1138046456437773871488000
1,138,046,456,437,773,871,488,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 1138046456437773871488000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 704 divisors.
1138046456437773871488000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 1138046456437773871488000:
210 × 3 × 53 × 263 × 51287 × 219718042897
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 263 × 51287 × 219718042897)See below for interesting mathematical facts about the number 1138046456437773871488000 from the Numbermatics database.
Names of 1138046456437773871488000
- Cardinal: 1138046456437773871488000 can be written as One septillion, one hundred thirty-eight sextillion, forty-six quintillion, four hundred fifty-six quadrillion, four hundred thirty-seven trillion, seven hundred seventy-three billion, eight hundred seventy-one million, four hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.138046456437773871488 × 1024
Factors of 1138046456437773871488000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 219718094457
Divisors of 1138046456437773871488000
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 263 300 320 375 384 400 480 500 512 526 600 640 750 768 789 800 960 1000 1024 1052 1200 1280 1315 1500 1536 1578 1600 1920 2000 2104 2400 2560 2630 3000 3072 3156 3200 3840 3945 4000 4208 4800 5120 5260 6000 6312 6400 6575 7680 7890 8000 8416 9600 10520 12000 12624 12800 13150 15360 15780 16000 16832 19200 19725 21040 24000 25248 25600 26300 31560 32000 32875 33664 38400 39450 42080 48000 50496 51287 52600 63120 64000 65750 67328 76800 78900 84160 96000 98625 100992 102574 105200 126240 128000 131500 134656 153861 157800 168320 192000 197250 201984 205148 210400 252480 256435 263000 269312 307722 315600 336640 384000 394500 403968 410296 420800 504960 512870 526000 615444 631200 673280 769305 789000 807936 820592 841600 1009920 1025740 1052000 1230888 1262400 1282175 1346560 1538610 1578000 1641184 1683200 2019840 2051480 2104000 2461776 2524800 2564350 3077220 3156000 3282368 3366400 3846525 4039680 4102960 4208000 4923552 5049600 5128700 6154440 6312000 6410875 6564736 6732800 7693050 8205920 8416000 9847104 10099200 10257400 12308880 12624000 12821750 13129472 13488481 15386100 16411840 16832000 19232625 19694208 20198400 20514800 24617760 25248000 25643500 26258944 26976962 30772200 32823680 33664000 38465250 39388416 40465443 41029600 49235520 50496000 51287000 52517888 53953924 61544400 65647360 67442405 76930500 78776832 80930886 82059200 98471040 100992000 102574000 107907848 123088800 131294720 134884810 153861000 157553664 161861772 164118400 196942080 202327215 205148000 215815696 246177600 262589440 269769620 307722000 323723544 328236800 337212025 393884160 404654430 410296000 431631392 492355200 539539240 615444000 647447088 656473600 674424050 787768320 809308860 820592000 863262784 984710400 1011636075 1079078480 1230888000 1294894176 1312947200 1348848100 1618617720 1641184000 1686060125 1726525568 1969420800 2023272150 2158156960 2461776000 2589788352 2697696200 3237235440 3282368000 3372120250 3453051136 3938841600 4046544300 4316313920 4923552000 5058180375 5179576704 5395392400 6474470880 6564736000 6744240500 6906102272 8093088600 8632627840 9847104000 10116360750 10359153408 10790784800 12948941760 13488481000 13812204544 16186177200 17265255680 19694208000 20232721500 20718306816 21581569600 25897883520 26976962000 32372354400 34530511360 40465443000 41436613632 43163139200 51795767040 53953924000 64744708800 69061022720 80930886000 86326278400 103591534080 107907848000 129489417600 161861772000 172652556800 207183068160 215815696000 219718042897 258978835200 323723544000 345305113600 431631392000 439436085794 517957670400 647447088000 659154128691 863262784000 878872171588 1035915340800 1098590214485 1294894176000 1318308257382 1726525568000 1757744343176 2197180428970 2589788352000 2636616514764 3295770643455 3515488686352 4394360857940 5179576704000 5273233029528 5492951072425 6591541286910 7030977372704 8788721715880 10546466059056 10985902144850 13183082573820 14061954745408 16478853217275 17577443431760 21092932118112 21971804289700 26366165147640 27464755362125 28123909490816 32957706434550 35154886863520 42185864236224 43943608579400 52732330295280 54929510724250 56247818981632 57785845281911 65915412869100 70309773727040 82394266086375 84371728472448 87887217158800 105464660590560 109859021448500 112495637963264 115571690563822 131830825738200 140619547454080 164788532172750 168743456944896 173357535845733 175774434317600 210929321181120 219718042897000 224991275926528 231143381127644 263661651476400 281239094908160 288929226409555 329577064345500 337486913889792 346715071691466 351548868635200 421858642362240 439436085794000 462286762255288 527323302952800 562478189816320 577858452819110 659154128691000 674973827779584 693430143382932 703097737270400 843717284724480 866787679228665 878872171588000 924573524510576 1054646605905600 1124956379632640 1155716905638220 1318308257382000 1386860286765864 1406195474540800 1444646132047775 1687434569448960 1733575358457330 1757744343176000 1849147049021152 2109293211811200 2311433811276440 2636616514764000 2773720573531728 2812390949081600 2889292264095550 3374869138897920 3467150716914660 3515488686352000 3698294098042304 4218586423622400 4333938396143325 4622867622552880 5273233029528000 5547441147063456 5624781898163200 5778584528191100 6934301433829320 7030977372704000 7223230660238875 7396588196084608 8437172847244800 8667876792286650 9245735245105760 10546466059056000 11094882294126912 11268679266058439 11557169056382200 13868602867658640 14061954745408000 14446461320477750 14793176392169216 16874345694489600 17335753584573300 18491470490211520 21092932118112000 21669691980716625 22189764588253824 22537358532116878 23114338112764400 27737205735317280 28123909490816000 28892922640955500 29586352784338432 33806037798175317 34671507169146600 36982940980423040 42185864236224000 43339383961433250 44379529176507648 45074717064233756 46228676225528800 55474411470634560 56343396330292195 57785845281911000 59172705568676864 67612075596350634 69343014338293200 73965881960846080 84371728472448000 86678767922866500 88759058353015296 90149434128467512 92457352451057600 110948822941269120 112686792660584390 115571690563822000 135224151192701268 138686028676586400 147931763921692160 169030188990876585 173357535845733000 177518116706030592 180298868256935024 184914704902115200 221897645882538240 225373585321168780 231143381127644000 270448302385402536 277372057353172800 281716981651460975 295863527843384320 338060377981753170 346715071691466000 360597736513870048 369829409804230400 443795291765076480 450747170642337560 462286762255288000 540896604770805072 554744114706345600 563433963302921950 676120755963506340 693430143382932000 721195473027740096 739658819608460800 845150944954382925 887590583530152960 901494341284675120 924573524510576000 1081793209541610144 1109488229412691200 1126867926605843900 1352241511927012680 1386860286765864000 1408584908257304875 1442390946055480192 1479317639216921600 1690301889908765850 1802988682569350240 1849147049021152000 2163586419083220288 2218976458825382400 2253735853211687800 2704483023854025360 2773720573531728000 2817169816514609750 2884781892110960384 2963662646973369457 3380603779817531700 3605977365138700480 3698294098042304000 4225754724771914625 4327172838166440576 4437952917650764800 4507471706423375600 5408966047708050720 5547441147063456000 5634339633029219500 5769563784221920768 5927325293946738914 6761207559635063400 7211954730277400960 7396588196084608000 8451509449543829250 8654345676332881152 8890987940920108371 9014943412846751200 10817932095416101440 11094882294126912000 11268679266058439000 11539127568443841536 11854650587893477828 13522415119270126800 14423909460554801920 14818313234866847285 16903018899087658500 17308691352665762304 17781975881840216742 18029886825693502400 21635864190832202880 22189764588253824000 22537358532116878000 23709301175786955656 27044830238540253600 28847818921109603840 29636626469733694570 33806037798175317000 34617382705331524608 35563951763680433484 36059773651387004800 43271728381664405760 44454939704600541855 45074717064233756000 47418602351573911312 54089660477080507200 57695637842219207680 59273252939467389140 67612075596350634000 71127903527360866968 72119547302774009600 74091566174334236425 86543456763328811520 88909879409201083710 90149434128467512000 94837204703147822624 108179320954161014400 118546505878934778280 135224151192701268000 142255807054721733936 144239094605548019200 148183132348668472850 173086913526657623040 177819758818402167420 180298868256935024000 189674409406295645248 216358641908322028800 222274698523002709275 237093011757869556560 270448302385402536000 284511614109443467872 288478189211096038400 296366264697336945700 355639517636804334840 360597736513870048000 370457830871671182125 379348818812591290496 432717283816644057600 444549397046005418550 474186023515739113120 540896604770805072000 569023228218886935744 592732529394673891400 711279035273608669680 721195473027740096000 740915661743342364250 758697637625182580992 865434567633288115200 889098794092010837100 948372047031478226240 1081793209541610144000 1111373492615013546375 1138046456437773871488 1185465058789347782800 1422558070547217339360 1442390946055480192000 1481831323486684728500 1517395275250365161984 1778197588184021674200 1896744094062956452480 2163586419083220288000 2222746985230027092750 2276092912875547742976 2370930117578695565600 2845116141094434678720 2963662646973369457000 3034790550500730323968 3556395176368043348400 3793488188125912904960 4327172838166440576000 4445493970460054185500 4552185825751095485952 4741860235157391131200 5690232282188869357440 5927325293946738914000 7112790352736086696800 7586976376251825809920 8890987940920108371000 9104371651502190971904 9483720470314782262400 11380464564377738714880 11854650587893477828000 14225580705472173393600 15173952752503651619840 17781975881840216742000 18967440940629564524800 22760929128755477429760 23709301175786955656000 28451161410944346787200 35563951763680433484000 37934881881259129049600 45521858257510954859520 47418602351573911312000 56902322821888693574400 71127903527360866968000 75869763762518258099200 94837204703147822624000 113804645643777387148800 142255807054721733936000 189674409406295645248000 227609291287554774297600 284511614109443467872000 379348818812591290496000 569023228218886935744000 1138046456437773871488000
- Sum of all divisors σ(n): 3800037173230241567889408
- Sum of proper divisors (its aliquot sum) s(n): 2661990716792467696401408
- 1138046456437773871488000 is an abundant number, because the sum of its proper divisors (2661990716792467696401408) is greater than itself. Its abundance is 1523944260354693824913408
Bases of 1138046456437773871488000
- Binary: 111100001111110110011111001111001110010110011100011001001110011000011100000000002
- Hexadecimal: 0xF0FD9F3CE59C64E61C00
- Base-36: 55BK7G2PBVZ6WMIO
Squares and roots of 1138046456437773871488000
- 1138046456437773871488000 squared (11380464564377738714880002) is 1295149737010573942144281655613591939334144000000
- 1138046456437773871488000 cubed (11380464564377738714880003) is 1473940568761198423911032773082253116648050050429802247746486272000000000
-
The
square root of 1138046456437773871488000 is 1066792602354.2597998645 -
The
cube root of 1138046456437773871488000 is 104404687.2952918341
Scales and comparisons
How big is 1138046456437773871488000?- 1,138,046,456,437,773,871,488,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 1,138,046,456,437,773,871,488,000 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 1138046456437773871488000 cubic inches would be around 8700390.6 feet tall.
Recreational maths with 1138046456437773871488000
- 1138046456437773871488000 backwards is 0008841783777346546408311
- The number of decimal digits it has is: 25
- The sum of 1138046456437773871488000's digits is 105
- More coming soon!
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The information we have on file for 1138046456437773871488000 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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