31939494492953711664
31,939,494,492,953,711,664 is an even composite number composed of seven prime numbers multiplied together.
What does the number 31939494492953711664 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 720 divisors.
31939494492953711664 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 31939494492953711664:
24 × 32 × 72 × 11 × 13 × 167 × 189547018499
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 13 × 167 × 189547018499)See below for interesting mathematical facts about the number 31939494492953711664 from the Numbermatics database.
Names of 31939494492953711664
- Cardinal: 31939494492953711664 can be written as Thirty-one quintillion, nine hundred thirty-nine quadrillion, four hundred ninety-four trillion, four hundred ninety-two billion, nine hundred fifty-three million, seven hundred eleven thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 3.1939494492953711664 × 1019
Factors of 31939494492953711664
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 189547018702
Divisors of 31939494492953711664
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 33 36 39 42 44 48 49 52 56 63 66 72 77 78 84 88 91 98 99 104 112 117 126 132 143 144 147 154 156 167 168 176 182 196 198 208 231 234 252 264 273 286 294 308 312 334 336 364 392 396 429 441 462 468 501 504 528 539 546 572 588 616 624 637 668 693 728 784 792 819 858 882 924 936 1001 1002 1008 1078 1092 1144 1169 1176 1232 1274 1287 1336 1386 1456 1503 1584 1617 1638 1716 1764 1837 1848 1872 1911 2002 2004 2156 2171 2184 2288 2338 2352 2548 2574 2672 2772 3003 3006 3234 3276 3432 3507 3528 3674 3696 3822 4004 4008 4312 4342 4368 4676 4851 5096 5148 5511 5544 5733 6006 6012 6468 6513 6552 6864 7007 7014 7056 7348 7644 8008 8016 8183 8624 8684 9009 9352 9702 10192 10296 10521 11022 11088 11466 12012 12024 12859 12936 13026 13104 14014 14028 14696 15197 15288 16016 16366 16533 17368 18018 18704 19404 19539 20592 21021 21042 22044 22932 23881 24024 24048 24549 25718 25872 26052 28028 28056 29392 30394 30576 32732 33066 34736 36036 38577 38808 39078 42042 42084 44088 45591 45864 47762 48048 49098 51436 52104 56056 56112 60788 63063 65464 66132 71643 72072 73647 77154 77616 78156 84084 84168 88176 90013 91182 91728 95524 98196 102872 104208 106379 112112 115731 121576 126126 130928 132264 136773 143286 144144 147294 154308 156312 167167 168168 168336 180026 182364 191048 196392 205744 212758 214929 231462 243152 252252 264528 270039 273546 286572 294588 308616 312624 319137 334334 336336 360052 364728 382096 392784 425516 429858 462924 501501 504504 540078 547092 573144 589176 617232 638274 668668 720104 729456 810117 851032 859716 925848 957411 1003002 1009008 1080156 1094184 1146288 1170169 1178352 1276548 1337336 1440208 1504503 1620234 1702064 1719432 1851696 1914822 2006004 2160312 2188368 2340338 2553096 2674672 3009006 3240468 3438864 3510507 3829644 4012008 4320624 4680676 5106192 6018012 6480936 7021014 7659288 8024016 9361352 10531521 12036024 12961872 14042028 15318576 18722704 21063042 24072048 28084056 42126084 56168112 84252168 168504336 189547018499 379094036998 568641055497 758188073996 1137282110994 1326829129493 1516376147992 1705923166491 2085017203489 2274564221988 2464111240487 2653658258986 3032752295984 3411846332982 3980487388479 4170034406978 4549128443976 4928222480974 5307316517972 6255051610467 6823692665964 7392333721461 7960974776958 8340068813956 9098256887952 9287803906451 9856444961948 10614633035944 11941462165437 12510103220934 13647385331928 14595120424423 14784667442922 15921949553916 16680137627912 17248778683409 18575607812902 18765154831401 19712889923896 21229266071888 22177001164383 23882924330874 25020206441868 27105223645357 27294770663856 27863411719353 29190240848846 29569334885844 31654352089333 31843899107832 33360275255824 34497557366818 37151215625804 37530309662802 39425779847792 43785361273269 44354002328766 47765848661748 50040412883736 51746336050227 54210447290714 55726823438706 58380481697692 59138669771688 63308704178666 63687798215664 68995114733636 74302431251608 75060619325604 81315670936071 83590235158059 87570722546538 88708004657532 94963056267999 95531697323496 100080825767472 102165842970961 103492672100454 108420894581428 111453646877412 116760963395384 118277339543376 120741450783863 126617408357332 131356083819807 137990229467272 148604862503216 150121238651208 155239008150681 162631341872142 167180470316118 175141445093076 177416009315064 189736565517499 189926112535998 191063394646992 204331685941922 206985344200908 216841789162856 221580464625331 222907293754824 233521926790768 241482901567726 243947012808213 253234816714664 262712167639614 275980458934544 284889168803997 300242477302416 306497528912883 310478016301362 325262683744284 334360940632236 348197872982663 350282890186152 354832018630128 362224352351589 379473131034998 379852225071996 408663371883844 411506577161329 413970688401816 433683578325712 443160929250662 445814587509648 482965803135452 487894025616426 506469633429328 525424335279228 569209696552497 569778337607994 612995057825766 620956032602724 650525367488568 664741393875993 668721881264472 696395745965326 700565780372304 724448704703178 758946262069996 759704450143992 817326743767688 823013154322658 827941376803632 886321858501324 919492586738649 965931606270904 975788051232852 1044593618947989 1050848670558456 1086673057054767 1138419393104994 1139556675215988 1225990115651532 1234519731483987 1241912065205448 1301050734977136 1328155958622493 1329482787751986 1337443762528944 1392791491930652 1448897409406356 1517892524139992 1519408900287984 1551063252377317 1634653487535376 1646026308645316 1707629089657491 1772643717002648 1838985173477298 1931863212541808 1951576102465704 1994224181627979 2089187237895978 2101697341116912 2173346114109534 2276838786209988 2279113350431976 2437385110878641 2451980231303064 2469039462967974 2483824130410896 2656311917244986 2658965575503972 2785582983861304 2880546040129303 2897794818812712 3035785048279984 3102126504754634 3133780856843967 3292052617290632 3415258179314982 3545287434005296 3677970346954596 3703559194451961 3903152204931408 3984467875867479 3988448363255958 4178374475791956 4346692228219068 4526572348774619 4553677572419976 4558226700863952 4653189757131951 4874770221757282 4903960462606128 4938078925935948 5312623834489972 5317931151007944 5571165967722608 5761092080258606 5795589637625424 6204253009509268 6267561713687934 6584105234581264 6830516358629964 7312155332635923 7355940693909192 7407118388903922 7968935751734958 7976896726511916 8356748951583912 8641638120387909 8693384456438136 9053144697549238 9107355144839952 9306379514263902 9749540443514564 9876157851871896 10625247668979944 10635862302015888 11522184160517212 11953403627602437 12408506019018536 12535123427375868 13579717046323857 13661032717259928 13959569271395853 14624310665271846 14711881387818384 14814236777807844 15937871503469916 15953793453023832 16713497903167824 17061695776150487 17283276240775818 17386768912876272 18106289395098476 18612759028527804 19499080887029128 19752315703743792 20163822280905121 21250495337959888 21936465997907769 23044368321034424 23906807255204874 24817012038037072 25070246854751736 25924914361163727 27159434092647714 27322065434519856 27919138542791706 29248621330543692 29628473555615688 31686006441422333 31875743006939832 31907586906047664 34123391552300974 34566552481551636 36212578790196952 37225518057055608 38998161774058256 40327644561810242 40739151138971571 43872931995815538 46088736642068848 47813614510409748 50140493709503472 51185087328451461 51849828722327454 54318868185295428 55838277085583412 58497242661087384 59256947111231376 60491466842715363 63372012882844666 63751486013879664 68246783104601948 69133104963103272 72425157580393904 74451036114111216 80655289123620484 81478302277943142 87745863991631076 95058019324266999 95627229020819496 102370174656902922 103699657444654908 108637736370590856 111676554171166824 116994485322174768 120982933685430726 126744025765689332 136493566209203896 138266209926206544 153555261985354383 161310578247240968 162956604555886284 175491727983262152 181474400528146089 190116038648533998 191254458041638992 204740349313805844 207399314889309816 217275472741181712 221802045089956331 223353108342333648 241965867370861452 253488051531378664 272987132418407792 285174057972800997 307110523970708766 322621156494481936 325913209111772568 350983455966524304 362948801056292178 380232077297067996 409480698627611688 414798629778619632 443604090179912662 483931734741722904 506976103062757328 570348115945601994 614221047941417532 651826418223545136 665406135269868993 725897602112584356 760464154594135992 818961397255223376 887208180359825324 967863469483445808 1140696231891203988 1228442095882835064 1330812270539737986 1451795204225168712 1520928309188271984 1774416360719650648 1996218405809606979 2281392463782407976 2456884191765670128 2661624541079475972 2903590408450337424 3548832721439301296 3992436811619213958 4562784927564815952 5323249082158951944 7984873623238427916 10646498164317903888 15969747246476855832 31939494492953711664
- Sum of all divisors σ(n): 122889682676857824000
- Sum of proper divisors (its aliquot sum) s(n): 90950188183904112336
- 31939494492953711664 is an abundant number, because the sum of its proper divisors (90950188183904112336) is greater than itself. Its abundance is 59010693690950400672
Bases of 31939494492953711664
- Binary: 110111011001111111110000100000100110001100000110100010100001100002
- Hexadecimal: 0x1BB3FE104C60D1430
- Base-36: 6QNT1VDPULYK0
Squares and roots of 31939494492953711664
- 31939494492953711664 squared (319394944929537116642) is 1020131308465420474943477875314049648896
- 31939494492953711664 cubed (319394944929537116643) is 32582478308820961359616289057534966121541272694059219922944
-
The
square root of 31939494492953711664 is 5651503737.3210425635 -
The
cube root of 31939494492953711664 is 3172799.8726026141
Scales and comparisons
How big is 31939494492953711664?- 31,939,494,492,953,711,664 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 31,939,494,492,953,711,664 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 31939494492953711664 cubic inches would be around 264400 feet tall.
Recreational maths with 31939494492953711664
- 31939494492953711664 backwards is 46611735929449493913
- 31939494492953711664 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 31939494492953711664's digits is 99
- More coming soon!
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The information we have on file for 31939494492953711664 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 31939494492953711664, math, Factors of 31939494492953711664, curriculum, school, college, exams, university, Prime factorization of 31939494492953711664, STEM, science, technology, engineering, physics, economics, calculator, thirty-one quintillion, nine hundred thirty-nine quadrillion, four hundred ninety-four trillion, four hundred ninety-two billion, nine hundred fifty-three million, seven hundred eleven thousand, six hundred sixty-four.