428147991910394496
428,147,991,910,394,496 is an even composite number composed of eight prime numbers multiplied together.
428147991910394496 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 428147991910394496:
27 × 32 × 13 × 17 × 19 × 401 × 421 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 19 × 401 × 421 × 524287)See below for interesting mathematical facts about the number 428147991910394496 from the Numbermatics database.
Names of 428147991910394496
- Cardinal: 428147991910394496 can be written as Four hundred twenty-eight quadrillion, one hundred forty-seven trillion, nine hundred ninety-one billion, nine hundred ten million, three hundred ninety-four thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 4.28147991910394496 × 1017
Factors of 428147991910394496
Divisors of 428147991910394496
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 19 24 26 32 34 36 38 39 48 51 52 57 64 68 72 76 78 96 102 104 114 117 128 136 144 152 153 156 171 192 204 208 221 228 234 247 272 288 304 306 312 323 342 384 401 408 416 421 442 456 468 494 544 576 608 612 624 646 663 684 741 802 816 832 842 884 912 936 969 988 1088 1152 1203 1216 1224 1248 1263 1292 1326 1368 1482 1604 1632 1664 1684 1768 1824 1872 1938 1976 1989 2176 2223 2406 2432 2448 2496 2526 2584 2652 2736 2907 2964 3208 3264 3368 3536 3609 3648 3744 3789 3876 3952 3978 4199 4446 4812 4896 4992 5052 5168 5213 5304 5472 5473 5814 5928 6416 6528 6736 6817 7072 7157 7218 7296 7488 7578 7619 7752 7904 7956 7999 8398 8892 9624 9792 10104 10336 10426 10608 10944 10946 11628 11856 12597 12832 13472 13634 14144 14314 14436 14976 15156 15238 15504 15639 15808 15912 15998 16419 16796 17784 19248 19584 20208 20451 20672 20852 21216 21471 21888 21892 22857 23256 23712 23997 25194 25664 26944 27268 28288 28628 28872 30312 30476 31008 31278 31616 31824 31996 32838 33592 35568 37791 38496 40416 40902 41344 41704 42432 42942 43784 45714 46512 46917 47424 47994 49257 50388 51328 53888 54536 57256 57744 60624 60952 61353 62016 62556 63648 63992 64413 65676 67184 68571 71136 71991 75582 76992 80832 81804 83408 84864 85884 87568 88621 91428 93024 93041 93834 94848 95988 98514 99047 100776 103987 109072 114512 115488 121248 121904 122706 124032 125112 127296 127984 128826 129523 131352 134368 135983 137142 142272 143982 151164 153984 161664 163608 166816 168821 171768 175136 177242 182856 186048 186082 187668 191976 197028 198094 201552 207974 218144 229024 230976 242496 243808 245412 250224 254592 255968 257652 259046 262704 265863 268736 271966 274284 279123 284544 287964 297141 302328 311961 327216 333632 337642 343536 350272 354484 365712 372096 372164 375336 383952 388569 394056 396188 403104 407949 415948 436288 458048 461952 484992 487616 490824 500448 506463 511936 515304 518092 524287 525408 531726 537472 543932 548568 558246 575928 594282 604656 623922 654432 667264 675284 687072 700544 708968 731424 744328 750672 767904 777138 788112 792376 797589 806208 815898 831896 837369 872576 891423 916096 935883 975232 981648 1000896 1012926 1023872 1030608 1036184 1048574 1050816 1063452 1087864 1097136 1116492 1151856 1165707 1188564 1209312 1223847 1247844 1308864 1350568 1374144 1417936 1462848 1488656 1501344 1519389 1535808 1554276 1572861 1576224 1584752 1595178 1612416 1631796 1663792 1674738 1683799 1767779 1782846 1871766 1963296 2001792 2025852 2061216 2072368 2097148 2101632 2126904 2175728 2194272 2194673 2232984 2303712 2331414 2377128 2418624 2447694 2495688 2617728 2701136 2748288 2835872 2869957 2925696 2977312 3002688 3038778 3071616 3108552 3145722 3152448 3169504 3190356 3207599 3263592 3327584 3349476 3367598 3535558 3565692 3743532 3926592 4051704 4122432 4144736 4194296 4253808 4351456 4388544 4389346 4465968 4607424 4662828 4718583 4754256 4837248 4895388 4991376 5051397 5303337 5402272 5671744 5739914 5954624 6005376 6077556 6217104 6291444 6304896 6339008 6380712 6415198 6527184 6584019 6655168 6698952 6735196 6815731 7071116 7131384 7487064 7853184 8103408 8244864 8289472 8388592 8507616 8609871 8702912 8777088 8778692 8912879 8931936 9214848 9325656 9437166 9508512 9622797 9790776 9961453 9982752 10102794 10606674 10804544 11343488 11479828 11909248 12155112 12434208 12582888 12678016 12761424 12830396 13054368 13168038 13310336 13397904 13470392 13631462 14142232 14262768 14974128 15154191 15910011 16206816 16578944 16777184 17015232 17219742 17405824 17557384 17825758 17863872 18651312 18874332 19017024 19245594 19581552 19752057 19922906 19965504 20205588 20447193 21213348 21609088 22959656 24310224 24868416 25165776 25522848 25660792 25829613 26108736 26336076 26738637 26795808 26940784 27262924 28284464 28525536 28868391 29884359 29948256 30308382 31820022 32413632 33554368 34030464 34439484 35114768 35651516 35727744 37302624 37309441 37748664 38034048 38491188 39163104 39504114 39845812 39931008 40411176 40894386 41698787 42426696 45919312 48620448 49736832 50331552 51045696 51321584 51659226 52217472 52672152 53477274 53591616 53881568 54525848 54529183 56568928 57051072 57736782 59768718 59896512 60616764 61341579 63640044 64827264 67108736 68878968 70229536 71303032 74605248 74618882 75497328 76982376 78326208 79008228 79691624 80215911 80822352 81788772 83397574 84853392 89653077 91838624 97240896 100663104 102091392 102643168 103318452 105344304 106954548 107183232 107763136 109051696 109058366 111928323 113137856 114102144 115473564 115867427 119537436 119793024 121233528 122683158 125096361 127280088 129498889 137757936 140459072 142606064 149210496 149237764 150994656 153964752 156652416 158016456 159383248 160431822 161644704 163577544 163587549 166795148 169344701 169706784 179306154 183677248 194481792 201326208 205286336 206636904 210239087 210688608 213909096 215526272 218103392 218116732 220724827 223856646 226275712 230947128 231734854 239074872 242467056 245366316 250192722 254560176 258997778 275515872 280918144 285212128 298475528 301989312 307929504 316032912 318766496 320863644 323289408 327155088 327175098 333590296 335784969 338689402 339413568 347602281 358612308 367354496 375289083 388496667 410572672 413273808 420478174 421377216 427818192 436206784 436233464 441449654 447713292 461894256 463469708 478149744 484934112 490732632 490762647 500385444 508034103 509120352 517995556 551031744 570424256 596951056 603978624 615859008 630717261 632065824 637532992 641727288 646578816 654310176 654350196 662174481 667180592 671569938 677378804 678827136 695204562 708879379 717224616 750578166 776993334 826547616 840956348 842754432 855636384 872413568 872466928 882899308 895426584 923788512 926939416 956299488 969868224 981465264 981525294 1000770888 1016068206 1018240704 1035991112 1042806843 1102063488 1140848512 1165490001 1193902112 1231718016 1261434522 1264131648 1275065984 1283454576 1308620352 1308700392 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6604443339 6727650784 6979735424 7063194464 7148128958 7163412672 7415515328 7504644118 7568607132 7851722112 7852202352 7946093772 7989085306 8006167104 8128545648 8199324393 8287928896 8342454744 8387543426 8506552548 8608268253 8805924452 9323920008 10091476176 10267636608 10469603136 10594791696 10722193437 10745119008 10838060864 10932432524 11123272992 11256966177 11342070064 11475593856 11477691004 11983627959 12009250656 12192818472 12431893344 12581315139 12759828822 13208886678 13455301568 14126388928 14296257916 14326825344 14831030656 15009288236 15137214264 15704404704 15892187544 15978170612 16012334208 16257091296 16398648786 16575857792 16684909488 16775086852 17013105096 17216536506 17611848904 18647840016 19813330017 20182952352 20939206272 21189583392 21444386874 21490238016 21676121728 21864865048 22246545984 22513932354 22684140128 22955382008 23967255918 24018501312 24385636944 24597973179 24863786688 25162630278 25519657644 25824804759 26417773356 26910603136 28252777856 28592515832 30018576472 30274428528 31408809408 31784375088 31956341224 32166580311 32514182592 32797297572 33369818976 33550173704 33770898531 34026210192 34433073012 35223697808 35950883877 37295680032 37743945417 39626660034 40365904704 42379166784 42888773748 42980476032 43729730096 44493091968 45027864708 45368280256 45910764016 46462838227 47934511836 48037002624 48771273888 48780186767 49195946358 49727573376 50325260556 51039315288 51649609518 51929054489 52835546712 54519032269 57185031664 60037152944 60548857056 62817618816 63568750176 63912682448 64333160622 65028365184 65594595144 66739637952 67100347408 67541797062 67907225101 68052420384 68866146024 70447395616 71294119121 71901767754 74591360064 75487890834 79253320068 80731809408 84758333568 85777547496 87459460192 88510655627 90055729416 90736560512 91821528032 92925676454 95869023672 97542547776 97560373534 98391892716 100650521112 102078630576 103299219036 103858108978 105671093424 109038064538 114370063328 120074305888 121097714112 127137500352 127825364896 128666321244 131189190288 133479275904 134200694816 135083594124 135814450202 136104840768 137732292048 139388514681 140894791232 142588238242 143803535508 146340560301 149182720128 150975781668 155787163467 158506640136 163557096807 171555094992 174918920384 177021311254 180111458832 183643056064 185851352908 191738047344 195085095552 195120747068 196783785432 201301042224 203721675303 204157261152 206598438072 207716217956 211342186848 213882357363 218076129076 228740126656 240148611776 242195428224 254275000704 255650729792 257332642488 262378380576 265531966881 268401389632 270167188248 271628900404 272209681536 275464584096 278777029362 281789582464 285176476484 287607071016 292681120602 301951563336 311574326934 317013280272 327114193614 343110189984 349837840768 354042622508 360222917664 367286112128 371702705816 383476094688 390241494136 393567570864 402602084448 407443350606 408314522304 413196876144 415432435912 418165544043 422684373696 427764714726 436152258152 439021680903 457480253312 467361490401 480297223552 490671290421 511301459584 514665284976 524756761152 531063933762 536802779264 540334376496 543257800808 550929168192 557554058724 570352952968 575214142032 585362241204 603903126672 611165025909 623148653868 634026560544 641647072089 654228387228 686220379968 708085245016 720445835328 743405411632 766952189376 780482988272 787135141728 796595900643 805204168896 814886701212 816629044608 826393752288 830864871824 836331088086 845368747392 855529429452 872304516304 878043361806 882793926313 926823548573 934722980802 981342580842 1029330569952 1049513522304 1062127867524 1080668752992 1086515601616 1101858336384 1115108117448 1140705905936 1150428284064 1150638523151 1170724482408 1207806253344 1222330051818 1246297307736 1268053121088 1283294144178 1308456774456 1372440759936 1416170490032 1440891670656 1486810823264 1504681145659 1533904378752 1560965976544 1574270283456 1593191801286 1610408337792 1629773402424 1652787504576 1661729743648 1672662176172 1681702456913 1711058858904 1744609032608 1756086723612 1765587852626 1853647097146 1869445961604 1962685161684 2058661139904 2124255735048 2161337505984 2173031203232 2230216234896 2281411811872 2300856568128 2301277046302 2341448964816 2415612506688 2444660103636 2492594615472 2536106242176 2566588288356 2616913548912 2648381778939 2780470645719 2832340980064 2973621646528 3009362291318 3121931953088 3148540566912 3186383602572 3259546804848 3305575009152 3323459487296 3345324352344 3363404913826 3422117717808 3451915569453 3489218065216 3512173447224 3531175705252 3707294194292 3738891923208 3925370323368 4117322279808 4248511470096 4322675011968 4346062406464 4460432469792 4514043436977 4562823623744 4601713136256 4602554092604 4682897929632 4831225013376 4889320207272 4985189230944 5045107370739 5133176576712 5233827097824 5296763557878 5560941291438 5664681960128 5947243293056 6018724582636 6243863906176 6372767205144 6519093609696 6646918974592 6690648704688 6726809827652 6844235435616 6903831138906 6978436130432 7024346894448 7062351410504 7414588388584 7477783846416 7850740646736 7945145336817 8341411937157 8497022940192 8692124812928 8920864939584 9028086873954 9125647247488 9205108185208 9365795859264 9778640414544 9970378461888 10090214741478 10266353153424 10355746708359 10467654195648 10593527115756 11121882582876 11329363920256 12037449165272 12745534410288 13038187219392 13381297409376 13453619655304 13542130310931 13688470871232 13807662277812 14048693788896 14124702821008 14829176777168 14955567692832 15135322112217 15701481293472 15890290673634 16682823874314 16994045880384 17841729879168 18056173747908 18410216370416 18731591718528 19557280829088 19560854893567 19940756923776 20180429482956 20532706306848 20711493416718 20935308391296 21187054231512 21862131939869 22243765165752 24074898330544 25491068820576 26076374438784 26762594818752 26907239310608 27084260621862 27376941742464 27615324555624 28097387577792 28249405642016 28588941767521 29658353554336 29911135385664 30270644224434 31402962586944 31780581347268 33365647748628 33988091760768 36112347495816 36820432740832 39114561658176 39121709787134 40360858965912 41065412613696 41422986833436 42374108463024 43724263879738 44487530331504 48149796661088 50982137641152 53525189637504 53814478621216 54168521243724 55230649111248 56194775155584 56498811284032 57177883535042 58682564680701 59316707108672 59822270771328 60541288448868 62805925173888 63561162694536 65586395819607 66731295497256 72224694991632 73640865481664 78229123316352 78243419574268 80721717931824 82130825227392 82845973666872 84748216926048 85766825302563 87448527759476 88975060663008 96299593322176 101964275282304 107628957242432 108337042487448 110461298222496 112997622568064 114355767070084 117365129361402 118633414217344 121082576897736 127122325389072 131172791639214 133462590994512 144449389983264 147281730963328 156486839148536 161443435863648 165691947333744 169496433852096 171533650605126 174897055518952 176047694042103 177950121326016 192599186644352 196759187458821 215257914484864 216674084974896 220922596444992 228711534140168 234730258722804 242165153795472 254244650778144 257300475907689 262345583278428 266925181989024 288898779966528 312973678297072 322886871727296 331383894667488 338992867704192 343067301210252 349794111037904 352095388084206 355900242652032 371656242977773 393518374917642 433348169949792 441845192889984 457423068280336 469460517445608 484330307590944 508489301556288 514600951815378 524691166556856 533850363978048 577797559933056 625947356594144 645773743454592 662767789334976 686134602420504 699588222075808 704190776168412 743312485955546 787036749835284 866696339899584 914846136560672 938921034891216 968660615181888 1016978603112576 1029201903630756 1049382333113712 1067700727956096 1114968728933319 1251894713188288 1325535578669952 1372269204841008 1399176444151616 1408381552336824 1486624971911092 1574073499670568 1733392679799168 1829692273121344 1877842069782432 1937321230363776 2058403807261512 2098764666227424 2229937457866638 2503789426376576 2744538409682016 2798352888303232 2816763104673648 2973249943822184 3148146999341136 3344906186799957 3659384546242688 3755684139564864 4116807614523024 4197529332454848 4459874915733276 5489076819364032 5633526209347296 5946499887644368 6296293998682272 6689812373599914 7511368279129728 8233615229046048 8395058664909696 8919749831466552 10978153638728064 11267052418694592 11892999775288736 12592587997364544 13379624747199828 16467230458092096 17839499662933104 22534104837389184 23785999550577472 25185175994729088 26759249494399656 32934460916184192 35678999325866208 47571999101154944 53518498988799312 71357998651732416 107036997977598624 142715997303464832 214073995955197248 428147991910394496
- Sum of all divisors σ(n): 1486012596564787200
- Sum of proper divisors (its aliquot sum) s(n): 1057864604654392704
- 428147991910394496 is an abundant number, because the sum of its proper divisors (1057864604654392704) is greater than itself. Its abundance is 629716612743998208
Bases of 428147991910394496
- Binary: 101111100010001011001010100100010010001110110101010100000002
- Hexadecimal: 0x5F11654891DAA80
- Base-36: 393PSO61VVK0
Squares and roots of 428147991910394496
- 428147991910394496 squared (4281479919103944962) is 183310702976903230788533210347094016
- 428147991910394496 cubed (4281479919103944963) is 78484109375243892711583356281387090251726497760935936
-
The
square root of 428147991910394496 is 654330185.6940381869 -
The
cube root of 428147991910394496 is 753699.0545399193
Scales and comparisons
How big is 428147991910394496?- 428,147,991,910,394,496 seconds is equal to 13,613,781,794 years, 2 weeks, 6 days, 23 hours, 21 minutes, 36 seconds.
-
To count from 1 to 428,147,991,910,394,496 would take you about forty billion, eight hundred forty-one million, three hundred forty-five thousand, three hundred eighty-two 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 428147991910394496 cubic inches would be around 62808.3 feet tall.
Recreational maths with 428147991910394496
- 428147991910394496 backwards is 694493019199741824
- The number of decimal digits it has is: 18
- The sum of 428147991910394496's digits is 90
- More coming soon!
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"Number 428147991910394496 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 428147991910394496 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/428147991910394496/
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Numbermatics. 2024. "Number 428147991910394496 - Facts about the integer". https://numbermatics.com/n/428147991910394496/
The information we have on file for 428147991910394496 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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