3828040536496867200
3,828,040,536,496,867,200 is an even composite number composed of six prime numbers multiplied together.
3828040536496867200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 3828040536496867200:
27 × 33 × 52 × 29 × 367 × 4162926311
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 29 × 367 × 4162926311)See below for interesting mathematical facts about the number 3828040536496867200 from the Numbermatics database.
Names of 3828040536496867200
- Cardinal: 3828040536496867200 can be written as Three quintillion, eight hundred twenty-eight quadrillion, forty trillion, five hundred thirty-six billion, four hundred ninety-six million, eight hundred sixty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 3.8280405364968672 × 1018
Factors of 3828040536496867200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 4162926717
Divisors of 3828040536496867200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 64 72 75 80 87 90 96 100 108 116 120 128 135 144 145 150 160 174 180 192 200 216 225 232 240 261 270 288 290 300 320 348 360 367 384 400 432 435 450 464 480 522 540 576 580 600 640 675 696 720 725 734 783 800 864 870 900 928 960 1044 1080 1101 1152 1160 1200 1305 1350 1392 1440 1450 1468 1566 1600 1728 1740 1800 1835 1856 1920 2088 2160 2175 2202 2320 2400 2610 2700 2784 2880 2900 2936 3132 3200 3303 3456 3480 3600 3670 3712 3915 4176 4320 4350 4404 4640 4800 5220 5400 5505 5568 5760 5800 5872 6264 6525 6606 6960 7200 7340 7830 8352 8640 8700 8808 9175 9280 9600 9909 10440 10643 10800 11010 11136 11600 11744 12528 13050 13212 13920 14400 14680 15660 16515 16704 17280 17400 17616 18350 18560 19575 19818 20880 21286 21600 22020 23200 23488 25056 26100 26424 27525 27840 28800 29360 31320 31929 33030 33408 34800 35232 36700 39150 39636 41760 42572 43200 44040 46400 46976 49545 50112 52200 52848 53215 55050 55680 58720 62640 63858 66060 69600 70464 73400 78300 79272 82575 83520 85144 86400 88080 92800 95787 99090 100224 104400 105696 106430 110100 117440 125280 127716 132120 139200 140928 146800 156600 158544 159645 165150 167040 170288 176160 191574 198180 208800 211392 212860 220200 234880 247725 250560 255432 264240 266075 278400 287361 293600 313200 317088 319290 330300 340576 352320 383148 396360 417600 422784 425720 440400 478935 495450 501120 510864 528480 532150 574722 587200 626400 634176 638580 660600 681152 704640 766296 792720 798225 835200 851440 880800 957870 990900 1021728 1056960 1064300 1149444 1174400 1252800 1268352 1277160 1321200 1362304 1436805 1532592 1585440 1596450 1702880 1761600 1915740 1981800 2043456 2113920 2128600 2298888 2394675 2505600 2554320 2642400 2873610 3065184 3170880 3192900 3405760 3523200 3831480 3963600 4086912 4257200 4597776 4789350 5108640 5284800 5747220 6130368 6341760 6385800 6811520 7184025 7662960 7927200 8514400 9195552 9578700 10217280 10569600 11494440 12260736 12771600 14368050 15325920 15854400 17028800 18391104 19157400 20434560 22988880 25543200 28736100 30651840 31708800 34057600 36782208 38314800 45977760 51086400 57472200 61303680 76629600 91955520 102172800 114944400 153259200 183911040 229888800 306518400 459777600 919555200 4162926311 8325852622 12488778933 16651705244 20814631555 24977557866 33303410488 37466336799 41629263110 49955115732 62443894665 66606820976 74932673598 83258526220 99910231464 104073157775 112399010397 120724863019 124887789330 133213641952 149865347196 166517052440 187331683995 199820462928 208146315550 224798020794 241449726038 249775578660 266427283904 299730694392 312219473325 333034104880 362174589057 374663367990 399640925856 416292631100 449596041588 482899452076 499551157320 532854567808 561995051985 599461388784 603624315095 624438946650 666068209760 724349178114 749326735980 799281851712 832585262200 899192083176 936658419975 965798904152 999102314640 1086523767171 1123990103970 1198922777568 1207248630190 1248877893300 1332136419520 1448698356228 1498653471960 1527793956137 1598563703424 1665170524400 1798384166352 1810872945285 1873316839950 1931597808304 1998204629280 2173047534342 2247980207940 2397845555136 2414497260380 2497755786600 2664272839040 2809975259925 2897396712456 2997306943920 3018121575475 3055587912274 3259571301513 3330341048800 3596768332704 3621745890570 3746633679900 3863195616608 3996409258560 4346095068684 4495960415880 4583381868411 4795691110272 4828994520760 4995511573200 5432618835855 5619950519850 5794793424912 5994613887840 6036243150950 6111175824548 6519142603026 6660682097600 7193536665408 7243491781140 7493267359800 7638969780685 7726391233216 7992818517120 8692190137368 8991920831760 9054364726425 9166763736822 9657989041520 9991023146400 10865237671710 11239901039700 11589586849824 11989227775680 12072486301900 12222351649096 13038285206052 13321364195200 13750145605233 14387073330816 14486983562280 14986534719600 15277939561370 15452782466432 16297856507565 17384380274736 17983841663520 18108729452850 18333527473644 19315978083040 19982046292800 21730475343420 22479802079400 22916909342055 23179173699648 23978455551360 24144972603800 24444703298192 26076570412104 27163094179275 27500291210466 28973967124560 29973069439200 30555879122740 32595713015130 34768760549472 35967683327040 36217458905700 36667054947288 38194848903425 38631956166080 39964092585600 41250436815699 43460950686840 44306024727973 44959604158800 45833818684110 46358347399296 48289945207600 48889406596384 52153140824208 54326188358550 55000582420932 57947934249120 59946138878400 61111758245480 65191426030260 68750728026165 69537521098944 71935366654080 72434917811400 73334109894576 76389697806850 77263912332160 81489282537825 82500873631398 86921901373680 88612049455946 89919208317600 91667637368220 96579890415200 97778813192768 104306281648416 108652376717100 110001164841864 114584546710275 115895868498240 119892277756800 122223516490960 130382852060520 132918074183919 137501456052330 139075042197888 144869835622800 146668219789152 152779395613700 162978565075650 165001747262796 173843802747360 177224098911892 179838416635200 183335274736440 193159780830400 195557626385536 206252184078495 208612563296832 217304753434200 220002329683728 221530123639865 229169093420550 231791736996480 244447032981920 260765704121040 265836148367838 275002912104660 289739671245600 293336439578304 305558791227400 325957130151300 330003494525592 343753640130825 347687605494720 354448197823784 359676833270400 366670549472880 386319561660800 398754222551757 412504368156990 417225126593664 434609506868400 440004659367456 443060247279730 458338186841100 488894065963840 521531408242080 531672296735676 550005824209320 579479342491200 586672879156608 611117582454800 651914260302600 660006989051184 664590370919595 687507280261650 695375210989440 708896395647568 733341098945760 797508445103514 825008736313980 869219013736800 880009318734912 886120494559460 916676373682200 977788131927680 1031260920392475 1043062816484160 1063344593471352 1100011648418640 1107650618199325 1158958684982400 1196262667655271 1222235164909600 1303828520605200 1320013978102368 1329180741839190 1375014560523300 1417792791295136 1466682197891520 1595016890207028 1650017472627960 1738438027473600 1760018637469824 1772240989118920 1833352747364400 1993771112758785 2062521840784950 2086125632968320 2126689186942704 2200023296837280 2215301236398650 2392525335310542 2444470329819200 2607657041210400 2640027956204736 2658361483678380 2750029121046600 2835585582590272 2933364395783040 3190033780414056 3300034945255920 3322951854597975 3476876054947200 3544481978237840 3666705494728800 3987542225517570 4125043681569900 4253378373885408 4400046593674560 4430602472797300 4785050670621084 4888940659638400 5215314082420800 5280055912409472 5316722967356760 5500058242093200 5671171165180544 5981313338276355 6380067560828112 6600069890511840 6645903709195950 7088963956475680 7333410989457600 7975084451035140 8250087363139800 8506756747770816 8800093187349120 8861204945594600 9570101341242168 9968855563793925 10430628164841600 10633445934713520 11000116484186400 11962626676552710 12760135121656224 13200139781023680 13291807418391900 14177927912951360 14666821978915200 15950168902070280 16500174726279600 17013513495541632 17722409891189200 19140202682484336 19937711127587850 21266891869427040 22000232968372800 23925253353105420 25520270243312448 26400279562047360 26583614836783800 28355855825902720 29906566691381775 31900337804140560 33000349452559200 35444819782378400 38280405364968672 39875422255175700 42533783738854080 44000465936745600 47850506706210840 51040540486624896 53167229673567600 59813133382763550 63800675608281120 66000698905118400 70889639564756800 76560810729937344 79750844510351400 85067567477708160 95701013412421680 106334459347135200 119626266765527100 127601351216562240 132001397810236800 141779279129513600 153121621459874688 159501689020702800 191402026824843360 212668918694270400 239252533531054200 255202702433124480 319003378041405600 382804053649686720 425337837388540800 478505067062108400 638006756082811200 765608107299373440 957010134124216800 1276013512165622400 1914020268248433600 3828040536496867200
- Sum of all divisors σ(n): 14532142990392576000
- Sum of proper divisors (its aliquot sum) s(n): 10704102453895708800
- 3828040536496867200 is an abundant number, because the sum of its proper divisors (10704102453895708800) is greater than itself. Its abundance is 6876061917398841600
Bases of 3828040536496867200
- Binary: 110101000111111110111010010110000010111011000100000111100000002
- Hexadecimal: 0x351FEE960BB10780
- Base-36: T30F490WIQO0
Squares and roots of 3828040536496867200
- 3828040536496867200 squared (38280405364968672002) is 14653894349063222861464515414435840000
- 3828040536496867200 cubed (38280405364968672003) is 56095701585756390194802943498209096764537815400448000000
-
The
square root of 3828040536496867200 is 1956537895.4921540697 -
The
cube root of 3828040536496867200 is 1564319.6812335707
Scales and comparisons
How big is 3828040536496867200?- 3,828,040,536,496,867,200 seconds is equal to 121,719,848,153 years, 40 weeks, 1 day.
-
To count from 1 to 3,828,040,536,496,867,200 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 3828040536496867200 cubic inches would be around 130360 feet tall.
Recreational maths with 3828040536496867200
- 3828040536496867200 backwards is 0027686946350408283
- The number of decimal digits it has is: 19
- The sum of 3828040536496867200's digits is 81
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 3828040536496867200 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
APA style:
Numbermatics. (2024). Number 3828040536496867200 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/3828040536496867200/
Chicago style:
Numbermatics. 2024. "Number 3828040536496867200 - Facts about the integer". https://numbermatics.com/n/3828040536496867200/
The information we have on file for 3828040536496867200 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 3828040536496867200, math, Factors of 3828040536496867200, curriculum, school, college, exams, university, Prime factorization of 3828040536496867200, STEM, science, technology, engineering, physics, economics, calculator, three quintillion, eight hundred twenty-eight quadrillion, forty trillion, five hundred thirty-six billion, four hundred ninety-six million, eight hundred sixty-seven thousand, two hundred.