138229644134790433225
138,229,644,134,790,433,225 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138229644134790433225 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 729 divisors.
138229644134790433225 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty-nine divisors.
Prime factorization of 138229644134790433225:
52 × 72 × 112 × 132 × 11872 × 19792
(5 × 5 × 7 × 7 × 11 × 11 × 13 × 13 × 1187 × 1187 × 1979 × 1979)See below for interesting mathematical facts about the number 138229644134790433225 from the Numbermatics database.
Names of 138229644134790433225
- Cardinal: 138229644134790433225 can be written as One hundred thirty-eight quintillion, two hundred twenty-nine quadrillion, six hundred forty-four trillion, one hundred thirty-four billion, seven hundred ninety million, four hundred thirty-three thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 1.38229644134790433225 × 1020
Factors of 138229644134790433225
Divisors of 138229644134790433225
- Number of divisors d(n): 729
-
Complete list of divisors:
1 5 7 11 13 25 35 49 55 65 77 91 121 143 169 175 245 275 325 385 455 539 605 637 715 845 847 1001 1183 1187 1225 1573 1859 1925 1979 2275 2695 3025 3185 3575 4225 4235 5005 5915 5929 5935 7007 7865 8281 8309 9295 9895 11011 13013 13057 13475 13853 15431 15925 20449 21175 21769 25025 25727 29575 29645 29675 35035 39325 41405 41545 46475 49475 55055 58163 65065 65285 69265 77077 77155 91091 91399 96971 102245 108017 108845 128635 143143 143627 148225 152383 169741 175175 180089 200603 207025 207725 239459 275275 282997 290815 325325 326425 334451 346325 385385 385775 455455 456995 484855 511225 540085 544225 639793 643175 715715 718135 756119 761915 848705 900445 1002001 1003015 1005389 1066681 1188187 1197295 1260623 1404221 1408969 1414985 1454075 1672255 1676213 1867151 1926925 1980979 2206633 2277275 2284975 2341157 2349073 2424275 2700425 3112967 3198965 3578575 3590675 3678961 3780595 3809575 3916441 4243525 4502225 5010005 5015075 5026945 5333405 5940935 5986475 6303115 7021105 7037723 7044845 7074925 8317309 8361275 8381065 9335755 9829547 9862783 9904895 11033165 11705785 11733491 11745365 13070057 13866853 15446431 15498659 15564835 15994825 16388099 16443511 18316597 18394805 18902975 19582205 21790769 24272963 25050025 25134725 25752727 25839803 26667025 27415087 29704675 30537949 31515575 35105525 35188615 35224225 40468571 41586545 41905325 43080851 46678775 49147735 49313915 49524475 50913733 55165825 58528925 58667455 58726825 65350285 69039481 69334265 77232155 77493295 77824175 81940495 82217555 91490399 91582985 91974025 97911025 108125017 108490613 108953845 115104577 121364815 128216179 128763635 129199015 137075435 152535383 152689745 169910741 170485249 175943075 180269089 180878621 191905609 201482567 202342855 207932725 213765643 215404255 238115761 245738675 246569575 254568665 283279997 284237833 293337275 301565957 326751425 335917439 345197405 346671325 356396131 386160775 387466475 396993337 409702475 411087775 457451995 457914925 473889361 540625085 542453065 544769225 560051063 575522885 606824075 641080895 643818175 645995075 661878529 685377175 759434291 762676915 763448725 849553705 852426245 897513253 901345445 904393105 959528045 1007412835 1011714275 1068828215 1077021275 1189375187 1190578805 1193396743 1266150347 1272843325 1410377969 1416399985 1421189165 1496359501 1507829785 1666810327 1679587195 1725987025 1781980655 1982959979 1984966685 1989664831 2110961699 2216308237 2287259975 2351422073 2369446805 2494772917 2619273371 2703125425 2712265325 2778953359 2788349651 2800255315 2877614425 3205404475 3309392645 3317225527 3695091829 3797171455 3813384575 3920357441 4247768525 4262131225 4366926707 4487566265 4506727225 4521965525 4633149703 4648815467 4797640225 5037064175 5344141075 5946875935 5952894025 5966983715 6160561693 6330751735 7051889845 7081999925 7105945825 7280663819 7481797505 7539148925 8334051635 8353777201 8397935975 8909903275 9872645783 9914799895 9924833425 9948324155 10554808495 11081541185 11667672289 11757110365 11847234025 12473864585 13096366855 13894766795 13927653817 13941748255 14001276575 15514157659 16459954511 16546963225 16586127635 18334913597 18475459145 18985857275 19452673513 19518447557 19601787205 21834633535 22437831325 23165748515 23220578689 23244077335 25865642803 27442502087 28812007081 29734379675 29834918575 30568486949 30671846161 30802808465 31653758675 32432047921 32541708269 35259449225 36248545463 36403319095 37408987525 41670258175 41768886005 43123931851 48036193777 49363228915 49573999475 49741620775 50964646733 51136970137 52774042475 55407705925 58338361445 58785551825 60434601071 62369322925 65481834275 69473833975 69638269085 69708741275 77570788295 80087302009 82299772555 82930638175 91674567985 92377295725 97263367565 97592237785 98008936025 108599103613 109173167675 115828742575 116102893445 116220386675 128344395179 129328214015 136629132899 137212510435 144060035405 152842434745 153359230805 154014042325 162160239605 162708541345 181059499621 181242727315 182016595475 201684049567 208844430025 213979408643 214702923127 215619659255 227791957883 240180968885 246816144575 253739818241 254823233665 255684850685 291691807225 301867522957 302173005355 336253356439 337390307771 348191345425 356752527131 357958790959 387853941475 398734000093 400436510045 411498862775 423042207497 458372839925 471231091019 486316837825 487961188925 542995518065 560611114063 562506671507 580514467225 641721975895 646641070075 664780611781 683145664495 686062552175 720300177025 764212173725 766796154025 785649813923 810801198025 813542706725 905297498105 906213636575 1008420247835 1069897043215 1073514615635 1078098296275 1138959789415 1200904844425 1268699091205 1274116168325 1278424253425 1411788346969 1502920461889 1509337614785 1510865026775 1681266782195 1686951538855 1776178727687 1783762635655 1789793954795 1993670000465 2002182550225 2115211037485 2353773495073 2356155455095 2361732154397 2505711536713 2714977590325 2791138000651 2803055570315 2812533357535 2961295452479 3208609879475 3298617637133 3323903058905 3415728322475 3924277798441 3928249069615 3937546700549 4386074001023 4526487490525 4653464282467 5042101239175 5183542001209 5349485216075 5367573078175 5499548697461 5518143959329 5694798947075 6343495456025 7058941734845 7312586729591 7514602309445 7546688073925 8406333910975 8434757694275 8642147953153 8880893638435 8918813178275 8948969773975 9968350002325 10576055187425 11768867475365 11780777275475 11808660771985 12528557683565 13955690003255 14015277851575 14062666787675 14806477262395 16493088185665 16532125080779 16619515294525 19537966004557 19621388992205 19641245348075 19687733502745 21930370005115 23090323459931 23267321412335 25917710006045 27497743487305 27562826903843 27590719796645 30702518007161 32574249977269 35294708674225 36284794008463 36562933647955 37573011547225 38496840882227 38627007715303 43210739765765 44404468192175 51188107107137 57018962013299 58844337376825 59043303859925 60495035672071 60699583552619 62642788417825 69778450016275 71735871471277 74032386311975 82465440928325 82660625403895 95063627484683 97689830022785 98106944961025 98438667513725 109651850025575 115451617299655 116336607061675 129588550030225 137488717436525 137814134519215 137953598983225 153512590035805 162871249886345 181423970042315 182814668239775 192484204411135 193135038576515 214917626050127 216053698828825 253993558059241 255940535535685 270389054007121 285094810066495 302475178360355 303497917763095 358316749749959 358679357356385 399132734093093 413303127019475 423465249704497 424897084868333 475318137423415 488449150113925 502151100298939 577258086498275 665445392392781 667695419078809 689070672596075 767562950179025 789094586184047 814356249431725 907119850211575 932566329126601 962421022055675 965675192882575 1074588130250635 1269967790296205 1279702677678425 1351945270035605 1425474050332475 1512375891801775 1517489588815475 1791583748749795 1793396786781925 1995663670465465 2117326248522485 2124485424341665 2376590687117075 2510755501494695 2793929138651651 2974279594078331 3327226961963905 3338477095394045 3515057702092573 3945472930920235 4658117746749467 4662831645633005 4673867933551663 5372940651253175 5523662103288329 6349838951481025 6527964303886207 6759726350178025 8680040448024517 8957918743748975 9978318352327325 10258229620392611 10586631242612425 10622427121708325 12553777507473475 13969645693258255 14871397970391655 16636134809819525 16692385476970225 17575288510462865 19727364654601175 23290588733747335 23314158228165025 23369339667758315 27618310516441645 32639821519431035 32717075534861641 38665634723018303 43400202240122585 45695750127203449 51291148101963055 60760283136171619 69848228466291275 71807607342748277 74356989851958275 87876442552314325 112840525824318721 116452943668736675 116846698338791575 138091552582208225 163199107597155175 163585377674308205 193328173615091515 217001011200612925 228478750636017245 256455740509815275 303801415680858095 359038036713741385 425321981953201333 502653251399237939 564202629121593605 789883680770231047 817926888371541025 966640868075457575 1142393753180086225 1519007078404290475 1795190183568706925 2126609909766006665 2513266256996189695 2821013145607968025 3949418403851155235 5529185765391617329 10633049548830033325 12566331284980948475 19747092019255776175 27645928826958086645 138229644134790433225
- Sum of all divisors σ(n): 237639069444440106261
- Sum of proper divisors (its aliquot sum) s(n): 99409425309649673036
- 138229644134790433225 is a deficient number, because the sum of its proper divisors (99409425309649673036) is less than itself. Its deficiency is 38820218825140760189
Bases of 138229644134790433225
- Binary: 11101111110010100100101100011110111111100101101011110001001110010012
- Hexadecimal: 0x77E5258F7F2D789C9
- Base-36: T67CFC6T9XLU1
Squares and roots of 138229644134790433225
- 138229644134790433225 squared (1382296441347904332252) is 19107434517630803216763504688983183900625
- 138229644134790433225 cubed (1382296441347904332253) is 2641213873700917028537048951542752611967287370205089098265625
-
138229644134790433225 is a
perfect square number . Itssquare root is 11757110365 -
The
cube root of 138229644134790433225 is 5170514.1380649525
Scales and comparisons
How big is 138229644134790433225?- 138,229,644,134,790,433,225 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,229,644,134,790,433,225 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 138229644134790433225 cubic inches would be around 430876.2 feet tall.
Recreational maths with 138229644134790433225
- 138229644134790433225 backwards is 522334097431446922831
- The number of decimal digits it has is: 21
- The sum of 138229644134790433225's digits is 82
- More coming soon!
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The information we have on file for 138229644134790433225 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 138229644134790433225, math, Factors of 138229644134790433225, curriculum, school, college, exams, university, Prime factorization of 138229644134790433225, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, two hundred twenty-nine quadrillion, six hundred forty-four trillion, one hundred thirty-four billion, seven hundred ninety million, four hundred thirty-three thousand, two hundred twenty-five.