138117220320078100
138,117,220,320,078,100 is an even composite number composed of seven prime numbers multiplied together.
138117220320078100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138117220320078100:
22 × 52 × 172 × 43 × 103 × 1072 × 3072
(2 × 2 × 5 × 5 × 17 × 17 × 43 × 103 × 107 × 107 × 307 × 307)See below for interesting mathematical facts about the number 138117220320078100 from the Numbermatics database.
Names of 138117220320078100
- Cardinal: 138117220320078100 can be written as One hundred thirty-eight quadrillion, one hundred seventeen trillion, two hundred twenty billion, three hundred twenty million, seventy-eight thousand, one hundred.
Scientific notation
- Scientific notation: 1.381172203200781 × 1017
Factors of 138117220320078100
Divisors of 138117220320078100
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 5 10 17 20 25 34 43 50 68 85 86 100 103 107 170 172 206 214 215 289 307 340 412 425 428 430 515 535 578 614 731 850 860 1030 1070 1075 1156 1228 1445 1462 1535 1700 1751 1819 2060 2140 2150 2575 2675 2890 2924 3070 3502 3638 3655 4300 4429 4601 5150 5219 5350 5780 6140 7004 7225 7276 7310 7675 8755 8858 9095 9202 10300 10438 10700 11021 11449 12427 13201 14450 14620 15350 17510 17716 18190 18275 18404 20876 22042 22145 22898 23005 24854 26095 26402 28900 29767 30700 30923 31621 32849 35020 36380 36550 43775 44084 44290 45475 45796 46010 49708 52190 52804 55105 57245 59534 61846 62135 63242 65698 66005 73100 75293 78217 87550 88580 88723 90950 92020 94249 104380 110210 110725 114490 115025 119068 123692 124270 126484 130475 131396 132010 148835 150586 154615 156434 158105 164245 175100 177446 181900 187357 188498 194633 220420 221450 224417 228980 230050 248540 260950 264020 275525 286225 297670 301172 309230 310675 312868 316210 328490 330025 354892 374714 376465 376996 389266 391085 442900 443615 448834 460100 471245 473903 492307 521900 537557 551050 558433 572450 595340 618460 621350 632420 656980 660050 744175 749428 752930 773075 778532 782170 790525 821225 887230 897668 936785 942490 947806 973165 984614 1075114 1102100 1116866 1122085 1144900 1179247 1242700 1279981 1320100 1329689 1359703 1412507 1488350 1505860 1546150 1564340 1581050 1602233 1642450 1774460 1873570 1882325 1884980 1895612 1946330 1955425 1969228 2150228 2218075 2233732 2244170 2356225 2358494 2369515 2461535 2559962 2659378 2687785 2719406 2792165 2825014 2976700 3092300 3162100 3185069 3204466 3284900 3308761 3383447 3514843 3747140 3764650 3815089 3892660 3910850 4052707 4436150 4488340 4683925 4712450 4716988 4739030 4865825 4923070 5119924 5318756 5375570 5438812 5584330 5610425 5650028 5896235 6370138 6399905 6408932 6617522 6648445 6766894 6798515 7029686 7062535 7529300 7630178 7821700 8011165 8056351 8105414 8369219 8872300 9138469 9367850 9424900 9478060 9493361 9707647 9731650 9846140 10084643 10751140 11168660 11220850 11792470 11847575 12307675 12740276 12799810 13235044 13296890 13438925 13533788 13597030 13960825 14059372 14125070 15260356 15925345 16022330 16112702 16210828 16543805 16738438 16917235 17574215 18276938 18735700 18986722 19075445 19415294 19463300 20047199 20169286 20263535 22441700 23114951 23584940 23695150 24012619 24615350 25599620 26593780 26877850 27194060 27237961 27921650 28250140 29481175 31850690 31999525 32044660 32225404 33087610 33242225 33476876 33834470 33992575 35148430 35312675 36553876 37973444 38150890 38830588 40055825 40094398 40281755 40338572 40527070 41846095 45692345 46229902 47390300 47466805 48025238 48538235 49230700 50423215 50707621 53755700 54475922 55843300 57518599 58962350 59752331 63701380 63999050 66175220 66484450 67668940 67985150 68896019 70296860 70625350 76301780 79626725 80111650 80188796 80563510 81054140 82719025 83692190 84586175 87871075 91384690 92459804 94933610 95377225 96050476 97076470 100235995 100846430 101317675 101415242 108951844 115037198 115574755 117924700 119504662 120063095 127998100 132968900 135970300 136189805 136957967 137792038 141250700 142276723 145488221 151138249 159253450 160223300 161127020 165029999 165438050 167384380 169172350 171438931 175742150 182769380 189867220 190754450 194152940 200471990 201408775 201692860 202635350 202830484 209230475 228461725 230074396 231149510 237334025 239009324 240126190 242691175 252116075 253538105 272379610 273915934 275584076 284553446 287592995 290976442 298761655 302276498 318506900 330059998 330876100 338344700 340802383 342877862 344480095 351484300 362028829 381508900 392954167 400943980 402817550 405270700 408214523 417428821 418460950 433639649 456923450 462299020 474668050 480252380 485382350 501179975 504232150 507076210 544759220 547831868 569106892 575185990 577873775 581952884 597523310 600315475 604552996 660119996 680949025 681604766 684789835 685755724 688960190 711383615 724057658 727441105 755691245 785908334 805635100 816429046 825149995 834857642 836921900 857194655 862029557 867279298 913846900 949336100 970764700 977816183 1002359950 1008464300 1014152420 1015789627 1038718229 1079056801 1150371980 1155747550 1171232323 1195046620 1200630950 1267690525 1361898050 1363209532 1369579670 1377920380 1422767230 1437964975 1448115316 1454882210 1493808275 1511382490 1571816668 1632858092 1650299990 1669715284 1704011915 1714389310 1722400475 1724059114 1734558596 1810144145 1955632366 1964770835 2004719900 2031579254 2041072615 2077436458 2087144105 2158113602 2168198245 2311495100 2342464646 2401261900 2473299757 2535381050 2569350233 2723796100 2739159340 2805509983 2845534460 2875929950 2909764420 2914461827 2987616550 3022764980 3300599980 3408023830 3423949175 3428778620 3444800950 3448118228 3556918075 3620288290 3637205525 3778456225 3911264732 3929541670 4063158508 4082145230 4125749975 4154872916 4174288210 4285973275 4310147785 4316227204 4336396490 4684929292 4889080915 4946599514 5070762100 5078948135 5138700466 5193591145 5395284005 5611019966 5751859900 5828923654 5856161615 5975233100 6154490093 6816047660 6847898350 6889601900 7096289957 7113836150 7240576580 7274411050 7371874033 7556912450 7859083340 8164290460 8251499950 8348576420 8520059575 8571946550 8620295570 8672792980 9050720725 9778161830 9823854175 9893199028 10157896270 10205363075 10277400932 10387182290 10435720525 10790568010 10840991225 11222039932 11657847308 11712323230 12308980186 12366498785 12846751165 13695796700 14027549915 14192579914 14227672300 14548822100 14572309135 14654502469 14743748066 15113824900 15567239647 16502999900 17040119150 17143893100 17240591140 17658209893 18101441450 18343965617 19556323660 19647708350 20315792540 20410726150 20774364580 20871441050 21550738925 21581136020 21681982450 23424646460 24445404575 24617960372 24732997570 25394740675 25693502330 25967955725 26976420025 28055099830 28385159828 29144618270 29280808075 29309004938 29487496132 30772450465 31134479294 34080238300 35316419786 35481449785 36202882900 36687931234 36859370165 39295416700 40821452300 41742882100 42046095869 43101477850 43363964900 43678953961 44664883847 46399442443 48890809150 49465995140 50789481350 51387004660 51935911450 53952840050 56110199660 58289236540 58561616150 58618009876 61544900930 61832493925 62268958588 64233755825 70137749575 70632839572 70962899570 72861545675 73272512345 73375862468 73718740330 77836198235 84092191738 86202955700 87357907922 88291049465 89329767694 91719828085 92798884886 97781618300 101578962700 103871822900 104626331581 107905680100 111142850503 117123232300 120636929269 123089801860 123664987850 125321858561 128467511650 140275499150 141925799140 145723091350 146545024690 147437480660 153862252325 155672396470 168184383476 174715815844 176582098930 177407248925 178659535388 183439656170 184296850825 185597769772 209252663162 210230479345 218394769805 222285701006 223324419235 231997212215 241273858538 247329975700 250643717122 256935023300 264643073999 280550998300 291446182700 293090049380 300189568181 307724504650 311344792940 311847415489 353164197860 354814497850 366362561725 366879312340 368593701650 389180991175 418505326324 420460958690 436789539610 441455247325 444571402012 446648838470 458599140425 463994424430 482547717076 501287434244 523131657905 529286147998 555714252515 600379136362 603184646345 615449009300 623694830978 626609292805 709628995700 732725123450 737187403300 759303025399 778361982350 788790521531 840921917380 873579079220 882910494650 893297676940 917198280850 927988848860 1046263315810 1051152396725 1058572295996 1091973849025 1111428505030 1116622096175 1159986061075 1200758272724 1206369292690 1247389661956 1253218585610 1323215369995 1465450246900 1500947840905 1518606050798 1556723964700 1559237077445 1577581043062 1765820989300 1834396561700 1889428458551 2092526631620 2102304793450 2183947698050 2222857010060 2233244192350 2319972122150 2412738585380 2506437171220 2615658289525 2646430739990 2778571262575 3001895681810 3015923231725 3037212101596 3118474154890 3133046464025 3155162086124 3778856917102 3796515126995 3943952607655 4204609586900 4367895396100 4466488384700 4498932257983 4639944244300 4779142571629 5231316579050 5292861479980 5557142525150 6003791363620 6031846463450 6236948309780 6266092928050 6616076849975 7504739204525 7557713834204 7593030253990 7796185387225 7887905215310 8997864515966 9447142292755 9558285143258 10462633158100 11114285050300 12063692926900 12532185856100 12908151431783 13232153699950 13409438866027 15009478409050 15186060507980 15592370774450 15775810430620 17995729031932 18894284585510 18982575634975 19116570286516 19719763038275 22494661289915 23895712858145 25816302863566 26464307399900 26818877732054 30018956818100 31184741548900 32120283795367 37788569171020 37965151269950 39439526076550 44989322579830 47235711463775 47791425716290 51632605727132 53637755464108 64240567590734 64540757158915 67047194330135 75930302539900 78879052153100 81245423717693 89978645159660 94471422927550 95582851432580 112473306449575 119478564290725 128481135181468 129081514317830 134094388660270 160601418976835 162490847435386 188942845855100 224946612899150 238957128581450 258163028635660 268188777320540 321202837953670 322703785794575 324981694870772 335235971650675 406227118588465 449893225798300 477914257162900 642405675907340 645407571589150 670471943301350 803007094884175 812454237176930 1290815143178300 1340943886602700 1381172203200781 1606014189768350 1624908474353860 2031135592942325 2762344406401562 3212028379536700 4062271185884650 5524688812803124 6905861016003905 8124542371769300 13811722032007810 27623444064015620 34529305080019525 69058610160039050 138117220320078100
- Sum of all divisors σ(n): 333137040547767456
- Sum of proper divisors (its aliquot sum) s(n): 195019820227689356
- 138117220320078100 is an abundant number, because the sum of its proper divisors (195019820227689356) is greater than itself. Its abundance is 56902599907611256
Bases of 138117220320078100
- Binary: 1111010101011000011100001010011101000101011101001000101002
- Hexadecimal: 0x1EAB0E14E8AE914
- Base-36: 11RYGV2PMFIS
Squares and roots of 138117220320078100
- 138117220320078100 squared (1381172203200781002) is 19076366548944994812213990099610000
- 138117220320078100 cubed (1381172203200781003) is 2634774721547203776267289301668967028701979541000000
-
The
square root of 138117220320078100 is 371641252.1775241517 -
The
cube root of 138117220320078100 is 516911.2010978919
Scales and comparisons
How big is 138117220320078100?- 138,117,220,320,078,100 seconds is equal to 4,391,700,381 years, 29 weeks, 2 days, 19 hours, 1 minute, 40 seconds.
-
To count from 1 to 138,117,220,320,078,100 would take you about thirteen billion, one hundred seventy-five million, one hundred one thousand, one hundred forty-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 138117220320078100 cubic inches would be around 43075.9 feet tall.
Recreational maths with 138117220320078100
- 138117220320078100 backwards is 001870023022711831
- The number of decimal digits it has is: 18
- The sum of 138117220320078100's digits is 46
- More coming soon!
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"Number 138117220320078100 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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The information we have on file for 138117220320078100 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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