137431084934929408
137,431,084,934,929,408 is an even composite number composed of five prime numbers multiplied together.
What does the number 137431084934929408 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1320 divisors.
137431084934929408 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred twenty divisors.
Prime factorization of 137431084934929408:
210 × 74 × 19 × 373 × 2412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 19 × 37 × 37 × 37 × 241 × 241)See below for interesting mathematical facts about the number 137431084934929408 from the Numbermatics database.
Names of 137431084934929408
- Cardinal: 137431084934929408 can be written as One hundred thirty-seven quadrillion, four hundred thirty-one trillion, eighty-four billion, nine hundred thirty-four million, nine hundred twenty-nine thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.37431084934929408 × 1017
Factors of 137431084934929408
Divisors of 137431084934929408
- Number of divisors d(n): 1320
-
Complete list of divisors:
1 2 4 7 8 14 16 19 28 32 37 38 49 56 64 74 76 98 112 128 133 148 152 196 224 241 256 259 266 296 304 343 392 448 482 512 518 532 592 608 686 703 784 896 931 964 1024 1036 1064 1184 1216 1369 1372 1406 1568 1687 1792 1813 1862 1928 2072 2128 2368 2401 2432 2738 2744 2812 3136 3374 3584 3626 3724 3856 4144 4256 4579 4736 4802 4864 4921 5476 5488 5624 6272 6517 6748 7168 7252 7448 7712 8288 8512 8917 9158 9472 9583 9604 9728 9842 10952 10976 11248 11809 12544 12691 13034 13496 14504 14896 15424 16576 17024 17834 18316 18944 19166 19208 19456 19684 21904 21952 22496 23618 25088 25382 26011 26068 26992 29008 29792 30848 32053 33152 34048 34447 35668 36632 37888 38332 38416 39368 43808 43904 44992 45619 47236 50176 50653 50764 52022 52136 53984 58016 58081 59584 61696 62419 64106 66304 67081 68096 68894 71336 73264 76664 76832 78736 82663 87616 87808 88837 89984 91238 94472 101306 101528 104044 104272 107968 116032 116162 119168 123392 124838 128212 132608 134162 136192 137788 142672 146528 153328 153664 157472 165326 169423 175232 175616 177674 179968 182077 182476 188944 202612 203056 208088 208544 215936 224371 232064 232324 238336 241129 246784 249676 256424 265216 268324 275576 285344 293056 306656 307328 314944 329929 330652 338846 350464 351232 354571 355348 359936 364154 364952 377888 405224 406112 406567 416176 417088 431872 436933 448742 464128 464648 469567 476672 482258 499352 512848 536648 551152 570688 578641 586112 613312 614656 629888 659858 661304 677692 700928 709142 710696 719872 728308 729904 755776 810448 812224 813134 832352 834176 863744 873866 897484 928256 929296 939134 953344 962407 964516 998704 1025696 1073296 1102304 1103539 1141376 1157282 1172224 1185961 1226624 1229312 1259776 1274539 1319716 1322608 1355384 1401856 1418284 1421392 1456616 1459808 1511552 1570597 1620896 1624448 1626268 1664704 1668352 1687903 1727488 1747732 1794968 1856512 1858592 1878268 1924814 1929032 1997408 2051392 2146592 2148997 2204608 2207078 2282752 2309503 2314564 2344448 2371922 2453248 2458624 2481997 2519552 2549078 2639432 2645216 2710768 2836568 2842784 2845969 2913232 2919616 3023104 3058531 3141194 3241792 3248896 3252536 3286969 3329408 3336704 3375806 3495464 3589936 3717184 3756536 3849628 3858064 3994816 4102784 4293184 4297994 4409216 4414156 4565504 4619006 4629128 4688896 4743844 4906496 4963994 5039104 5098156 5278864 5290432 5421536 5673136 5685568 5691938 5826464 5839232 6046208 6117062 6268651 6282388 6483584 6497792 6505072 6573938 6658816 6673408 6736849 6751612 6990928 7179872 7434368 7513072 7699256 7716128 7724773 7989632 8205568 8301727 8586368 8595988 8818432 8828312 8921773 9131008 9238012 9258256 9487688 9812992 9927988 10196312 10557728 10580864 10843072 10994179 11346272 11371136 11383876 11652928 11678464 12092416 12207373 12234124 12537302 12564776 12967168 12995584 13010144 13147876 13317632 13473698 13503224 13981856 14359744 14868736 15026144 15042979 15398512 15432256 15449546 15979264 16166521 16411136 16603454 17172736 17191976 17373979 17636864 17656624 17843546 18476024 18516512 18975376 19855976 19921783 20392624 21115456 21161728 21409717 21686144 21988358 22692544 22742272 22767752 23305856 23356928 24414746 24468248 25074604 25129552 25934336 26020288 26295752 26635264 26947396 27006448 27963712 28719488 29737472 30052288 30085958 30797024 30864512 30899092 31958528 32333042 32822272 33206908 34345472 34383952 34747958 35273728 35313248 35687092 36952048 37033024 37950752 39711952 39843566 40785248 40830943 42230912 42323456 42819434 43372288 43880557 43976716 45385088 45484544 45535504 46611712 46713856 47157943 48829492 48936496 50149208 50259104 51868672 52040576 52591504 53894792 54012896 54073411 55927424 57438976 58112089 59474944 60104576 60171916 61594048 61729024 61798184 62452411 63917056 64666084 66413816 68690944 68767904 69495916 70626496 71374184 73904096 74066048 75901504 79423904 79512889 79687132 81570496 81661886 84461824 84646912 85451611 85638868 86744576 87761114 87953432 90770176 90969088 91071008 93223424 94315886 97658984 97872992 100298416 100518208 104081152 105183008 105300853 107789584 108025792 108146822 111854848 113165647 114877952 116224178 120209152 120343832 121617853 123188096 123458048 123596368 124904822 129332168 132827632 137535808 138991832 139452481 141252992 142748368 147808192 148132096 151803008 158847808 159025778 159374264 163140992 163323772 168923648 170903222 171277736 173489152 175522228 175906864 181540352 182142016 186446848 188631772 195317968 195745984 200596832 201036416 208162304 210366016 210601706 215579168 216051584 216293644 223709696 226331294 229755904 231940087 232448356 240418304 240687664 243235706 246376192 246916096 247192736 249809644 258664336 265655264 275071616 277983664 278904962 282505984 285496736 285816601 295616384 296264192 303606016 307163899 317695616 318051556 318748528 326281984 326647544 330105601 337847296 341806444 342555472 351044456 351813728 363080704 364284032 377263544 378513877 390635936 391491968 401193664 402072832 406784623 416324608 420732032 421203412 431158336 432103168 432587288 447419392 452662588 463880174 464896712 480836608 481375328 486471412 492752384 494385472 499619288 517328672 531310528 550143232 555967328 556590223 557809924 565011968 570993472 571633202 591232768 592528384 598161277 607212032 614327798 635391232 636103112 637497056 652563968 653295088 660211202 683612888 685110944 702088912 703627456 728568064 737105971 754527088 757027754 781271872 782983936 792159529 802387328 804145664 813569246 841464064 842406824 862316672 864206336 865174576 905325176 927760348 929793424 962750656 972942824 985504768 988770944 999238576 1034657344 1062621056 1100286464 1111934656 1113180446 1115619848 1130023936 1141986944 1143266404 1182465536 1196322554 1214424064 1228655596 1270782464 1272206224 1274994112 1305127936 1306590176 1320422404 1367225776 1370221888 1404177824 1407254912 1457136128 1474211942 1509054176 1510744891 1514055508 1562543744 1565967872 1584319058 1604774656 1608291328 1623580609 1627138492 1682928128 1684813648 1724633344 1728412672 1730349152 1810650352 1855520696 1859586848 1925501312 1945885648 1977541888 1998477152 2000716207 2069314688 2125242112 2150147293 2200572928 2223869312 2226360892 2231239696 2283973888 2286532808 2310739207 2364931072 2392645108 2457311192 2541564928 2544412448 2549988224 2613180352 2640844808 2649597139 2734451552 2740443776 2808355648 2814509824 2914272256 2941976893 2948423884 3018108352 3021489782 3028111016 3125087488 3131935744 3168638116 3209549312 3247161218 3254276984 3365856256 3369627296 3449266688 3460698304 3621300704 3711041392 3719173696 3851002624 3891771296 3896131561 3955083776 3996954304 4001432414 4138629376 4187128939 4250484224 4300294586 4447738624 4452721784 4462479392 4567947776 4573065616 4621478414 4785290216 4914622384 5088824896 5099976448 5159741797 5226360704 5281689616 5299194278 5468903104 5480887552 5616711296 5629019648 5883953786 5896847768 6036216704 6042979564 6056222032 6250174976 6337276232 6419098624 6494322436 6508553968 6739254592 6898533376 6921396608 7242601408 7422082784 7438347392 7702005248 7783542592 7792263122 7910167552 7993908608 8002864828 8277258752 8374257878 8500968448 8600589172 8895477248 8905443568 8924958784 9135895552 9146131232 9242956828 9570580432 9829244768 10177649792 10199952896 10319483594 10452721408 10563379232 10575214237 10598388556 10937806208 10961775104 11233422592 11258039296 11365064263 11767907572 11793695536 12072433408 12085959128 12112444064 12500349952 12674552464 12988644872 13017107936 13478509184 13842793216 14005013449 14485202816 14844165568 14876694784 15051031051 15404010496 15567085184 15584526244 15987817216 16005729656 16554517504 16748515756 17201178344 17790954496 17810887136 17849917568 18292262464 18485913656 19141160864 19658489536 20355299584 20399905792 20593838251 20638967188 20905442816 21126758464 21150428474 21196777112 21875612416 21923550208 22466845184 22730128526 23535815144 23587391072 24144866816 24171918256 24224888128 25349104928 25977289744 26034215872 26957018368 27272920927 27685586432 28010026898 28970405632 29309902573 29688331136 29753389568 30102062102 31134170368 31169052488 31975634432 32011459312 33497031512 34402356688 35621774272 35699835136 36584524928 36971827312 38282321728 39316979072 40710599168 41187676502 41277934376 41810885632 42253516928 42300856948 42393554224 43751224832 44933690368 45460257052 47071630288 47174782144 48289733632 48343836512 48449776256 50698209856 51954579488 52068431744 53914036736 54545841854 55371172864 55897560967 56020053796 57940811264 58619805146 59376662272 59506779136 60204124204 62268340736 62338104976 63951268864 64022918624 66994063024 68804713376 71243548544 71399670272 73169049856 73943654624 74026499659 76564643456 78633958144 79555449841 81421198336 82375353004 82555868752 84507033856 84601713896 84787108448 87502449664 90920514104 94143260576 94349564288 96687673024 96899552512 98035094143 101396419712 103909158976 104136863488 107828073472 109091683708 111795121934 112040107592 115881622528 117239610292 118753324544 120408248408 124536681472 124676209952 128045837248 133988126048 137609426752 142487097088 142799340544 144156867757 146338099712 147887309248 148052999318 153129286912 157267916288 159110899682 164750706008 165111737504 169014067712 169203427792 169574216896 181841028208 188286521152 188699128576 190910446489 193375346048 193799105024 196070188286 202792839424 207818317952 208273726976 218183367416 223590243868 224080215184 234479220584 237506649088 240816496816 249352419904 256091674496 267976252096 275218853504 284974194176 288313735514 292676199424 295774618496 296105998636 306258573824 314535832576 318221799364 329501412016 330223475008 338028135424 338406855584 339148433792 363682056416 376573042304 377398257152 381820892978 386750692096 387598210048 391282926769 392140376572 405585678848 415636635904 416547453952 436366734832 447180487736 448160430368 468958441168 481632993632 498704839808 512183348992 518185497613 535952504192 550437707008 556888148887 569948388352 576627471028 591549236992 592211997272 612517147648 636443598728 659002824032 660446950016 676813711168 678296867584 727364112832 753146084608 754796514304 763641785956 773501384192 782565853538 784280753144 811171357696 831273271808 872733469664 894360975472 896320860736 937916882336 963265987264 997409679616 1009098074299 1024366697984 1036370995226 1071905008384 1100875414016 1113776297774 1153254942056 1183098473984 1184423994544 1272887197456 1318005648064 1320893900032 1353627422336 1356593735168 1454728225664 1506292169216 1527283571912 1547002768384 1565131707076 1568561506288 1662546543616 1745466939328 1788721950944 1792641721472 1875833764672 1926531974528 1994819359232 2018196148598 2048733395968 2072741990452 2143810016768 2201750828032 2227552595548 2306509884112 2366196947968 2368847989088 2545774394912 2636011296128 2641787800064 2707254844672 2713187470336 2738980487383 2909456451328 3012584338432 3054567143824 3130263414152 3137123012576 3490933878656 3577443901888 3585283442944 3627298483291 3751667529344 3853063949056 3989638718464 4036392297196 4145483980904 4287620033536 4455105191096 4613019768224 4737695978176 5091548789824 5272022592256 5283575600128 5414509689344 5477960974766 5818912902656 6109134287648 6260526828304 6274246025152 6981867757312 7063686520093 7154887803776 7170566885888 7254596966582 7503335058688 7706127898112 8072784594392 8290967961808 8910210382192 9226039536448 9475391956352 10183097579648 10544045184512 10829019378688 10955921949532 11637825805312 12218268575296 12521053656608 12548492050304 13963735514624 14127373040186 14309775607552 14341133771776 14509193933164 15006670117376 15412255796224 16145569188784 16581935923616 17820420764384 18452079072896 18950783912704 19172863411681 20366195159296 21088090369024 21911843899064 24436537150592 25042107313216 25096984100608 27927471029248 28254746080372 28619551215104 29018387866328 30013340234752 32291138377568 33163871847232 35640841528768 36904158145792 37901567825408 38345726823362 40732390318592 43823687798128 48873074301184 50084214626432 50193968201216 56509492160744 57239102430208 58036775732656 64582276755136 66327743694464 71281683057536 73808316291584 75803135650816 76691453646724 81464780637184 87647375596256 97746148602368 100168429252864 100387936402432 113018984321488 116073551465312 129164553510272 132655487388928 134210043881767 142563366115072 147616632583168 153382907293448 175294751192512 195492297204736 200336858505728 226037968642976 232147102930624 258329107020544 265310974777856 268420087763534 285126732230144 306765814586896 350589502385024 400673717011456 452075937285952 464294205861248 516658214041088 530621949555712 536840175527068 570253464460288 613531629173792 701179004770048 904151874571904 928588411722496 1033316428082176 1073680351054136 1227063258347584 1402358009540096 1808303749143808 1857176823444992 2147360702108272 2454126516695168 2804716019080192 3616607498287616 3714353646889984 4294721404216544 4908253033390336 7233214996575232 8589442808433088 9816506066780672 17178885616866176 19633012133561344 34357771233732352 68715542467464704 137431084934929408
- Sum of all divisors σ(n): 348180917933017200
- Sum of proper divisors (its aliquot sum) s(n): 210749832998087792
- 137431084934929408 is an abundant number, because the sum of its proper divisors (210749832998087792) is greater than itself. Its abundance is 73318748063158384
Bases of 137431084934929408
- Binary: 1111010000100000011010111111101101010010010011100000000002
- Hexadecimal: 0x1E840D7F6A49C00
- Base-36: 11L794TWSNWG
Squares and roots of 137431084934929408
- 137431084934929408 squared (1374310849349294082) is 18887303106391780883929541943230464
- 137431084934929408 cubed (1374310849349294083) is 2595702557406284887544343846759592492038603315085312
-
The
square root of 137431084934929408 is 370716987.6535595287 -
The
cube root of 137431084934929408 is 516053.8134376213
Scales and comparisons
How big is 137431084934929408?- 137,431,084,934,929,408 seconds is equal to 4,369,883,398 years, 35 weeks, 5 hours, 43 minutes, 28 seconds.
-
To count from 1 to 137,431,084,934,929,408 would take you about thirteen billion, one hundred nine million, six hundred fifty thousand, one hundred ninety-six 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 137431084934929408 cubic inches would be around 43004.5 feet tall.
Recreational maths with 137431084934929408
- 137431084934929408 backwards is 804929439480134731
- The number of decimal digits it has is: 18
- The sum of 137431084934929408's digits is 79
- 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 137431084934929408 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 137431084934929408 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/137431084934929408/
Chicago style:
Numbermatics. 2024. "Number 137431084934929408 - Facts about the integer". https://numbermatics.com/n/137431084934929408/
The information we have on file for 137431084934929408 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 137431084934929408, math, Factors of 137431084934929408, curriculum, school, college, exams, university, Prime factorization of 137431084934929408, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, four hundred thirty-one trillion, eighty-four billion, nine hundred thirty-four million, nine hundred twenty-nine thousand, four hundred eight.