428789916790893216
428,789,916,790,893,216 is an even composite number composed of seven prime numbers multiplied together.
428789916790893216 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 428789916790893216:
25 × 32 × 132 × 172 × 59 × 127 × 20172
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 17 × 17 × 59 × 127 × 2017 × 2017)See below for interesting mathematical facts about the number 428789916790893216 from the Numbermatics database.
Names of 428789916790893216
- Cardinal: 428789916790893216 can be written as Four hundred twenty-eight quadrillion, seven hundred eighty-nine trillion, nine hundred sixteen billion, seven hundred ninety million, eight hundred ninety-three thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.28789916790893216 × 1017
Factors of 428789916790893216
Divisors of 428789916790893216
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 59 68 72 78 96 102 104 117 118 127 136 144 153 156 169 177 204 208 221 234 236 254 272 288 289 306 312 338 354 381 408 416 442 468 472 507 508 531 544 578 612 624 663 676 708 762 767 816 867 884 936 944 1003 1014 1016 1062 1143 1156 1224 1248 1326 1352 1416 1521 1524 1534 1632 1651 1734 1768 1872 1888 1989 2006 2017 2028 2032 2124 2159 2286 2301 2312 2448 2601 2652 2704 2832 2873 3009 3042 3048 3068 3302 3468 3536 3744 3757 3978 4012 4034 4056 4064 4248 4318 4572 4602 4624 4896 4953 5202 5304 5408 5664 5746 6018 6051 6084 6096 6136 6477 6604 6903 6936 7072 7493 7514 7956 8024 8068 8112 8496 8619 8636 9027 9144 9204 9248 9906 9971 10404 10608 11271 11492 12036 12102 12168 12192 12272 12954 13039 13208 13806 13872 14859 14986 15028 15912 16048 16136 16224 16992 17051 17238 17272 18054 18153 18288 18408 19431 19812 19942 20808 21216 21463 22479 22542 22984 24072 24204 24336 24544 25857 25908 26078 26221 26416 27612 27744 28067 29718 29913 29972 30056 31824 32096 32272 33813 34102 34289 34476 34544 36108 36306 36576 36703 36816 38862 39117 39624 39884 41616 42926 44958 45084 45968 48144 48408 48672 48841 51153 51714 51816 52156 52442 52832 55224 56134 59436 59826 59944 60112 63648 64389 64544 67437 67626 68204 68578 68952 69088 72216 72612 73406 73632 77724 78234 78663 79248 79768 83232 84201 85852 89739 89916 90168 91936 96288 96816 97409 97682 102306 102867 103428 103632 104312 104884 110109 110448 112268 117351 118872 119003 119652 119888 120224 127381 128778 134874 135252 136408 137156 137904 144432 145224 146523 146812 153459 155448 156468 157326 158496 159536 168402 169507 171704 179478 179832 180336 193167 193632 194818 195364 204612 205734 206856 207264 208624 209768 220218 220896 221663 224536 234702 235989 237744 238006 239304 239776 252603 254762 256159 257556 269748 270504 272816 274312 275808 288864 290448 292227 293046 293624 306918 308601 310896 312936 314652 319072 330327 336804 339014 340873 343408 357009 358956 359664 360672 364871 382143 386334 389636 390728 409224 411468 413712 417248 419536 439569 440436 443326 445757 449072 469404 471978 475488 476012 477139 478608 505206 508521 509524 512318 515112 539496 541008 545632 548624 580896 582913 584454 586092 587248 613836 617202 621792 625872 629304 660654 664989 673608 678028 681746 686816 714018 717912 719328 729742 764286 768477 772668 779272 781456 818448 822936 827424 839072 876681 879138 880872 886652 891514 898144 938808 943956 952024 954278 957216 1010412 1017042 1019048 1022619 1024636 1030224 1071027 1078992 1082016 1094613 1097248 1146429 1165826 1168908 1172184 1174496 1227672 1234404 1251744 1258608 1266317 1321308 1329978 1337271 1347216 1356056 1363492 1428036 1431417 1435824 1459484 1525563 1528572 1536954 1545336 1547039 1558544 1562912 1636896 1645872 1655953 1748739 1753362 1758276 1761744 1773304 1783028 1877616 1887912 1904048 1908556 1994967 2020824 2023051 2034084 2038096 2045238 2049272 2060448 2142054 2157984 2165477 2189226 2292858 2305431 2331652 2337816 2344368 2455344 2468808 2517216 2532634 2642616 2659956 2674542 2694432 2712112 2726984 2856072 2862834 2871648 2881619 2918968 3051126 3057144 3067857 3073908 3090672 3094078 3117088 3283839 3291744 3311906 3330067 3497478 3506724 3516552 3523488 3546608 3566056 3755232 3775824 3798951 3808096 3817112 3989934 4011813 4041648 4046102 4068168 4068289 4076192 4090476 4098544 4284108 4294251 4330954 4354703 4378452 4585716 4610862 4641117 4663304 4675632 4688736 4910688 4937616 4967859 5065268 5246217 5285232 5319912 5349084 5424224 5453968 5712144 5725668 5763238 5794841 5837936 6069153 6102252 6114288 6135714 6147816 6181344 6188156 6202807 6496431 6567678 6623812 6660134 6994956 7013448 7033104 7093216 7132112 7551648 7577869 7597902 7634224 7979868 8023626 8083296 8092204 8136336 8136578 8180952 8197088 8568216 8588502 8644857 8661908 8709406 8756904 9171432 9221724 9282234 9326608 9351264 9875232 9935718 9990201 10130536 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243389457714 243869515816 244552988368 245199493344 258938458272 260524461678 261953060421 274353205293 275122111914 277168136544 277473582956 278986825104 280516663128 281069950432 293795558424 298636822334 299556255648 300265481256 314479231848 316203694236 318278521626 320645491296 322403766672 324519276952 338611830048 340685834502 342554002089 347365948904 349270747228 365084186571 365804273724 366829482552 367799240016 374022217504 390786692517 391727411232 396287963201 397398606098 400353975008 416210374434 418480237656 419305642464 420774994692 421604925648 424371362168 447955233501 449334383472 450398221884 454247779336 456738669452 477417782439 480968236944 483605650008 486778915428 487739031632 489105976736 511028751753 518222721109 521048923356 523906120842 548706410586 550244223828 554947165912 557973650208 561033326256 587591116848 596097909147 597273644668 600530962512 624315561651 628958463696 632407388472 636557043252 644807533344 649038553904 681371669004 685108004178 689603463523 694731897808 698541494456 730168373142 731608547448 733658965104 735598480032 738152641421 781573385034 785859181263 792575926402 794797212196 832420748868 836960475312 841549989384 843209851296 848742724336 895910467002 898668766944 900796443768 901789144607 908495558672 913477338904 954835564878 961936473888 967211300016 973557830856 975478063264 1022057503506 1027662006267 1036445442218 1042097846712 1047812241684 1097412821172 1100488447656 1109894331824 1122066652512 1175182233696 1188863889603 1192195818294 1194547289336 1201061925024 1248631123302 1257916927392 1264814776944 1273114086504 1298077107808 1343865700503 1362743338008 1370216008356 1379206927046 1389463795616 1397082988912 1460336746284 1463217094896 1467317930208 1476305282842 1484400675719 1554668163327 1563146770068 1571718362526 1585151852804 1589594424392 1664841497736 1673920950624 1683099978768 1697485448672 1788293727441 1791820934004 1801592887536 1803578289214 1816991117344 1826954677808 1909671129756 1934422600032 1941139345171 1947115661712 2044115007012 2055324012534 2068810390569 2072890884436 2084195693424 2095624483368 2194825642344 2200976895312 2214457924263 2219788663648 2377727779206 2384391636588 2389094578672 2497262246604 2529629553888 2546228173008 2687731401006 2705367433821 2725486676016 2740432016712 2758413854092 2794165977824 2920673492568 2926434189792 2952610565684 2968801351438 3109336326654 3126293540136 3143436725052 3170303705608 3179188848784 3329682995472 3366199957536 3566591668809 3576587454882 3583641868008 3603185775072 3607156578428 3653909355616 3819342259512 3882278690342 3894231323424 4088230014024 4110648025068 4137620781138 4145781768872 4168391386848 4191248966736 4389651284688 4401953790624 4428915848526 4453202027157 4664004489981 4755455558412 4768783273176 4778189157344 4994524493208 5092456346016 5151743521613 5375462802012 5410734867642 5450973352032 5480864033424 5516827708184 5823418035513 5841346985136 5905221131368 5937602702876 6206431171707 6218672653308 6252587080272 6286873450104 6340607411216 6358377697568 6643373772789 6659365990944 6736895374417 7133183337618 7153174909764 7167283736016 7214313156856 7638684519024 7764557380684 8116102301463 8176460028048 8221296050136 8275241562276 8291563537744 8382497933472 8779302569376 8809786258853 8857831697052 8906404054314 9328008979962 9510911116824 9537566546352 9989048986416 10303487043226 10750925604024 10821469735284 10961728066848 11033655416368 11646836071026 11682693970272 11723258879891 11810442262736 11875205405752 12412862343414 12437345306616 12505174160544 12573746900208 12681214822432 13286747545578 13359606081471 13473790748834 14266366675236 14306349819528 14334567472032 14428626313712 15277369038048 15455230564839 15529114761368 16232204602926 16352920056096 16442592100272 16550483124552 16583127075488 17470254106539 17619572517706 17715663394104 17812808108628 18656017959924 19021822233648 19075133092704 19978097972832 20210686123251 20606974086452 21501851208048 21642939470568 22067310832736 23293672142052 23446517759782 23620884525472 23750410811504 24825724686828 24874690613232 25147493800416 25234811487223 26429358776559 26573495091156 26719212162942 26947581497668 28532733350472 28612699639056 28857252627424 30910461129678 31058229522736 32464409205852 32885184200544 33100966249104 34940508213078 35169776639673 35239145035412 35431326788208 35625616217256 37312035919848 38043644467296 40421372246502 41213948172904 43003702416096 43285878941136 46365691694517 46587344284104 46893035519564 47500821623008 49651449373656 49749381226464 50469622974446 52858717553118 53146990182312 53438424325884 53895162995336 57065466700944 57225399278112 60632058369753 61820922259356 62116459045472 64928818411704 66201932498208 69881016426156 70339553279346 70478290070824 70862653576416 71251232434512 74624071839696 75704434461669 79288076329677 80842744493004 82427896345808 86571757882272 87579639867421 92731383389034 93174688568208 93786071039128 99302898747312 100939245948892 105509329919019 105717435106236 106293980364624 106876848651768 107790325990672 114130933401888 114527221365089 121264116739506 123641844518712 129857636823408 139762032852312 140679106558692 140956580141648 142502464869024 149248143679392 151408868923338 158576152659354 161685488986008 164855792691616 175159279734842 185462766778068 186349377136416 187572142078256 198605797494624 201878491897784 211018659838038 211434870212472 212587960729248 213753697303536 215580651981344 227113303385007 229054442730178 242528233479012 247283689037424 259715273646816 262738919602263 279524065704624 281358213117384 281913160283296 302817737846676 317152305318708 323370977972016 343581664095267 350318559469684 370925533556136 375144284156512 403756983795568 422037319676076 422869740424944 427507394607072 454226606770014 458108885460356 485056466958024 494567378074848 525477839204526 559048131409248 562716426234768 605635475693352 634304610637416 646741955944032 687163328190534 700637118939368 741851067112272 788216758806789 807513967591136 844074639352152 845739480849888 908453213540028 916217770920712 970112933916048 1030744992285801 1050955678409052 1125432852469536 1211270951386704 1268609221274832 1374326656381068 1401274237878736 1483702134224544 1488853877746157 1576433517613578 1688149278704304 1816906427080056 1832435541841424 1940225867832096 2061489984571602 2101911356818104 2422541902773408 2537218442549664 2748653312762136 2802548475757472 2977707755492314 3152867035227156 3376298557408608 3633812854160112 3664871083682848 4122979969143204 4203822713636208 4466561633238471 5497306625524272 5955415510984628 6305734070454312 7267625708320224 8245959938286408 8407645427272416 8933123266476942 10994613251048544 11910831021969256 12611468140908624 13399684899715413 16491919876572816 17866246532953884 23821662043938512 25222936281817248 26799369799430826 32983839753145632 35732493065907768 47643324087877024 53598739598861652 71464986131815536 107197479197723304 142929972263631072 214394958395446608 428789916790893216
- Sum of all divisors σ(n): 1438340647583024640
- Sum of proper divisors (its aliquot sum) s(n): 1009550730792131424
- 428789916790893216 is an abundant number, because the sum of its proper divisors (1009550730792131424) is greater than itself. Its abundance is 580760814001238208
Bases of 428789916790893216
- Binary: 101111100110101111000101000010100011001011100101010101000002
- Hexadecimal: 0x5F35E2851972AA0
- Base-36: 39A1C8DXQ3S0
Squares and roots of 428789916790893216
- 428789916790893216 squared (4287899167908932162) is 183860792741541127932731791114822656
- 428789916790893216 cubed (4287899167908932163) is 78837654020753083624488237829640030961379211673501696
-
The
square root of 428789916790893216 is 654820522.5791974337 -
The
cube root of 428789916790893216 is 754075.5416336991
Scales and comparisons
How big is 428789916790893216?- 428,789,916,790,893,216 seconds is equal to 13,634,193,019 years, 33 weeks, 6 days, 20 hours, 33 minutes, 36 seconds.
-
To count from 1 to 428,789,916,790,893,216 would take you about forty billion, nine hundred two million, five hundred seventy-nine thousand and fifty-eight 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 428789916790893216 cubic inches would be around 62839.6 feet tall.
Recreational maths with 428789916790893216
- 428789916790893216 backwards is 612398097619987824
- The number of decimal digits it has is: 18
- The sum of 428789916790893216's digits is 99
- More coming soon!
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The information we have on file for 428789916790893216 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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