990249874334179200
990,249,874,334,179,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 990249874334179200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
990249874334179200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 990249874334179200:
27 × 32 × 52 × 73 × 103 × 9913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 103 × 991 × 991 × 991)See below for interesting mathematical facts about the number 990249874334179200 from the Numbermatics database.
Names of 990249874334179200
- Cardinal: 990249874334179200 can be written as Nine hundred ninety quadrillion, two hundred forty-nine trillion, eight hundred seventy-four billion, three hundred thirty-four million, one hundred seventy-nine thousand, two hundred.
Scientific notation
- Scientific notation: 9.902498743341792 × 1017
Factors of 990249874334179200
Divisors of 990249874334179200
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 103 105 112 120 126 128 140 144 147 150 160 168 175 180 192 196 200 206 210 224 225 240 245 252 280 288 294 300 309 315 320 336 343 350 360 384 392 400 412 420 441 448 450 480 490 504 515 525 560 576 588 600 618 630 640 672 686 700 720 721 735 784 800 824 840 882 896 900 927 960 980 991 1008 1029 1030 1050 1120 1152 1176 1200 1225 1236 1260 1344 1372 1400 1440 1442 1470 1545 1568 1575 1600 1648 1680 1715 1764 1800 1854 1920 1960 1982 2016 2058 2060 2100 2163 2205 2240 2352 2400 2450 2472 2520 2575 2688 2744 2800 2880 2884 2940 2973 3087 3090 3136 3150 3200 3296 3360 3430 3528 3600 3605 3675 3708 3920 3964 4032 4116 4120 4200 4326 4410 4480 4635 4704 4800 4900 4944 4955 5040 5047 5145 5150 5488 5600 5760 5768 5880 5946 6174 6180 6272 6300 6489 6592 6720 6860 6937 7056 7200 7210 7350 7416 7725 7840 7928 8064 8232 8240 8400 8575 8652 8820 8919 9270 9408 9600 9800 9888 9910 10080 10094 10290 10300 10815 10976 11025 11200 11536 11760 11892 12348 12360 12600 12978 13184 13440 13720 13874 14112 14400 14420 14700 14832 14865 15141 15435 15450 15680 15856 16464 16480 16800 17150 17304 17640 17838 18025 18540 18816 19600 19776 19820 20160 20188 20580 20600 20811 21630 21952 22050 22400 23072 23175 23520 23784 24696 24720 24775 25200 25235 25725 25956 27440 27748 28224 28800 28840 29400 29664 29730 30282 30870 30900 31360 31712 32445 32928 32960 33600 34300 34608 34685 35280 35329 35676 36050 37080 39200 39552 39640 40320 40376 41160 41200 41622 43260 43904 44100 44595 45423 46144 46350 47040 47568 48559 49392 49440 49550 50400 50470 51450 51912 54075 54880 55496 56448 57680 58800 59328 59460 60564 61740 61800 62433 63424 64890 65856 65920 67200 68600 69216 69370 70560 70658 71352 72100 74160 74325 75705 77175 78400 79280 80752 82320 82400 83244 86520 88200 89190 90846 92288 92700 94080 95136 97118 98784 98880 99100 100800 100940 102073 102900 103824 104055 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67363937029536 68671974641760 68767352384318 70170767739100 71374504420800 72175646817360 73679306126055 75109972264425 76302194046400 78591259867792 80117303748720 80195163130400 83270255157600 84204921286920 85839968302200 88415167351266 89818582706048 90219558521700 91562632855680 96140764498464 96234195756480 98102820916800 98239074834740 99924306189120 100146629685900 101045905544304 103151028576477 105256151608650 106823071664960 111027006876800 112273228382560 114453291069600 115481034907776 117886889801688 120175955623080 120292744695600 122798843543425 124905382736400 126307381930380 128187685997952 133528839581200 134727874059072 137343949283520 137534704768636 140341535478200 142749008841600 144351293634720 147358612252110 150219944528850 152604388092800 157182519735584 157884227412975 160234607497440 160390326260800 166540510315200 168409842573840 171679936604400 171918380960795 176830334702532 180439117043400 192281528996928 192468391512960 196205641833600 196478149669480 199848612378240 200293259371800 202091811088608 206302057152954 210512303217300 213646143329920 221037918378165 224546456765120 228906582139200 235773779603376 240351911246160 240585489391200 245597687086850 249810765472800 252614763860760 267057679162400 269455748118144 274687898567040 275069409537272 280683070956400 288702587269440 294717224504220 300439889057700 309453085729431 314365039471168 315768454825950 320469214994880 320780652521600 333081020630400 336819685147680 343359873208800 343836761921590 353660669405064 360878234086800 368396530630275 384563057993856 392956299338960 400586518743600 404183622177216 412604114305908 421024606434600 442075836756330 449092913530240 457813164278400 471547559206752 480703822492320 481170978782400 491195374173700 499621530945600 505229527721520 515755142882385 534115358324800 550138819074544 561366141912800 577405174538880 589434449008440 600879778115400 618906171458862 628730078942336 631536909651900 640938429989760 673639370295360 686719746417600 687673523843180 707321338810128 721756468173600 736793061260550 785912598677920 801173037487200 808367244354432 825208228611816 842049212869200 859591904803975 884151673512660 943095118413504 961407644984640 962341957564800 982390748347400 999243061891200 1010459055443040 1031510285764770 1068230716649600 1100277638149088 1105189591890825 1122732283825600 1178868898016880 1201759556230800 1237812342917724 1263073819303800 1347278740590720 1373439492835200 1375347047686360 1414642677620256 1443512936347200 1473586122521100 1547265428647155 1571825197355840 1602346074974400 1650416457223632 1684098425738400 1719183809607950 1768303347025320 1886190236827008 1922815289969280 1964781496694800 2020918110886080 2063020571529540 2200555276298176 2210379183781650 2245464567651200 2357737796033760 2403519112461600 2475624685835448 2526147638607600 2578775714411925 2750694095372720 2829285355240512 2887025872694400 2947172245042200 3094530857294310 3143650394711680 3204692149948800 3300832914447264 3368196851476800 3438367619215900 3536606694050640 3929562993389600 4041836221772160 4126041143059080 4401110552596352 4420758367563300 4715475592067520 4807038224923200 4951249371670896 5052295277215200 5157551428823850 5501388190745440 5658570710481024 5894344490084400 6189061714588620 6601665828894528 6736393702953600 6876735238431800 7073213388101280 7736327143235775 7859125986779200 8252082286118160 8841516735126600 9430951184135040 9614076449846400 9902498743341792 10104590554430400 10315102857647700 11002776381490880 11788688980168800 12378123429177240 13203331657789056 13753470476863600 14146426776202560 15472654286471550 15718251973558400 16504164572236320 17683033470253200 19804997486683584 20209181108860800 20630205715295400 22005552762981760 23577377960337600 24756246858354480 27506940953727200 28292853552405120 30945308572943100 33008329144472640 35366066940506400 39609994973367168 41260411430590800 47154755920675200 49512493716708960 55013881907454400 61890617145886200 66016658288945280 70732133881012800 82520822861181600 99024987433417920 110027763814908800 123781234291772400 141464267762025600 165041645722363200 198049974866835840 247562468583544800 330083291444726400 495124937167089600 990249874334179200
- Sum of all divisors σ(n): 4164836727008256000
- Sum of proper divisors (its aliquot sum) s(n): 3174586852674076800
- 990249874334179200 is an abundant number, because the sum of its proper divisors (3174586852674076800) is greater than itself. Its abundance is 2184336978339897600
Bases of 990249874334179200
- Binary: 1101101111100001001100000011100111101001000001011111100000002
- Hexadecimal: 0xDBE13039E905F80
- Base-36: 7IUEA83OHCW0
Squares and roots of 990249874334179200
- 990249874334179200 squared (9902498743341792002) is 980594813618857697498517337712640000
- 990249874334179200 cubed (9902498743341792003) is 971033890958821709311135879120653733310299865088000000
-
The
square root of 990249874334179200 is 995112995.7618778883 -
The
cube root of 990249874334179200 is 996739.3377487747
Scales and comparisons
How big is 990249874334179200?- 990,249,874,334,179,200 seconds is equal to 31,486,882,959 years, 44 weeks, 2 days, 8 hours.
-
To count from 1 to 990,249,874,334,179,200 would take you about ninety-four billion, four hundred sixty million, six hundred forty-eight thousand, eight hundred seventy-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 990249874334179200 cubic inches would be around 83061.6 feet tall.
Recreational maths with 990249874334179200
- 990249874334179200 backwards is 002971433478942099
- The number of decimal digits it has is: 18
- The sum of 990249874334179200's digits is 81
- More coming soon!
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"Number 990249874334179200 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 990249874334179200 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/990249874334179200/
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The information we have on file for 990249874334179200 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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