138241464259464000
138,241,464,259,464,000 is an even composite number composed of five prime numbers multiplied together.
138241464259464000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 138241464259464000:
26 × 314 × 53 × 17 × 4612
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 461 × 461)See below for interesting mathematical facts about the number 138241464259464000 from the Numbermatics database.
Names of 138241464259464000
- Cardinal: 138241464259464000 can be written as One hundred thirty-eight quadrillion, two hundred forty-one trillion, four hundred sixty-four billion, two hundred fifty-nine million, four hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.38241464259464 × 1017
Factors of 138241464259464000
Divisors of 138241464259464000
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 81 85 90 96 100 102 108 120 125 135 136 144 150 153 160 162 170 180 192 200 204 216 225 240 243 250 255 270 272 288 300 306 320 324 340 360 375 400 405 408 425 432 450 459 461 480 486 500 510 540 544 576 600 612 648 675 680 720 729 750 765 800 810 816 850 864 900 918 922 960 972 1000 1020 1080 1088 1125 1200 1215 1224 1275 1296 1350 1360 1377 1383 1440 1458 1500 1530 1600 1620 1632 1700 1728 1800 1836 1844 1944 2000 2025 2040 2125 2160 2187 2250 2295 2305 2400 2430 2448 2550 2592 2700 2720 2754 2766 2880 2916 3000 3060 3240 3264 3375 3400 3600 3645 3672 3688 3825 3888 4000 4050 4080 4131 4149 4250 4320 4374 4500 4590 4610 4800 4860 4896 5100 5184 5400 5440 5508 5532 5832 6000 6075 6120 6375 6480 6561 6750 6800 6885 6915 7200 7290 7344 7376 7650 7776 7837 8000 8100 8160 8262 8298 8500 8640 8748 9000 9180 9220 9720 9792 10125 10200 10800 10935 11016 11064 11475 11525 11664 12000 12150 12240 12393 12447 12750 12960 13122 13500 13600 13770 13830 14400 14580 14688 14752 15300 15552 15674 16200 16320 16524 16596 17000 17496 18000 18225 18360 18440 19125 19440 19683 20250 20400 20655 20745 21600 21870 22032 22128 22950 23050 23328 23511 24000 24300 24480 24786 24894 25500 25920 26244 27000 27200 27540 27660 29160 29376 29504 30375 30600 31348 32400 32805 33048 33192 34000 34425 34575 34992 36000 36450 36720 36880 37179 37341 38250 38880 39185 39366 40500 40800 41310 41490 43200 43740 44064 44256 45900 46100 46656 47022 48600 48960 49572 49788 51000 52488 54000 54675 55080 55320 57375 57625 58320 59049 60750 61200 61965 62235 62696 64800 65610 66096 66384 68000 68850 69150 69984 70533 72000 72900 73440 73760 74358 74682 76500 77760 78370 78732 81000 81600 82620 82980 87480 88128 88512 91125 91800 92200 94044 97200 98415 99144 99576 102000 103275 103725 104976 108000 109350 110160 110640 111537 112023 114750 115250 116640 117555 118098 121500 122400 123930 124470 125392 129600 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1673220337200 1694135591415 1706684743944 1755848502000 1763958967200 1777796608275 1807077964176 1851068052000 1859133708000 1874206402650 1882372879350 1896316382160 1920020336937 1959954408000 1975329564750 1999153496160 2007864404640 2032962709698 2082451558500 2091525421500 2107018202400 2133355929930 2204948709000 2221281662400 2230960449600 2258847455220 2275579658592 2341131336000 2370395477700 2398984195392 2409437285568 2498941870200 2509830505800 2528421842880 2560027115916 2633772753000 2710616946264 2776602078000 2788700562000 2823559319025 2844474573240 2939931612000 2962994347125 2998730244240 3011796606960 3123677337750 3137288132250 3160527303600 3200033894895 3331922493600 3346440674400 3388271182830 3413369487888 3511697004000 3527917934400 3555593216550 3614155928352 3702136104000 3718267416000 3748412805300 3764745758700 3792632764320 3840040673874 3950659129500 3998306992320 4015728809280 4065925419396 4164903117000 4183050843000 4214036404800 4266711859860 4409897418000 4517694910440 4551159317184 4685516006625 4705932198375 4740790955400 4997883740400 5019661011600 5082406774245 5120054231832 5267545506000 5333389824825 5421233892528 5553204156000 5577401124000 5647118638050 5688949146480 5760061010811 5879863224000 5925988694250 5997460488480 6023593213920 6247354675500 6274576264500 6321054607200 6400067789790 6663844987200 6692881348800 6776542365660 6826738975776 7023394008000 7111186433100 7228311856704 7496825610600 7529491517400 7585265528640 7680081347748 7901318259000 8131850838792 8329806234000 8366101686000 8470677957075 8533423719720 8819794836000 8888983041375 9035389820880 9371032013250 9411864396750 9481581910800 9600101684685 9995767480800 10039322023200 10164813548490 10240108463664 10535091012000 10666779649650 10842467785056 11106408312000 11154802248000 11294237276100 11377898292960 11520122021622 11851977388500 11994920976960 12047186427840 12494709351000 12549152529000 12642109214400 12800135579580 13553084731320 13653477951552 14117796595125 14222372866200 14993651221200 15058983034800 15360162695496 15802636518000 16000169474475 16263701677584 16659612468000 16732203372000 16941355914150 17066847439440 17280183032433 17639589672000 17777966082750 18070779641760 18742064026500 18823728793500 18963163821600 19200203369370 19991534961600 20078644046400 20329627096980 20480216927328 21070182024000 21333559299300 21684935570112 22588474552200 22755796585920 23040244043244 23703954777000 24989418702000 25098305058000 25412033871225 25600271159160 26666949124125 27106169462640 28235593190250 28444745732400 28800305054055 29987302442400 30117966069600 30720325390992 31605273036000 32000338948950 32527403355168 33319224936000 33464406744000 33882711828300 34133694878880 34560366064866 35555932165500 36141559283520 37484128053000 37647457587000 37926327643200 38400406738740 40659254193960 40960433854656 42353389785375 42667118598600 45176949104400 46080488086488 47407909554000 48000508423425 49978837404000 50196610116000 50824067742450 51200542318320 53333898248250 54212338925280 56471186380500 56889491464800 57600610108110 59974604884800 60235932139200 61440650781984 63210546072000 64000677897900 65054806710336 67765423656600 68267389757760 69120732129732 71111864331000 74968256106000 75294915174000 76800813477480 80000847372375 81318508387920 84706779570750 85334237197200 86400915162165 90353898208800 92160976172976 94815819108000 96001016846850 99957674808000 100393220232000 101648135484900 102401084636640 106667796496500 108424677850560 112942372761000 113778982929600 115201220216220 122881301563968 127060169356125 128001355795800 135530847313200 138241464259464 142223728662000 144001525270275 149936512212000 150589830348000 153601626954960 160001694744750 162637016775840 169413559141500 170668474394400 172801830324330 180707796417600 184321952345952 189631638216000 192002033693700 203296270969800 204802169273280 213335592993000 225884745522000 230402440432440 240002542117125 254120338712250 256002711591600 271061694626400 276482928518928 284447457324000 288003050540550 299873024424000 301179660696000 307203253909920 320003389489500 325274033551680 338827118283000 341336948788800 345603660648660 368643904691904 384004067387400 406592541939600 426671185986000 432004575810825 451769491044000 460804880864880 480005084234250 508240677424500 512005423183200 542123389252800 552965857037856 568894914648000 576006101081100 614406507819840 640006778979000 677654236566000 691207321297320 720007626351375 768008134774800 813185083879200 853342371972000 864009151621650 903538982088000 921609761729760 960010168468500 1016481354849000 1024010846366400 1105931714075712 1152012202162200 1280013557958000 1355308473132000 1382414642594640 1440015252702750 1536016269549600 1626370167758400 1706684743944000 1728018303243300 1843219523459520 1920020336937000 2032962709698000 2160022879054125 2304024404324400 2560027115916000 2710616946264000 2764829285189280 2880030505405500 3072032539099200 3456036606486600 3840040673874000 4065925419396000 4320045758108250 4608048808648800 5120054231832000 5529658570378560 5760061010811000 6912073212973200 7680081347748000 8131850838792000 8640091516216500 9216097617297600 11520122021622000 13824146425946400 15360162695496000 17280183032433000 23040244043244000 27648292851892800 34560366064866000 46080488086488000 69120732129732000 138241464259464000
- Sum of all divisors σ(n): 544922272792796184
- Sum of proper divisors (its aliquot sum) s(n): 406680808533332184
- 138241464259464000 is an abundant number, because the sum of its proper divisors (406680808533332184) is greater than itself. Its abundance is 268439344273868184
Bases of 138241464259464000
- Binary: 1111010110010000111100001000110100110101001001011010000002
- Hexadecimal: 0x1EB21E11A6A4B40
- Base-36: 11T6IBYB9000
Squares and roots of 138241464259464000
- 138241464259464000 squared (1382414642594640002) is 19110702440600662497913567296000000
- 138241464259464000 cubed (1382414642594640003) is 2641891488415547921129478782820207168889344000000000
-
The
square root of 138241464259464000 is 371808370.3461556015 -
The
cube root of 138241464259464000 is 517066.1512096465
Scales and comparisons
How big is 138241464259464000?- 138,241,464,259,464,000 seconds is equal to 4,395,650,954 years, 27 weeks, 2 days, 12 hours.
-
To count from 1 to 138,241,464,259,464,000 would take you about thirteen billion, one hundred eighty-six million, nine hundred fifty-two thousand, eight hundred sixty-three 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 138241464259464000 cubic inches would be around 43088.8 feet tall.
Recreational maths with 138241464259464000
- 138241464259464000 backwards is 000464952464142831
- The number of decimal digits it has is: 18
- The sum of 138241464259464000's digits is 63
- More coming soon!
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"Number 138241464259464000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138241464259464000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138241464259464000/
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The information we have on file for 138241464259464000 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 138241464259464000, math, Factors of 138241464259464000, curriculum, school, college, exams, university, Prime factorization of 138241464259464000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred forty-one trillion, four hundred sixty-four billion, two hundred fifty-nine million, four hundred sixty-four thousand.