138589938714096393750
138,589,938,714,096,393,750 is an even composite number composed of five prime numbers multiplied together.
What does the number 138589938714096393750 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
138589938714096393750 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138589938714096393750:
2 × 38 × 55 × 433 × 3493
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 43 × 43 × 43 × 349 × 349 × 349)See below for interesting mathematical facts about the number 138589938714096393750 from the Numbermatics database.
Names of 138589938714096393750
- Cardinal: 138589938714096393750 can be written as One hundred thirty-eight quintillion, five hundred eighty-nine quadrillion, nine hundred thirty-eight trillion, seven hundred fourteen billion, ninety-six million, three hundred ninety-three thousand, seven hundred fifty.
Scientific notation
- Scientific notation: 1.3858993871409639375 × 1020
Factors of 138589938714096393750
Divisors of 138589938714096393750
- Number of divisors d(n): 1728
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Complete list of divisors:
1 2 3 5 6 9 10 15 18 25 27 30 43 45 50 54 75 81 86 90 125 129 135 150 162 215 225 243 250 258 270 349 375 387 405 430 450 486 625 645 675 698 729 750 774 810 1047 1075 1125 1161 1215 1250 1290 1350 1458 1745 1849 1875 1935 2025 2094 2150 2187 2250 2322 2430 3125 3141 3225 3375 3483 3490 3645 3698 3750 3870 4050 4374 5235 5375 5547 5625 5805 6075 6250 6282 6450 6561 6750 6966 7290 8725 9245 9375 9423 9675 10125 10449 10470 10750 10935 11094 11250 11610 12150 13122 15007 15705 16125 16641 16875 17415 17450 18225 18490 18750 18846 19350 20250 20898 21870 26175 26875 27735 28125 28269 29025 30014 30375 31347 31410 32250 32805 33282 33750 34830 36450 43625 45021 46225 47115 48375 49923 50625 52245 52350 53750 54675 55470 56250 56538 58050 60750 62694 65610 75035 78525 79507 80625 83205 84375 84807 87075 87250 90042 91125 92450 94041 94230 96750 99846 101250 104490 109350 121801 130875 134375 135063 138675 141345 145125 149769 150070 151875 156735 157050 159014 161250 164025 166410 168750 169614 174150 182250 188082 218125 225105 231125 235575 238521 241875 243602 249615 253125 254421 261225 261750 268750 270126 273375 277350 282123 282690 290250 299538 303750 313470 328050 365403 375175 392625 397535 403125 405189 416025 424035 435375 436250 449307 450210 455625 462250 470205 471150 477042 483750 499230 506250 508842 522450 546750 564246 609005 645301 654375 675315 693375 706725 715563 725625 730806 748845 750350 759375 763263 783675 785250 795070 806250 810378 820125 832050 848070 870750 898614 911250 940410 1090625 1096209 1125525 1155625 1177875 1192605 1209375 1215567 1218010 1248075 1272105 1290602 1306125 1308750 1347921 1350630 1366875 1386750 1410615 1413450 1431126 1451250 1497690 1518750 1526526 1567350 1640250 1827015 1875875 1935903 1963125 1987675 2025945 2080125 2120175 2146689 2176875 2181250 2192418 2246535 2251050 2278125 2289789 2311250 2351025 2355750 2385210 2418750 2431134 2496150 2544210 2612250 2695842 2733750 2821230 3045025 3226505 3271875 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1473718258143750 1499079921190875 1520877242404350 1539169928634375 1588423366350675 1591615718795250 1634180418056250 1642547421796698 1665644356878750 1718944976298870 1743116187431250 1764914851500750 1847003914361250 2112329503339375 2210577387215625 2281315863606525 2387423578192875 2451270627084375 2463821132695047 2498466535318125 2534795404007250 2578417464448305 2647372277251125 2652692864658750 2737579036327830 2776073928131250 2864908293831450 2941524752501250 2998159842381750 3078339857268750 3176846732701350 3802193106010875 3979039296988125 4106368554491745 4164110892196875 4224659006678750 4297362440747175 4412287128751875 4421154774431250 4562631727213050 4617509785903125 4774847156385750 4902541254168750 4927642265390094 4996933070636250 5156834928896610 5294744554502250 6336988510018125 6631732161646875 6843947590819575 7162270734578625 7353811881253125 7391463398085141 7495399605954375 7604386212021750 7942116831753375 7958078593976250 8212737108983490 8328221784393750 8594724881494350 8824574257503750 9235019571806250 10561647516696875 11406579318032625 11937117890964375 12319105663475235 12492332676590625 12673977020036250 12892087322241525 13236861386255625 13263464323293750 13687895181639150 14324541469157250 14707623762506250 14782926796170282 14990799211908750 15884233663506750 19010965530054375 19895196484940625 20531842772458725 21123295033393750 21486812203735875 22061435643759375 22174390194255423 22813158636065250 23874235781928750 24638211326950470 24984665353181250 25784174644483050 26473722772511250 31684942550090625 34219737954097875 35811353672893125 36957316990425705 37476998029771875 38021931060108750 39710584158766875 39790392969881250 41063685544917450 42973624407471750 44122871287518750 44348780388510846 57032896590163125 59685589454821875 61595528317376175 63369885100181250 64460436611207625 66184306931278125 68439475908195750 71622707345786250 73914633980851410 74953996059543750 79421168317533750 95054827650271875 102659213862293625 107434061018679375 110871950971277115 114065793180326250 119371178909643750 123191056634752350 128920873222415250 132368613862556250 171098689770489375 179056768364465625 184786584952128525 190109655300543750 198552920793834375 205318427724587250 214868122037358750 221743901942554230 285164482950815625 307977641586880875 322302183056038125 342197379540978750 358113536728931250 369573169904257050 397105841587668750 513296069311468125 537170305093396875 554359754856385575 570328965901631250 615955283173761750 644604366112076250 855493448852446875 923932924760642625 1026592138622936250 1074340610186793750 1108719509712771150 1539888207934404375 1611510915280190625 1710986897704893750 1847865849521285250 2566480346557340625 2771798774281927875 3079776415868808750 3223021830560381250 4619664623803213125 5132960693114681250 5543597548563855750 7699441039672021875 9239329247606426250 13858993871409639375 15398882079344043750 23098323119016065625 27717987742819278750 46196646238032131250 69294969357048196875 138589938714096393750
- Sum of all divisors σ(n): 400165454594145240000
- Sum of proper divisors (its aliquot sum) s(n): 261575515880048846250
- 138589938714096393750 is an abundant number, because the sum of its proper divisors (261575515880048846250) is greater than itself. Its abundance is 122985577165952452500
Bases of 138589938714096393750
- Binary: 11110000011010100100101111011111010110000001101111101011110000101102
- Hexadecimal: 0x783525EFAC0DF5E16
- Base-36: T8XW13VK2C3DI
Squares and roots of 138589938714096393750
- 138589938714096393750 squared (1385899387140963937502) is 19207171112776994381605834566755039062500
- 138589938714096393750 cubed (1385899387140963937503) is 2661920667390926284946327188913575522938320159171630859375000
-
The
square root of 138589938714096393750 is 11772422805.6121223287 -
The
cube root of 138589938714096393750 is 5175002.5433685231
Scales and comparisons
How big is 138589938714096393750?- 138,589,938,714,096,393,750 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,589,938,714,096,393,750 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 138589938714096393750 cubic inches would be around 431250.2 feet tall.
Recreational maths with 138589938714096393750
- 138589938714096393750 backwards is 057393690417839985831
- The number of decimal digits it has is: 21
- The sum of 138589938714096393750's digits is 108
- More coming soon!
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"Number 138589938714096393750 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 138589938714096393750 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138589938714096393750/
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The information we have on file for 138589938714096393750 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!
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