428838690601224216
428,838,690,601,224,216 is an even composite number composed of five prime numbers multiplied together.
428838690601224216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 428838690601224216:
23 × 311 × 233 × 373 × 491
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 23 × 23 × 23 × 37 × 37 × 37 × 491)See below for interesting mathematical facts about the number 428838690601224216 from the Numbermatics database.
Names of 428838690601224216
- Cardinal: 428838690601224216 can be written as Four hundred twenty-eight quadrillion, eight hundred thirty-eight trillion, six hundred ninety billion, six hundred one million, two hundred twenty-four thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.28838690601224216 × 1017
Factors of 428838690601224216
Divisors of 428838690601224216
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 12 18 23 24 27 36 37 46 54 69 72 74 81 92 108 111 138 148 162 184 207 216 222 243 276 296 324 333 414 444 486 491 529 552 621 648 666 729 828 851 888 972 982 999 1058 1242 1332 1369 1458 1473 1587 1656 1702 1863 1944 1964 1998 2116 2187 2484 2553 2664 2738 2916 2946 2997 3174 3404 3726 3928 3996 4107 4232 4374 4419 4761 4968 5106 5476 5589 5832 5892 5994 6348 6561 6808 7452 7659 7992 8214 8748 8838 8991 9522 10212 10952 11178 11293 11784 11988 12167 12321 12696 13122 13257 14283 14904 15318 16428 16767 17496 17676 17982 18167 19044 19573 19683 20424 22356 22586 22977 23976 24334 24642 26244 26514 26973 28566 30636 31487 32856 33534 33879 35352 35964 36334 36501 36963 38088 39146 39366 39771 42849 44712 45172 45954 48668 49284 50301 50653 52488 53028 53946 54501 57132 58719 59049 61272 62974 67068 67758 68931 71928 72668 73002 73926 78292 78732 79542 80919 85698 90344 91908 94461 97336 98568 100602 101306 101637 106056 107892 109002 109503 110889 114264 117438 118098 119313 125948 128547 134136 135516 137862 145336 146004 147852 150903 151959 156584 157464 159084 161838 163503 171396 176157 177147 183816 188922 201204 202612 203274 206793 215784 218004 219006 221778 234876 236196 238626 242757 251896 257094 259739 271032 275724 283383 292008 295704 301806 303918 304911 318168 323676 327006 328509 332667 342792 352314 354294 357939 377844 385641 402408 405224 406548 413586 417841 436008 438012 443556 450179 452709 455877 469752 472392 477252 485514 490509 514188 519478 528471 551448 566766 603612 607836 609822 620379 647352 654012 657018 665334 672179 704628 708588 715878 724201 728271 755688 771282 779217 813096 827172 835682 850149 876024 887112 900358 905418 911754 914733 954504 971028 981018 985527 998001 1028376 1038956 1056942 1073817 1133532 1156923 1165019 1207224 1215672 1219644 1240758 1253523 1308024 1314036 1330668 1344358 1350537 1358127 1367631 1409256 1417176 1431756 1448402 1456542 1471527 1542564 1558434 1585413 1654344 1671364 1700298 1800716 1810836 1823508 1829466 1861137 1942056 1962036 1971054 1996002 2016537 2077912 2113884 2147634 2172603 2184813 2267064 2313846 2330038 2337651 2439288 2481516 2507046 2550447 2628072 2661336 2688716 2701074 2716254 2735262 2744199 2863512 2896804 2913084 2943054 2956581 2994003 3085128 3116868 3170826 3221451 3342728 3400596 3470769 3495057 3601432 3621672 3647016 3658932 3722274 3760569 3924072 3942108 3992004 4033074 4051611 4074381 4102893 4227768 4295268 4345206 4369626 4414581 4627692 4660076 4675302 4756239 4963032 5014092 5100894 5377432 5402148 5432508 5470524 5488398 5583411 5793608 5826168 5886108 5913162 5973997 5988006 6049611 6233736 6341652 6442902 6517809 6554439 6801192 6941538 6990114 7012953 7317864 7444548 7521138 7651341 7884216 7984008 8066148 8103222 8148762 8205786 8232597 8590536 8690412 8739252 8829162 8869743 8982009 9255384 9320152 9350604 9512478 9610343 9664353 10028184 10201788 10412307 10485171 10804296 10865016 10941048 10976796 11166822 11281707 11772216 11826324 11947994 11976012 12099222 12154833 12308679 12683304 12885804 13035618 13108878 13243743 13883076 13980228 14025906 14268717 14889096 15042276 15302682 15460117 16132296 16206444 16297524 16411572 16465194 16656623 16750233 17380824 17478504 17658324 17739486 17921991 17964018 18148833 18701208 19024956 19220686 19328706 19553427 20403576 20824614 20970342 21038859 21953592 22333644 22563414 22954023 23652648 23895988 23952024 24198444 24309666 24617358 24697791 24870623 25771608 26071236 26217756 26487486 26609229 26795437 26946027 27766152 27960456 28051812 28537434 28831029 28993059 30084552 30605364 30920234 31236921 31455513 32412888 32595048 32823144 32930388 33313246 33500466 33845121 35316648 35478972 35843982 35928036 36297666 36464499 36926037 38049912 38441372 38657412 39106854 39731229 41649228 41940684 42077718 42806151 44667288 45126828 45908046 46380351 47791976 48396888 48619332 49234716 49395582 49741246 49969869 50250699 52142472 52435512 52974972 53218458 53590874 53765973 53892054 54446499 56103624 57074868 57662058 57986118 58660281 61210728 61840468 62473842 62911026 63116577 65860776 66626492 67000932 67690242 68862069 70957944 71687964 71856072 72595332 72928998 73852074 74093373 74611869 76882744 77314824 78213708 79462458 79827687 80386311 80838081 83298456 83881368 84155436 85612302 86493087 86979177 90253656 91816092 92760702 93710763 94366539 97238664 98469432 98791164 99482492 99939738 100501398 101535363 105949944 106436916 107181748 107531946 107784108 108892998 109393497 110778111 114149736 115324116 115972236 117320562 119193687 123680936 124947684 125822052 126233154 128418453 133252984 134001864 135380484 137724138 139141053 143375928 145190664 145857996 147704148 148186746 149223738 149909607 150752097 156427416 158924916 159655374 160772622 161297919 161676162 163339497 168310872 171224604 172986174 173958354 175980843 183632184 185521404 187421526 188733078 189349731 197582328 198964984 199879476 201002796 203070726 206586207 212873832 214363496 215063892 215568216 217785996 218786994 221037889 221556222 222280119 223835607 230648232 231944472 234641124 238387374 239483061 241158933 242514243 249895368 251644104 252466308 256836906 259479261 270760968 275448276 278282106 283099617 291715992 295408296 296373492 298447476 299819214 301504194 304606089 317849832 319310748 321545244 322595838 323352324 326678994 328180491 332334333 342449208 345972348 347916708 351961686 355582691 357581061 371042808 374843052 377466156 378699462 385255359 399758952 402005592 406141452 413172414 417423159 430127784 435571992 437573988 442075778 443112444 444560238 447671214 449728821 469282248 476774748 478966122 482317866 483893757 485028486 490018491 504932616 513673812 518958522 527942529 550896552 556564212 566199234 568049193 572024329 592746984 596894952 599638428 603008388 609212178 616295051 619758621 638621496 643090488 645191676 646704648 653357988 656360982 663113667 664668666 666840357 671506821 691944696 695833416 703923372 711165382 715162122 718449183 723476799 749686104 754932312 757398924 770510718 778437783 812282904 826344828 834846318 849298851 875147976 884151556 886224888 889120476 895342428 899457642 913818267 953549496 957932244 964635732 967787514 970056972 980036982 984541473 997002999 1027347624 1037917044 1055885058 1066748073 1072743183 1113128424 1132398468 1136098386 1144048658 1155766077 1199276856 1206016776 1218424356 1232590102 1239517242 1252269477 1290383352 1306715976 1312721964 1326227334 1329337332 1333680714 1343013642 1349186463 1407846744 1422330764 1430324244 1436898366 1446953598 1451681271 1470055473 1514797848 1541021436 1556875566 1583827587 1652689656 1669692636 1698597702 1704147579 1716072987 1768303112 1778240952 1790684856 1798915284 1827636534 1848885153 1859275863 1915864488 1929271464 1935575028 1940113944 1960073964 1969082946 1989341001 1994005998 2000521071 2014520463 2075834088 2111770116 2133496146 2145486366 2155347549 2170430397 2264796936 2272196772 2288097316 2311532154 2335313349 2436848712 2465180204 2479034484 2504538954 2547896553 2625443928 2652454668 2658674664 2667361428 2686027284 2698372926 2741454801 2844661528 2860648488 2873796732 2893907196 2903362542 2940110946 2953624419 2991008997 3082042872 3113751132 3167655174 3200244219 3218229549 3339385272 3397195404 3408295158 3432145974 3467298231 3597830568 3655273068 3697770306 3718551726 3756808431 3871150056 3920147928 3938165892 3978682002 3988011996 4001042142 4029040926 4047559389 4223540232 4266992292 4290972732 4310695098 4340860794 4355043813 4410166419 4544393544 4576194632 4623064308 4670626698 4751482761 4930360408 4958068968 5009077908 5095793106 5112442737 5148218961 5304909336 5334722856 5372054568 5396745852 5482909602 5546655459 5577827589 5747593464 5787814392 5806725084 5880221892 5907248838 5968023003 5982017994 6043561389 6227502264 6335310348 6400488438 6436459098 6511291191 6794390808 6816590316 6864291948 6934596462 7005940047 7310546136 7395540612 7437103452 7513616862 7643689659 7876331784 7957364004 7976023992 8002084284 8058081852 8095118778 8178401893 8224364403 8533984584 8581945464 8621390196 8681721588 8710087626 8820332838 8860873257 8973026991 9246128616 9341253396 9502965522 9600732657 10018155816 10191586212 10224885474 10296437922 10793491704 10965819204 11093310918 11155655178 11270425293 11613450168 11760443784 11814497676 11936046006 11964035988 12087122778 12142678167 12670620696 12800976876 12872918196 13022582382 13065131439 13156559567 13230499257 13633180632 13728583896 13869192924 14011880094 14254448283 14791081224 14874206904 15027233724 15287379318 15337328211 15444656883 15914728008 16004168568 16116163704 16190237556 16356803786 16448728806 16639966377 17242780392 17363443176 17420175252 17640665676 17721746514 17904069009 17946053982 18130684167 18682506792 19005931044 19201465314 19533873573 20383172424 20449770948 20592875844 21017820141 21931638408 22186621836 22311310356 22540850586 22931068977 23628995352 23872092012 23928071976 24174245556 24285356334 24535205679 24673093209 25601953752 25745836392 26045164764 26130262878 26313119134 26460998514 26582619771 27738385848 28023760188 28508896566 28802197971 30054467448 30574758636 30674656422 30889313766 32380475112 32713607572 32897457612 33279932754 33811275879 34840350504 35281331352 35443493028 35808138018 35892107964 36261368334 36428034501 38011862088 38402930628 39067747146 39195394317 39469678701 39691497771 40899541896 41185751688 42035640282 42763344849 44373243672 44622620712 45081701172 45862137954 46011984633 46333970649 47744184024 48348491112 48570712668 49070411358 49346186418 49919899131 52090329528 52260525756 52626238268 52921997028 53165239542 53712207027 54392052501 56047520376 57017793132 57604395942 58601620719 61149517272 61349312844 61778627532 63053460423 65427215144 65794915224 66559865508 67622551758 68793206931 70886986056 71616276036 71784215928 72522736668 72856069002 73605617037 74019279627 76805861256 78135494292 78390788634 78939357402 79382995542 79747859313 84071280564 85526689698 86406593913 90163402344 91724275908 92023969266 92667941298 97141425336 98140822716 98692372836 99839798262 101433827637 104521051512 105252476536 105843994056 106330479084 107424414054 108784105002 109284103503 114035586264 115208791884 117203241438 117586182951 118409036103 119074493313 122698625688 123557255064 126106920846 128290034547 133119731016 135245103516 137586413862 139001911947 143232552072 145045473336 145712138004 147211234074 148038559254 149759697393 156270988584 156781577268 157878714804 158765991084 159495718626 161136621081 163176157503 168142561128 171053379396 172813187826 175804862157 183448551816 184047938532 185335882596 189160381269 196281645432 197384745672 199679596524 202867655274 206379620793 212660958168 214848828108 217568210004 218568207006 220816851111 230417583768 234406482876 235172365902 236818072206 238148986626 252213841692 256580069094 259219781739 270490207032 275172827724 278003823894 291424276008 294422468148 296077118508 299519394786 302600870041 304301482911 313563154536 315757429608 317531982168 318991437252 322273242162 326352315006 327852310509 342106758792 345626375652 351609724314 352758548853 355227108309 368095877064 370671765192 378320762538 399359193048 405735310548 412759241586 417005735841 429697656216 435136420008 437136414012 441633702222 449279092179 468812965752 470344731804 473636144412 476297973252 483409863243 489528472509 504427683384 513160138188 518439563478 527414586471 550345655448 556007647788 567481143807 588844936296 592154237016 599038789572 605201740082 608602965822 637982874504 644546484324 652704630012 655704621018 662450553333 691252751304 703219448628 705517097706 710454216618 756641525076 777659345217 811470621096 825518483172 834011471682 874272828024 883267404444 898558184358 907802610123 912904448733 940689463608 947272288824 952595946504 966819726486 979056945018 983556931527 1026320276376 1036879126956 1054829172942 1058275646559 1065681324927 1112015295576 1134962287614 1198077579144 1210403480164 1217205931644 1251017207523 1289092968648 1305409260024 1311409242036 1324901106666 1347837276537 1406438897256 1411034195412 1420908433236 1450229589729 1468585417527 1513283050152 1555318690434 1582243759413 1651036966344 1668022943364 1702443431421 1766534808888 1797116368716 1815605220246 1825808897466 1933639452972 1958113890036 1967113863054 1987351659999 2073758253912 2109658345884 2116551293118 2131362649854 2269924575228 2332978035651 2420806960328 2434411863288 2502034415046 2622818484072 2649802213332 2695674553074 2723407830369 2738713346199 2822068390824 2841816866472 2900459179458 2937170835054 2950670794581 3110637380868 3164487518826 3197043974781 3336045886728 3404886862842 3594232737432 3631210440492 3651617794932 3753051622569 3867278905944 3916227780072 3934227726108 3974703319998 4043511829611 4219316691768 4233102586236 4262725299708 4350688769187 4405756252581 4539849150456 4665956071302 4746731278239 5004068830092 5299604426664 5391349106148 5446815660738 5477426692398 5800918358916 5874341670108 5901341589162 5962054979997 6221274761736 6328975037652 6394087949562 6809773725684 6998934106953 7262420880984 7303235589864 7506103245138 7868455452216 7949406639996 8087023659222 8170223491107 8466205172472 8525450599416 8701377538374 8811512505162 9331912142604 9493462556478 9591131924343 10008137660184 10782698212296 10893631321476 10954853384796 11259154867707 11601836717832 11748683340216 11802683178324 11924109959994 12130535488833 12657950075304 12788175899124 13052066307561 13619547451368 13997868213906 15012206490276 15898813279992 16174047318444 16340446982214 17402755076748 17623025010324 17886164939991 18663824285208 18986925112956 19182263848686 20996802320859 21787262642952 21909706769592 22518309735414 23605366356648 23848219919988 24261070977666 24510670473321 25576351798248 26104132615122 27995736427812 28773395773029 30024412980552 32348094636888 32680893964428 33777464603121 34805510153496 35246050020648 35772329879982 36391606466499 37973850225912 38364527697372 39156198922683 41993604641718 45036619470828 47696439839976 48522141955332 49021340946642 52208265230244 53658494819973 55991472855624 57546791546058 62990406962577 65361787928856 67554929206242 71544659759964 72783212932998 73532011419963 76729055394744 78312397845366 83987209283436 86320187319087 90073238941656 97044283910664 98042681893284 101332393809363 104416530460488 107316989639946 109174819399497 115093583092116 125980813925154 135109858412484 143089319519928 145566425865996 147064022839926 156624795690732 160975484459919 167974418566872 172640374638174 196085363786568 202664787618726 214633979279892 218349638798994 220596034259889 230187166184232 251961627850308 258960561957261 270219716824968 291132851731992 294128045679852 313249591381464 321950968919838 345280749276348 405329575237452 429267958559784 436699277597988 441192068519778 482926453379757 503923255700616 517921123914522 588256091359704 643901937839676 661788102779667 690561498552696 776881685871783 810659150474904 873398555195976 882384137039556 965852906759514 1035842247829044 1287803875679352 1323576205559334 1448779360139271 1553763371743566 1764768274079112 1931705813519028 1985364308339001 2071684495658088 2330645057615349 2647152411118668 2897558720278542 3107526743487132 3863411627038056 3970728616678002 4661290115230698 5294304822237336 5795117440557084 5956092925017003 6215053486974264 7941457233356004 9322580230461396 11590234881114168 11912185850034006 15882914466712008 17868278775051009 18645160460922792 23824371700068012 35736557550102018 47648743400136024 53604836325153027 71473115100204036 107209672650306054 142946230200408072 214419345300612108 428838690601224216
- Sum of all divisors σ(n): 1298589481163520000
- Sum of proper divisors (its aliquot sum) s(n): 869750790562295784
- 428838690601224216 is an abundant number, because the sum of its proper divisors (869750790562295784) is greater than itself. Its abundance is 440912099961071568
Bases of 428838690601224216
- Binary: 101111100111000101010000100010110110011101011001000000110002
- Hexadecimal: 0x5F38A845B3AC818
- Base-36: 39AIMMRL3DI0
Squares and roots of 428838690601224216
- 428838690601224216 squared (4288386906012242162) is 183902622556572510732904637904814656
- 428838690601224216 cubed (4288386906012242163) is 78864559855291716459628988226567238098926714178909696
-
The
square root of 428838690601224216 is 654857763.6412537913 -
The
cube root of 428838690601224216 is 754104.1319694155
Scales and comparisons
How big is 428838690601224216?- 428,838,690,601,224,216 seconds is equal to 13,635,743,875 years, 49 weeks, 4 days, 12 hours, 3 minutes, 36 seconds.
-
To count from 1 to 428,838,690,601,224,216 would take you about forty billion, nine hundred seven million, two hundred thirty-one thousand, six hundred twenty-seven 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 428838690601224216 cubic inches would be around 62842 feet tall.
Recreational maths with 428838690601224216
- 428838690601224216 backwards is 612422106096838824
- 428838690601224216 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 428838690601224216's digits is 72
- 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 428838690601224216 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 428838690601224216 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/428838690601224216/
Chicago style:
Numbermatics. 2024. "Number 428838690601224216 - Facts about the integer". https://numbermatics.com/n/428838690601224216/
The information we have on file for 428838690601224216 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 428838690601224216, math, Factors of 428838690601224216, curriculum, school, college, exams, university, Prime factorization of 428838690601224216, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight quadrillion, eight hundred thirty-eight trillion, six hundred ninety billion, six hundred one million, two hundred twenty-four thousand, two hundred sixteen.