31421355422711934471600384
31,421,355,422,711,934,471,600,384 is an even composite number composed of five prime numbers multiplied together.
31421355422711934471600384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred fifteen divisors.
Prime factorization of 31421355422711934471600384:
28 × 32 × 374 × 612 × 13984212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 37 × 37 × 37 × 37 × 61 × 61 × 1398421 × 1398421)See below for interesting mathematical facts about the number 31421355422711934471600384 from the Numbermatics database.
Names of 31421355422711934471600384
- Cardinal: 31421355422711934471600384 can be written as Thirty-one septillion, four hundred twenty-one sextillion, three hundred fifty-five quintillion, four hundred twenty-two quadrillion, seven hundred eleven trillion, nine hundred thirty-four billion, four hundred seventy-one million, six hundred thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 3.1421355422711934471600384 × 1025
Factors of 31421355422711934471600384
Divisors of 31421355422711934471600384
- Number of divisors d(n): 1215
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 61 64 72 74 96 111 122 128 144 148 183 192 222 244 256 288 296 333 366 384 444 488 549 576 592 666 732 768 888 976 1098 1152 1184 1332 1369 1464 1776 1952 2196 2257 2304 2368 2664 2738 2928 3552 3721 3904 4107 4392 4514 4736 5328 5476 5856 6771 7104 7442 7808 8214 8784 9028 9472 10656 10952 11163 11712 12321 13542 14208 14884 15616 16428 17568 18056 20313 21312 21904 22326 23424 24642 27084 28416 29768 32856 33489 35136 36112 40626 42624 43808 44652 46848 49284 50653 54168 59536 65712 66978 70272 72224 81252 83509 85248 87616 89304 98568 101306 108336 119072 131424 133956 137677 140544 144448 151959 162504 167018 175232 178608 197136 202612 216672 238144 250527 262848 267912 275354 288896 303918 325008 334036 350464 357216 394272 405224 413031 433344 455877 476288 501054 525696 535824 550708 577792 607836 650016 668072 714432 751581 788544 810448 826062 866688 911754 952576 1002108 1051392 1071648 1101416 1215672 1239093 1300032 1336144 1398421 1428864 1503162 1577088 1620896 1652124 1733376 1823508 1874161 2004216 2143296 2202832 2431344 2478186 2600064 2672288 2796842 2857728 3006324 3089833 3154176 3241792 3304248 3647016 3748322 4008432 4195263 4286592 4405664 4862688 4956372 5094049 5200128 5344576 5593684 5622483 6012648 6179666 6483584 6608496 7294032 7496644 8016864 8390526 8573184 8811328 9269499 9725376 9912744 10188098 10689152 11187368 11244966 12025296 12359332 12585789 12967168 13216992 14588064 14993288 15282147 16033728 16781052 16867449 17622656 18538998 19450752 19825488 20376196 21378304 22374736 22489932 24050592 24718664 25171578 26433984 27808497 29176128 29986576 30564294 32067456 33562104 33734898 35245312 37077996 38901504 39650976 40752392 44749472 44979864 45846441 48101184 49437328 50343156 51741577 52867968 55616994 58352256 59973152 61128588 64134912 67124208 67469796 74155992 79301952 81504784 85303681 89498944 89959728 91692882 96202368 98874656 100686312 103483154 105735936 111233988 114323821 116704512 119946304 122257176 134248416 134939592 148311984 155224731 158603904 163009568 170607362 178997888 179919456 183385764 188479813 192404736 197749312 201372624 206966308 222467976 228647642 239892608 244514352 255911043 268496832 269879184 296623968 310449462 317207808 326019136 341214724 342971463 357995776 359838912 366771528 376959626 395498624 402745248 413932616 444935952 457295284 465674193 479785216 489028704 511822086 536993664 539758368 565439439 593247936 620898924 652038272 682429448 685942926 719677824 733543056 753919252 767733129 790997248 805490496 827865232 889871904 914590568 931348386 978057408 1023644172 1028914389 1073987328 1079516736 1130878878 1186495872 1241797848 1304076544 1364858896 1371885852 1439355648 1467086112 1507838504 1535466258 1610980992 1655730464 1696318317 1779743808 1829181136 1862696772 1914438349 1956114816 2047288344 2057828778 2159033472 2261757756 2372991744 2483595696 2729717792 2743771704 2934172224 3015677008 3070932516 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56812251546 59606296704 61262027168 62442294492 62763777729 65513227008 65850520896 68919780564 70834218913 72376248192 75749668728 83256392656 83685036972 87800694528 91893040752 93663441738 98269840512 100999558304 108564372288 111580049296 113624503092 116780739289 119212593408 122524054336 124884588984 125527555458 131701041792 137839561128 141668437826 144752496384 151499337456 166512785312 167370073944 183786081504 187326883476 192530408017 196539681024 201999116608 212502656739 217128744576 223160098592 227249006184 233561478578 245048108672 249769177968 251055110916 263402083584 275679122256 283336875652 302998674912 333025570624 334740147888 350342217867 367572163008 374653766952 385060816034 403998233216 425005313478 434257489152 446320197184 454498012368 467122957156 490096217344 499538355936 502110221832 551358244512 566673751304 577591224051 605997349824 637507970217 666051141248 669480295776 700684435734 735144326016 749307533904 770121632068 807996466432 850010626956 892640394368 908996024736 934245914312 999076711872 1004220443664 1051026653601 1102716489024 1133347502608 1155182448102 1211994699648 1275015940434 1332102282496 1338960591552 1401368871468 1470288652032 1498615067808 1540243264136 1700021253912 1732773672153 1785280788736 1817992049472 1868491828624 1955581293241 1998153423744 2008440887328 2102053307202 2205432978048 2266695005216 2310364896204 2423989399296 2550031880868 2620866099781 2677921183104 2802737742936 2997230135616 3080486528272 3400042507824 3465547344306 3635984098944 3736983657248 3911162586482 3996306847488 4016881774656 4204106614404 4320887353693 4410865956096 4533390010432 4620729792408 5100063761736 5241732199562 5355842366208 5605475485872 5866743879723 5994460271232 6160973056544 6800085015648 6931094688612 7123625096629 7271968197888 7473967314496 7822325172964 7862598299343 8033763549312 8408213228808 8641774707386 9066780020864 9241459584816 10200127523472 10483464399124 11210950971744 11733487759446 11988920542464 12321946113088 12962662061079 13600170031296 13862189377224 14247250193258 14947934628992 15644650345928 15725196598686 16067527098624 16816426457616 17283549414772 17600231639169 18133560041728 18482919169632 20400255046944 20966928798248 21370875289887 22421901943488 23466975518892 23587794898029 24643892226176 25925324122158 27200340062592 27724378754448 28494500386516 29895869257984 31289300691856 31450393197372 33632852915232 34567098829544 35200463278338 36965838339264 38887986183237 40800510093888 41933857596496 42741750579774 44843803886976 46933951037784 47175589796058 49287784452352 51850648244316 54400680125184 55448757508896 56989000773032 62578601383712 62900786394744 64112625869661 67265705830464 69134197659088 70400926556676 72356507849917 73931676678528 77775972366474 81601020187776 83867715192992 85483501159548 89687607773952 93867902075568 94351179592116 103701296488632 110897515017792 113978001546064 119290458887701 125157202767424 125801572789488 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1872430609398739392 1959703658607152028 2056082527063241472 2095694781739131168 2153908525676329256 2377345421916872952 2423147091385870413 2496574145864985856 2542318259814683712 2612938211476202704 2794259708985508224 2808645914098109088 2939555487910728042 3084123790594862208 3169793895889163936 3230862788514493884 3389757679752911616 3566018132875309428 3665074192121845801 3744861218797478784 3919407317214304056 4191389563478262336 4307817051352658512 4754690843833745904 4846294182771740826 5084636519629367424 5225876422952405408 5588519417971016448 5617291828196218176 5879110975821456084 6042419614038718753 6168247581189724416 6339587791778327872 6461725577028987768 7132036265750618856 7330148384243691602 7489722437594957568 7838814634428608112 8382779126956524672 8615634102705317024 9509381687667491808 9692588365543481652 9961826931253022809 10169273039258734848 10451752845904810816 10995222576365537403 11234583656392436352 11758221951642912168 12084839228077437506 12679175583556655744 12923451154057975536 14264072531501237712 14660296768487383204 15677629268857216224 16765558253913049344 17231268205410634048 18127258842116156259 19018763375334983616 19385176731086963304 19923653862506045618 20903505691809621632 21990445152731074806 22469167312784872704 23516443903285824336 24169678456154875012 25358351167113311488 25846902308115951072 28528145063002475424 29320593536974766408 29885480793759068427 31355258537714432448 32985667729096612209 34462536410821268096 36254517684232312518 38037526750669967232 38770353462173926608 39847307725012091236 41807011383619243264 43980890305462149612 47032887806571648672 48339356912309750024 51693804616231902144 54381776526348468777 57056290126004950848 58641187073949532816 59770961587518136854 62710517075428864896 65971335458193224418 68925072821642536192 72509035368464625036 76075053501339934464 77540706924347853216 79694615450024182472 87961780610924299224 89656442381277205281 94065775613143297344 96678713824619500048 103387609232463804288 108763553052696937554 114112580252009901696 117282374147899065632 119541923175036273708 125421034150857729792 131942670916386448836 145018070736929250072 155081413848695706432 159389230900048364944 175923561221848598448 179312884762554410562 188131551226286594688 193357427649239000096 206775218464927608576 217527106105393875108 223569525719432593861 228225160504019803392 234564748295798131264 239083846350072547416 263885341832772897672 290036141473858500144 310162827697391412864 318778461800096729888 351847122443697196896 358625769525108821124 368587596456361843933 376263102452573189376 386714855298478000192 435054212210787750216 447139051438865187722 469129496591596262528 478167692700145094832 527770683665545795344 580072282947717000288 620325655394782825728 637556923600193459776 670708577158297781583 703694244887394393792 717251539050217642248 737175192912723687866 773429710596956000384 870108424421575500432 894278102877730375444 938258993183192525056 956335385400290189664 1055541367331091590688 1105762789369085531799 1160144565895434000576 1275113847200386919552 1341417154316595563166 1407388489774788787584 1434503078100435284496 1474350385825447375732 1546859421193912000768 1740216848843151000864 1788556205755460750888 1912670770800580379328 2012125731474893344749 2111082734662183181376 2211525578738171063598 2320289131790868001152 2550227694400773839104 2682834308633191126332 2814776979549577575168 2869006156200870568992 2948700771650894751464 3317288368107256595397 3480433697686302001728 3577112411510921501776 3825341541601160758656 4024251462949786689498 4222165469324366362752 4423051157476342127196 4640578263581736002304 5365668617266382252664 5738012312401741137984 5897401543301789502928 6634576736214513190794 6960867395372604003456 7154224823021843003552 7650683083202321517312 8048502925899573378996 8444330938648732725504 8846102314952684254392 10731337234532764505328 11476024624803482275968 11794803086603579005856 13269153472429026381588 13637741068885388225521 13921734790745208006912 14308449646043686007104 16097005851799146757992 17692204629905368508784 21462674469065529010656 22952049249606964551936 23589606173207158011712 26538306944858052763176 27275482137770776451042 28616899292087372014208 32194011703598293515984 35384409259810737017568 40913223206656164676563 42925348938131058021312 47179212346414316023424 53076613889716105526352 54550964275541552902084 57233798584174744028416 64388023407196587031968 70768818519621474035136 81826446413312329353126 85850697876262116042624 94358424692828632046848 106153227779432211052704 109101928551083105804168 122739669619968494029689 128776046814393174063936 141537637039242948070272 163652892826624658706252 171701395752524232085248 212306455558864422105408 218203857102166211608336 245479339239936988059378 257552093628786348127872 283075274078485896140544 327305785653249317412504 424612911117728844210816 436407714204332423216672 490958678479873976118756 515104187257572696255744 654611571306498634825008 849225822235457688421632 872815428408664846433344 981917356959747952237512 1309223142612997269650016 1745630856817329692866688 1963834713919495904475024 2618446285225994539300032 3491261713634659385733376 3927669427838991808950048 5236892570451989078600064 7855338855677983617900096 10473785140903978157200128 15710677711355967235800192 31421355422711934471600384
- Sum of all divisors σ(n): 94663572844980274939090287
- Sum of proper divisors (its aliquot sum) s(n): 63242217422268340467489903
- 31421355422711934471600384 is an abundant number, because the sum of its proper divisors (63242217422268340467489903) is greater than itself. Its abundance is 31820861999556405995889519
Bases of 31421355422711934471600384
- Binary: 11001111111011011101100010111001100001011100010010010100001000100101101111001000000002
- Hexadecimal: 0x19FDBB1730B892844B7900
- Base-36: 3Y4P6FSWOMYTC2F40
Squares and roots of 31421355422711934471600384
- 31421355422711934471600384 squared (314213554227119344716003842) is 987301576600388690223165712323217013972234188947456
- 31421355422711934471600384 cubed (314213554227119344716003843) is 31022353747764665525098370115245667255198223299225903538419558985452805423104
-
31421355422711934471600384 is a
perfect square number . Itssquare root is 5605475485872 -
The
cube root of 31421355422711934471600384 is 315554931.5193572569
Scales and comparisons
How big is 31421355422711934471600384?- 31,421,355,422,711,934,471,600,384 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 31,421,355,422,711,934,471,600,384 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 31421355422711934471600384 cubic inches would be around 26296244.3 feet tall.
Recreational maths with 31421355422711934471600384
- 31421355422711934471600384 backwards is 48300617443911722455312413
- The number of decimal digits it has is: 26
- The sum of 31421355422711934471600384's digits is 90
- More coming soon!
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"Number 31421355422711934471600384 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 31421355422711934471600384 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/31421355422711934471600384/
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