138668423198502400
138,668,423,198,502,400 is an even composite number composed of five prime numbers multiplied together.
138668423198502400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138668423198502400:
29 × 52 × 73 × 293 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 29 × 29 × 29 × 109 × 109 × 109)See below for interesting mathematical facts about the number 138668423198502400 from the Numbermatics database.
Names of 138668423198502400
- Cardinal: 138668423198502400 can be written as One hundred thirty-eight quadrillion, six hundred sixty-eight trillion, four hundred twenty-three billion, one hundred ninety-eight million, five hundred two thousand, four hundred.
Scientific notation
- Scientific notation: 1.386684231985024 × 1017
Factors of 138668423198502400
Divisors of 138668423198502400
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 49 50 56 58 64 70 80 98 100 109 112 116 128 140 145 160 175 196 200 203 218 224 232 245 256 280 290 320 343 350 392 400 406 436 448 464 490 512 545 560 580 640 686 700 725 763 784 800 812 841 872 896 928 980 1015 1090 1120 1160 1225 1280 1372 1400 1421 1450 1526 1568 1600 1624 1682 1715 1744 1792 1856 1960 2030 2180 2240 2320 2450 2560 2725 2744 2800 2842 2900 3052 3136 3161 3200 3248 3364 3430 3488 3584 3712 3815 3920 4060 4205 4360 4480 4640 4900 5075 5341 5450 5488 5600 5684 5800 5887 6104 6272 6322 6400 6496 6728 6860 6976 7105 7424 7630 7840 8120 8410 8575 8720 8960 9280 9800 9947 10150 10682 10900 10976 11200 11368 11600 11774 11881 12208 12544 12644 12800 12992 13456 13720 13952 14210 14848 15260 15680 15805 16240 16820 17150 17440 17920 18560 19075 19600 19894 20300 21025 21364 21800 21952 22127 22400 22736 23200 23548 23762 24389 24416 25088 25288 25984 26705 26912 27440 27904 28420 29435 30520 31360 31610 32480 33640 34300 34880 35525 37120 37387 38150 39200 39788 40600 41209 42050 42728 43600 43904 44254 44800 45472 46400 47096 47524 48778 48832 49735 50576 51968 53410 53824 54880 55808 56840 58870 59405 61040 62720 63220 64960 67280 68600 69760 71050 74240 74774 76300 78400 79025 79576 81200 82418 83167 84100 85456 87200 87808 88508 89600 90944 91669 92800 94192 95048 97556 97664 99470 101152 103936 106820 107648 109760 110635 113680 117740 118810 121945 122080 125440 126440 129920 133525 134560 137200 139520 142100 147175 149548 152600 154889 156800 158050 159152 162400 164836 166334 168200 170723 170912 174400 175616 177016 181888 183338 185600 186935 188384 190096 195112 195328 198940 202304 206045 213640 215296 219520 221270 227360 235480 237620 243890 244160 248675 252880 259840 267050 269120 274400 279040 284200 288463 294350 297025 299096 305200 309778 313600 316100 318304 324800 329672 332668 336400 341446 341824 344549 348800 354032 363776 366676 371200 373870 376768 380192 390224 390656 397880 404608 412090 415835 427280 430592 439040 442540 454720 458345 470960 475240 487780 488320 497350 505760 519680 534100 538240 548800 553175 568400 576926 582169 588700 594050 598192 609725 610400 619556 627200 632200 636608 641683 649600 659344 665336 672800 682892 683648 689098 697600 708064 727552 733352 747740 753536 760384 774445 780448 795760 809216 824180 831670 853615 854560 878080 885080 909440 916690 934675 941920 950480 975560 976640 994700 1011520 1030225 1068200 1076480 1084223 1097600 1106350 1136800 1153852 1164338 1177400 1188100 1195061 1196384 1219450 1220800 1239112 1264400 1273216 1283366 1295029 1299200 1318688 1330672 1345600 1365784 1367296 1378196 1395200 1416128 1442315 1466704 1495480 1507072 1520768 1548890 1560896 1591520 1618432 1648360 1663340 1707230 1709120 1722745 1770160 1818880 1833380 1869350 1883840 1900960 1951120 1953280 1989400 2023040 2060450 2079175 2136400 2152960 2168446 2195200 2212700 2273600 2291725 2307704 2328676 2354800 2376200 2390122 2392768 2411843 2438900 2441600 2478224 2528800 2546432 2566732 2590058 2598400 2637376 2658401 2661344 2691200 2731568 2734592 2756392 2832256 2884630 2910845 2933408 2990960 3014144 3041536 3097780 3121792 3183040 3208415 3296720 3326680 3414460 3418240 3445490 3540320 3637760 3666760 3738700 3767680 3801920 3872225 3902240 3978800 4046080 4075183 4120900 4158350 4268075 4272800 4336892 4390400 4425400 4491781 4547200 4583450 4615408 4657352 4709600 4752400 4780244 4785536 4823686 4877800 4883200 4956448 5057600 5092864 5133464 5180116 5274752 5316802 5322688 5382400 5421115 5463136 5512784 5664512 5769260 5821690 5866816 5975305 5981920 6083072 6195560 6243584 6366080 6416830 6475145 6593440 6653360 6828920 6836480 6890980 7080640 7211575 7333520 7477400 7535360 7603840 7744450 7804480 7957600 8092160 8150366 8241800 8316700 8365427 8536150 8545600 8613725 8673784 8850800 8983562 9065203 9094400 9166900 9230816 9314704 9419200 9504800 9560488 9571072 9647372 9755600 9766400 9912896 9991921 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293340800 297740912 298070528 300446728 305935616 308715904 312179200 314424670 317282105 319741472 326014640 328541696 331527424 334617080 337658020 340275328 346951360 349717235 359342480 362608120 369232640 372176140 372588160 375558410 382419520 385894880 396515840 399676840 407518300 410677120 414409280 418271350 422072525 425344160 433689200 437050880 441022720 444194947 449178100 453260150 461540800 465220175 465735200 472721228 478024400 478553600 482368600 489604129 495644800 499596050 503079472 507651368 513346400 518011600 521046596 521623424 525781774 527475200 531680200 532268800 535387328 540252832 546313600 551278400 555122176 559547576 574947968 579531418 580172992 586681600 590901535 595481824 600893456 611871232 617431808 628849340 634564210 639482944 651308245 652029280 663054848 669234160 675316040 680550656 693902720 699434470 718684960 725216240 738465280 744352280 745176320 751116820 764839040 771789760 786061675 799353680 815036600 821354240 828818560 836542700 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105156354800 106733700122 107077465600 108050566400 108911938900 109671324896 111909515200 113588157928 113713906432 115906283600 116034598400 116714437504 117775117376 119096364800 120178691200 121981371568 125338657024 126337849124 127896588800 128816534630 129815037632 134600134144 137089156120 139407281792 141985197410 142142383040 145893046880 147218896720 148360043008 151270792960 152476714460 156673321280 157922311405 162268797040 162448437760 166734910720 168250167680 171361445150 174259102240 177677978800 179055224320 182366308600 184023620900 185450053760 189088491200 190595893075 195841651600 198779276374 201231788800 202835996300 203060547200 206106455408 208418638400 210312709600 213467400244 216101132800 217823877800 219342649792 221091235967 223819030400 227176315856 227427812864 231812567200 233428875008 235550234752 238192729600 240357382400 243962743136 250677314048 252675698248 257633069260 259630075264 266834250305 274178312240 278814563584 283970394820 284284766080 291786093760 294437793440 302541585920 304953428920 313346642560 315844622810 322041336575 324537594080 333469821440 336500335360 342722890300 348518204480 354962993525 355355957600 364732617200 368047241800 370900107520 373567950427 378176982400 381191786150 391683303200 397558552748 402463577600 405671992600 406121094400 412212910816 416837276800 420625419200 426934800488 435647755600 438685299584 442182471934 447638060800 454352631712 463625134400 466857750016 471100469504 480714764800 487925486272 496948190935 505351396496 515266138520 519260150528 533668500610 548356624480 557629127168 567940789640 568569532160 583572187520 588875586880 609906857840 626693285120 631689245620 644082673150 649075188160 673000670720 685445780600 697036408960 709925987050 710711915200 729465234400 736094483600 741800215040 747135900854 756353964800 762383572300 783366606400 789611557025 795117105496 811343985200 812242188800 824425821632 833674553600 841250838400 853869600976 871295511200 877370599168 884364943868 895276121600 908705263424 927250268800 942200939008 975850972544 993896381870 1010702792992 1030532277040 1038520301056 1067337001220 1096713248960 1105456179835 1135881579280 1137139064320 1167144375040 1177751173760 1219813715680 1253386570240 1263378491240 1288165346300 1298150376320 1334171251525 1370891561200 1394072817920 1419851974100 1421423830400 1458930468800 1472188967200 1494271801708 1512707929600 1524767144600 1547638651769 1566733212800 1579223114050 1590234210992 1622687970400 1648851643264 1667349107200 1682501676800 1707739201952 1742591022400 1754741198336 1768729887736 1817410526848 1854500537600 1867839752135 1951701945088 1987792763740 2021405585984 2061064554080 2134674002440 2193426497920 2210912359670 2271763158560 2334288750080 2355502347520 2439627431360 2484740954675 2526756982480 2576330692600 2596300752640 2668342503050 2741783122400 2788145635840 2839703948200 2842847660800 2917860937600 2944377934400 2988543603416 3049534289200 3095277303538 3133466425600 3158446228100 3180468421984 3245375940800 3297703286528 3365003353600 3415478403904 3485182044800 3537459775472 3634821053696 3709001075200 3735679504270 3903403890176 3975585527480 4042811171968 4122129108160 4269348004880 4386852995840 4421824719340 4543526317120 4711004695040 4879254862720 4969481909350 5053513964960 5152661385200 5192601505280 5336685006100 5483566244800 5527280899175 5679407896400 5685695321600 5835721875200 5888755868800 5977087206832 6099068578400 6190554607076 6266932851200 6316892456200 6360936843968 6490751881600 6595406573056 6830956807808 6970364089600 7074919550944 7269642107392 7471359008540 7738193258845 7951171054960 8085622343936 8244258216320 8538696009760 8773705991680 8843649438680 9087052634240 9339198760675 9758509725440 9938963818700 10107027929920 10305322770400 10673370012200 10833470562383 10967132489600 11054561798350 11358815792800 11671443750400 11777511737600 11954174413664 12198137156800 12381109214152 12633784912400 12721873687936 12981503763200 13661913615616 13940728179200 14149839101888 14942718017080 15476386517690 15902342109920 16171244687872 16488516432640 17077392019520 17687298877360 18174105268480 18678397521350 19517019450880 19877927637400 20214055859840 20610645540800 21346740024400 21666941124766 21934264979200 22109123596700 22717631585600 23555023475200 23908348827328 24396274313600 24762218428304 25267569824800 25443747375872 25963007526400 27323827231232 28299678203776 29885436034160 30952773035380 31804684219840 32977032865280 34154784039040 35374597754720 36348210536960 37356795042700 38690966294225 39755855274800 40428111719680 41221291081600 42693480048800 43333882249532 43868529958400 44218247193400 45435263171200 47816697654656 48792548627200 49524436856608 50535139649600 50887494751744 54167352811915 56599356407552 59770872068320 61905546070760 63609368439680 68309568078080 70749195509440 74713590085400 77381932588450 79511710549600 80856223439360 82442582163200 85386960097600 86667764499064 88436494386800 90870526342400 95633395309312 97585097254400 99048873713216 101070279299200 108334705623830 113198712815104 119541744136640 123811092141520 127218736879360 136619136156160 141498391018880 149427180170800 154763865176900 159023421099200 164885164326400 170773920195200 173335528998128 176872988773600 181741052684800 191266790618624 198097747426432 202140558598400 216669411247660 239083488273280 247622184283040 254437473758720 270836764059575 282996782037760 298854360341600 309527730353800 318046842198400 341547840390400 346671057996256 353745977547200 396195494852864 404281117196800 433338822495320 478166976546560 495244368566080 541673528119150 565993564075520 597708720683200 619055460707600 636093684396800 683095680780800 693342115992512 707491955094400 792390989705728 866677644990640 956333953093120 990488737132160 1083347056238300 1195417441366400 1238110921415200 1272187368793600 1386684231985024 1414983910188800 1733355289981280 1980977474264320 2166694112476600 2390834882732800 2476221842830400 2773368463970048 2829967820377600 3466710579962560 3961954948528640 4333388224953200 4781669765465600 4952443685660800 5546736927940096 6933421159925120 8666776449906400 9904887371321600 13866842319850240 17333552899812800 19809774742643200 27733684639700480 34667105799625600 69334211599251200 138668423198502400
- Sum of all divisors σ(n): 418806003227040000
- Sum of proper divisors (its aliquot sum) s(n): 280137580028537600
- 138668423198502400 is an abundant number, because the sum of its proper divisors (280137580028537600) is greater than itself. Its abundance is 141469156830035200
Bases of 138668423198502400
- Binary: 1111011001010011000110010001110100100111101101110000000002
- Hexadecimal: 0x1ECA6323A4F6E00
- Base-36: 11XDUQ6JST8G
Squares and roots of 138668423198502400
- 138668423198502400 squared (1386684231985024002) is 19228931592358958578833602805760000
- 138668423198502400 cubed (1386684231985024003) is 2666445623704284706568251819882173874070093824000000
-
The
square root of 138668423198502400 is 372382093.0153629177 -
The
cube root of 138668423198502400 is 517597.9239474885
Scales and comparisons
How big is 138668423198502400?- 138,668,423,198,502,400 seconds is equal to 4,409,226,928 years, 6 weeks, 12 hours, 26 minutes, 40 seconds.
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To count from 1 to 138,668,423,198,502,400 would take you about thirteen billion, two hundred twenty-seven million, six hundred eighty 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 138668423198502400 cubic inches would be around 43133.2 feet tall.
Recreational maths with 138668423198502400
- 138668423198502400 backwards is 004205891324866831
- 138668423198502400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138668423198502400's digits is 70
- More coming soon!
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The information we have on file for 138668423198502400 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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