138242391674002200
138,242,391,674,002,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138242391674002200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
138242391674002200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138242391674002200:
23 × 34 × 52 × 13 × 439 × 76913 × 19441
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 439 × 76913 × 19441)See below for interesting mathematical facts about the number 138242391674002200 from the Numbermatics database.
Names of 138242391674002200
- Cardinal: 138242391674002200 can be written as One hundred thirty-eight quadrillion, two hundred forty-two trillion, three hundred ninety-one billion, six hundred seventy-four million, two thousand, two hundred.
Scientific notation
- Scientific notation: 1.382423916740022 × 1017
Factors of 138242391674002200
Divisors of 138242391674002200
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 27 30 36 39 40 45 50 52 54 60 65 72 75 78 81 90 100 104 108 117 120 130 135 150 156 162 180 195 200 216 225 234 260 270 300 312 324 325 351 360 390 405 439 450 468 520 540 585 600 648 650 675 702 780 810 878 900 936 975 1053 1080 1170 1300 1317 1350 1404 1560 1620 1755 1756 1800 1950 2025 2106 2195 2340 2600 2634 2700 2808 2925 3240 3510 3512 3900 3951 4050 4212 4390 4680 5265 5268 5400 5707 5850 6585 7020 7800 7902 8100 8424 8775 8780 10530 10536 10975 11414 11700 11853 13170 14040 15804 16200 17121 17550 17560 19441 19755 21060 21950 22828 23400 23706 26325 26340 28535 31608 32925 34242 35100 35559 38882 39510 42120 43900 45656 47412 51363 52650 52680 57070 58323 59265 65850 68484 70200 71118 76913 77764 79020 85605 87800 94824 97205 98775 102726 105300 114140 116646 118530 131700 136968 142236 142675 153826 154089 155528 158040 171210 174969 177795 194410 197550 205452 210600 228280 230739 233292 237060 252733 256815 263400 284472 285350 291615 296325 307652 308178 342420 349938 355590 384565 388820 395100 410904 428025 461478 462267 466584 474120 486025 505466 513630 524907 570700 583230 592650 615304 616356 684840 692217 699876 711180 758199 769130 770445 777640 790200 856050 874845 888975 922956 924534 972050 999869 1010932 1027260 1049814 1141400 1153695 1166460 1185300 1232712 1263665 1284075 1384434 1399752 1422360 1458075 1516398 1538260 1540890 1574721 1712100 1749690 1777950 1845912 1849068 1922825 1944100 1999738 2021864 2054520 2076651 2099628 2274597 2307390 2311335 2332920 2370600 2527330 2568150 2624535 2768868 2916150 2999607 3032796 3076520 3081780 3149442 3424200 3461085 3499380 3555900 3698136 3790995 3845650 3852225 3888200 3999476 4153302 4199256 4374225 4549194 4614780 4622670 4999345 5054660 5136300 5249070 5537736 5768475 5832300 5999214 6065592 6163560 6229953 6298884 6318325 6823791 6922170 6998760 7111800 7581990 7691300 7704450 7873605 7998952 8306604 8534599 8748450 8998821 9098388 9229560 9245340 9998690 10109320 10272600 10383255 10498140 11372985 11536950 11556675 11664600 11998428 12459906 12597768 12636650 13122675 13647582 13844340 14998035 15163980 15382600 15408900 15747210 16613208 17069198 17305425 17496900 17997642 18196776 18490680 18954975 19997380 20471373 20766510 20996280 22745970 23073900 23113350 23996856 24919812 24996725 25273300 25603797 26245350 26996463 27295164 27688680 29996070 30327960 30817800 31149765 31494420 33764807 34118955 34138396 34610850 34993800 35995284 37909950 39368025 39994760 40942746 41533020 42672995 44994105 45491940 46147800 46226700 49839624 49993450 50546600 51207594 51916275 52490700 53992926 54590328 56864925 59992140 62299530 62988840 67529614 68237910 68276792 69221700 71990568 74990175 75819900 76811391 78736050 80989389 81885492 83066040 85345990 89988210 90983880 92453400 99986900 101294421 102356865 102415188 103832550 104981400 107985852 110949787 113729850 119984280 124599060 128018985 134982315 135059228 136475820 138443400 149980350 151639800 153622782 155748825 157472100 161978778 163770984 168824035 170594775 170691980 179976420 199973800 202588842 204713730 204830376 207665100 213364975 215971704 221899574 224970525 227459700 230434173 249198120 256037970 269964630 270118456 272951640 299960700 303883263 307245564 311497650 314944200 323957556 332849361 337648070 341189550 341383960 359952840 384056955 404946945 405177684 409427460 415330200 426729950 438942491 443799148 449941050 454919400 460868346 506472105 511784325 512075940 539929260 554748935 599921400 607766526 614491128 622995300 640094925 647915112 665698722 674911575 675296140 682379100 691302519 768113910 809893890 810355368 818854920 844120175 853459900 877884982 887598296 899882100 911649789 921736692 998548083 1012944210 1023568650 1024151880 1079858520 1109497870 1152170865 1215533052 1245990600 1280189850 1316827473 1331397444 1349823150 1350592280 1364758200 1382605038 1495265633 1519416315 1536227820 1619787780 1664246805 1688240350 1706919800 1755769964 1799764200 1823299578 1843473384 1920284775 1997096166 2024734725 2025888420 2047137300 2194712455 2218995740 2304341730 2431066104 2532360525 2560379700 2633654946 2662794888 2699646300 2734949367 2765210076 2773744675 2990531266 2995644249 3038832630 3072455640 3239575560 3328493610 3376480700 3456512595 3511539928 3646599156 3840569550 3950482419 3994192332 4049469450 4051776840 4094274600 4389424910 4437991480 4485796899 4558248945 4608683460 4992740415 5064721050 5120759400 5267309892 5399292600 5469898734 5530420152 5547489350 5760854325 5981062532 5991288498 6077665260 6584137365 6656987220 6752961400 6913025190 7293198312 7476328165 7597081575 7681139100 7900964838 7988384664 8098938900 8321234025 8778849820 8971593798 8986932747 9116497890 9217366920 9985480830 10129442100 10534619784 10939797468 10973562275 11094978700 11521708650 11851447257 11962125064 11982576996 12155330520 13168274730 13313974440 13457390697 13674746835 13826050380 14952656330 14978221245 15194163150 15362278200 15801929676 16197877800 16642468050 17282562975 17557699640 17943187596 17973865494 18232995780 19438453229 19752412095 19970961660 20258884200 21879594936 21947124550 22189957400 22428984495 22791244725 23043417300 23702894514 23965153992 24963702075 26336549460 26914781394 27349493670 27652100760 29905312660 29956442490 30388326300 31603859352 32920686825 33284936100 34565125950 35554341771 35886375192 35947730988 36465991560 37381640825 38876906458 39504824190 39941923320 40372172091 43894249100 44857968990 44934663735 45582489450 46086834600 47405789028 49927404150 52673098920 53829562788 54698987340 58315359687 59257236285 59810625320 59912884980 60776652600 65841373650 66569872200 67286953485 68373734175 69130251900 71108683542 71895461976 74763281650 74891106225 77753812916 79009648380 80744344182 87788498200 89715937980 89869327470 91164978900 94811578056 97192266145 98762060475 99854808300 107659125576 109397974680 112144922475 116630719374 118514472570 119825769960 121116516273 131682747300 134573906970 136747468350 138260503800 142217367084 149526563300 149782212450 155507625832 158019296760 161488688364 174946079061 177771708855 179431875960 179738654940 182329957800 194384532290 197524120950 199709616600 201860860455 224289844950 224673318675 233261438748 237028945140 242233032546 263365494600 269147813940 273494936700 284434734168 291576798435 296286181425 299053126600 299564424900 322977376728 336434767425 349892158122 355543417710 359477309880 388769064580 395048241900 403721720910 448579689900 449346637350 466522877496 474057890280 484466065092 485961330725 524838237183 538295627880 546989873400 583153596870 592572362850 599128849800 605582581365 656421612887 672869534850 699784316244 711086835420 777538129160 790096483800 807443441820 874730395305 888858544275 897159379800 898693274700 968932130184 971922661450 1009304302275 1049676474366 1166307193740 1185144725700 1211165162730 1312843225774 1345739069700 1399568632488 1422173670840 1457883992175 1574514711549 1614886883640 1749460790610 1777717088550 1797386549400 1943845322900 1969264838661 2018608604550 2099352948732 2332614387480 2370289451400 2422330325460 2624191185915 2625686451548 2691478139400 2915767984350 3027912906825 3149029423098 3282108064435 3498921581220 3555434177100 3887690645800 3938529677322 4037217209100 4198705897464 4373651976525 4844660650920 5248382371830 5251372903096 5831535968700 5907794515983 6055825813650 6298058846196 6564216128870 6997843162440 7110868354200 7872573557745 7877059354644 8074434418200 8533480967531 8747303953050 9846324193305 10496764743660 11663071937400 11815589031966 12111651627300 12596117692392 13120955929575 13128432257740 15745147115490 15754118709288 16410540322175 17066961935062 17494607906100 17723383547949 19692648386610 20993529487320 23631178063932 24223303254600 25600442902593 26241911859150 26256864515480 29538972579915 31490294230980 32821080644350 34133923870124 34989215812200 35446767095898 39362867788725 39385296773220 42667404837655 47262356127864 49231620966525 51200885805186 52483823718300 53170150643847 59077945159830 62980588461960 65642161288700 68267847740248 70893534191796 76801328707779 78725735577450 78770593546440 85334809675310 88616917739745 98463241933050 102401771610372 104967647436600 106340301287694 118155890319660 128002214512965 131284322577400 141787068383592 147694862899575 153602657415558 157451471154900 170669619350620 177233835479490 196926483866100 204803543220744 212680602575388 213337024188275 230403986123337 236311780639320 256004429025930 265850753219235 295389725799150 307205314831116 314902942309800 341339238701240 354467670958980 384006643538895 393852967732200 425361205150776 426674048376550 443084588698725 460807972246674 512008858051860 531701506438470 590779451598300 614410629662232 640011072564825 691211958370011 708935341917960 768013287077790 853348096753100 886169177397450 921615944493348 1024017716103720 1063403012876940 1152019930616685 1181558903196600 1280022145129650 1329253766096175 1382423916740022 1536026574155580 1706696193506200 1772338354794900 1843231888986696 1920033217694475 2126806025753880 2304039861233370 2560044290259300 2658507532192350 2764847833480044 3072053148311160 3456059791850055 3544676709589800 3840066435388950 4608079722466740 5120088580518600 5317015064384700 5529695666960088 5760099653083425 6912119583700110 7680132870777900 9216159444933480 10634030128769400 11520199306166850 13824239167400220 15360265741555800 17280298959250275 23040398612333700 27648478334800440 34560597918500550 46080797224667400 69121195837001100 138242391674002200
- Sum of all divisors σ(n): 518281100289691200
- Sum of proper divisors (its aliquot sum) s(n): 380038708615689000
- 138242391674002200 is an abundant number, because the sum of its proper divisors (380038708615689000) is greater than itself. Its abundance is 241796316941686800
Bases of 138242391674002200
- Binary: 1111010110010001010111001000010001010000100011011000110002
- Hexadecimal: 0x1EB22B908A11B18
- Base-36: 11T6U601X5I0
Squares and roots of 138242391674002200
- 138242391674002200 squared (1382423916740022002) is 19110958855748232788799365604840000
- 138242391674002200 cubed (1382423916740022003) is 2641944659402088107632013866259150548706490648000000
-
The
square root of 138242391674002200 is 371809617.5114385069 -
The
cube root of 138242391674002200 is 517067.3074801767
Scales and comparisons
How big is 138242391674002200?- 138,242,391,674,002,200 seconds is equal to 4,395,680,443 years, 22 weeks, 6 days, 1 hour, 30 minutes.
-
To count from 1 to 138,242,391,674,002,200 would take you about thirteen billion, one hundred eighty-seven million, forty-one thousand, three hundred thirty 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 138242391674002200 cubic inches would be around 43088.9 feet tall.
Recreational maths with 138242391674002200
- 138242391674002200 backwards is 002200476193242831
- 138242391674002200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138242391674002200's digits is 54
- More coming soon!
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The information we have on file for 138242391674002200 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 138242391674002200, math, Factors of 138242391674002200, curriculum, school, college, exams, university, Prime factorization of 138242391674002200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred forty-two trillion, three hundred ninety-one billion, six hundred seventy-four million, two thousand, two hundred.