138800802850241401500
138,800,802,850,241,401,500 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138800802850241401500 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
138800802850241401500 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138800802850241401500:
22 × 3 × 53 × 172 × 412 × 6072 × 7192
(2 × 2 × 3 × 5 × 5 × 5 × 17 × 17 × 41 × 41 × 607 × 607 × 719 × 719)See below for interesting mathematical facts about the number 138800802850241401500 from the Numbermatics database.
Names of 138800802850241401500
- Cardinal: 138800802850241401500 can be written as One hundred thirty-eight quintillion, eight hundred quadrillion, eight hundred two trillion, eight hundred fifty billion, two hundred forty-one million, four hundred one thousand, five hundred.
Scientific notation
- Scientific notation: 1.388008028502414015 × 1020
Factors of 138800802850241401500
Divisors of 138800802850241401500
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 10 12 15 17 20 25 30 34 41 50 51 60 68 75 82 85 100 102 123 125 150 164 170 204 205 246 250 255 289 300 340 375 410 425 492 500 510 578 607 615 697 719 750 820 850 867 1020 1025 1156 1214 1230 1275 1394 1438 1445 1500 1681 1700 1734 1821 2050 2091 2125 2157 2428 2460 2550 2788 2876 2890 3035 3075 3362 3468 3485 3595 3642 4100 4182 4250 4314 4335 5043 5100 5125 5780 6070 6150 6375 6724 6970 7190 7225 7284 8364 8405 8500 8628 8670 9105 10086 10250 10319 10455 10785 11849 12140 12223 12300 12750 13940 14380 14450 15175 15375 16810 17340 17425 17975 18210 20172 20500 20638 20910 21570 21675 23698 24446 24887 25215 25500 28577 28900 29479 30350 30750 30957 33620 34850 35547 35950 36125 36420 36669 41276 41820 42025 43140 43350 45525 47396 48892 49774 50430 51595 52275 53925 57154 58958 59245 60700 61115 61500 61914 69700 71094 71900 72250 73338 74661 75875 84050 85731 86700 87125 88437 89875 91050 99548 100860 103190 104550 107850 108375 114308 117916 118490 122230 123828 124435 126075 142188 142885 144500 146676 147395 149322 151750 154785 168100 171462 174250 175423 176874 177735 179750 182100 183345 206380 207791 209100 210125 215700 216750 227625 236980 244460 248870 252150 257975 261375 269625 285770 294790 296225 298644 303500 305575 309570 342924 348500 350846 353748 355470 359500 366690 368449 373305 415582 420250 423079 428655 433500 436433 442185 455250 485809 497740 501143 504300 515950 516961 522750 526269 539250 571540 589580 592450 611150 619140 622175 623373 630375 701692 710940 714425 733380 736898 736975 746610 773925 831164 840500 846158 857310 872866 877115 884370 888675 910500 916725 971618 1002286 1020367 1031900 1033922 1038955 1045500 1052538 1078500 1105347 1184900 1208639 1222300 1244350 1246746 1260750 1269237 1289875 1309299 1428850 1457427 1473796 1473950 1481125 1493220 1503429 1527875 1547850 1550883 1692316 1714620 1745732 1754230 1768740 1777350 1833450 1842245 1866525 1943236 2004572 2040734 2067844 2077910 2105076 2115395 2143275 2182165 2210694 2210925 2417278 2429045 2488700 2493492 2505715 2521500 2538474 2579750 2584805 2618598 2631345 2857700 2914854 2947900 2962250 3006858 3055750 3061101 3095700 3101766 3110875 3116865 3508460 3554700 3572125 3625917 3666900 3684490 3684875 3733050 3869625 4081468 4155820 4230790 4286550 4364330 4385575 4421388 4421850 4443375 4583625 4834556 4858090 5011430 5076948 5101835 5159500 5169610 5194775 5237196 5262690 5526735 5829708 5924500 6013716 6043195 6111500 6122202 6203532 6221750 6233730 6263633 6346185 6546495 7144250 7192343 7251834 7287135 7368980 7369750 7419361 7466100 7517145 7739250 7754415 8461580 8519431 8573100 8728660 8771150 8788337 8843700 8886750 9167250 9211225 9332625 9716180 10022860 10203670 10339220 10389550 10525380 10576975 10716375 10910825 11053470 11054625 12086390 12145225 12244404 12443500 12467460 12527266 12528575 12692370 12924025 13092990 13156725 14288500 14384686 14503668 14574270 14739500 14838722 15034290 15106409 15305505 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75704711254870 78094243030490 78474395812975 79123491703050 79508654736375 80951349482825 82018253594625 89497920120500 89673290596790 90845653505844 92322818603500 92954020740575 93713091636588 94169274975570 94179114918375 95236881744500 97141619379390 106011539648500 107607948716148 109357671459500 110093835296642 111330457727750 111544824888690 113557066882305 114840579238500 117141364545735 125572153224500 128698009133279 131872486171750 132760213151833 133596549273300 134246880180750 134509935895185 136030274254500 138484227905250 142855322616750 151409422509740 152444594014543 156188486060980 156948791625950 158246983406100 159017309472750 161902698965650 164036507189250 165140752944963 166995686591625 179346581193580 185908041481150 188338549951140 188358229836750 189261778137175 194283238758780 195235607576225 197808729257625 220187670593284 222660915455500 223089649777380 224183226491975 227114133764610 234282729091470 235423187438925 242854048448475 257396018266558 263744972343500 265520426303666 268493760361500 269019871790370 275234588241605 276968455810500 278862062221725 285710645233500 304889188029086 313897583251900 318034618945500 320186396425009 323805397931300 328073014378500 330281505889926 333991373183250 371816082962300 376716459673500 378523556274350 386094027399837 390471215152450 392371979064875 395617458515250 398280639455499 404756747414125 448366452983950 454228267529220 457333782043629 464770103702875 468565458182940 470846374877850 485708096896950 514792036533116 531040852607332 538039743580740 550469176483210 557724124443450 567785334411525 585706822728675 609778376058172 640372792850018 643490045666395 660563011779852 663801065759165 667982746366500 672549679475925 757047112548700 762222970072715 772188054799674 780942430304900 784743958129750 791234917030500 796561278910998 809513494828250 825703764724815 896732905967900 914667564087258 929540207405750 941692749755700 946308890685875 960559189275027 971416193793900 976178037881125 1100938352966420 1115448248886900 1120916132459875 1135570668823050 1171413645457350 1177115937194625 1214270242242375 1280745585700036 1286980091332790 1327602131518330 1345099358951850 1376172941208025 1394310311108625 1524445940145430 1544376109599348 1569487916259500 1593122557821996 1600931982125045 1619026989656500 1651407529449630 1829335128174516 1859080414811500 1892617781371750 1921118378550054 1930470136999185 1952356075762250 1991403197277495 2241832264919750 2256923623581161 2271141337646100 2286668910218145 2342827290914700 2354231874389250 2428540484484750 2573960182665580 2655204263036660 2690198717903700 2752345882416050 2788620622217250 2838926672057625 2928534113643375 3048891880290860 3201863964250090 3217450228331975 3302815058899260 3319005328795825 3362748397379625 3785235562743500 3811114850363575 3842236757100108 3860940273998370 3904712151524500 3982806394554990 4128518823624075 4483664529839500 4513847247162322 4573337820436290 4708463748778500 4802795946375135 4857080968969500 5443168739225153 5504691764832100 5577241244434500 5677853344115250 5857068227286750 6403727928500180 6434900456663950 6638010657591650 6725496794759250 6770770870743483 6880864706040125 7622229700727150 7721880547996740 7965612789109980 8004659910625225 8257037647248150 9027694494324644 9146675640872580 9605591892750270 9652350684995925 9957015986387475 10886337478450306 11284618117905805 11355706688230500 11433344551090725 11714136454573500 12869800913327900 13276021315183300 13450993589518500 13541541741486966 13761729412080250 15244459401454300 16009319821250450 16087251141659875 16329506217675459 16514075294496300 16595026643979125 19055574251817875 19211183785500540 19304701369991850 19914031972774950 20642594118120375 21772674956900612 22569236235811610 22866689102181450 24013979731875675 27083083482973932 27215843696125765 27523458824160500 32018639642500900 32174502283319750 32659012435350918 33190053287958250 33853854353717415 38111148503635750 38609402739983700 39828063945549900 40023299553126125 41285188236240750 45138472471623220 45733378204362900 48027959463751350 48261753424979625 49785079931937375 54431687392251530 56423090589529025 57166722755453625 64349004566639500 65318024870701836 66380106575916500 67707708707434830 76222297007271500 80046599106252250 81647531088377295 82570376472481500 92533868566827601 96055918927502700 96523506849959250 99570159863874750 108863374784503060 112846181179058050 114333445510907250 120069898659378375 135415417414869660 136079218480628825 160093198212504500 163295062176754590 169269271768587075 185067737133655202 193047013699918500 199140319727749500 225692362358116100 228666891021814500 240139797318756750 272158436961257650 277601605700482803 282115452947645125 326590124353509180 338538543537174150 370135474267310404 408237655441886475 462669342834138005 480279594637513500 544316873922515300 555203211400965606 564230905895290250 677077087074348300 680396092403144125 816475310883772950 846346358842935375 925338685668276010 1110406422801931212 1128461811790580500 1360792184806288250 1388008028502414015 1632950621767545900 1692692717685870750 1850677371336552020 2041188277209432375 2313346714170690025 2721584369612576500 2776016057004828030 3385385435371741500 4082376554418864750 4626693428341380050 5552032114009656060 6940040142512070075 8164753108837729500 9253386856682760100 11566733570853450125 13880080285024140150 23133467141706900250 27760160570048280300 34700200712560350375 46266934283413800500 69400401425120700750 138800802850241401500
- Sum of all divisors σ(n): 441430112402335654416
- Sum of proper divisors (its aliquot sum) s(n): 302629309552094252916
- 138800802850241401500 is an abundant number, because the sum of its proper divisors (302629309552094252916) is greater than itself. Its abundance is 163828506701852851416
Bases of 138800802850241401500
- Binary: 11110000110001111111000001011001011010010111010101001010010100111002
- Hexadecimal: 0x7863F82CB4BAA529C
- Base-36: TAJKA7EEGEZDO
Squares and roots of 138800802850241401500
- 138800802850241401500 squared (1388008028502414015002) is 19265662871871581566518446824684202250000
- 138800802850241401500 cubed (1388008028502414015003) is 2674089474057862963447785206198730372852925415949453375000000
-
The
square root of 138800802850241401500 is 11781375252.9253307669 -
The
cube root of 138800802850241401500 is 5177625.7965133779
Scales and comparisons
How big is 138800802850241401500?- 138,800,802,850,241,401,500 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,800,802,850,241,401,500 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 138800802850241401500 cubic inches would be around 431468.8 feet tall.
Recreational maths with 138800802850241401500
- 138800802850241401500 backwards is 005104142058208008831
- 138800802850241401500 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138800802850241401500's digits is 60
- More coming soon!
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"Number 138800802850241401500 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 138800802850241401500 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138800802850241401500/
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Numbermatics. 2024. "Number 138800802850241401500 - Facts about the integer". https://numbermatics.com/n/138800802850241401500/
The information we have on file for 138800802850241401500 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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