138435836127099956136
138,435,836,127,099,956,136 is an even composite number composed of six prime numbers multiplied together.
What does the number 138435836127099956136 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
138435836127099956136 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138435836127099956136:
23 × 36 × 19 × 127 × 1992 × 157612
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 127 × 199 × 199 × 15761 × 15761)See below for interesting mathematical facts about the number 138435836127099956136 from the Numbermatics database.
Names of 138435836127099956136
- Cardinal: 138435836127099956136 can be written as One hundred thirty-eight quintillion, four hundred thirty-five quadrillion, eight hundred thirty-six trillion, one hundred twenty-seven billion, ninety-nine million, nine hundred fifty-six thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 1.38435836127099956136 × 1020
Factors of 138435836127099956136
Divisors of 138435836127099956136
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 127 152 162 171 199 216 228 243 254 324 342 381 398 456 486 508 513 597 648 684 729 762 796 972 1016 1026 1143 1194 1368 1458 1524 1539 1592 1791 1944 2052 2286 2388 2413 2916 3048 3078 3429 3582 3781 4104 4572 4617 4776 4826 5373 5832 6156 6858 7164 7239 7562 9144 9234 9652 10287 10746 11343 12312 13716 13851 14328 14478 15124 15761 16119 18468 19304 20574 21492 21717 22686 25273 27432 27702 28956 30248 30861 31522 32238 34029 36936 39601 41148 42984 43434 45372 47283 48357 50546 55404 57912 61722 63044 64476 65151 68058 75819 79202 82296 86868 90744 92583 94566 96714 101092 102087 110808 118803 123444 126088 128952 130302 136116 141849 145071 151638 158404 173736 185166 189132 193428 195453 202184 204174 227457 237606 246888 260604 272232 283698 290142 299459 303276 306261 316808 356409 370332 378264 386856 390906 408348 425547 454914 475212 480187 521208 567396 580284 586359 598918 606552 612522 682371 712818 740664 752419 781812 816696 851094 898377 909828 918783 950424 960374 1069227 1134792 1160568 1172718 1197836 1225044 1276641 1364742 1425636 1440561 1504838 1563624 1702188 1759077 1796754 1819656 1837566 1920748 2001647 2047113 2138454 2257257 2345436 2395672 2450088 2553282 2695131 2729484 2756349 2851272 2881122 3009676 3136439 3207681 3404376 3518154 3593508 3675132 3829923 3841496 4003294 4094226 4276908 4321683 4514514 4690872 5029327 5106564 5390262 5458968 5512698 5762244 6004941 6019352 6141339 6272878 6415362 6771771 7036308 7187016 7350264 7659846 8006588 8085393 8188452 8553816 8643366 9029028 9409317 9623043 10058654 10213128 10780524 11025396 11489769 11524488 12009882 12282678 12545756 12830724 12965049 13543542 14072616 15087981 15319692 16013176 16170786 16376904 17286732 18014823 18058056 18424017 18818634 19246086 20117308 20315313 21561048 22050792 22979538 24019764 24256179 24565356 25091512 25661448 25930098 27087084 28227951 28869129 30175962 30639384 32341572 34573464 36029646 36848034 37637268 38031293 38492172 38895147 40234616 40630626 45263943 45959076 48039528 48512358 49130712 51860196 54044469 54174168 56455902 57738258 59592341 60351924 60945939 64683144 72059292 72768537 73696068 75274536 76062586 76984344 77790294 81261252 84683853 90527886 91918152 95557213 97024716 103720392 108088938 112911804 114093879 115476516 116685441 119184682 120703848 121891878 135791829 144118584 145537074 147392136 152125172 155580588 162133407 162522504 169367706 178777023 181055772 182837817 191114426 194049432 216177876 218305611 225823608 228187758 230953032 233370882 238369364 243783756 248409121 254051559 271583658 286671639 291074148 304250344 311161176 324266814 338735412 342281637 350056323 357554046 362111544 365675634 382228852 398327753 407375487 432355752 436611222 456375516 466741764 476738728 486400221 487567512 496818242 508103118 536331069 543167316 548513451 573343278 582148296 624151361 648533628 677470824 684563274 700112646 715108092 731351268 745227363 762154677 764457704 796655506 814750974 860014917 873222444 912751032 933483528 972800442 993636484 1016206236 1026844911 1072662138 1086334632 1097026902 1146686556 1194983259 1222126461 1248302722 1297067256 1369126548 1400225292 1430216184 1459200663 1462702536 1490454726 1524309354 1593311012 1608993207 1629501948 1720029834 1746444888 1872454083 1945600884 1987272968 2032412472 2053689822 2145324276 2194053804 2235682089 2286464031 2293373112 2389966518 2444252922 2496605444 2580044751 2738253096 2800450584 2918401326 2980909452 3048618708 3080534733 3186622024 3217986414 3259003896 3440059668 3584949777 3666379383 3744908166 3891201768 4107379644 4290648552 4388107608 4471364178 4572928062 4719773299 4779933036 4826979621 4888505844 4993210888 5160089502 5617362249 5836802652 5961818904 6097237416 6161069466 6435972828 6707046267 6880119336 7169899554 7332758766 7489816332 7568227307 7740134253 8214759288 8942728356 9145856124 9241604199 9439546598 9559866072 9653959242 9777011688 10320179004 10754849331 11234724498 11673605304 11858875859 12322138932 12871945656 13414092534 14159319897 14339799108 14480938863 14665517532 14979632664 15136454614 15480268506 16852086747 17885456712 18291712248 18483208398 18879093196 19307918484 20121138801 20640358008 21509698662 22469448996 22704681921 23220402759 23717751718 24644277864 26828185068 27724812597 28318639794 28679598216 28961877726 29331035064 30272909228 30960537012 31547958367 32264547993 33704173494 35576627577 36966416796 37758186392 38615836968 40242277602 42477959691 43019397324 43442816589 44938897992 45409363842 46440805518 47435503436 49433415079 50556260241 53656370136 55449625194 56637279588 57923755452 60363416403 60545818456 61921074024 63095916734 64529095986 67408346988 68114045763 69661208277 71153255154 73932833592 79267222847 80484555204 84955919382 86038794648 86885633178 90818727684 92881611036 94643875101 94871006872 96793643979 98866830158 101112520482 106729882731 110899250388 113274559176 115847510904 120726832806 126191833468 127433879073 129058191972 134816693976 136228091526 139322416554 142306510308 148300245237 151668780723 158534445694 160969110408 169911838764 173771266356 181090249209 181637455368 185763222072 189287750202 193587287958 197733660316 202225040964 204342137289 213459765462 221798500776 237801668541 241453665612 252383666936 254867758146 258116383944 272456183052 278644833108 283931625303 284613020616 290380931937 296600490474 303337561446 317068891388 320189648193 339823677528 347542532712 362180498418 378575500404 382301637219 387174575916 395467320632 404450081928 408684274578 426919530924 444900735711 455006342169 475603337082 482907331224 509735516292 544912366104 557289666216 567863250606 580761863874 593200980948 599411208973 606675122892 613026411867 634137782776 640379296386 713405005623 724360996836 757151000808 764603274438 774349151832 817368549156 851794875909 853839061848 889801471422 910012684338 939234886501 951206674164 960568944579 1019471032584 1135726501212 1146904911657 1161523727748 1186401961896 1198822417946 1213350245784 1226052823734 1280758592772 1334702207133 1426810011246 1448721993672 1506077234093 1529206548876 1634737098312 1703589751818 1779602942844 1798233626919 1820025368676 1839079235601 1878469773002 1902413348328 1921137889158 2140215016869 2271453002424 2293809823314 2323047455496 2397644835892 2452105647468 2555384627727 2561517185544 2669404414266 2817704659503 2853620022492 2881706833737 3012154468186 3058413097752 3407179503636 3440714734971 3559205885688 3596467253838 3640050737352 3678158471202 3756939546004 3842275778316 4004106621399 4280430033738 4518231702279 4587619646628 4795289671784 4904211294936 5110769255454 5338808828532 5394700880757 5517237706803 5635409319006 5707240044984 5763413667474 6024308936372 6278043715033 6420645050607 6814359007272 6881429469942 7192934507676 7356316942404 7513879092008 7666153883181 7684551556632 8008213242798 8453113978509 8560860067476 8645120501211 9036463404558 9175239293256 9837249600721 10221538510908 10677617657064 10789401761514 11034475413606 11270818638012 11526827334948 12012319864197 12048617872744 12556087430066 12841290101214 13554695106837 13762858939884 14385869015352 14712633884808 15332307766362 16016426485596 16184102642271 16906227957018 17121720134952 17290241002422 18072926809116 18834131145099 19261935151821 19674499201442 20443077021816 21578803523028 22068950827212 22541637276024 22998461649543 23053654669896 24024639728394 25112174860132 25359341935527 25682580202428 27109390213674 27525717879768 29511748802163 30664615532724 32032852971192 32368205284542 33812455914036 34580482004844 36036959592591 36145853618232 37668262290198 38523870303642 39348998402884 40664085320511 43157607046056 44137901654424 45996923299086 48049279456788 48552307926813 50224349720264 50718683871054 51365160404856 54218780427348 56502393435297 57785805455463 59023497604326 61329231065448 64736410569084 67624911828072 69160964009688 72073919185182 75336524580396 76078025806581 77047740607284 78697996805768 81328170641022 88535246406489 91993846598172 96098558913576 97104615853626 101437367742108 108437560854696 113004786870594 115571610910926 118046995208652 119282830585627 121992255961533 129472821138168 144147838370364 145656923780439 150673049160792 152156051613162 154095481214568 162656341282044 169507180305891 177070492812978 183987693196344 186907742413699 194209231707252 202874735484216 226009573741188 228234077419743 231143221821852 236093990417304 238565661171254 243984511923066 265605739219467 288295676740728 291313847560878 304312103226324 325312682564088 339014360611782 354140985625956 357848491756881 365976767884599 373815484827398 388418463414504 436970771341317 452019147482376 456468154839486 462286443643704 477131322342508 487969023846132 508521540917673 531211478438934 560723227241097 582627695121756 608624206452648 678028721223564 684702232259229 708281971251912 715696983513762 731953535769198 747630969654796 796817217658401 873941542682634 912936309678972 954262644685016 975938047692264 1017043081835346 1062422956877868 1073545475270643 1097930303653797 1121446454482194 1165255390243512 1249330699291567 1356057442447128 1369404464518458 1431393967027524 1463907071538396 1495261939309592 1525564622753019 1593634435316802 1682169681723291 1747883085365268 1825872619357944 2034086163670692 2124845913755736 2147090950541286 2195860607307594 2242892908964388 2390451652975203 2498661398583134 2738808929036916 2862787934055048 2927814143076792 3051129245506038 3187268870633604 3220636425811929 3364339363446582 3495766170730536 3747992097874701 4068172327341384 4294181901082572 4391721214615188 4485785817928776 4576693868259057 4780903305950406 4997322797166268 5046509045169873 5477617858073832 6102258491012076 6374537741267208 6441272851623858 6728678726893164 7171354958925609 7495984195749402 8588363802165144 8783442429230376 9153387736518114 9561806611900812 9661909277435787 9994645594332536 10093018090339746 11243976293624103 12204516982024152 12882545703247716 13457357453786328 14342709917851218 14991968391498804 15139527135509619 18306775473036228 19123613223801624 19323818554871574 20186036180679492 22487952587248206 23737283286539773 25765091406495432 28685419835702436 28985727832307361 29983936782997608 30279054271019238 33731928880872309 36613550946072456 38647637109743148 40372072361358984 44975905174496412 45418581406528857 47474566573079546 57370839671404872 57971455664614722 60558108542038476 67463857761744618 71211849859619319 77295274219486296 86957183496922083 89951810348992824 90837162813057714 94949133146159092 101195786642616927 115942911329229444 121116217084076952 134927715523489236 136255744219586571 142423699719238638 173914366993844166 181674325626115428 189898266292318184 202391573285233854 213635549578857957 231885822658458888 269855431046978472 272511488439173142 284847399438477276 303587359927850781 347828733987688332 363348651252230856 404783146570467708 427271099157715914 545022976878346284 569694798876954552 607174719855701562 640906648736573871 695657467975376664 809566293140935416 854542198315431828 910762079783552343 1090045953756692568 1214349439711403124 1281813297473147742 1709084396630863656 1821524159567104686 1922719946209721613 2428698879422806248 2563626594946295484 3643048319134209372 3845439892419443226 5127253189892590968 5768159838629164839 7286096638268418744 7690879784838886452 11536319677258329678 15381759569677772904 17304479515887494517 23072639354516659356 34608959031774989034 46145278709033318712 69217918063549978068 138435836127099956136
- Sum of all divisors σ(n): 414992706575359449600
- Sum of proper divisors (its aliquot sum) s(n): 276556870448259493464
- 138435836127099956136 is an abundant number, because the sum of its proper divisors (276556870448259493464) is greater than itself. Its abundance is 138121034321159537328
Bases of 138435836127099956136
- Binary: 11110000001001011101110001101111110001110111111101100101011101010002
- Hexadecimal: 0x7812EE37E3BFB2BA8
- Base-36: T7RQOASERJMI0
Squares and roots of 138435836127099956136
- 138435836127099956136 squared (1384358361270999561362) is 19164480724209273382655378241773124050496
- 138435836127099956136 cubed (1384358361270999561363) is 2653050912997600859096661347016003467995972844337728249043456
-
The
square root of 138435836127099956136 is 11765875918.3963841483 -
The
cube root of 138435836127099956136 is 5173083.7483693421
Scales and comparisons
How big is 138435836127099956136?- 138,435,836,127,099,956,136 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,435,836,127,099,956,136 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 138435836127099956136 cubic inches would be around 431090.3 feet tall.
Recreational maths with 138435836127099956136
- 138435836127099956136 backwards is 631659990721638534831
- The number of decimal digits it has is: 21
- The sum of 138435836127099956136's digits is 99
- More coming soon!
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"Number 138435836127099956136 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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The information we have on file for 138435836127099956136 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 138435836127099956136, math, Factors of 138435836127099956136, curriculum, school, college, exams, university, Prime factorization of 138435836127099956136, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, four hundred thirty-five quadrillion, eight hundred thirty-six trillion, one hundred twenty-seven billion, ninety-nine million, nine hundred fifty-six thousand, one hundred thirty-six.