138521783768068125
138,521,783,768,068,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138521783768068125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1350 divisors.
138521783768068125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred fifty divisors.
Prime factorization of 138521783768068125:
34 × 54 × 192 × 61 × 712 × 1572
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 19 × 19 × 61 × 71 × 71 × 157 × 157)See below for interesting mathematical facts about the number 138521783768068125 from the Numbermatics database.
Names of 138521783768068125
- Cardinal: 138521783768068125 can be written as One hundred thirty-eight quadrillion, five hundred twenty-one trillion, seven hundred eighty-three billion, seven hundred sixty-eight million, sixty-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38521783768068125 × 1017
Factors of 138521783768068125
Divisors of 138521783768068125
- Number of divisors d(n): 1350
-
Complete list of divisors:
1 3 5 9 15 19 25 27 45 57 61 71 75 81 95 125 135 157 171 183 213 225 285 305 355 361 375 405 471 475 513 549 625 639 675 785 855 915 1065 1083 1125 1159 1349 1413 1425 1525 1539 1647 1775 1805 1875 1917 2025 2355 2375 2565 2745 2983 3195 3249 3375 3477 3925 4047 4239 4275 4331 4575 4941 5041 5325 5415 5625 5751 5795 6745 7065 7125 7625 7695 8235 8875 8949 9025 9577 9585 9747 10125 10431 11147 11775 11875 12141 12717 12825 12993 13725 14915 15123 15975 16245 16875 17385 19625 20235 21195 21375 21655 22021 22875 24649 24705 25205 25631 26625 26847 27075 28731 28755 28975 29241 31293 33441 33725 35325 35625 36423 38125 38475 38979 41175 44375 44745 45125 45369 47885 47925 48735 50625 52155 55735 56677 58875 60705 63585 64125 64965 66063 68625 73947 74575 75615 76893 79875 80541 81225 82289 86193 86925 93879 95779 98125 100323 101175 105975 106875 108275 109269 110105 114375 116937 123245 123525 126025 128155 133125 134235 135375 136107 143655 143775 144875 146205 156465 167205 168625 170031 176625 181963 182115 192375 194895 198189 205875 211793 221841 223725 225625 226845 230679 239425 239625 241623 243675 246867 258579 260775 278675 283385 287337 294375 300969 303525 307501 317925 320625 324825 330315 343125 350811 369735 372875 378075 384465 399375 402705 406125 408321 411445 430965 434625 468331 469395 478895 501615 505875 510093 529875 541375 545889 546345 550525 584685 594567 616225 617625 630125 635379 640775 665523 671175 676875 679967 680535 692037 718275 718875 724375 731025 740601 775737 782325 791437 836025 843125 850155 862011 883125 902907 909815 910575 922503 961875 974475 990945 1029375 1058965 1109205 1118625 1134225 1153395 1197125 1198125 1208115 1218375 1234335 1292895 1303875 1393375 1404993 1416925 1436685 1503589 1504845 1517625 1530279 1537505 1563491 1589625 1624125 1637667 1651575 1750079 1754055 1783701 1819801 1848675 1864375 1890375 1906137 1922325 1996569 2013525 2030625 2039901 2041605 2057225 2076111 2154825 2173125 2221803 2341655 2346975 2374311 2394475 2508075 2529375 2550465 2586033 2649375 2706875 2729445 2731725 2752625 2767509 2923425 2972835 3081125 3088125 3150625 3176895 3203875 3327615 3355875 3399835 3402675 3457297 3460185 3591375 3594375 3655125 3703005 3878685 3911625 3957185 4024067 4180125 4214979 4250775 4310055 4510767 4514535 4549075 4552875 4590837 4612515 4690473 4872375 4913001 4954725 5250237 5294825 5459403 5546025 5593125 5671125 5718411 5766975 5842519 5985625 6040575 6091875 6119703 6171675 6464475 6519375 6665409 6966875 7024965 7084625 7122933 7183425 7517945 7524225 7588125 7651395 7687525 7758099 7817455 7948125 8120625 8188335 8257875 8302527 8750395 8770275 8898289 8918505 9099005 9243375 9451875 9530685 9611625 9982845 10067625 10199505 10208025 10286125 10371891 10380555 10774125 11109015 11708275 11734875 11871555 11972375 12072201 12540375 12644937 12752325 12919373 12930165 13532301 13647225 13658625 13763125 13837545 14071419 14617125 14739003 14864175 15037303 15405625 15750711 15884475 16019375 16378209 16638075 16779375 16999175 17013375 17155233 17286485 17300925 17527557 17956875 18275625 18359109 18515025 19393425 19558125 19785925 20120335 20900625 21074895 21253875 21368799 21550275 22553835 22572675 22745375 22764375 22954185 23062575 23452365 24361875 24565005 24773625 24907581 26251185 26474125 26694867 27297015 27730125 28355625 28568191 28592055 28834875 29212595 30202875 30598515 30858375 31115673 32322375 33251501 33327045 35124825 35423125 35614665 35917125 36216603 37589725 37621125 37934811 38256975 38437625 38758119 38790495 39087275 40596903 40941675 41289375 41512635 42214257 43751975 43851375 44491445 44592525 45111909 45495025 46216875 47252133 47653425 48058125 48277657 49134627 49914225 50338125 50997525 51040125 51430625 51859455 51902775 52582671 53870625 55077327 55545075 58541375 58674375 59357775 59861875 60361005 62701875 63224685 63761625 64106397 64596865 64650825 67661505 68236125 68293125 69187725 70357095 73085625 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3651574375 3682021305 3685097025 3824814375 3856705785 3889459125 3910490217 3943700325 4156437625 4165880625 4285631355 4451833125 4488952635 4527075375 4586377415 4741851375 4803966855 4844764875 4848811875 4885160661 4995353745 5074612875 5189079375 5232346065 5276782125 5561430625 5591502405 5638988625 5686006671 5906516625 6006345075 6034707125 6085024683 6090107715 6136702175 6141828375 6427842975 6482431875 6517483695 6572833875 6627638349 6884665875 7001026425 7082569713 7142718925 7481587725 7545125625 7579592149 7714136439 7903085625 8006611425 8013299625 8074608125 8141934435 8148735675 8255479347 8325589575 8457688125 8647140339 8720576775 8794636875 8991636741 9211876875 9319170675 9398314375 9476677785 9844194375 10010575125 10064704329 10141707805 10150179525 10236380625 10713071625 10722020625 10862472825 10954723125 11046063915 11474443125 11570117355 11668377375 11804282855 11831100975 12469312875 12856894065 13344352375 13355499375 13466857905 13569890725 13581226125 13759132245 13875982625 14411900565 14534294625 14655481983 14986061235 15223838625 15531951125 15567238125 15794462975 15830346375 16684291875 16774507215 16916965875 17058020013 17428234177 17719549875 17855119375 18019035225 18104121375 18255074049 18410106525 18425485125 19283528925 19447295625 19552451085 19718501625 19882915047 20782188125 21247709139 21428156775 22444763175 22635376875 22738776447 22931887075 23142409317 23709256875 24019834275 24223824375 24425803305 24766438041 24976768725 25373064375 26161730325 26383910625 27957512025 28194943125 28430033355 29532583125 30031725375 30173535625 30425123415 30450538575 30683510875 30709141875 32139214875 32587418475 32864169375 33138191745 34423329375 35005132125 35412848565 35713594625 37407938625 37897960745 38538489659 38570682195 40033057125 40066498125 40709672175 40743678375 41277396735 41627947875 43235701695 43602883875 43966445949 44856274849 44958183705 46595853375 47383388925 50052875625 50323521645 50708539025 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204648988023 206386983675 208139739375 216178508475 218014419375 219832229745 224281374245 224790918525 232979266875 236916944625 251617608225 253542695125 253754488125 255870300195 261423512655 271561820625 273826110735 276151597875 289252933875 295107071375 295777524375 318715637085 321422351625 336671447625 339247268125 341081646705 343978306125 346846406931 360297514125 366387049575 371496570615 374651530875 394861574375 403706473641 419362680375 426450500325 432036752493 435705854425 450475880625 456376851225 460252663125 470562322779 482088223125 488811277125 497072876175 531192728475 535703919375 561119079375 568469411175 573297176875 578077344885 578560232925 600495856875 610645082625 613946964069 619160951025 624419218125 654043258125 672844122735 698937800625 710750833875 720061254155 760628085375 761263464375 784270537965 814685461875 821478332205 828454793625 885321214125 947449018625 956146911255 963462241475 964267054875 1017741804375 1023244940115 1031934918375 1040539220793 1080892542375 1099161148725 1121406871225 1123954592625 1184584723125 1211119420923 1258088041125 1267713475625 1279351500975 1296110257479 1307117563275 1369130553675 1380757989375 1411686968337 1446264669375 1475535356875 1593578185425 1607111758125 1683357238125 1705408233525 1719891530625 1734232034655 1801487570625 1831935247875 1857482853075 1873257654375 2018532368205 2096813401875 2132252501625 2160183762465 2178529272125 2281884256125 2352811613895 2444056385625 2485364380875 2655963642375 2736232765789 2842347055875 2890386724425 2892801164625 3053225413125 3069734820345 3095804755125 3121617662379 3364220613675 3553754169375 3600306270775 3633358262769 3803140426875 3888330772437 3921352689825 4107391661025 4142273968125 4426606070625 4737245093125 4780734556275 4817311207375 4821335274375 5116224700575 5159674591875 5202696103965 5404462711875 5495805743625 5607034356125 5619772963125 6055597104615 6290440205625 6396757504875 6480551287395 6535587816375 6845652768375 7058434841685 7967890927125 8208698297367 8527041167625 8671160173275 9159676239375 9287414265375 10092661841025 10661262508125 10800918812325 10892646360625 11409421280625 11664992317311 11764058069475 12426821904375 13279818211875 13681163828945 14211735279375 14451933622125 14464005823125 15348674101725 15479023775625 15608088311895 16821103068375 18001531353875 18166791313845 19441653862185 19606763449125 20536958305125 23903672781375 24086556036875 24626094892101 25581123502875 26013480519825 27479028718125 28035171780625 30277985523075 31983787524375 32402756436975 32677939081875 34228263841875 35292174208425 39839454635625 41043491486835 42635205838125 43355800866375 46437071326875 50463309205125 54004594061625 58324961586555 58820290347375 68405819144725 72259668110625 73878284676303 76743370508625 78040441559475 84105515341875 90007656769375 90833956569225 97208269310925 98033817245625 102684791525625 119518363906875 123130474460505 127905617514375 130067402599125 151389927615375 162013782184875 176460871042125 205217457434175 216779004331875 221634854028909 252316546025625 270022970308125 291624807932775 294101451736875 342029095723625 369391423381515 383716852543125 390202207797375 454169782846125 486041346554625 615652372302525 650337012995625 756949638076875 810068910924375 882304355210625 1026087287170875 1108174270144545 1458124039663875 1710145478618125 1846957116907575 1951011038986875 2270848914230625 2430206732773125 3078261861512625 5130436435854375 5540871350722725 7290620198319375 9234785584537875 15391309307563125 27704356753613625 46173927922689375 138521783768068125
- Sum of all divisors σ(n): 283141226339036802
- Sum of proper divisors (its aliquot sum) s(n): 144619442570968677
- 138521783768068125 is an abundant number, because the sum of its proper divisors (144619442570968677) is greater than itself. Its abundance is 6097658802900552
Bases of 138521783768068125
- Binary: 1111011000010000011010100000100110010011000110000000111012
- Hexadecimal: 0x1EC20D41326301D
- Base-36: 11VXVGYH1CT9
Squares and roots of 138521783768068125
- 138521783768068125 squared (1385217837680681252) is 19188284578287421870862394641015625
- 138521783768068125 cubed (1385217837680681253) is 2657995407233686522036690480760400890794294189453125
-
The
square root of 138521783768068125 is 372185147.1620920621 -
The
cube root of 138521783768068125 is 517415.4093486595
Scales and comparisons
How big is 138521783768068125?- 138,521,783,768,068,125 seconds is equal to 4,404,564,247 years, 42 weeks, 2 days, 11 hours, 48 minutes, 45 seconds.
-
To count from 1 to 138,521,783,768,068,125 would take you about thirteen billion, two hundred thirteen million, six hundred ninety-two thousand, seven hundred forty-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 138521783768068125 cubic inches would be around 43118 feet tall.
Recreational maths with 138521783768068125
- 138521783768068125 backwards is 521860867387125831
- 138521783768068125 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138521783768068125's digits is 81
- More coming soon!
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"Number 138521783768068125 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 138521783768068125 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138521783768068125/
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The information we have on file for 138521783768068125 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 138521783768068125, math, Factors of 138521783768068125, curriculum, school, college, exams, university, Prime factorization of 138521783768068125, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, five hundred twenty-one trillion, seven hundred eighty-three billion, seven hundred sixty-eight million, sixty-eight thousand, one hundred twenty-five.