138375763704405500
138,375,763,704,405,500 is an even composite number composed of six prime numbers multiplied together.
What does the number 138375763704405500 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
138375763704405500 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138375763704405500:
22 × 53 × 7 × 135 × 172 × 6072
(2 × 2 × 5 × 5 × 5 × 7 × 13 × 13 × 13 × 13 × 13 × 17 × 17 × 607 × 607)See below for interesting mathematical facts about the number 138375763704405500 from the Numbermatics database.
Names of 138375763704405500
- Cardinal: 138375763704405500 can be written as One hundred thirty-eight quadrillion, three hundred seventy-five trillion, seven hundred sixty-three billion, seven hundred four million, four hundred five thousand, five hundred.
Scientific notation
- Scientific notation: 1.383757637044055 × 1017
Factors of 138375763704405500
Divisors of 138375763704405500
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 7 10 13 14 17 20 25 26 28 34 35 50 52 65 68 70 85 91 100 119 125 130 140 169 170 175 182 221 238 250 260 289 325 338 340 350 364 425 442 455 476 500 578 595 607 650 676 700 845 850 875 884 910 1105 1156 1183 1190 1214 1300 1445 1547 1625 1690 1700 1750 1820 2023 2125 2197 2210 2275 2366 2380 2428 2873 2890 2975 3035 3094 3250 3380 3500 3757 4046 4225 4249 4250 4394 4420 4550 4732 5525 5746 5780 5915 5950 6070 6188 6500 7225 7514 7735 7891 8092 8450 8498 8500 8788 9100 10115 10319 10985 11050 11375 11492 11830 11900 12140 14365 14450 14875 15028 15175 15379 15470 15782 16900 16996 18785 20111 20230 20638 21125 21245 21970 22100 22750 23660 26299 27625 28561 28730 28900 29575 29750 30350 30758 30940 31564 36125 37349 37570 38675 39455 40222 40460 41276 42250 42490 43940 45500 48841 50575 51595 52598 54925 55237 55250 57122 57460 59150 59500 60700 61516 71825 72233 72250 74698 75140 75875 76895 77350 78910 80444 84500 84980 93925 97682 100555 101150 102583 103190 105196 106225 109850 110474 110500 114244 118300 131495 134147 142805 143650 144466 144500 147875 149396 151750 153790 154700 157820 175423 186745 187850 193375 195364 197275 199927 201110 202300 205166 206380 212450 219700 220948 244205 252875 257975 261443 262990 268294 274625 276185 285610 287300 288932 295750 303500 307580 341887 350846 359125 361165 368449 371293 373490 375700 384475 386750 394550 399854 402220 410332 424900 469625 485537 488410 502775 505750 512915 515950 522886 525980 531125 536588 549250 552370 571220 591500 634933 657475 670735 683774 701692 714025 718081 718250 722330 736898 742586 746980 768950 773500 789100 799708 877115 933725 939029 939250 971074 976820 986375 999635 1005550 1011500 1025830 1031900 1045772 1062250 1098500 1104740 1221025 1227961 1269866 1289875 1307215 1314950 1333579 1341470 1367548 1380925 1428050 1436162 1436500 1444660 1473796 1485172 1537900 1709435 1743911 1754230 1805825 1842245 1856465 1867450 1878058 1878500 1922375 1942148 1972750 1999270 2011100 2051660 2124500 2280499 2427685 2442050 2455922 2513875 2539732 2564575 2579143 2579750 2599051 2614430 2629900 2667158 2682940 2761850 2856100 2872324 3174665 3287375 3353675 3398759 3418870 3487822 3508460 3570125 3590405 3611650 3684490 3712930 3734900 3756116 3844750 3945500 3998540 4385575 4444531 4560998 4668625 4695145 4789837 4855370 4884100 4911844 4998175 5027750 5129150 5158286 5159500 5198102 5228860 5334316 5523700 6105125 6139805 6263633 6311981 6349330 6536075 6574750 6667895 6707350 6797518 6837740 6904625 6975644 7140250 7180810 7223300 7368980 7425860 7689500 8254129 8547175 8719555 8771150 8889062 9029125 9121996 9211225 9282325 9335053 9337250 9390290 9579674 9710740 9996350 10055500 10258300 10316572 10396204 11402495 12138425 12207377 12210250 12279610 12527266 12623962 12698660 12822875 12895715 12995255 13072150 13149500 13335790 13414700 13595036 13809250 14280500 14361620 15873325 15963493 16508258 16768375 16993795 17094350 17336527 17439110 17542300 17778124 17952025 18058250 18422450 18564650 18670106 18674500 18780580 19159348 19992700 21927875 22222655 22670843 22804990 23475725 23949185 24276850 24414754 24420500 24559220 24990875 25054532 25247924 25645750 25791430 25990510 26144300 26671580 27618500 29646487 30699025 31318165 31559905 31746650 31926986 32680375 33016516 33339475 33528859 33536750 33987590 34188700 34673054 34878220 35904050 36116500 36844900 37129300 37340212 41270645 42735875 43597775 43845431 43855750 44183867 44445310 45341686 45609980 46056125 46411625 46675265 46951450 47898370 48553700 48829508 49981750 51291500 51582860 51981020 57012475 57778903 59292974 60692125 61036885 61398050 62267881 62636330 63119810 63493300 63853972 64478575 64976275 65360750 66678950 67057718 67073500 67975180 69346108 71808100 79366625 79817465 81427229 82541290 84968975 85471750 86682635 87195550 87690862 87711500 88367734 88890620 89760125 90683372 92112250 92823250 93350530 93902900 95796740 99963500 106481761 107303677 111113275 113354215 114024950 115557806 117378625 118585948 119745925 121355689 121384250 122073770 122796100 124535762 125272660 126239620 128957150 129952550 130721500 133357900 134115436 148232435 153495125 156590825 157799525 158695901 158733250 159634930 162854458 165082580 166697375 167644295 169937950 170943500 173365270 174391100 175381724 176735468 179520250 184224500 185646500 186701060 206353225 207525409 212963522 214607354 217988875 219227155 220919335 222226550 225374851 226708430 228049900 231115612 233376325 234757250 239491850 242711378 242768500 244147540 249071524 257914300 259905100 285062375 288894515 294720959 296464870 305184425 306990250 311339405 313181650 315599050 317391802 317466500 319269860 322392875 324881375 325708916 333394750 335288590 339875900 346730540 359040500 385404331 399087325 407136145 412706450 415050818 424844875 425927044 429214708 433413175 435875167 435977750 438454310 441838670 444453100 450749702 453416860 466752650 469514500 478983700 485422756 532408805 536518385 555566375 566771075 569990603 570124750 577789030 589441918 592929740 598729625 606778445 610368850 613980500 622678810 626363300 631198100 634783604 644785750 649762750 666789500 670577180 741162175 745372327 751125739 770808662 782954125 788997625 793479505 798174650 809482453 814272290 825412900 830101636 838221475 849689750 866826350 871750334 871955500 876908620 883677340 901499404 933505300 1031766125 1037627045 1058553977 1064817610 1073036770 1096135775 1104596675 1111132750 1126874255 1133542150 1139981206 1140249500 1155578060 1166881625 1178883836 1197459250 1213556890 1220737700 1245357620 1289571500 1299525500 1384262893 1444472575 1473604795 1482324350 1490744654 1502251478 1525922125 1541617324 1556697025 1565908250 1577623957 1577995250 1586959010 1596349300 1618964906 1628544580 1676442950 1699379500 1733652700 1743500668 1927021655 1995436625 2035680725 2063046713 2063532250 2075254090 2117107954 2129635220 2146073540 2167065875 2179375835 2192271550 2209193350 2222265500 2253748510 2267084300 2279962412 2333763250 2394918500 2427113780 2662044025 2682591925 2697830317 2768525786 2833855375 2849953015 2888945150 2947209590 2964648700 2981489308 3004502956 3033892225 3051844250 3113394050 3131816500 3155247914 3155990500 3173918020 3237929812 3352885900 3705810875 3726861635 3755628695 3831372467 3854043310 3967397525 3990873250 4047412265 4071361450 4126093426 4127064500 4150508180 4191107375 4234215908 4334131750 4358751670 4384543100 4418386700 4507497020 4667526500 5010256303 5188135225 5292769885 5324088050 5365183850 5395660634 5480678875 5522983375 5537051572 5634371275 5666377171 5667710750 5699906030 5777890300 5894419180 6067784450 6103688500 6226788100 6310495828 6921314465 7222362875 7368023975 7409877839 7411621750 7453723270 7511257390 7662744934 7708086620 7783485125 7888119785 7934795050 7981746500 8094824530 8142722900 8252186852 8382214750 8668263500 8717503340 9635108275 9689840251 10020512606 10178403625 10315233565 10376270450 10523271889 10585539770 10648176100 10730367700 10791321268 10896879175 10961357750 11045966750 11268742550 11332754342 11335421500 11399812060 12135568900 13310220125 13412959625 13489151585 13761201701 13842628930 14249765075 14444725750 14736047950 14819755678 14823243500 14907446540 15022514780 15169461125 15325489868 15566970250 15776239570 15869590100 16189649060 16764429500 17995417609 18634308175 18778143475 19156862335 19270216550 19379680502 19836987625 20041025212 20237061325 20356807250 20630467130 20752540900 21046543778 21171079540 21793758350 21922715500 22091933500 22537485100 22665508684 25051281515 25940676125 26463849425 26620440250 26819607269 26825919250 26978303170 27522403402 27685257860 28171856375 28331885855 28499530150 28889451500 29472095900 29639511356 30338922250 31133940500 31552479140 34606572325 35071794121 35990835218 36840119875 37049389195 37268616350 37556286950 38313724670 38540433100 38759361004 39440598925 39673975250 40474122650 40713614500 41260934260 42093087556 43587516700 48175541375 48449201255 50102563030 51576167825 51881352250 52616359445 52927698850 53240880500 53639214538 53651838500 53956606340 54484395875 55044806804 56343712750 56663771710 56999060300 60677844500 65133331939 67445757925 68806008505 69213144650 70143588242 71248825375 71981670436 73662903223 73680239750 74098778390 74537232700 75112573900 76627449340 78881197850 79347950500 80948245300 89977088045 93171540875 93890717375 95784311675 96328411907 96351082750 96898402510 100205126060 101185306625 103152335650 103762704500 105232718890 105855397700 107278429076 108968791750 112687425500 113327543420 125256407575 125967923263 130266663878 132319247125 134098036345 134891515850 136802534557 137612017010 138426289300 140287176484 141659429275 142497650750 147325806446 147360479500 148197556780 157762395700 173032861625 175358970605 178895622113 179954176090 185246945975 186343081750 187781434750 191568623350 192656823814 192702165500 193796805020 197202994625 202370613250 206304671300 210465437780 217937583500 233940428917 242246006275 250512815150 251935846526 257880839125 260533327756 263081797225 264638494250 268196072690 269783031700 273605069114 275224034020 283318858550 284995301500 294651612892 325666659695 337228789625 344030042525 346065723250 350717941210 357791244226 359908352180 368314516115 370493891950 372686163500 375562869500 383137246700 385313647628 394405989250 404741226500 449885440225 455933323573 467880857834 478921558375 481642059535 484492012550 501025630300 503871693052 515761678250 526163594450 529276988500 536392145380 547210138228 566637717100 626282037875 629839616315 651333319390 670490181725 674457579250 684012672785 688060085050 692131446500 701435882420 708297146375 715582488452 736629032230 740987783900 788811978500 876794853025 894478110565 899770880450 911866647146 926234729875 935761715668 957617741899 957843116750 963284119070 968984025100 1031523356500 1052327188900 1169702144585 1211230031375 1252269354791 1252564075750 1259679232630 1302666638780 1315408986125 1340980363450 1348915158500 1368025345570 1376120170100 1416594292750 1473258064460 1628333298475 1637583002419 1720150212625 1753589706050 1788956221130 1799541760900 1823733294292 1841572580575 1852469459750 1915235483798 1915686233500 1926568238140 2249427201125 2279666617865 2325643087469 2339404289170 2408210297675 2422460062750 2504538709582 2505128151500 2519358465260 2630817972250 2681960726900 2736050691140 2833188585500 3041225575921 3149198081575 3256666596950 3275166004838 3352450908625 3420063363925 3440300425250 3507179412100 3577912442260 3683145161150 3704938919500 3830470967596 4383974265125 4472390552825 4498854402250 4559333235730 4651286174938 4678808578340 4788088709495 4816420595350 4844920125500 5009077419164 5261635944500 5848510722925 6082451151842 6261346773955 6298396163150 6513333193900 6550332009676 6704901817250 6840126727850 6880600850500 7366290322300 8141666492375 8187915012095 8767948530250 8944781105650 8997708804500 9118666471460 9207862902875 9302572349876 9576177418990 9632841190700 11398333089325 11628215437345 11697021445850 12041051488375 12164902303684 12522693547910 12596792326300 13409803634500 13680253455700 15206127879605 15745990407875 16279501612283 16283332984750 16375830024190 17100316819625 17535897060500 17889562211300 18415725805750 19152354837980 21288579031447 22361952764125 22796666178650 23256430874690 23394042891700 23940443547475 24082102976750 25045387095820 29242553614625 30412255759210 31306733869775 31491980815750 32559003224566 32566665969500 32751660048380 34200633639250 36831451611500 39535932486973 40939575060475 42577158062894 44723905528250 45593332357300 46512861749380 47880887094950 48164205953500 56991665446625 58141077186725 58485107229250 60824511518420 62613467739550 62983961631500 65118006449132 68401267278500 76030639398025 79071864973946 81397508061415 81879150120950 85154316125788 89447811056500 95761774189900 106442895157235 113983330893250 116282154373450 116970214458500 119702217737375 125226935479100 152061278796050 156533669348875 158143729947892 162795016122830 163758300241900 197679662434865 204697875302375 212885790314470 227966661786500 232564308746900 239404435474750 276751527408811 290705385933625 304122557592100 313067338697750 325590032245660 380153196990125 395359324869730 406987540307075 409395750604750 425771580628940 478808870949500 532214475786175 553503054817622 581410771867250 626134677395500 760306393980250 790718649739460 813975080614150 818791501209500 988398312174325 1064428951572350 1107006109635244 1162821543734500 1383757637044055 1520612787960500 1627950161228300 1976796624348650 2034937701535375 2128857903144700 2661072378930875 2767515274088110 3953593248697300 4069875403070750 4941991560871625 5322144757861750 5535030548176220 6918788185220275 8139750806141500 9883983121743250 10644289515723500 13837576370440550 19767966243486500 27675152740881100 34593940926101375 69187881852202750 138375763704405500
- Sum of all divisors σ(n): 398128461623395776
- Sum of proper divisors (its aliquot sum) s(n): 259752697918990276
- 138375763704405500 is an abundant number, because the sum of its proper divisors (259752697918990276) is greater than itself. Its abundance is 121376934214584776
Bases of 138375763704405500
- Binary: 1111010111001110000000110001000010001111111011101111111002
- Hexadecimal: 0x1EB9C06211FDDFC
- Base-36: 11UI449L9BZW
Squares and roots of 138375763704405500
- 138375763704405500 squared (1383757637044055002) is 19147851980777466543980108430250000
- 138375763704405500 cubed (1383757637044055003) is 2649598641138995514675762270504156299614466375000000
-
The
square root of 138375763704405500 is 371988929.5454980337 -
The
cube root of 138375763704405500 is 517233.5376071305
Scales and comparisons
How big is 138375763704405500?- 138,375,763,704,405,500 seconds is equal to 4,399,921,261 years, 23 weeks, 6 days, 8 hours, 38 minutes, 20 seconds.
-
To count from 1 to 138,375,763,704,405,500 would take you about thirteen billion, one hundred ninety-nine million, seven hundred sixty-three thousand, seven hundred eighty-four 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 138375763704405500 cubic inches would be around 43102.8 feet tall.
Recreational maths with 138375763704405500
- 138375763704405500 backwards is 005504407367573831
- 138375763704405500 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138375763704405500's digits is 68
- More coming soon!
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MLA style:
"Number 138375763704405500 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
APA style:
Numbermatics. (2024). Number 138375763704405500 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138375763704405500/
Chicago style:
Numbermatics. 2024. "Number 138375763704405500 - Facts about the integer". https://numbermatics.com/n/138375763704405500/
The information we have on file for 138375763704405500 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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