990828525139328268
990,828,525,139,328,268 is an even composite number composed of five prime numbers multiplied together.
What does the number 990828525139328268 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1368 divisors.
990828525139328268 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred sixty-eight divisors.
Prime factorization of 990828525139328268:
22 × 318 × 193 × 312 × 97
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 19 × 19 × 31 × 31 × 97)See below for interesting mathematical facts about the number 990828525139328268 from the Numbermatics database.
Names of 990828525139328268
- Cardinal: 990828525139328268 can be written as Nine hundred ninety quadrillion, eight hundred twenty-eight trillion, five hundred twenty-five billion, one hundred thirty-nine million, three hundred twenty-eight thousand, two hundred sixty-eight.
Scientific notation
- Scientific notation: 9.90828525139328268 × 1017
Factors of 990828525139328268
Divisors of 990828525139328268
- Number of divisors d(n): 1368
-
Complete list of divisors:
1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 81 93 97 108 114 124 162 171 186 194 228 243 279 291 324 342 361 372 388 486 513 558 582 589 684 722 729 837 873 961 972 1026 1083 1116 1164 1178 1444 1458 1539 1674 1746 1767 1843 1922 2052 2166 2187 2356 2511 2619 2883 2916 3007 3078 3249 3348 3492 3534 3686 3844 4332 4374 4617 5022 5238 5301 5529 5766 6014 6156 6498 6561 6859 7068 7372 7533 7857 8649 8748 9021 9234 9747 10044 10476 10602 11058 11191 11532 12028 12996 13122 13718 13851 15066 15714 15903 16587 17298 18042 18259 18468 19494 19683 20577 21204 22116 22382 22599 23571 25947 26244 27063 27436 27702 29241 30132 31428 31806 33174 33573 34596 35017 36084 36518 38988 39366 41154 41553 44764 45198 47142 47709 49761 51894 54126 54777 55404 57133 58482 59049 61731 63612 66348 67146 67797 70034 70713 73036 77841 78732 81189 82308 83106 87723 90396 93217 94284 95418 99522 100719 103788 105051 108252 109554 114266 116964 118098 123462 124659 134292 135594 140068 141426 143127 149283 155682 162378 164331 166212 171399 175446 177147 185193 186434 190836 199044 201438 203391 210102 212139 212629 219108 228532 233523 236196 243567 246924 249318 263169 271188 279651 282852 286254 298566 302157 311364 315153 324756 328662 342798 346921 350892 354294 370386 372868 373977 402876 406782 420204 424278 425258 429381 447849 467046 487134 492993 498636 514197 526338 531441 555579 559302 572508 597132 604314 610173 630306 636417 637887 657324 665323 685596 693842 700569 708588 730701 740772 747954 789507 813564 838953 848556 850516 858762 895698 906471 934092 945459 974268 985986 1028394 1040763 1052676 1062882 1085527 1111158 1118604 1121931 1208628 1220346 1260612 1272834 1275774 1288143 1330646 1343547 1387684 1401138 1461402 1478979 1495908 1542591 1579014 1594323 1666737 1677906 1717524 1771123 1791396 1812942 1830519 1890918 1909251 1913661 1971972 1995969 2056788 2081526 2101707 2125764 2171054 2192103 2222316 2243862 2368521 2440692 2516859 2545668 2551548 2576286 2661292 2687094 2719413 2802276 2836377 2922804 2957958 3085182 3122289 3158028 3188646 3256581 3333474 3355812 3365793 3542246 3625884 3661038 3781836 3818502 3827322 3864429 3991938 4030641 4163052 4203414 4342108 4384206 4436937 4487724 4627773 4737042 4782969 5000211 5033718 5152572 5313369 5374188 5438826 5491557 5672754 5727753 5740983 5915916 5987907 6170364 6244578 6305121 6377292 6513162 6576309 6591499 6666948 6731586 7084492 7105563 7322076 7550577 7637004 7654644 7728858 7983876 8061282 8158239 8406828 8509131 8768412 8873874 9255546 9366867 9474084 9565938 9769743 10000422 10067436 10097379 10626738 10877652 10983114 11345508 11455506 11481966 11593287 11975814 12091923 12489156 12610242 13026324 13152618 13182998 13310811 13463172 13883319 14211126 14348907 15000633 15101154 15457716 15940107 16122564 16316478 16474671 17018262 17183259 17222949 17747748 17963721 18511092 18733734 18915363 19131876 19539486 19728927 19774497 20000844 20194758 20625013 21253476 21316689 21966228 22651731 22911012 22963932 23186574 23951628 24183846 24474717 25220484 25527393 26305236 26365996 26621622 27766638 28100601 28422252 28697814 29309229 30001266 30202308 30292137 31880214 32632956 32949342 33651337 34036524 34366518 34445898 34779861 35927442 36275769 37467468 37830726 39078972 39457854 39548994 39932433 40389516 41250026 41649957 42633378 43046721 45001899 45303462 46373148 47820321 48367692 48949434 49424013 51054786 51549777 51668847 53243244 53891163 55533276 56201202 56746089 57395628 58618458 59186781 59323491 60002532 60584274 61875039 63760428 63950067 65898684 67302674 67955193 68733036 68891796 69559722 71854884 72551538 73424151 75661452 76582179 78915708 79097988 79864866 82500052 83299914 84301803 85266756 86093442 87927687 90003798 90606924 90876411 95640642 97898868 98848026 100954011 102109572 103099554 103337694 104339583 107782326 108827307 112402404 113492178 117236916 118373562 118646982 119797299 121168548 123750078 124949871 127900134 129140163 134605348 135005697 135910386 139119444 143460963 145103076 146848302 148272039 153164358 154649331 155006541 159729732 161673489 166599828 168603606 170238267 172186884 175855374 177560343 177970473 180007596 181752822 185625117 191281284 191850201 197696052 201908022 203865579 206199108 206675388 208679166 215564652 217654614 220272453 226984356 229746537 236747124 237293964 239594598 247500156 249899742 252905409 255800268 258280326 263783061 270011394 271820772 272629233 286921926 293696604 296544078 302862033 306328716 309298662 310013082 313018749 323346978 326481921 337207212 340476534 351710748 355120686 355940946 359391897 363505644 371250234 374849613 383700402 387420489 403816044 405017091 407731158 417358332 430382889 435309228 440544906 444816117 459493074 463947993 465019623 479189196 485020467 499799484 505810818 510714801 516560652 527566122 532681029 533911419 540022788 545258466 556875351 573843852 575550603 593088156 605724066 611596737 618597324 620026164 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45106903431 46481352012 46619598843 48040140636 49063649346 49539335697 50106383244 50222119284 50709037338 51789407643 52382210436 52890071202 53526206079 55157198508 55828408491 57529551132 57662433252 58221487314 60142537908 60725637306 61456014387 62159465124 64099283823 65612768742 66052447596 69052543524 69722028018 71368274772 73595474019 74437877988 75159574866 75333178926 76063556007 78573315654 79335106803 81941352516 82735797762 85465711764 86294326698 86493649878 87332230971 90213806862 91088455959 93239197686 98127298692 98419153113 99078671394 101418074676 103578815286 104583042027 105780142404 107052412158 111656816982 112999768389 116442974628 117859973481 121451274612 122912028774 124103696643 128198567646 129441490047 129740474817 131225537484 135320710293 139444056036 139858796529 147190948038 148618007091 150319149732 150666357852 152127112014 155368222929 157146631308 158670213606 160578618237 165471595524 167485225473 172588653396 172987299756 174664461942 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776648940282 778442848902 785990078739 811924261758 819796103631 883145688228 885772378017 891708042546 912762672084 932209337574 941247378243 952021281636 963471709422 1004911352838 1016997915501 1047986771652 1060739761329 1093061471508 1106208258966 1153787108814 1164973410423 1167664273353 1181029837356 1217886392637 1254996504324 1324718532342 1337562063819 1355997220668 1398314006361 1414319681772 1428031922454 1445207564133 1489244359716 1507367029257 1553297880564 1556885697804 1571980157478 1623848523516 1639592207262 1659312388449 1730680663221 1771544756034 1783416085092 1864418675148 1882494756486 1926943418844 1987077798513 2009822705676 2033995831002 2121479522658 2212416517932 2307574217628 2329946820846 2335328546706 2357970236217 2435772785274 2459388310893 2649437064684 2657317134051 2675124127638 2796628012722 2823742134729 2856063844908 2890415128266 3014734058514 3050993746503 3143960314956 3182219283987 3279184414524 3318624776898 3461361326442 3502992820059 3543089512068 3653659177911 3764989512972 3974155597026 4012686191457 4067991662004 4194942019083 4242959045316 4335622692399 4522101087771 4659893641692 4670657093412 4715940472434 4871545570548 4918776621786 4977937165347 5192041989663 5314634268102 5350248255276 5593256025444 5647484269458 5780830256532 5961233395539 6029468117028 6101987493006 6364438567974 6637249553796 6922722652884 7005985640118 7073910708651 7307318355822 7378164932679 7948311194052 8025372382914 8389884038166 8471226404187 8671245384798 9044202175542 9152981239509 9431880944868 9546657851961 9837553243572 9955874330694 10384083979326 10508978460177 10629268536204 10960977533733 11294968538916 11922466791078 12038058574371 12203974986012 12584826057249 12728877135948 13566303263313 14011971280236 14147821417302 14614636711644 14756329865358 14933811496041 15576125968989 16050744765828 16779768076332 16942452808374 17342490769596 17883700186617 18088404351084 18305962479018 19093315703922 19911748661388 20768167958652 21017956920354 21921955067466 22134494798037 23844933582156 24076117148742 25169652114498 25413679212561 27132606526626 27458943718527 28295642834604 28639973555883 29512659730716 29867622992082 31152251937978 31526935380531 32882932601199 33884905616748 35767400373234 36114175723113 36611924958036 37754478171747 38186631407844 42035913840708 43843910134932 44268989596074 44801434488123 46728377906967 48152234297484 50339304228996 50827358425122 53651100559851 54265213053252 54917887437054 57279947111766 59735245984164 62304503875956 63053870761062 65765865202398 71534800746468 72228351446226 75508956343494 76241037637683 82376831155581 85919920667649 88537979192148 89602868976246 93456755813934 94580806141593 98648797803597 101654716850244 107302201119702 109835774874108 113263434515241 114559894223532 126107741522124 131531730404796 134404303464369 140185133720901 144456702892452 151017912686988 152482075275366 160953301679553 164753662311162 171839841335298 179205737952492 186913511627868 189161612283186 197297595607194 214604402239404 226526869030482 228723112913049 257759762002947 268808606928738 280370267441802 283742418424779 295946393410791 304964150550732 321906603359106 329507324622324 339790303545723 343679682670596 378323224566372 394595191214388 420555401162703 453053738060964 457446225826098 482859905038659 515519524005894 537617213857476 560740534883604 567484836849558 591892786821582 643813206718212 679580607091446 686169338739147 841110802325406 851227255274337 887839180232373 914892451652196 965719810077318 1019370910637169 1031039048011788 1134969673699116 1183785573643164 1359161214182892 1372338677478294 1448579715115977 1682221604650812 1702454510548674 1775678360464746 1931439620154636 2038741821274338 2553681765823011 2663517540697119 2744677354956588 2897159430231954 3058112731911507 3404909021097348 3551356720929492 4077483642548676 4345739145347931 5107363531646022 5327035081394238 5794318860463908 6116225463823014 7990552622091357 8691478290695862 9174338195734521 10214727063292044 10654070162788476 12232450927646028 13037217436043793 15981105244182714 17382956581391724 18348676391469042 26074434872087586 27523014587203563 31962210488365428 36697352782938084 52148869744175172 55046029174407126 82569043761610689 110092058348814252 165138087523221378 247707131284832067 330276175046442756 495414262569664134 990828525139328268
- Sum of all divisors σ(n): 2866063273740890160
- Sum of proper divisors (its aliquot sum) s(n): 1875234748601561892
- 990828525139328268 is an abundant number, because the sum of its proper divisors (1875234748601561892) is greater than itself. Its abundance is 884406223462233624
Bases of 990828525139328268
- Binary: 1101110000000010000101001011010000100100000011111101000011002
- Hexadecimal: 0xDC0214B4240FD0C
- Base-36: 7J03ECM1JOR0
Squares and roots of 990828525139328268
- 990828525139328268 squared (9908285251393282682) is 981741166229776469565901766263879824
- 990828525139328268 cubed (9908285251393282683) is 972737151804013526734784682893906611742866806838064832
-
The
square root of 990828525139328268 is 995403699.5808927915 -
The
cube root of 990828525139328268 is 996933.4475817331
Scales and comparisons
How big is 990828525139328268?- 990,828,525,139,328,268 seconds is equal to 31,505,282,265 years, 29 weeks, 5 days, 3 hours, 37 minutes, 48 seconds.
-
To count from 1 to 990,828,525,139,328,268 would take you about ninety-four billion, five hundred fifteen million, eight hundred forty-six thousand, seven hundred ninety-six 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 990828525139328268 cubic inches would be around 83077.8 feet tall.
Recreational maths with 990828525139328268
- 990828525139328268 backwards is 862823931525828099
- The number of decimal digits it has is: 18
- The sum of 990828525139328268's digits is 90
- More coming soon!
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"Number 990828525139328268 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 990828525139328268 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/990828525139328268/
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The information we have on file for 990828525139328268 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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