138117070949181975
138,117,070,949,181,975 is an odd composite number composed of six prime numbers multiplied together.
138117070949181975 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138117070949181975:
37 × 52 × 72 × 103 × 4192 × 2851
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 103 × 419 × 419 × 2851)See below for interesting mathematical facts about the number 138117070949181975 from the Numbermatics database.
Names of 138117070949181975
- Cardinal: 138117070949181975 can be written as One hundred thirty-eight quadrillion, one hundred seventeen trillion, seventy billion, nine hundred forty-nine million, one hundred eighty-one thousand, nine hundred seventy-five.
Scientific notation
- Scientific notation: 1.38117070949181975 × 1017
Factors of 138117070949181975
Divisors of 138117070949181975
- Number of divisors d(n): 864
-
Complete list of divisors:
1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 103 105 135 147 175 189 225 243 245 309 315 405 419 441 515 525 567 675 721 729 735 927 945 1215 1225 1257 1323 1545 1575 1701 2025 2095 2163 2187 2205 2575 2781 2835 2851 2933 3605 3645 3675 3771 3969 4635 4725 5047 5103 6075 6285 6489 6615 7725 8343 8505 8553 8799 10475 10815 10935 11025 11313 11907 13905 14175 14255 14665 15141 15309 18025 18225 18855 19467 19845 19957 20531 23175 25029 25235 25515 25659 26397 31425 32445 33075 33939 35721 41715 42525 42765 43157 43995 45423 54075 54675 56565 58401 59535 59871 61593 69525 71275 73325 75087 75705 76545 76977 79191 94275 97335 99225 99785 101817 102655 107163 125145 126175 127575 128295 129471 131985 136269 139699 162225 169695 175203 175561 178605 179613 184779 208575 213825 215785 219975 225261 227115 230931 237573 282825 292005 293653 297675 299355 302099 305451 307965 375435 378525 382725 384885 388413 395955 408807 419097 486675 498925 509085 513275 525609 526683 535815 538839 554337 625725 641475 647355 659925 681345 692793 698495 712719 848475 876015 877805 880959 893025 898065 906297 916353 923895 1078925 1126305 1135575 1154655 1165239 1187865 1194569 1226421 1228927 1257291 1460025 1468265 1496775 1510495 1527255 1539825 1576827 1580049 1616517 1663011 1877175 1924425 1942065 1979775 2044035 2055571 2078379 2095485 2114693 2138157 2545425 2628045 2633415 2642877 2679075 2694195 2718891 2771685 3236775 3406725 3463965 3492475 3495717 3563595 3583707 3679263 3686781 3771873 4380075 4389025 4404795 4490325 4531485 4581765 4619475 4740147 4849551 4989033 5631525 5773275 5826195 5939325 5972845 6132105 6144635 6166713 6235137 6286455 6344079 6414471 7341325 7552475 7636275 7884135 7900245 7928631 8082585 8156673 8315055 8361983 8602489 9710325 10220175 10277855 10391895 10477425 10487151 10573465 10690785 10751121 11037789 11060343 11315619 13140225 13167075 13214385 13470975 13594455 13858425 14220441 14388997 14548653 14967099 17319825 17478585 17817975 17918535 18082783 18396315 18433905 18500139 18859365 19032237 22023975 22657425 22908825 23700735 23785893 24247755 24470019 24945165 25085949 25807467 29130975 29864225 30660525 30723175 30833565 31175685 31432275 31461453 31720395 32072355 32253363 33181029 33946857 39420675 39501225 39643155 40412925 40783365 41575275 41809915 42661323 43012445 43166991 43645959 44901297 51389275 51959475 52435755 52867325 53453925 53755605 54248349 55188945 55301715 55500417 56578095 57096711 58533881 66071925 67972275 71102205 71357679 71944985 72743265 73410057 74835495 75257847 77422401 87392925 89592675 90413915 91981575 92169525 92500695 94296825 94384359 95161185 96760089 99543087 101840571 118503675 118929465 121238775 122350095 123040607 124725825 125429745 126579481 127983969 129037335 129500973 154167825 155878425 157307265 158601975 160361775 161266815 162745047 165905145 166501251 169734285 171290133 175601643 198215775 203916825 209049575 213306615 214073037 215062225 215834955 218229795 220230171 224506485 225773541 232267203 262178775 268778025 271241745 275944725 276508575 277502085 282890475 285483555 290280267 292669405 298629261 305521713 355511025 356788395 359724925 363716325 367050285 369121821 374177475 376289235 379738443 383951907 387112005 388502919 452069575 462503475 471921795 475805925 483800445 488235141 497715435 499503753 500524411 509202855 513870399 526804929 594647325 611750475 615203035 627148725 632897405 639919845 642219111 645186675 647504865 660690513 677320623 696801609 786536325 806334075 813725235 829525725 832506255 848671425 856450665 861284249 870840801 878008215 886056367 895887783 1066533075 1070365185 1079174775 1091148975 1101150855 1107365463 1122532425 1128867705 1139215329 1161336015 1165508757 1356208725 1387510425 1427417775 1451401335 1463347025 1464705423 1493146305 1498511259 1501573233 1527608565 1541611197 1580414787 1783941975 1835251425 1845609105 1881446175 1898692215 1919759535 1935560025 1942514595 2031961869 2090404827 2359608975 2419002225 2441175705 2488577175 2497518765 2502622055 2546014275 2569351995 2583852747 2612522403 2634024645 2658169101 2687663349 3076015175 3164487025 3199599225 3211095555 3237524325 3303452565 3322096389 3386603115 3417645987 3484008045 3496526271 3503670877 4068626175 4162531275 4282253325 4306421245 4354204005 4390041075 4394116269 4430281835 4479438915 4495533777 4504719699 4624833591 4741244361 5351825925 5505754275 5536827315 5644338525 5696076645 5806680075 5827543785 6028989743 6095885607 6271214481 7257006675 7323527115 7465731525 7492556295 7507866165 7638042825 7708055985 7751558241 7902073935 7974507303 9228045525 9493461075 9598797675 9712572975 9966289167 10159809345 10252937961 10452024135 10489578813 10511012631 12205878525 12487593825 12513110275 12846759975 12919263735 13062612015 13170123225 13182348807 13290845505 13438316745 13514159097 14223733083 16055477775 16517262825 16610481945 16933015575 17088229935 17420040225 17482631355 17518354385 18086969229 18287656821 18813643443 21532106225 21771020025 21970581345 22151409175 22397194575 22477668885 22523598495 23124167955 23254674723 23706221805 23923521909 24525696139 27684136575 28480383225 29137718925 29898867501 30144948715 30479428035 30758813883 31356072405 31468736439 31533037893 36617635575 37462781475 37539330825 38540279925 38757791205 39510369675 39547046421 39872536515 40542477291 42671199249 49831445835 50799046725 51264689805 51554014333 52260120675 52447894065 52555063155 54260907687 64596318675 65313060075 65911744035 66454227525 67191583725 67570795485 69764024169 71118665415 71770565727 73577088417 83052409725 85441149675 87413156775 87591771925 89696602503 90434846145 91438284105 92276441649 94068217215 94599113679 109852906725 112388344425 112617992475 115620839775 116273373615 118531109025 119617609545 121627431873 122628480695 128013597747 149494337505 150724743575 152397140175 153794069415 154662042999 156780362025 157343682195 157665189465 162782723061 193788956025 197735232105 199362682575 202712386455 209292072507 213355996245 215311697181 220731265251 249157229175 256323449025 257770071665 262239470325 262775315775 269089807509 271304538435 276829324947 283797341037 329558720175 337853977425 348820120845 355593327075 358852828635 360878100331 364882295619 367885442085 448483012515 452174230725 457191420525 461382208245 463986128997 470341086075 472995568395 488348169183 581366868075 598088047725 608137159365 613142403475 627876217521 640067988735 645935091543 662193795753 747471687525 768970347075 773310214995 786718410975 788325947325 813913615305 851392023111 988676160525 1013561932275 1046460362535 1066779981225 1076558485905 1082634300993 1094646886857 1103656326255 1288850358325 1345449037545 1356522692175 1384146624735 1391958386991 1418986705185 1465044507549 1744100604225 1794264143175 1804390501655 1824411478095 1839427210425 1883628652563 1937805274629 1986581387259 2242415062575 2306911041225 2319930644985 2364977841975 2441740845915 2526146702317 2554176069333 3040685796825 3139381087605 3200339943675 3229675457715 3247902902979 3310968978765 3866551074975 4069568076525 4175875160973 4256960115555 4395133522647 5232301812675 5382792429525 5413171504965 5473234434285 5518281631275 5959744161777 6727245187725 6920733123675 6959791934955 7094933525925 7325222537745 7578440106951 7662528207999 9021952508275 9122057390475 9418143262815 9689026373145 9743708708937 9932906936295 11599653224925 12208704229575 12527625482919 12630733511585 12770880346665 13185400567941 15696905438025 16148377288575 16239514514895 16554844893825 17879232485331 20879375804865 21284800577775 21975667613235 22735320320853 27065857524825 27366172171425 29231126126811 29798720808885 34798959674775 36626112688725 37582876448757 37892200534755 38312641039995 47090716314075 48445131865725 48718543544685 49664534681475 53637697455993 62638127414595 63153667557925 63854401733325 65927002839705 68205960962559 81197572574475 87693378380433 89396162426655 104396879024325 109878338066175 112748629346271 113676601604265 146155630634055 148993604044425 187914382243785 189461002673775 191563205199975 204617882887677 243592717723425 263080135141299 268188487279965 313190637072975 329635014198525 341029804812795 438466891902165 446980812133275 563743146731355 568383008021325 613853648663031 730778153170275 789240405423897 939571911218925 1023089414438385 1315400675706495 1340942436399825 1705149024063975 1841560945989093 2192334459510825 2818715733656775 3069268243315155 3946202027119485 5115447072191925 5524682837967279 6577003378532475 9207804729945465 15346341216575775 19731010135597425 27623414189836395 46039023649727325 138117070949181975
- Sum of all divisors σ(n): 302523443339220480
- Sum of proper divisors (its aliquot sum) s(n): 164406372390038505
- 138117070949181975 is an abundant number, because the sum of its proper divisors (164406372390038505) is greater than itself. Its abundance is 26289301440856530
Bases of 138117070949181975
- Binary: 1111010101011000010111110100001110101011111101010000101112
- Hexadecimal: 0x1EAB0BE8757EA17
- Base-36: 11RYEYGE1QFR
Squares and roots of 138117070949181975
- 138117070949181975 squared (1381170709491819752) is 19076325287581367468572921664900625
- 138117070949181975 cubed (1381170709491819753) is 2634766173194549973561534368716392383579413416234375
-
The
square root of 138117070949181975 is 371641051.2163342471 -
The
cube root of 138117070949181975 is 516911.0147549267
Scales and comparisons
How big is 138117070949181975?- 138,117,070,949,181,975 seconds is equal to 4,391,695,632 years, 1 week, 4 days, 23 hours, 26 minutes, 15 seconds.
-
To count from 1 to 138,117,070,949,181,975 would take you about thirteen billion, one hundred seventy-five million, eighty-six thousand, eight hundred ninety-six 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 138117070949181975 cubic inches would be around 43075.9 feet tall.
Recreational maths with 138117070949181975
- 138117070949181975 backwards is 579181949070711831
- 138117070949181975 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138117070949181975's digits is 81
- More coming soon!
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Numbermatics. (2024). Number 138117070949181975 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/138117070949181975/
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The information we have on file for 138117070949181975 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 138117070949181975, math, Factors of 138117070949181975, curriculum, school, college, exams, university, Prime factorization of 138117070949181975, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred seventeen trillion, seventy billion, nine hundred forty-nine million, one hundred eighty-one thousand, nine hundred seventy-five.