138125295728673066
138,125,295,728,673,066 is an even composite number composed of six prime numbers multiplied together.
What does the number 138125295728673066 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
138125295728673066 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138125295728673066:
2 × 33 × 11 × 172 × 713 × 1313
(2 × 3 × 3 × 3 × 11 × 17 × 17 × 71 × 71 × 71 × 131 × 131 × 131)See below for interesting mathematical facts about the number 138125295728673066 from the Numbermatics database.
Names of 138125295728673066
- Cardinal: 138125295728673066 can be written as One hundred thirty-eight quadrillion, one hundred twenty-five trillion, two hundred ninety-five billion, seven hundred twenty-eight million, six hundred seventy-three thousand and sixty-six.
Scientific notation
- Scientific notation: 1.38125295728673066 × 1017
Factors of 138125295728673066
Divisors of 138125295728673066
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 71 99 102 131 142 153 187 198 213 262 289 297 306 374 393 426 459 561 578 594 639 781 786 867 918 1122 1179 1207 1278 1441 1562 1683 1734 1917 2227 2343 2358 2414 2601 2882 3179 3366 3537 3621 3834 4323 4454 4686 5041 5049 5202 6358 6681 7029 7074 7242 7803 8646 9301 9537 10082 10098 10863 12969 13277 13362 14058 15123 15606 17161 18602 19074 20043 20519 21087 21726 24497 25938 26554 27903 28611 30246 32589 34322 37859 38907 39831 40086 41038 42174 45369 48994 51483 55451 55806 57222 60129 61557 65178 73491 75718 77814 79662 83709 85697 85833 90738 102311 102966 110902 113577 119493 120258 123114 136107 146982 154449 158117 166353 167418 171394 171666 184671 188771 204622 220473 225709 227154 238986 251127 257091 272214 291737 306933 308898 316234 332706 340731 357911 358479 369342 377542 416449 440946 451418 463347 474351 499059 502254 514182 554013 566313 583474 613866 660371 661419 677127 681462 715822 716958 771273 832898 875211 920799 926694 942667 948702 998118 1022193 1073733 1108026 1132626 1218431 1249347 1320742 1322838 1354254 1423053 1456849 1497177 1542546 1698939 1739287 1750422 1841598 1885334 1981113 2031381 2044386 2147466 2248091 2313819 2436862 2498694 2625633 2687989 2762397 2828001 2846106 2913698 2994354 3209107 3221199 3397878 3478574 3655293 3748041 3937021 3962226 4062762 4269159 4370547 4496182 4627638 4959529 5096817 5217861 5251266 5375978 5524794 5656002 5943339 6084487 6094143 6418214 6442398 6744273 7264081 7310586 7496082 7874042 7876899 8063967 8484003 8538318 8741094 9627321 9663597 9919058 10193634 10435722 10965879 11226307 11244123 11811063 11886678 12168974 12188286 13111641 13402741 13488546 14528162 14878587 15653583 15753798 16025339 16127934 16968006 17830017 18253461 19254642 19327194 20232819 20713327 21792243 21931758 22452614 22488246 23622126 24191901 24729001 25452009 26223282 26805482 28881963 29567879 29757174 31307166 32050678 32897637 33678921 35433189 35660034 36506922 38217547 39334923 40208223 40465638 41426654 43584486 44635761 46886341 46960749 48076017 48383802 49458002 50904018 54554819 54760383 57763926 59135758 60698457 62139981 65376729 65795274 66929357 67357842 70866378 72575703 74187003 76435094 78669846 80416446 86508601 86645889 88703637 89271522 93772682 93921498 96152034 101036763 103436279 106299567 109109638 109520766 114652641 120624669 121396914 123489377 124279962 130753458 133858714 133907283 140659023 144228051 145151406 148374006 159614461 163664457 164281149 173017202 173291778 177407274 186419943 190847219 196130187 200788071 202073526 206872558 212599134 222561009 227846597 229305282 241249338 246978754 259525803 266110911 267814566 281318046 288456102 303110289 310308837 319228922 327328914 328562298 343957923 352126559 361874007 370468131 372839886 381694438 392260374 401576142 420393017 421977069 432684153 445122018 455693194 478843383 490993371 515749751 519051606 532221822 559259829 572541657 602364213 606220578 620617674 649698299 667683027 683539791 687915846 704253118 723748014 740936262 778577409 797067797 798332733 840786034 843954138 865368306 930926511 951594611 957686766 981986742 1031499502 1031873769 1056379677 1111404393 1118519658 1137799069 1145083314 1204728426 1261179051 1265931207 1299396598 1335366054 1367079582 1436530149 1470646217 1472980113 1547249253 1557154818 1594135594 1596665466 1717624971 1755759071 1807092639 1861853022 1903189222 1949094897 2050619373 2063747538 2099319409 2112759354 2222808786 2275598138 2335732227 2391203391 2522358102 2531862414 2713445837 2792779533 2854783833 2873060298 2941292434 2945960226 3094498506 3169139031 3334213179 3413397207 3435249942 3511518142 3614185278 3783537153 3873392149 3898189794 4101238746 4198638818 4309590447 4411938651 4641747759 4671464454 4782406782 5152874913 5267277213 5426891674 5585559066 5709567666 5847284691 6142110671 6151858119 6297958227 6338278062 6668426358 6826794414 7146681289 7173610173 7567074306 7746784298 8140337511 8564351499 8619180894 8767745767 8823877302 9283495518 9507417093 10240191621 10305749826 10534554426 11332626731 11350611459 11620176447 11694569382 12284221342 12303716238 12595916454 13235815953 13550152549 13925243277 14293362578 14347220346 15801831639 16177108387 16280675022 17128702998 17535491534 17541854073 18426332013 18893874681 19014834186 20480383242 21440043867 21520830519 22665253462 22701222918 23240352894 24421012533 25000985689 25693054497 26303237301 26471631906 27100305098 27850486554 29847904207 30720574863 31603663278 32354216774 33997880193 34860529341 35083708146 36852664026 37787749362 39707447859 40650457647 42880087734 43041661038 46128579229 47405494917 48531325161 48842025066 50001971378 51386108994 52606474602 55278996039 56681624043 59695808414 61441149726 64320131601 67563217381 67995760386 69721058682 73263037599 75002957067 78909711903 79414895718 81300915294 89543712621 92257158458 94810989834 97062650322 101993640579 104415881407 104581588023 110557992078 113363248086 121951372941 124658894041 128640263202 135126434762 138385737687 145593975483 146526075198 149051678039 150005914134 157819423806 165836988117 179087425242 192654654427 192960394803 202689652143 203987281158 208831762814 209163176046 225008871201 236729135709 243902745882 249317788082 268631137863 275010842579 276771475374 291187950966 298103356078 305980921737 313247644221 331673976234 365854118823 373976682123 385309308854 385920789606 405379304286 415157213061 436781926449 447155034117 450017742402 473458271418 507414371519 537262275726 550021685158 577963963281 608068956429 611961843474 626495288442 675026613603 731708237646 747953364246 804616497901 805893413589 825032527737 830314426122 873563852898 894310068234 939742932663 1014828743038 1121930046369 1148574695477 1155927926562 1216137912858 1245471639183 1341465102351 1350053227206 1522243114557 1609232995802 1611786827178 1650065055474 1733891889843 1775069983919 1824206869287 1879485865326 2119201198697 2243860092738 2297149390954 2413849493703 2475097583211 2490943278366 2682930204702 2819228797989 3044486229114 3275129125259 3365790139107 3445724086431 3467783779686 3550139967838 3648413738574 4024395307053 4238402397394 4566729343671 4827698987406 4950195166422 5201675669529 5325209951757 5638457595978 6357603596091 6550258250518 6731580278214 6891448172862 7241548481109 7425292749633 8048790614106 8850781476911 9133458687342 9825387375777 10337172259293 10403351339058 10650419903514 12715207192182 13678480464317 13700188031013 14483096962218 14850585499266 15975629855271 17701562953822 19072810788273 19525769823109 19650774751554 20674344518586 21724645443327 26552344430733 27356960928634 27400376062026 29476162127331 31011516777879 31951259710542 36026420377849 38145621576546 39051539646218 41035441392951 43449290886654 47926889565813 53104688861466 57218432364819 58577309469327 58952324254662 62023033555758 72052840755698 79657033292199 82070882785902 88428486381993 95853779131626 108079261133547 114436864729638 117154618938654 123106324178853 150463285107487 159314066584398 175731928407981 176856972763986 216158522267094 232534167893389 238971099876597 246212648357706 300926570214974 324237783400641 351463856815962 369318972536559 451389855322461 465068335786778 477942199753194 527195785223943 648475566801282 697602503680167 738637945073118 902779710644922 972713350201923 1054391570447886 1354169565967383 1395205007360334 1945426700403846 2092807511040501 2557875846827279 2708339131934766 4062508697902149 4185615022081002 5115751693654558 6278422533121503 7673627540481837 8125017395804298 12556845066243006 15347255080963674 23020882621445511 46041765242891022 69062647864336533 138125295728673066
- Sum of all divisors σ(n): 363561623558369280
- Sum of proper divisors (its aliquot sum) s(n): 225436327829696214
- 138125295728673066 is an abundant number, because the sum of its proper divisors (225436327829696214) is greater than itself. Its abundance is 87311032101023148
Bases of 138125295728673066
- Binary: 1111010101011100000111001100000100110011101000001001010102
- Hexadecimal: 0x1EAB8398267412A
- Base-36: 11S1BWV7EDYI
Squares and roots of 138125295728673066
- 138125295728673066 squared (1381252957286730662) is 19078597320133389930573377113840356
- 138125295728673066 cubed (1381252957286730663) is 2635236896931693927751458002679877594921303241051496
-
The
square root of 138125295728673066 is 371652116.5400152351 -
The
cube root of 138125295728673066 is 516921.2751200299
Scales and comparisons
How big is 138125295728673066?- 138,125,295,728,673,066 seconds is equal to 4,391,957,154 years, 30 weeks, 1 day, 1 hour, 11 minutes, 6 seconds.
-
To count from 1 to 138,125,295,728,673,066 would take you about thirteen billion, one hundred seventy-five million, eight hundred seventy-one thousand, four hundred sixty-three 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 138125295728673066 cubic inches would be around 43076.8 feet tall.
Recreational maths with 138125295728673066
- 138125295728673066 backwards is 660376827592521831
- The number of decimal digits it has is: 18
- The sum of 138125295728673066's digits is 81
- 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 138125295728673066 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 138125295728673066 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/138125295728673066/
Chicago style:
Numbermatics. 2024. "Number 138125295728673066 - Facts about the integer". https://numbermatics.com/n/138125295728673066/
The information we have on file for 138125295728673066 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 138125295728673066, math, Factors of 138125295728673066, curriculum, school, college, exams, university, Prime factorization of 138125295728673066, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred twenty-five trillion, two hundred ninety-five billion, seven hundred twenty-eight million, six hundred seventy-three thousand and sixty-six.