137085613335832385536
137,085,613,335,832,385,536 is an even composite number composed of four prime numbers multiplied together.
What does the number 137085613335832385536 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 960 divisors.
137085613335832385536 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 137085613335832385536:
211 × 134 × 373 × 3593
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 13 × 13 × 37 × 37 × 37 × 359 × 359 × 359)See below for interesting mathematical facts about the number 137085613335832385536 from the Numbermatics database.
Names of 137085613335832385536
- Cardinal: 137085613335832385536 can be written as One hundred thirty-seven quintillion, eighty-five quadrillion, six hundred thirteen trillion, three hundred thirty-five billion, eight hundred thirty-two million, three hundred eighty-five thousand, five hundred thirty-six.
Scientific notation
- Scientific notation: 1.37085613335832385536 × 1020
Factors of 137085613335832385536
Divisors of 137085613335832385536
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 169 208 256 296 338 359 416 481 512 592 676 718 832 962 1024 1184 1352 1369 1436 1664 1924 2048 2197 2368 2704 2738 2872 3328 3848 4394 4667 4736 5408 5476 5744 6253 6656 7696 8788 9334 9472 10816 10952 11488 12506 13283 13312 15392 17576 17797 18668 18944 21632 21904 22976 25012 26566 26624 28561 30784 35152 35594 37336 37888 43264 43808 45952 50024 50653 53132 57122 60671 61568 70304 71188 74672 75776 81289 86528 87616 91904 100048 101306 106264 114244 121342 123136 128881 140608 142376 149344 162578 172679 173056 175232 183808 200096 202612 212528 228488 231361 242684 246272 257762 281216 284752 298688 325156 345358 346112 350464 367616 400192 405224 425056 456976 462722 485368 491471 492544 515524 562432 569504 597376 650312 658489 690716 700928 735232 788723 800384 810448 850112 913952 925444 970736 982942 985088 1031048 1056757 1124864 1139008 1194752 1300624 1316978 1381432 1401856 1577446 1600768 1620896 1675453 1700224 1827904 1850888 1941472 1965884 2062096 2113514 2244827 2249728 2278016 2389504 2601248 2633956 2762864 2803712 3007693 3154892 3201536 3241792 3350906 3400448 3655808 3701776 3882944 3931768 4124192 4227028 4489654 4499456 4556032 4768597 4779008 5202496 5267912 5525728 6015386 6309784 6389123 6403072 6483584 6701812 6800896 7311616 7403552 7765888 7863536 8248384 8454056 8560357 8979308 9112064 9537194 9558016 10253399 10404992 10535824 11051456 12030772 12619568 12778246 12806144 12967168 13403624 13601792 14623232 14807104 15531776 15727072 16496768 16908112 17120714 17958616 18184427 18224128 19074388 20506798 20809984 21071648 21780889 22102912 24061544 25239136 25556492 25934336 26807248 27203584 29182751 29246464 29614208 31063552 31454144 32993536 33816224 34241428 35917232 36368854 36448256 38148776 39100009 41013596 41619968 42143296 43561778 44205824 46268279 48123088 50478272 51112984 51868672 53614496 58365502 58492928 59228416 61991761 62127104 62908288 65987072 67632448 68482856 71834464 72737708 76297552 78200018 82027192 83058599 83239936 84286592 87123556 88411648 92536558 96246176 100956544 102225968 103737344 107228992 111284641 116731004 118456832 123983522 124254208 125816576 131974144 135264896 136965712 143668928 145475416 152595104 156400036 164054384 166117198 166479872 168573184 174247112 176438089 176823296 185073116 192492352 201913088 204451936 214457984 222569282 233462008 236397551 236913664 247967044 251633152 263948288 270529792 273931424 283151557 287337856 290950832 305190208 312800072 328108768 332234396 337146368 348494224 352876178 353646592 370146232 379375763 384984704 403826176 408903872 428915968 445138564 466924016 472795102 473827328 495934088 503266304 541059584 547862848 566303114 574675712 581901664 601487627 610380416 625600144 656217536 664468792 674292736 696988448 705752356 740292464 758751526 769969408 805892893 807652352 817807744 857831936 890277128 933848032 945590204 991868176 1006532608 1079761787 1082119168 1095725696 1132606228 1149351424 1163803328 1202975254 1220760832 1251200288 1312435072 1328937584 1348585472 1393976896 1411504712 1446700333 1480584928 1517503052 1539938816 1611785786 1615304704 1635615488 1711926323 1715663872 1780554256 1867696064 1891180408 1983736352 2159523574 2164238336 2191451392 2265212456 2293695157 2298702848 2327606656 2405950508 2441521664 2502400576 2624870144 2657875168 2787953792 2823009424 2893400666 2961169856 3035006104 3073168163 3079877632 3223571572 3271230976 3423852646 3431327744 3561108512 3680970241 3735392128 3782360816 3967472704 4319047148 4382902784 4530424912 4587390314 4597405696 4655213312 4811901016 4883043328 5004801152 5249740288 5315750336 5575907584 5646018848 5786801332 5922339712 6070012208 6146336326 6159755264 6447143144 6528209293 6542461952 6847705292 7122217024 7361940482 7470784256 7564721632 7819339151 7934945408 8638094296 8765805568 9060849824 9174780628 9310426624 9623802032 9766086656 10009602304 10476607609 10499480576 10631500672 11151815168 11292037696 11573602664 11844679424 12140024416 12292672652 12894286288 13056418586 13084923904 13695410584 14036903231 14244434048 14723880964 14941568512 15129443264 15638678302 15869890816 17276188592 17531611136 18121699648 18349561256 18620853248 19247604064 20019204608 20953215218 20998961152 21263001344 22255042199 22303630336 22584075392 23147205328 23689358848 24280048832 24585345304 25788572576 26112837172 27390821168 28073806462 28488868096 29447761928 29818037041 29883137024 30258886528 31277356604 31739781632 34552377184 36243399296 36699122512 37241706496 38495208128 39951186119 40038409216 41906430436 42526002688 44510084398 44607260672 45168150784 46294410656 47378717696 48560097664 49170690608 51577145152 52225674344 54781642336 56147612924 56977736192 58895523856 59636074082 59766274048 60517773056 62554713208 63341273951 63479563264 69104754368 72486798592 73398245024 76990416256 79902372238 80076818432 83812860872 84866720809 85052005376 89020168796 90336301568 92588821312 94757435392 97120195328 98341381216 101651408963 103154290304 104451348688 109563284672 112295225848 113955472384 117791047712 119272148164 121035546112 125109426416 126682547902 126959126528 136195898917 138209508736 144973597184 146796490048 153980832512 159804744476 167625721744 169733441618 170104010752 178040337592 180672603136 185177642624 194240390656 196682762432 203302817926 206308580608 208902697376 219126569344 224590451696 227910944768 235582095424 238544296328 242071092224 250218852832 253365095804 272391797834 276419017472 289315548587 289947194368 293592980096 307961665024 319609488952 335251443488 339466883236 356080675184 361345206272 370355285248 387634481533 388480781312 393365524864 406605635852 412617161216 417805394752 438253138688 449180903392 471164190848 477088592656 484142184448 500437705664 506730191608 519365419547 544783595668 552838034944 578631097174 579894388736 587185960192 615923330048 639218977904 670502886976 678933766472 712161350368 740710570496 775268963066 776961562624 786731049728 813211271704 823436561363 825234322432 835610789504 876506277376 898361806784 942328381696 954177185312 1000875411328 1013460383216 1038730839094 1089567191336 1103267370517 1105676069888 1157262194348 1174371920384 1231846660096 1278437955808 1321468316519 1341005773952 1357867532944 1424322700736 1481421140992 1550537926132 1573462099456 1626422543408 1646873122726 1650468644864 1671221579008 1753012554752 1796723613568 1884656763392 1908354370624 2001750822656 2026920766432 2077461678188 2179134382672 2206534741034 2211352139776 2314524388696 2343627136187 2348743840768 2556875911616 2642936633038 2682011547904 2715735065888 2848645401472 2962842281984 3101075852264 3146924198912 3252845086816 3293746245452 3342443158016 3506025109504 3593447227136 3761102131631 3769313526784 3816708741248 4003501645312 4053841532864 4154923356376 4358268765344 4413069482068 4629048777392 4687254272374 4697487681536 5039248259929 5113751823232 5285873266076 5364023095808 5431470131776 5697290802944 6202151704528 6293848397824 6505690173632 6587492490904 6684886316032 7186894454272 7522204263262 7538627053568 7633417482496 8007003290624 8107683065728 8309846712752 8716537530688 8826138964136 9258097554784 9374508544748 10078496519858 10227503646464 10571746532152 10704675297719 10728046191616 10862940263552 11394581605888 12404303409056 13011380347264 13174984981808 13369772632064 14342475816721 14373788908544 15044408526524 15266834964992 16014006581248 16215366131456 16619693425504 17433075061376 17652277928272 18516195109568 18749017089496 20156993039716 20455007292928 21143493064304 21409350595438 21456092383232 21725880527104 22789163211776 24808606818112 26022760694528 26349969963616 28684951633442 28747577817088 30088817053048 30467152770431 30533669929984 32430732262912 33239386851008 34866150122752 35304555856544 37032390219136 37498034178992 40313986079432 40910014585856 42286986128608 42818701190876 43451761054208 45578326423552 48894327711203 49617213636224 52045521389056 52699939927232 57369903266884 60177634106096 60934305540862 61067339859968 64861464525824 66478773702016 69732300245504 70609111713088 74064780438272 74996068357984 80627972158864 81820029171712 84573972257216 85637402381752 86903522108416 97788655422406 99234427272448 104091042778112 105399879854464 114739806533768 120355268212192 121868611081724 129722929051648 132957547404032 139160778870347 139464600491008 141218223426176 148129560876544 149992136715968 161255944317728 169147944514432 171274804763504 173807044216832 186452185617373 195577310844812 198468854544896 208182085556224 210799759708928 229479613067536 240710536424384 243737222163448 265915094808064 278321557740694 278929200982016 282436446852352 296259121753088 299984273431936 322511888635456 338295889028864 342549609527008 372904371234746 391154621689624 396072986015603 396937709089792 421599519417856 458959226135072 481421072848768 487474444326896 531830189616128 556643115481388 564872893704704 592518243506176 599968546863872 645023777270912 676591778057728 685099219054016 745808742469492 782309243379248 792145972031206 793875418179584 843199038835712 917918452270144 962842145697536 974948888653792 1063660379232256 1113286230962776 1129745787409408 1199937093727744 1290047554541824 1353183556115456 1370198438108032 1491617484938984 1564618486758496 1584291944062412 1686398077671424 1809090125314511 1835836904540288 1925684291395072 1949897777307584 2226572461925552 2259491574818816 2399874187455488 2580095109083648 2706367112230912 2740396876216064 2983234969877968 3129236973516992 3168583888124824 3618180250629022 3671673809080576 3851368582790144 3899795554615168 4453144923851104 4799748374910976 5148948818202839 5160190218167296 5480793752432128 5966469939755936 6258473947033984 6337167776249648 7236360501258044 7343347618161152 7702737165580288 7799591109230336 8906289847702208 10297897636405678 10320380436334592 10961587504864256 11932939879511872 12516947894067968 12674335552499296 14472721002516088 14686695236322304 15599182218460672 17812579695404416 20595795272811356 21923175009728512 23865879759023744 25033895788135936 25348671104998592 28945442005032176 29373390472644608 31198364436921344 35625159390808832 41191590545622712 47731759518047488 50067791576271872 50697342209997184 57890884010064352 62396728873842688 66936334636636907 71250318781617664 82383181091245424 95463519036094976 100135583152543744 101394684419994368 115781768020128704 133872669273273814 142500637563235328 164766362182490848 190927038072189952 202789368839988736 231563536040257408 267745338546547628 285001275126470656 329532724364981696 381854076144379904 405578737679977472 463127072080514816 535490677093095256 659065448729963392 811157475359954944 926254144161029632 1070981354186190512 1318130897459926784 1852508288322059264 2141962708372381024 2636261794919853568 3705016576644118528 4283925416744762048 5272523589839707136 8567850833489524096 10545047179679414272 17135701666979048192 34271403333958096384 68542806667916192768 137085613335832385536
- Sum of all divisors σ(n): 306046335184395624000
- Sum of proper divisors (its aliquot sum) s(n): 168960721848563238464
- 137085613335832385536 is an abundant number, because the sum of its proper divisors (168960721848563238464) is greater than itself. Its abundance is 31875108512730852928
Bases of 137085613335832385536
- Binary: 11101101110011100011110111100000100101010101101011101011000000000002
- Hexadecimal: 0x76E71EF04AAD75800
- Base-36: SXIFU9L7U7MKG
Squares and roots of 137085613335832385536
- 137085613335832385536 squared (1370856133358323855362) is 18792465383661345985693178310800542007296
- 137085613335832385536 cubed (1370856133358323855363) is 2576176643211614278751529878982394220480383488639993596870656
-
The
square root of 137085613335832385536 is 11708356559.9887837349 -
The
cube root of 137085613335832385536 is 5156210.3523843649
Scales and comparisons
How big is 137085613335832385536?- 137,085,613,335,832,385,536 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,085,613,335,832,385,536 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 137085613335832385536 cubic inches would be around 429684.2 feet tall.
Recreational maths with 137085613335832385536
- 137085613335832385536 backwards is 635583238533316580731
- The number of decimal digits it has is: 21
- The sum of 137085613335832385536's digits is 88
- More coming soon!
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"Number 137085613335832385536 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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The information we have on file for 137085613335832385536 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 137085613335832385536, math, Factors of 137085613335832385536, curriculum, school, college, exams, university, Prime factorization of 137085613335832385536, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quintillion, eighty-five quadrillion, six hundred thirteen trillion, three hundred thirty-five billion, eight hundred thirty-two million, three hundred eighty-five thousand, five hundred thirty-six.