122089739104129536000
122,089,739,104,129,536,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 122089739104129536000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 624 divisors.
122089739104129536000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 122089739104129536000:
212 × 32 × 53 × 743 × 35659716119
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 743 × 35659716119)See below for interesting mathematical facts about the number 122089739104129536000 from the Numbermatics database.
Names of 122089739104129536000
- Cardinal: 122089739104129536000 can be written as One hundred twenty-two quintillion, eighty-nine quadrillion, seven hundred thirty-nine trillion, one hundred four billion, one hundred twenty-nine million, five hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.22089739104129536 × 1020
Factors of 122089739104129536000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 19
- Sum of prime factors: 35659716872
Divisors of 122089739104129536000
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 128 144 150 160 180 192 200 225 240 250 256 288 300 320 360 375 384 400 450 480 500 512 576 600 640 720 743 750 768 800 900 960 1000 1024 1125 1152 1200 1280 1440 1486 1500 1536 1600 1800 1920 2000 2048 2229 2250 2304 2400 2560 2880 2972 3000 3072 3200 3600 3715 3840 4000 4096 4458 4500 4608 4800 5120 5760 5944 6000 6144 6400 6687 7200 7430 7680 8000 8916 9000 9216 9600 10240 11145 11520 11888 12000 12288 12800 13374 14400 14860 15360 16000 17832 18000 18432 18575 19200 20480 22290 23040 23776 24000 25600 26748 28800 29720 30720 32000 33435 35664 36000 36864 37150 38400 44580 46080 47552 48000 51200 53496 55725 57600 59440 61440 64000 66870 71328 72000 74300 76800 89160 92160 92875 95104 96000 102400 106992 111450 115200 118880 128000 133740 142656 144000 148600 153600 167175 178320 184320 185750 190208 192000 213984 222900 230400 237760 256000 267480 278625 285312 288000 297200 307200 334350 356640 371500 380416 384000 427968 445800 460800 475520 512000 534960 557250 570624 576000 594400 668700 713280 743000 760832 768000 835875 855936 891600 921600 951040 1069920 1114500 1141248 1152000 1188800 1337400 1426560 1486000 1521664 1536000 1671750 1711872 1783200 1902080 2139840 2229000 2282496 2304000 2377600 2674800 2853120 2972000 3043328 3343500 3423744 3566400 3804160 4279680 4458000 4564992 4608000 4755200 5349600 5706240 5944000 6687000 6847488 7132800 7608320 8559360 8916000 9129984 9510400 10699200 11412480 11888000 13374000 13694976 14265600 15216640 17118720 17832000 19020800 21398400 22824960 23776000 26748000 27389952 28531200 34237440 35664000 38041600 42796800 45649920 47552000 53496000 57062400 68474880 71328000 76083200 85593600 95104000 106992000 114124800 136949760 142656000 171187200 190208000 213984000 228249600 285312000 342374400 380416000 427968000 570624000 684748800 855936000 1141248000 1711872000 3423744000 35659716119 71319432238 106979148357 142638864476 178298580595 213958296714 285277728952 320937445071 356597161190 427916593428 534895741785 570555457904 641874890142 713194322380 855833186856 891492902975 1069791483570 1141110915808 1283749780284 1426388644760 1604687225355 1711666373712 1782985805950 2139582967140 2282221831616 2567499560568 2674478708925 2852777289520 3209374450710 3423332747424 3565971611900 4279165934280 4457464514875 4564443663232 5134999121136 5348957417850 5705554579040 6418748901420 6846665494848 7131943223800 8023436126775 8558331868560 8914929029750 9128887326464 10269998242272 10697914835700 11411109158080 12837497802840 13372393544625 13693330989696 14263886447600 16046872253550 17116663737120 17829858059500 18257774652928 20539996484544 21395829671400 22822218316160 25674995605680 26495169076417 26744787089250 27386661979392 28527772895200 32093744507100 34233327474240 35659716119000 36515549305856 40117180633875 41079992969088 42791659342800 45644436632320 51349991211360 52990338152834 53489574178500 54773323958784 57055545790400 64187489014200 68466654948480 71319432238000 73031098611712 79485507229251 80234361267750 82159985938176 85583318685600 91288873264640 102699982422720 105980676305668 106979148357000 109546647917568 114111091580800 128374978028400 132475845382085 136933309896960 142638864476000 146062197223424 158971014458502 160468722535500 164319971876352 171166637371200 182577746529280 205399964845440 211961352611336 213958296714000 219093295835136 228222183161600 238456521687753 256749956056800 264951690764170 273866619793920 285277728952000 317942028917004 320937445071000 328639943752704 342333274742400 365155493058560 397427536146255 410799929690880 423922705222672 427916593428000 438186591670272 456444366323200 476913043375506 513499912113600 529903381528340 547733239587840 570555457904000 635884057834008 641874890142000 657279887505408 662379226910425 684666549484800 730310986117120 794855072292510 821599859381760 847845410445344 855833186856000 912888732646400 953826086751012 1026999824227200 1059806763056680 1095466479175680 1141110915808000 1192282608438765 1271768115668016 1283749780284000 1314559775010816 1324758453820850 1369333098969600 1589710144585020 1643199718763520 1695690820890688 1711666373712000 1825777465292800 1907652173502024 1987137680731275 2053999648454400 2119613526113360 2190932958351360 2282221831616000 2384565216877530 2543536231336032 2567499560568000 2649516907641700 2738666197939200 3179420289170040 3286399437527040 3311896134552125 3391381641781376 3423332747424000 3651554930585600 3815304347004048 3974275361462550 4107999296908800 4239227052226720 4564443663232000 4769130433755060 5087072462672064 5134999121136000 5299033815283400 5477332395878400 5961413042193825 6358840578340080 6572798875054080 6623792269104250 6782763283562752 6846665494848000 7630608694008096 7948550722925100 8215998593817600 8478454104453440 9128887326464000 9538260867510120 9935688403656375 10174144925344128 10269998242272000 10598067630566800 10954664791756800 11922826084387650 12717681156680160 13247584538208500 13565526567125504 13693330989696000 15261217388016192 15897101445850200 16431997187635200 16956908208906880 18257774652928000 19076521735020240 19871376807312750 20348289850688256 20539996484544000 21196135261133600 23845652168775300 25435362313360320 26495169076417000 27131053134251008 27386661979392000 29807065210969125 30522434776032384 31794202891700400 32863994375270400 33913816417813760 38153043470040480 39742753614625500 40696579701376512 41079992969088000 42392270522267200 47691304337550600 50870724626720640 52990338152834000 54262106268502016 54773323958784000 59614130421938250 61044869552064768 63588405783400800 67827632835627520 76306086940080960 79485507229251000 81393159402753024 82159985938176000 84784541044534400 95382608675101200 101741449253441280 105980676305668000 108524212537004032 119228260843876500 122089739104129536 127176811566801600 135655265671255040 152612173880161920 158971014458502000 162786318805506048 164319971876352000 169569082089068800 190765217350202400 203482898506882560 211961352611336000 238456521687753000 244179478208259072 254353623133603200 271310531342510080 305224347760323840 317942028917004000 325572637611012096 339138164178137600 381530434700404800 406965797013765120 423922705222672000 476913043375506000 488358956416518144 508707246267206400 542621062685020160 610448695520647680 635884057834008000 678276328356275200 763060869400809600 813931594027530240 847845410445344000 953826086751012000 976717912833036288 1017414492534412800 1220897391041295360 1271768115668016000 1356552656712550400 1526121738801619200 1627863188055060480 1695690820890688000 1907652173502024000 2034828985068825600 2441794782082590720 2543536231336032000 2713105313425100800 3052243477603238400 3391381641781376000 3815304347004048000 4069657970137651200 4883589564165181440 5087072462672064000 6104486955206476800 6782763283562752000 7630608694008096000 8139315940275302400 10174144925344128000 12208973910412953600 13565526567125504000 15261217388016192000 20348289850688256000 24417947820825907200 30522434776032384000 40696579701376512000 61044869552064768000 122089739104129536000
- Sum of all divisors σ(n): 440712829813594141440
- Sum of proper divisors (its aliquot sum) s(n): 318623090709464605440
- 122089739104129536000 is an abundant number, because the sum of its proper divisors (318623090709464605440) is greater than itself. Its abundance is 196533351605335069440
Bases of 122089739104129536000
- Binary: 11010011110010101011110001011011011001001011100001001010000000000002
- Hexadecimal: 0x69E55E2DB25C25000
- Base-36: PRKWGI31H8U80
Squares and roots of 122089739104129536000
- 122089739104129536000 squared (1220897391041295360002) is 14905904394514416755705168267575296000000
- 122089739104129536000 cubed (1220897391041295360003) is 1819857978637363081702417916821554575992283417542656000000000
-
The
square root of 122089739104129536000 is 11049422568.8100794981 -
The
cube root of 122089739104129536000 is 4960891.4227700503
Scales and comparisons
How big is 122089739104129536000?- 122,089,739,104,129,536,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 122,089,739,104,129,536,000 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 122089739104129536000 cubic inches would be around 413407.6 feet tall.
Recreational maths with 122089739104129536000
- 122089739104129536000 backwards is 000635921401937980221
- 122089739104129536000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 122089739104129536000's digits is 72
- More coming soon!
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The information we have on file for 122089739104129536000 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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