics database.
Names of 21388401363028128
- Cardinal: 21388401363028128 can be written as Twenty-one quadrillion, three hundred eighty-eight trillion, four hundred one billion, three hundred sixty-three million, twenty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 2.1388401363028128 × 1016
Factors of 21388401363028128
Divisors of 21388401363028128
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 73 78 88 96 104 132 143 146 149 156 169 176 208 219 264 286 292 298 312 338 352 416 429 438 447 507 528 572 584 596 624 676 803 858 876 894 949 1013 1014 1056 1144 1168 1192 1248 1352 1606 1639 1716 1752 1788 1859 1898 1937 2026 2028 2288 2336 2384 2409 2704 2847 3039 3212 3278 3432 3504 3576 3718 3796 3874 4052 4056 4576 4768 4818 4917 5329 5408 5577 5694 5811 6078 6424 6556 6864 7008 7152 7436 7592 7748 8104 8112 9636 9834 10439 10658 10877 11143 11154 11388 11622 12156 12337 12848 13112 13169 13728 14304 14872 15184 15496 15987 16208 16224 19272 19668 20878 21307 21316 21754 22201 22286 22308 22776 23244 24312 24674 25181 25696 26224 26338 29744 30368 30992 31317 31974 32416 32631 33429 37011 38544 39336 39507 41756 42614 42632 43508 44402 44572 44616 45552 46488 48624 49348 50362 52448 52676 58619 59488 61984 62634 63921 63948 65262 66603 66858 69277 73949 74022 75543 77088 78672 79014 83512 85228 85264 87016 88804 89144 89232 91104 92976 97248 98696 100724 105352 117238 119647 125268 127842 127896 130524 133206 133716 135707 138554 141401 144859 147898 148044 150937 151086 157344 158028 167024 170456 170528 171197 174032 175857 177608 178288 178464 185952 197392 201448 207831 210704 221847 234476 239294 244211 250536 255684 255792 261048 266412 267432 271414 276991 277108 282802 288613 289718 295796 296088 301874 302172 316056 334048 340912 342394 348064 351714 355216 356576 358941 394784 402896 407121 415662 421408 424203 434577 443694 452811 468952 478588 488422 501072 511368 511584 513591 522096 532824 534864 542828 553982 554216 565604 577226 579436 591592 592176 603748 604344 632112 681824 684788 703428 710432 717882 732633 762047 794021 805792 813439 814242 830973 831324 848406 865839 869154 887388 900601 905622 937904 957176 961337 976844 1002144 1022736 1027182 1044192 1065648 1069728 1085656 1107964 1108432 1131208 1154452 1158872 1183184 1184352 1207496 1208688 1264224 1369576 1406856 1435764 1465266 1524094 1555411 1588042 1620673 1626878 1628484 1660307 1661946 1662648 1696812 1731678 1738308 1774776 1801202 1811244 1838213 1875808 1883167 1914352 1922674 1953688 1962181 2045472 2054364 2131296 2171312 2215928 2216864 2262416 2286141 2308904 2317744 2366368 2382063 2414992 2417376 2440317 2701803 2739152 2813712 2871528 2884011 2930532 3048188 3110822 3174743 3176084 3241346 3253756 3256968 3320614 3323892 3325296 3393624 3463356 3476616 3549552 3602404 3622488 3676426 3751969 3766334 3828704 3845348 3907376 3924362 4108728 4342624 4431856 4524832 4572282 4617808 4635488 4666233 4764126 4829984 4862019 4880634 4980921 5398277 5403606 5478304 5514639 5627424 5649501 5743056 5768022 5861064 5886543 6096376 6221644 6349486 6352168 6482692 6507512 6513936 6641228 6647784 6650592 6787248 6926712 6953232 7099104 7204808 7244976 7352852 7503938 7532668 7690696 7814752 7848724 8217456 8734231 8863712 9144564 9235616 9332466 9524229 9528252 9724038 9761268 9906611 9961842 10322273 10574707 10796554 10807212 11018401 11029278 11255907 11299002 11486112 11536044 11722128 11773086 12192752 12443288 12497381 12698972 12704336 12965384 13015024 13027872 13282456 13295568 13574496 13853424 13906464 14409616 14489952 14705704 15007876 15065336 15381392 15697448 16194831 16434912 17468462 17827403 18289128 18664932 19048458 19056504 19448076 19522536 19813222 19923684 20220343 20644546 21068749 21149414 21583991 21593108 21614424 22036802 22058556 22489613 22511814 22598004 23072088 23444256 23546172 24385504 24886576 24994762 25397944 25408672 25508353 25930768 26030048 26202693 26564912 26591136 27706848 28819232 29411408 29719833 30015752 30130672 30762784 30966819 31394896 31724121 32389662 33055203 34936924 35654806 36578256 37329864 37492143 38096916 38113008 38896152 39045072 39626444 39847368 40440686 41271659 41289092 42137498 42298828 43167982 43186216 43228848 44073604 44117112 44979226 45023628 45196008 46144176 47092344 49773152 49989524 50795888 51016706 51861536 52405386 53129824 53482209 58822816 59381047 59439666 60031504 60261344 60661029 61933638 62789792 63206247 63448242 64751973 64779324 66110406 67468839 69873848 70177601 71309612 73156512 74659728 74984286 76193832 76226016 76525059 77792304 78090144 79252888 79694736 80881372 82543318 82578184 84274996 84597656 86335964 86372432 86457696 88147208 88234224 89958452 90047256 90392016 92288352 94184688 99979048 101591776 102033412 104810772 106964418 113545003 118309129 118762094 118879332 120063008 121202411 121322058 123814977 123867276 126412494 126896484 129503946 129558648 132220812 134189549 134937678 137471191 139747696 140355202 142619224 143239213 149319456 149968572 152387664 153050118 155584608 158505776 159389472 161762744 165086636 165156368 168549992 169195312 172671928 172744864 176294416 176468448 178143141 179916904 180094512 180784032 188369376 199958096 204066824 209621544 210532803 213928836 227090006 231756239 236618258 237524188 237758664 242404822 242644116 247385743 247629954 247734552 252824988 253792968 259007892 259117296 264441624 268379098 269875356 273893737 274942382 279495392 280591883 280710404 285238448 286478426 292364969 299937144 304775328 306100236 317011552 323525488 330173272 330312736 337099984 338390624 340635009 345343856 352588832 354927387 356286282 359833808 360189024 363607233 399916192 402568647 408133648 412413573 419243088 421065606 427857672 429717639 454180012 463512478 473236516 475048376 475517328 484809644 485288232 494771486 495259908 495469104 505649976 507585936 518015784 518234592 528883248 536758196 539750712 547787474 549884764 561183766 561420808 570476896 572956852 584729938 599874288 612200472 647050976 660346544 674199968 681270018 690687712 695268717 709854774 712572564 719667616 727214466 742157229 771953611 804343273 805137294 816267296 821681211 824827146 838486176 841775649 842131212 855715344 859435278 877094907 908360024 912308813 927024956 946473032 950096752 951034656 969619288 970576464 989542972 990519816 990938208 1011299952 1015171872 1036031568 1057766496 1073516392 1079501424 1095574948 1099769528 1122367532 1122841616 1145913704 1169459876 1199748576 1224400944 1301400419 1320693088 1362540036 1390537434 1419709548 1425145128 1454428932 1476085039 1484314458 1538018677 1543907222 1575631343 1608686546 1610274588 1641741749 1643362422 1649654292 1683551298 1684262424 1711430688 1718870556 1754189814 1816720048 1824617626 1854049912 1862109769 1892946064 1900193504 1939238576 1941152928 1979085944 1981039632 2022599904 2072063136 2147032784 2159002848 2191149896 2199539056 2244735064 2245683232 2291827408 2315860833 2338919752 2413029819 2448801888 2602800838 2725080072 2736926439 2781074868 2839419096 2850290256 2908857864 2952170078 2968628916 3012831107 3076037354 3087814444 3151262686 3216014659 3217373092 3220549176 3283483498 3286724844 3299308584 3367102596 3368524848 3437741112 3508379628 3633440096 3649235252 3708099824 3724219538 3785892128 3800744597 3878477152 3904201257 3958171888 3962079264 4294065568 4382299792 4399078112 4428255117 4489470128 4583654816 4614056031 4631721666 4677839504 4726894029 4826059638 4925225247 5205601676 5450160144 5473852878 5562149736 5586329307 5678838192 5700580512 5817715728 5904340156 5937257832 6025662214 6152074708 6175628888 6302525372 6432029318 6434746184 6441098352 6566966996 6573449688 6598617168 6734205192 6737049696 6875482224 7016759256 7298470504 7416199648 7448439076 7601489194 7808402514 7916343776 8764599584 8847776003 8856510234 8978940256 9038493321 9228112062 9263443332 9355679008 9453788058 9648043977 9652119276 9850450494 10035396943 10411203352 10456462549 10900320288 10947705756 11124299472 11172658614 11357676384 11402233791 11635431456 11808680312 11874515664 12051324428 12304149416 12351257776 12605050744 12864058636 12869492368 12882196704 13133933992 13146899376 13197234336 13468410384 13750964448 14033518512 14596941008 14896878152 15202978388 15616805028 16918205447 17695552006 17713020468 18059159239 18076986642 18456224124 18526886664 18907576116 19296087954 19304238552 19700900988 19994242801 20070793886 20483207459 20822406704 20912925098 21342642737 21895411512 22248598944 22345317228 22804467582 23617360624 23749031328 24102648856 24608298832 24702515552 25210101488 25728117272 25738984736 26267867984 26293798752 26543328009 26936820768 28067037024 29193882016 29793756304 30106190829 30405956776 31233610056 31369387647 33836410894 35391104012 35426040936 36118318478 36153973284 36912448248 37053773328 37815152232 38592175908 38608477104 39401801976 39988485602 40141587772 40966414918 41644813408 41808190567 41825850196 42685285474 43790823024 44690634456 45608935164 47234721248 48205297712 49216597664 50420202976 50754616341 51456234544 52535735968 53086656018 54177477717 59587512608 59982728403 60212381658 60811913552 61449622377 62467220112 62738775294 64027928211 67672821788 70782208024 70852081872 72236636956 72307946568 73824896496 74107546656 75630304464 77184351816 77216954208 78803603952 79976971204 80283175544 81932829836 83616381134 83651700392 85370570948 87581646048 89381268912 91217870328 96410595424 101509232682 102912469088 106173312036 108354955434 115021088039 119847147677 119965456806 120424763316 121623827104 122899244754 124934440224 125424571701 125477550588 128055856422 135345643576 135934013137 141564416048 141704163744 144473273912 144615893136 147649792992 151260608928 154368703632 157607207904 159953942408 160566351088 163865659672 167232762268 167303400784 170741141896 178762537824 182435740656 203018465364 212346624072 216709910868 219936670811 230042176078 234769070107 239694295354 239930913612 240849526632 245798489508 250849143402 250955101176 256111712844 270691287152 271868026274 277454355581 283128832096 288946547824 289231786272 308737407264 319907884816 321132702176 327731319344 334465524536 334606801568 341482283792 345063264117 359541443031 364871481312 406036930728 407802039411 424693248144 433419821736 439873341622 460084352156 469538140214 479388590708 479861827224 481699053264 491596979016 501698286804 501910202352 512223425688 541382574304 543736052548 554908711162 577893095648 639815769632 655462638688 659810012433 668931049072 682964567584 690126528234 704307210321 719082886062 812073861456 815604078822 832363066743 849386496288 866839643472 879746683244 920168704312 939076280428 958777181416 959723654448 963398106528 983193958032 1003396573608 1003820404704 1024446851376 1087472105096 1109817422324 1318318624447 1319620024866 1337862098144 1380253056468 1408614420642 1438165772124 1495274144507 1558012919801 1624147722912 1631208157644 1664726133486 1733679286944 1759493366488 1840337408624 1878152560856 1917554362832 1919447308896 1966387916064 2006793147216 2048893702752 2174944210192 2219634844648 2636637248894 2639240049732 2760506112936 2817228841284 2876331544248 2990548289014 3051997911391 3116025839602 3262416315288 3329452266972 3518986732976 3680674817248 3756305121712 3835108725664 3954955873341 4013586294432 4349888420384 4439269689296 4485822433521 4674038759403 5273274497788 5278480099464 5521012225872 5634457682568 5752663088496 5981096578028 6103995822782 6232051679204 6524832630576 6658904533944 7037973465952 7512610243424 7909911746682 8878539378592 8971644867042 9155993734173 9348077518806 10546548995576 10556960198928 11042024451744 11268915365136 11505326176992 11962193156056 12207991645564 12464103358408 13049665261152 13317809067888 15819823493364 17138142117811 17943289734084 18311987468346 18696155037612 20254167957413 21093097991152 21113920397856 22537830730272 23924386312112 24415983291128 24928206716816 26635618135776 31639646986728 34276284235622 35886579468168 36623974936692 37392310075224 40508335914826 42186195982304 47848772624224 48831966582256 49856413433632 51414426353433 60762503872239 63279293973456 68552568471244 71773158936336 73247949873384 74784620150448 81016671829652 97663933164512 102828852706866 121525007744478 126558587946912 137105136942488 143546317872672 146495899746768 149569240300896 162033343659304 205657705413732 222795847531543 243050015488956 274210273884976 292991799493536 324066687318608 411315410827464 445591695063086 486100030977912 548420547769952 648133374637216 668387542594629 822630821654928 891183390126172 972200061955824 1336775085189258 1645261643309856 1782366780252344 1944400123911648 2673550170378516 3564733560504688 5347100340757032 7129467121009376 10694200681514064 21388401363028128
- Sum of all divisors σ(n): 67764581046044064
- Sum of proper divisors (its aliquot sum) s(n): 46376179683015936
- 21388401363028128 is an abundant number, because the sum of its proper divisors (46376179683015936) is greater than itself. Its abundance is 24987778319987808
Bases of 21388401363028128
- Binary: 10010111111110010100011010000011000111010001000101000002
- Hexadecimal: 0x4BFCA3418E88A0
- Base-36: 5ULJZXVDZMO
Squares and roots of 21388401363028128
- 21388401363028128 squared (213884013630281282) is 457463712865983483676077719184384
- 21388401363028128 cubed (213884013630281283) is 9784417499798709317908403322926050708000610353152
-
The
square root of 21388401363028128 is 146247739.6851935213 -
The
cube root of 21388401363028128 is 277582.9424465149
Scales and comparisons
How big is 21388401363028128?- 21,388,401,363,028,128 seconds is equal to 680,085,004 years, 35 weeks, 17 hours, 8 minutes, 48 seconds.
-
To count from 1 to 21,388,401,363,028,128 would take you about two billion, forty million, two hundred fifty-five thousand and fourteen 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 21388401363028128 cubic inches would be around 23131.9 feet tall.
Recreational maths with 21388401363028128
- 21388401363028128 backwards is 82182036310488312
- The number of decimal digits it has is: 17
- The sum of 21388401363028128's digits is 60
- 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 21388401363028128 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 21388401363028128 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/21388401363028128/
Chicago style:
Numbermatics. 2024. "Number 21388401363028128 - Facts about the integer". https://numbermatics.com/n/21388401363028128/
The information we have on file for 21388401363028128 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 21388401363028128, math, Factors of 21388401363028128, curriculum, school, college, exams, university, Prime factorization of 21388401363028128, STEM, science, technology, engineering, physics, economics, calculator, twenty-one quadrillion, three hundred eighty-eight trillion, four hundred one billion, three hundred sixty-three million, twenty-eight thousand, one hundred twenty-eight.