3998692487920402272
3,998,692,487,920,402,272 is an even composite number composed of eight prime numbers multiplied together.
What does the number 3998692487920402272 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
3998692487920402272 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 3998692487920402272:
25 × 3 × 7 × 11 × 13 × 37 × 1051 × 1070060311
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 37 × 1051 × 1070060311)See below for interesting mathematical facts about the number 3998692487920402272 from the Numbermatics database.
Names of 3998692487920402272
- Cardinal: 3998692487920402272 can be written as Three quintillion, nine hundred ninety-eight quadrillion, six hundred ninety-two trillion, four hundred eighty-seven billion, nine hundred twenty million, four hundred two thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 3.998692487920402272 × 1018
Factors of 3998692487920402272
- Number of distinct prime factors ω(n): 8
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1070061435
Divisors of 3998692487920402272
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 37 39 42 44 48 52 56 66 74 77 78 84 88 91 96 104 111 112 132 143 148 154 156 168 176 182 208 222 224 231 259 264 273 286 296 308 312 336 352 364 407 416 429 444 462 481 518 528 546 572 592 616 624 672 728 777 814 858 888 924 962 1001 1036 1051 1056 1092 1144 1184 1221 1232 1248 1443 1456 1554 1628 1716 1776 1848 1924 2002 2072 2102 2184 2288 2442 2464 2849 2886 2912 3003 3108 3153 3256 3367 3432 3552 3696 3848 4004 4144 4204 4368 4576 4884 5291 5698 5772 6006 6216 6306 6512 6734 6864 7357 7392 7696 8008 8288 8408 8547 8736 9768 10101 10582 11396 11544 11561 12012 12432 12612 13024 13468 13663 13728 14714 15392 15873 16016 16816 17094 19536 20202 21164 22071 22792 23088 23122 24024 24864 25224 26936 27326 29428 31746 32032 33632 34188 34683 37037 38887 39072 40404 40989 42328 44142 45584 46176 46244 48048 50448 53872 54652 58856 63492 68376 69366 74074 77774 80808 80927 81978 84656 88284 91168 92488 95641 96096 100896 107744 109304 111111 116661 117712 126984 136752 138732 148148 150293 155548 161616 161854 163956 169312 176568 184976 191282 218608 222222 233322 235424 242781 253968 272209 273504 277464 286923 296296 300586 311096 323232 323708 327912 353136 369952 382564 427757 437216 444444 450879 466644 485562 505531 507936 544418 554928 573846 592592 601172 622192 647416 655824 706272 765128 816627 855514 888888 901758 933288 971124 1011062 1052051 1088836 1109856 1147692 1185184 1202344 1244384 1283271 1294832 1311648 1516593 1530256 1633254 1711028 1777776 1803516 1866576 1942248 2022124 2104102 2177672 2295384 2404688 2566542 2589664 2994299 3033186 3060512 3156153 3266508 3422056 3538717 3555552 3607032 3733152 3884496 4044248 4208204 4355344 4590768 4809376 5133084 5560841 5988598 6066372 6312306 6533016 6844112 7077434 7214064 7768992 8088496 8416408 8710688 8982897 9181536 10266168 10616151 11121682 11977196 12132744 12624612 13066032 13688224 14154868 14428128 16176992 16682523 16832816 17965794 20532336 21232302 22243364 23954392 24265488 25249224 26132064 28309736 33365046 33665632 35931588 38925887 41064672 42464604 44486728 47908784 48530976 50498448 56619472 66730092 71863176 77851774 84929208 88973456 95817568 100996896 113238944 116777661 133460184 143726352 155703548 169858416 177946912 233555322 266920368 287452704 311407096 339716832 467110644 533840736 622814192 934221288 1070060311 1245628384 1868442576 2140120622 3210180933 3736885152 4280241244 6420361866 7490422177 8560482488 11770663421 12840723732 13910784043 14980844354 17120964976 22471266531 23541326842 25681447464 27821568086 29961688708 34241929952 35311990263 39592231507 41732352129 44942533062 47082653684 51362894928 55643136172 59923377416 70623980526 79184463014 82394643947 83464704258 89885066124 94165307368 97375488301 102725789856 111286272344 118776694521 119846754832 141247961052 153018624473 158368926028 164789287894 166929408516 179770132248 188330614736 194750976602 222572544688 237553389042 239693509664 247183931841 277145620549 282495922104 292126464903 306037248946 316737852056 329578575788 333858817032 359540264496 376661229472 389501953204 435514546577 445145089376 459055873419 475106778084 494367863682 514699009591 554291241098 564991844208 584252929806 612074497892 633475704112 659157151576 667717634064 719080528992 779003906408 831436861647 871029093154 918111746838 950213556168 988735727364 1029398019182 1071130371311 1108582482196 1124633386861 1129983688416 1168505859612 1224148995784 1266951408224 1306543639731 1318314303152 1335435268128 1544097028773 1558007812816 1662873723294 1742058186308 1836223493676 1900427112336 1977471454728 2058796038364 2142260742622 2217164964392 2249266773722 2337011719224 2448297991568 2613087279462 2636628606304 3048601826039 3088194057546 3116015625632 3213391113933 3325747446588 3373900160583 3484116372616 3602893067137 3672446987352 3800854224672 3954942909456 4117592076728 4284521485244 4434329928784 4498533547444 4674023438448 4896595983136 5226174558924 5661689105501 6097203652078 6176388115092 6426782227866 6651494893176 6747800321166 6968232745232 7205786134274 7344893974704 7872433708027 7909885818912 8235184153456 8569042970488 8868659857568 8997067094888 9145805478117 9348046876896 10452349117848 10808679201411 11323378211002 12194407304156 12352776230184 12370967255471 12853564455732 13302989786352 13495600642332 13936465490464 14411572268548 14620234029193 14689787949408 15744867416054 16470368306912 16985067316503 17138085940976 17994134189776 18291610956234 20904698235696 21617358402822 22646756422004 23617301124081 24388814608312 24705552460368 24741934510942 25707128911464 26605979572704 26991201284664 28823144537096 29240468058386 31489734832108 33970134633006 34276171881952 35988268379552 36583221912468 37112901766413 39631823738507 41611435313857 41809396471392 43234716805644 43860702087579 45293512844008 47234602248162 48777629216624 49411104920736 49483869021884 51414257822928 53982402569328 57646289074192 58480936116772 62979469664216 67940269266012 73166443824936 74225803532826 79263647477014 83222870627714 86469433611288 86596770788297 87721404175158 90587025688016 94469204496324 97555258433248 98967738043768 102341638204351 102828515645856 107964805138656 115292578148384 116961872233544 118895471215521 124834305941571 125958939328432 135880538532024 146332887649872 148451607065652 158527294954028 160822574321123 166445741255428 172938867222576 173193541576594 175442808350316 181174051376032 188938408992648 197935476087536 204683276408702 233923744467088 237790942431042 249668611883142 251917878656864 259790312364891 271761077064048 291280047196999 292665775299744 296903214131304 307024914613053 317054589908056 321645148642246 332891482510856 345877734445152 346387083153188 350885616700632 377876817985296 395870952175072 409366552817404 457725788452427 467847488934176 475581884862084 482467722963369 499337223766284 519580624729782 540948659080141 543522154128096 582560094393998 593806428262608 614049829226106 634109179816112 643290297284492 665782965021712 692774166306376 701771233401264 755753635970592 818733105634808 873840141590997 915451576904854 951163769724168 964935445926738 998674447532568 1039161249459564 1081897318160282 1125758020247861 1165120188787996 1187612856525216 1228099658452212 1268218359632224 1286580594568984 1331565930043424 1373177365357281 1385548332612752 1403542466802528 1622845977240423 1637466211269616 1747680283181994 1830903153809708 1902327539448336 1929870891853476 1997348895065136 2078322498919128 2163794636320564 2251516040495722 2330240377575992 2456199316904424 2573161189137968 2746354730714562 2771096665225504 3204080519166989 3245691954480846 3274932422539232 3377274060743583 3495360566363988 3661806307619416 3786640613560987 3804655078896672 3859741783706952 3994697790130272 4156644997838256 4327589272641128 4503032080991444 4660480755151984 4912398633808848 5146322378275936 5492709461429124 5950435249881551 6408161038333978 6491383908961692 6754548121487166 6990721132727976 7323612615238832 7573281227121974 7719483567413904 8313289995676512 8655178545282256 9006064161982888 9320961510303968 9612241557500967 9824797267617696 10985418922858248 11359921840682961 11900870499763102 12816322076667956 12982767817923384 13509096242974332 13981442265455952 14647225230477664 15146562454243948 15438967134827808 17310357090564512 17851305749644653 18012128323965776 19224483115001934 21970837845716496 22719843681365922 23801740999526204 25632644153335912 25965535635846768 27018192485948664 27962884530911904 30293124908487896 35702611499289306 36024256647931552 38448966230003868 41653046749170857 43941675691432992 45439687362731844 47603481999052408 51265288306671824 51931071271693536 54036384971897328 60586249816975792 71405222998578612 76897932460007736 83306093498341714 90879374725463688 95206963998104816 102530576613343648 108072769943794656 121172499633951584 124959140247512571 142810445997157224 153795864920015472 166612186996683428 181758749450927376 190413927996209632 249918280495025142 285620891994314448 307591729840030944 333224373993366856 363517498901854752 499836560990050284 571241783988628896 666448747986733712 999673121980100568 1332897495973467424 1999346243960201136 3998692487920402272
- Sum of all divisors σ(n): 14487965479939424256
- Sum of proper divisors (its aliquot sum) s(n): 10489272992019021984
- 3998692487920402272 is an abundant number, because the sum of its proper divisors (10489272992019021984) is greater than itself. Its abundance is 6490580504098619712
Bases of 3998692487920402272
- Binary: 110111011111100011010110100001101111001000010010111111011000002
- Hexadecimal: 0x377E35A1BC84BF60
- Base-36: UDOQ6P8FA0DC
Squares and roots of 3998692487920402272
- 3998692487920402272 squared (39986924879204022722) is 15989541612951056469975401270302761984
- 3998692487920402272 cubed (39986924879204022723) is 63937259932998061834002075134135569674068362465948827648
-
The
square root of 3998692487920402272 is 1999673095.2634238691 -
The
cube root of 3998692487920402272 is 1587228.0709480479
Scales and comparisons
How big is 3998692487920402272?- 3,998,692,487,920,402,272 seconds is equal to 127,146,052,347 years, 46 weeks, 4 days, 6 hours, 51 minutes, 12 seconds.
-
To count from 1 to 3,998,692,487,920,402,272 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 3998692487920402272 cubic inches would be around 132269 feet tall.
Recreational maths with 3998692487920402272
- 3998692487920402272 backwards is 2722040297842968993
- The number of decimal digits it has is: 19
- The sum of 3998692487920402272's digits is 93
- More coming soon!
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The information we have on file for 3998692487920402272 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!
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