138235088938224375
138,235,088,938,224,375 is an odd composite number composed of four prime numbers multiplied together.
What does the number 138235088938224375 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 720 divisors.
138235088938224375 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138235088938224375:
311 × 54 × 373 × 1572
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 37 × 37 × 37 × 157 × 157)See below for interesting mathematical facts about the number 138235088938224375 from the Numbermatics database.
Names of 138235088938224375
- Cardinal: 138235088938224375 can be written as One hundred thirty-eight quadrillion, two hundred thirty-five trillion, eighty-eight billion, nine hundred thirty-eight million, two hundred twenty-four thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.38235088938224375 × 1017
Factors of 138235088938224375
Divisors of 138235088938224375
- Number of divisors d(n): 720
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Complete list of divisors:
1 3 5 9 15 25 27 37 45 75 81 111 125 135 157 185 225 243 333 375 405 471 555 625 675 729 785 925 999 1125 1215 1369 1413 1665 1875 2025 2187 2355 2775 2997 3375 3645 3925 4107 4239 4625 4995 5625 5809 6075 6561 6845 7065 8325 8991 10125 10935 11775 12321 12717 13875 14985 16875 17427 18225 19625 19683 20535 21195 23125 24649 24975 26973 29045 30375 32805 34225 35325 36963 38151 41625 44955 50625 50653 52281 54675 58875 59049 61605 63585 69375 73947 74925 80919 87135 91125 98125 98415 102675 105975 110889 114453 123245 124875 134865 145225 151875 151959 156843 164025 171125 176625 177147 184815 190755 208125 214933 221841 224775 242757 253265 261405 273375 294375 295245 308025 317925 332667 343359 369735 374625 404595 435675 455625 455877 470529 492075 513375 529875 554445 572265 616225 624375 644799 665523 674325 726125 728271 759795 784215 820125 855625 883125 885735 912013 924075 953775 998001 1030077 1074665 1109205 1123875 1213785 1266325 1307025 1366875 1367631 1411587 1476225 1540125 1589625 1663335 1716795 1848675 1873125 1934397 1996569 2022975 2178375 2184813 2279385 2352645 2460375 2566875 2649375 2736039 2772225 2861325 2994003 3081125 3090231 3223995 3327615 3371625 3630625 3641355 3798975 3921075 4100625 4102893 4234761 4428675 4560065 4620375 4768875 4990005 5150385 5373325 5546025 5619375 5803191 5989707 6068925 6331625 6535125 6554439 6838155 7057935 7381125 7700625 7948125 7952521 8208117 8316675 8583975 8982009 9243375 9270693 9671985 9982845 10114875 10891875 10924065 11396925 11763225 12301875 12308679 12704283 13680195 13861125 14306625 14970015 15405625 15451155 16119975 16638075 16858125 17409573 17969121 18206775 18994875 19605375 20514465 21173805 22143375 22800325 23101875 23844375 23857563 24624351 24950025 25751925 26866625 26946027 27730125 27812079 29015955 29948535 30344625 31658125 32675625 32772195 33744481 34190775 35289675 36905625 36926037 38112849 39762605 41040585 41583375 42919875 44910045 46216875 46353465 48359925 49914225 50574375 52228719 53907363 54620325 56984625 58816125 61543395 63521415 68400975 69305625 71533125 71572689 73873053 74850075 77255775 80599875 80838081 83190375 87047865 89845605 91033875 94974375 98026875 101233443 102572325 105869025 110716875 110778111 114001625 114338547 119287815 123121755 124750125 128759625 134333125 134730135 138650625 139060395 145079775 149742675 151723125 156686157 161722089 163860975 168722405 170953875 176448375 184630185 190564245 198813025 205202925 207916875 214599375 214718067 221619159 224550225 231767325 241799625 242514243 249571125 261143595 269536815 273101625 284923125 294080625 303700329 307716975 317607075 332334333 342004875 343015641 357863445 369365265 374250375 386278875 402999375 404190405 415951875 435239325 449228025 455169375 470058471 485166267 506167215 512861625 529345125 553890555 570008125 571692735 596439075 615608775 623750625 643798125 644154201 664857477 673650675 695301975 725398875 748713375 783430785 808610445 819304875 843612025 854769375 882241875 911100987 923150925 952821225 994065125 997002999 1026014625 1029046923 1073590335 1108095795 1122751125 1158836625 1208998125 1212571215 1247855625 1248545797 1305717975 1347684075 1365508125 1410175413 1455498801 1518501645 1538584875 1588035375 1661671665 1710024375 1715078205 1789317225 1846826325 1871251875 1931394375 1932462603 1994572431 2020952025 2176196625 2246140125 2350292355 2425831335 2530836075 2564308125 2646725625 2733302961 2769452775 2858463675 2982195375 2991008997 3078043875 3220771005 3324287385 3368253375 3476509875 3626994375 3743566875 3745637391 3917153925 4043052225 4096524375 4218060125 4230526239 4366496403 4555504935 4615754625 4764106125 4970325625 4985014995 5130073125 5145234615 5367951675 5540478975 5613755625 5794183125 5797387809 5983717293 6062856075 6242728985 6528589875 6738420375 7050877065 7277494005 7592508225 7692924375 7940176875 8199908883 8308358325 8575391025 8946586125 8973026991 9234131625 9662313015 9972862155 10104760125 10880983125 11230700625 11236912173 11751461775 12129156675 12654180375 12691578717 13666514805 13847263875 14292318375 14910976875 14955044985 15390219375 16103855025 16621436925 16841266875 17382549375 17392163427 17951151879 18728186955 19585769625 20215261125 21090300625 21152631195 21832482015 22777524675 23078773125 23820530625 24599726649 24925074975 25726173075 26839758375 27702394875 28986939045 29918586465 30314280375 31213644925 32642949375 33692101875 33710736519 35254385325 36387470025 37962541125 38074736151 40999544415 41541791625 42876955125 44732930625 44865134955 46170658125 48311565075 49864310775 50523800625 52176490281 53853455637 56184560865 58757308875 60645783375 63270901875 63457893585 68332574025 69236319375 71461591875 73799179947 74775224925 80519275125 83107184625 86960817135 89755759395 93640934775 97928848125 101076305625 101132209557 105763155975 109162410075 113887623375 122998633245 124625374875 128630865375 134198791875 138511974375 144934695225 149592932325 151571401875 156068224625 156529470843 161560366911 168553682595 176271926625 181937350125 189812705625 190373680755 204997722075 207708958125 214384775625 221397539841 224325674775 241557825375 249321553875 260882451405 269267278185 280922804325 293786544375 303228916875 303396628671 317289467925 341662870125 368995899735 373876124625 402596375625 415535923125 434804085675 448778796975 468204673875 469588412529 505661047785 528815779875 545812050375 569438116875 614993166225 623126874375 643154326875 664192619523 724673476125 747964661625 780341123125 782647354215 807801834555 842768412975 881359633125 909686750625 910189886013 951868403775 1024988610375 1106987699205 1121628373875 1207789126875 1246607769375 1304412257025 1346336390925 1404614021625 1408765237587 1516983143355 1586447339625 1708314350625 1844979498675 1869380623125 1992577858569 2174020428375 2243893984875 2341023369375 2347942062645 2528305238925 2644078899375 2729060251875 2730569658039 3074965831125 3320963097615 3623367380625 3739823308125 3913236771075 4039009172775 4213842064875 4550949430065 4759342018875 5124943051875 5534938496025 5608141869375 5977733575707 6522061285125 6731681954625 7023070108125 7043826187935 7584915716775 7932236698125 8191708974117 9224897493375 9962889292845 10870102141875 11219469924375 11739710313225 12641526194625 13652848290195 15374829155625 16604815488075 19566183855375 20195045863875 21069210324375 22754747150325 23796710094375 24575126922351 27674692480125 29888667878535 32610306425625 33658409773125 35219130939675 37924578583875 40958544870585 46124487466875 49814446464225 58698551566125 63207630973125 68264241450975 73725380767053 83024077440375 97830919276875 100975229319375 113773735751625 122875634611755 138373462400625 149443339392675 176095654698375 189622892919375 204792724352925 221176142301159 249072232321125 293492757830625 341321207254875 368626903835265 415120387201875 568868678758125 614378173058775 747216696963375 880478273491875 1023963621764625 1105880711505795 1245361161605625 1706606036274375 1843134519176325 3071890865293875 3736083484816875 5119818108823125 5529403557528975 9215672595881625 15359454326469375 27647017787644875 46078362979408125 138235088938224375
- Sum of all divisors σ(n): 268011659630114400
- Sum of proper divisors (its aliquot sum) s(n): 129776570691890025
- 138235088938224375 is a deficient number, because the sum of its proper divisors (129776570691890025) is less than itself. Its deficiency is 8458518246334350
Bases of 138235088938224375
- Binary: 1111010110001110000010100101110111010100001001010111101112
- Hexadecimal: 0x1EB1C14BBA84AF7
- Base-36: 11T48Z65L8FR
Squares and roots of 138235088938224375
- 138235088938224375 squared (1382350889382243752) is 19108939813758802964004977844140625
- 138235088938224375 cubed (1382350889382243753) is 2641525994670124852180358256374547415957685302734375
-
The
square root of 138235088938224375 is 371799796.8507034769 -
The
cube root of 138235088938224375 is 517058.2025248105
Scales and comparisons
How big is 138235088938224375?- 138,235,088,938,224,375 seconds is equal to 4,395,448,239 years, 1 week, 4 days, 5 hours, 26 minutes, 15 seconds.
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To count from 1 to 138,235,088,938,224,375 would take you about thirteen billion, one hundred eighty-six million, three hundred forty-four thousand, seven hundred seventeen 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 138235088938224375 cubic inches would be around 43088.2 feet tall.
Recreational maths with 138235088938224375
- 138235088938224375 backwards is 573422839880532831
- 138235088938224375 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138235088938224375's digits is 81
- More coming soon!
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"Number 138235088938224375 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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The information we have on file for 138235088938224375 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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