84427042080338163145984704
84,427,042,080,338,163,145,984,704 is an even composite number composed of seven prime numbers multiplied together.
What does the number 84427042080338163145984704 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 448 divisors.
84427042080338163145984704 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 84427042080338163145984704:
26 × 3 × 11 × 1213 × 31069 × 178247 × 5950827413
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 1213 × 31069 × 178247 × 5950827413)See below for interesting mathematical facts about the number 84427042080338163145984704 from the Numbermatics database.
Names of 84427042080338163145984704
- Cardinal: 84427042080338163145984704 can be written as Eighty-four septillion, four hundred twenty-seven sextillion, forty-two quintillion, eighty quadrillion, three hundred thirty-eight trillion, one hundred sixty-three billion, one hundred forty-five million, nine hundred eighty-four thousand, seven hundred four.
Scientific notation
- Scientific notation: 8.4427042080338163145984704 × 1025
Factors of 84427042080338163145984704
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 5951037958
Divisors of 84427042080338163145984704
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1213 2112 2426 3639 4852 7278 9704 13343 14556 19408 26686 29112 31069 38816 40029 53372 58224 62138 77632 80058 93207 106744 116448 124276 160116 178247 186414 213488 232896 248552 320232 341759 356494 372828 426976 497104 534741 640464 683518 712988 745656 853952 994208 1025277 1069482 1280928 1367036 1425976 1491312 1960717 1988416 2050554 2138964 2561856 2734072 2851952 2982624 3921434 4101108 4277928 5468144 5703904 5882151 5965248 7842868 8202216 8555856 10936288 11407808 11764302 15685736 16404432 17111712 21872576 23528604 31371472 32808864 34223424 37686697 47057208 62742944 65617728 75373394 94114416 113060091 125485888 150746788 188228832 216213611 226120182 301493576 376457664 414553667 432427222 452240364 602987152 648640833 829107334 864854444 904480728 1205974304 1243661001 1297281666 1658214668 1729708888 1808961456 2378349721 2411948608 2487322002 2594563332 3316429336 3459417776 3617922912 4756699442 4974644004 5189126664 5537956043 5950827413 6632858672 6918835552 7135049163 7235845824 9513398884 9949288008 10378253328 11075912086 11901654826 13265717344 13837671104 14270098326 16613868129 17852482239 19026797768 19898576016 20756506656 22151824172 23803309652 26531434688 28540196652 33227736258 35704964478 38053595536 39797152032 41513013312 44303648344 47606619304 57080393304 60917516473 65459101543 66455472516 71409928956 76107191072 79594304064 88607296688 95213238608 114160786608 121835032946 130918203086 132910945032 142819857912 152214382144 177214593376 182752549419 190426477216 196377304629 228321573216 243670065892 261836406172 265821890064 285639715824 354429186752 365505098838 380852954432 392754609258 456643146432 487340131784 523672812344 531643780128 571279431648 731010197676 785509218516 974680263568 1047345624688 1063287560256 1142558863296 1462020395352 1571018437032 1949360527136 2094691249376 2924040790704 3142036874064 3898721054272 4189382498752 5848081581408 6284073748128 6717540680159 7218353651969 11696163162816 12568147496256 13435081360318 14436707303938 20152622040477 21655060955907 26870162720636 28873414607876 40305244080954 43310121911814 53740325441272 57746829215752 73892947481749 79401890171659 80610488161908 86620243823628 107480650882544 115493658431504 147785894963498 158803780343318 161220976323816 173240487647256 184886256894497 214961301765088 221678842445247 230987316863008 238205670514977 295571789926996 317607560686636 322441952647632 346480975294512 369772513788994 429922603530176 443357684890494 461974633726016 476411341029954 554658770683491 591143579853992 635215121373272 644883905295264 692961950589024 739545027577988 886715369780988 952822682059908 1060717133885011 1109317541366982 1182287159707984 1270430242746544 1289767810590528 1385923901178048 1479090055155976 1773430739561976 1905645364119816 2033748825839467 2121434267770022 2218635082733964 2364574319415968 2540860485493088 2958180110311952 3182151401655033 3546861479123952 3811290728239632 4067497651678934 4242868535540044 4437270165467928 4729148638831936 5081720970986176 5916360220623904 6101246477518401 6364302803310066 7093722958247904 7622581456479264 8134995303357868 8485737071080088 8874540330935856 11667888472735121 11832720441247808 12202492955036802 12728605606620132 14187445916495808 15245162912958528 16269990606715736 16971474142160176 17749080661871712 23335776945470242 24404985910073604 25457211213240264 32539981213431472 33942948284320352 35003665418205363 35498161323743424 46671553890940484 48809971820147208 50914422426480528 65079962426862944 67885896568640704 70007330836410726 93343107781880968 97619943640294416 101828844852961056 130159924853725888 140014661672821452 186686215563761936 195239887280588832 203657689705922112 224267029613024861 280029323345642904 373372431127523872 390479774561177664 448534059226049722 560058646691285808 672801088839074583 746744862255047744 897068118452099444 1120117293382571616 1286649883402518343 1345602177678149166 1794136236904198888 2240234586765143232 2466937325743273471 2573299766805036686 2691204355356298332 3588272473808397776 3859949650207555029 4933874651486546942 5146599533610073372 5382408710712596664 7176544947616795552 7400811977229820413 7719899300415110058 9867749302973093884 10293199067220146744 10764817421425193328 14153148717427701773 14353089895233591104 14801623954459640826 15439798600830220116 19735498605946187768 20586398134440293488 21529634842850386656 28306297434855403546 29603247908919281652 30879597201660440232 32955420632673406759 39470997211892375536 41172796268880586976 42459446152283105319 43059269685700773312 56612594869710807092 59206495817838563304 61759194403320880464 65910841265346813518 78941994423784751072 82345592537761173952 84918892304566210638 98866261898020220277 113225189739421614184 118412991635677126608 123518388806641760928 131821682530693627036 157883988847569502144 169837784609132421276 197732523796040440554 226450379478843228368 236825983271354253216 247036777613283521856 263643365061387254072 339675569218264842552 362509626959407474349 395465047592080881108 452900758957686456736 473651966542708506432 527286730122774508144 679351138436529685104 725019253918814948698 790930095184161762216 905801517915372913472 1054573460245549016288 1087528880878222423047 1358702276873059370208 1450038507837629897396 1581860190368323524432 2109146920491098032576 2175057761756444846094 2717404553746118740416 2900077015675259794792 3163720380736647048864 4350115523512889692188 5800154031350519589584 6327440761473294097728 8700231047025779384376 11600308062701039179168 17400462094051558768752 23200616125402078358336 34800924188103117537504 39974925227432842398667 69601848376206235075008 79949850454865684797334 119924775682298527196001 159899700909731369594668 239849551364597054392002 319799401819462739189336 439724177501761266385337 479699102729194108784004 639598803638925478378672 879448355003522532770674 959398205458388217568008 1279197607277850956757344 1319172532505283799156011 1758896710007045065541348 1918796410916776435136016 2558395214555701913514688 2638345065010567598312022 3517793420014090131082696 3837592821833552870272032 5276690130021135196624044 7035586840028180262165392 7675185643667105740544064 10553380260042270393248088 14071173680056360524330784 21106760520084540786496176 28142347360112721048661568 42213521040169081572992352 84427042080338163145984704
- Sum of all divisors σ(n): 243897258658332193825397760
- Sum of proper divisors (its aliquot sum) s(n): 159470216577994030679413056
- 84427042080338163145984704 is an abundant number, because the sum of its proper divisors (159470216577994030679413056) is greater than itself. Its abundance is 75043174497655867533428352
Bases of 84427042080338163145984704
- Binary: 1000101110101100001111100011111001110110111101110011110110110111000000101001010110000002
- Hexadecimal: 0x45D61F1F3B7B9EDB814AC0
- Base-36: ALW80TCBAMGET6FUO
Squares and roots of 84427042080338163145984704
- 84427042080338163145984704 squared (844270420803381631459847042) is 7127925434435190954712025929601990912229037801967616
- 84427042080338163145984704 cubed (844270420803381631459847043) is 601789660598572549455560579599469445930083069730754212071954118654461039345664
-
The
square root of 84427042080338163145984704 is 9188418910799.5159553161 -
The
cube root of 84427042080338163145984704 is 438692818.1781252521
Scales and comparisons
How big is 84427042080338163145984704?- 84,427,042,080,338,163,145,984,704 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 84,427,042,080,338,163,145,984,704 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 84427042080338163145984704 cubic inches would be around 36557734.8 feet tall.
Recreational maths with 84427042080338163145984704
- 84427042080338163145984704 backwards is 40748954136183308024072448
- The number of decimal digits it has is: 26
- The sum of 84427042080338163145984704's digits is 105
- More coming soon!
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The information we have on file for 84427042080338163145984704 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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