122955389647388928000
122,955,389,647,388,928,000 is an even composite number composed of six prime numbers multiplied together.
122955389647388928000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 122955389647388928000:
211 × 33 × 53 × 7 × 557 × 4562371081
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 557 × 4562371081)See below for interesting mathematical facts about the number 122955389647388928000 from the Numbermatics database.
Names of 122955389647388928000
- Cardinal: 122955389647388928000 can be written as One hundred twenty-two quintillion, nine hundred fifty-five quadrillion, three hundred eighty-nine trillion, six hundred forty-seven billion, three hundred eighty-eight million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.22955389647388928 × 1020
Factors of 122955389647388928000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 20
- Sum of prime factors: 4562371655
Divisors of 122955389647388928000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 250 252 256 270 280 288 300 315 320 336 350 360 375 378 384 400 420 432 448 450 480 500 504 512 525 540 557 560 576 600 630 640 672 675 700 720 750 756 768 800 840 864 875 896 900 945 960 1000 1008 1024 1050 1080 1114 1120 1125 1152 1200 1260 1280 1344 1350 1400 1440 1500 1512 1536 1575 1600 1671 1680 1728 1750 1792 1800 1890 1920 2000 2016 2048 2100 2160 2228 2240 2250 2304 2400 2520 2560 2625 2688 2700 2785 2800 2880 3000 3024 3072 3150 3200 3342 3360 3375 3456 3500 3584 3600 3780 3840 3899 4000 4032 4200 4320 4456 4480 4500 4608 4725 4800 5013 5040 5120 5250 5376 5400 5570 5600 5760 6000 6048 6144 6300 6400 6684 6720 6750 6912 7000 7168 7200 7560 7680 7798 7875 8000 8064 8355 8400 8640 8912 8960 9000 9216 9450 9600 10026 10080 10240 10500 10752 10800 11140 11200 11520 11697 12000 12096 12600 12800 13368 13440 13500 13824 13925 14000 14336 14400 15039 15120 15360 15596 15750 16000 16128 16710 16800 17280 17824 17920 18000 18432 18900 19200 19495 20052 20160 21000 21504 21600 22280 22400 23040 23394 23625 24000 24192 25065 25200 25600 26736 26880 27000 27648 27850 28000 28800 30078 30240 30720 31192 31500 32000 32256 33420 33600 34560 35091 35648 35840 36000 37800 38400 38990 40104 40320 41775 42000 43008 43200 44560 44800 46080 46788 47250 48000 48384 50130 50400 51200 53472 53760 54000 55296 55700 56000 57600 58485 60156 60480 62384 63000 64000 64512 66840 67200 69120 69625 70182 71296 71680 72000 75195 75600 76800 77980 80208 80640 83550 84000 86400 89120 89600 92160 93576 94500 96000 96768 97475 100260 100800 105273 106944 107520 108000 111400 112000 115200 116970 120312 120960 124768 125325 126000 128000 129024 133680 134400 138240 139250 140364 142592 144000 150390 151200 153600 155960 160416 161280 167100 168000 172800 175455 178240 179200 187152 189000 192000 193536 194950 200520 201600 208875 210546 213888 215040 216000 222800 224000 230400 233940 240624 241920 249536 250650 252000 256000 267360 268800 276480 278500 280728 285184 288000 292425 300780 302400 311920 320832 322560 334200 336000 345600 350910 356480 358400 374304 375975 378000 384000 387072 389900 401040 403200 417750 421092 427776 432000 445600 448000 460800 467880 481248 483840 487375 499072 501300 504000 526365 534720 537600 557000 561456 570368 576000 584850 601560 604800 623840 626625 641664 645120 668400 672000 691200 701820 712960 748608 751950 756000 768000 779800 802080 806400 835500 842184 855552 864000 877275 891200 896000 935760 962496 967680 974750 998144 1002600 1008000 1052730 1069440 1075200 1114000 1122912 1140736 1152000 1169700 1203120 1209600 1247680 1253250 1283328 1336800 1344000 1382400 1403640 1425920 1462125 1497216 1503900 1512000 1559600 1604160 1612800 1671000 1684368 1711104 1728000 1754550 1782400 1792000 1871520 1879875 1924992 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1347494400 1497216000 1684368000 1796659200 1924992000 2245824000 2694988800 2994432000 3368736000 3849984000 4491648000 4562371081 5389977600 6737472000 8983296000 9124742162 13474944000 13687113243 18249484324 22811855405 26949888000 27374226486 31936597567 36498968648 41061339729 45623710810 54748452972 63873195134 68435566215 72997937296 82122679458 91247421620 95809792701 109496905944 114059277025 123184019187 127746390268 136871132430 145995874592 159682987835 164245358916 182494843240 191619585402 205306698645 218993811888 228118554050 246368038374 255492780536 273742264860 287429378103 291991749184 319365975670 328490717832 342177831075 364989686480 383239170804 410613397290 437987623776 456237108100 479048963505 492736076748 510985561072 547484529720 570296385125 574858756206 583983498368 615920095935 638731951340 656981435664 684355662150 729979372960 766478341608 798414939175 821226794580 862288134309 875975247552 912474216200 958097927010 985472153496 1021971122144 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18215613281094656 18296932983242400 18395480198592000 19211779632404520 19516728515458560 20012270450421375 20329925536936000 20492564941231488 21346421813782800 21956319579890880 22074576238310400 22769516601368320 22871166229053000 23420074218550272 24014724540505650 24395910644323200 24527306931456000 25615706176539360 26022304687278080 26683027267228500 27323419921641984 27445399474863600 27593220297888000 28461895751710400 29275092773187840 30494888305404000 30738847411847232 31535108911872000 32019632720674200 32527880859097600 34154274902052480 34306749343579500 35130111327825408 35577369689638000 36431226562189312 36593865966484800 36790960397184000 38423559264809040 39033457030917120 40024540900842750 40659851073872000 40985129882462976 42692843627565600 43912639159781760 44149152476620800 45539033202736640 45742332458106000 46840148437100544 48029449081011300 48791821288646400 51231412353078720 53366054534457000 54646839843283968 54890798949727200 55186440595776000 56923791503420800 58550185546375680 60036811351264125 60989776610808000 61477694823694464 64039265441348400 65055761718195200 68308549804104960 68613498687159000 70260222655650816 71154739379276000 73187731932969600 73581920794368000 76847118529618080 78066914061834240 80049081801685500 81319702147744000 81970259764925952 85385687255131200 87825278319563520 91078066405473280 91484664916212000 96058898162022600 97583642577292800 102462824706157440 106732109068914000 109293679686567936 109781597899454400 110372881191552000 113847583006841600 117100371092751360 120073622702528250 121979553221616000 122955389647388928 128078530882696800 130111523436390400 136617099608209920 137226997374318000 140520445311301632 142309478758552000 146375463865939200 153694237059236160 160098163603371000 162639404295488000 163940519529851904 170771374510262400 175650556639127040 182156132810946560 182969329832424000 192117796324045200 195167285154585600 204925649412314880 213464218137828000 219563195798908800 220745762383104000 227695166013683200 234200742185502720 240147245405056500 243959106443232000 245910779294777856 256157061765393600 273234199216419840 274453994748636000 284618957517104000 292750927731878400 307388474118472320 320196327206742000 325278808590976000 327881039059703808 341542749020524800 351301113278254080 365938659664848000 384235592648090400 390334570309171200 409851298824629760 426928436275656000 439126391597817600 455390332027366400 480294490810113000 487918212886464000 491821558589555712 512314123530787200 546468398432839680 548907989497272000 569237915034208000 585501855463756800 614776948236944640 640392654413484000 650557617181952000 683085498041049600 702602226556508160 731877319329696000 768471185296180800 819702597649259520 853856872551312000 878252783195635200 910780664054732800 960588981620226000 975836425772928000 983643117179111424 1024628247061574400 1097815978994544000 1138475830068416000 1171003710927513600 1229553896473889280 1280785308826968000 1366170996082099200 1463754638659392000 1536942370592361600 1639405195298519040 1707713745102624000 1756505566391270400 1921177963240452000 1951672851545856000 2049256494123148800 2195631957989088000 2276951660136832000 2459107792947778560 2561570617653936000 2732341992164198400 2927509277318784000 3073884741184723200 3415427490205248000 3513011132782540800 3842355926480904000 4098512988246297600 4391263915978176000 4553903320273664000 4918215585895557120 5123141235307872000 5855018554637568000 6147769482369446400 6830854980410496000 7684711852961808000 8197025976492595200 8782527831956352000 10246282470615744000 12295538964738892800 13661709960820992000 15369423705923616000 17565055663912704000 20492564941231488000 24591077929477785600 30738847411847232000 40985129882462976000 61477694823694464000 122955389647388928000
- Sum of all divisors σ(n): 520419172220354534400
- Sum of proper divisors (its aliquot sum) s(n): 397463782572965606400
- 122955389647388928000 is an abundant number, because the sum of its proper divisors (397463782572965606400) is greater than itself. Its abundance is 274508392925576678400
Bases of 122955389647388928000
- Binary: 11010101010010110010100101101110000010100000101101111101000000000002
- Hexadecimal: 0x6AA594B70505BE800
- Base-36: PY5O00CNN6YO0
Squares and roots of 122955389647388928000
- 122955389647388928000 squared (1229553896473889280002) is 15118027843341236372178408096989184000000
- 122955389647388928000 cubed (1229553896473889280003) is 1858843004178096616856979898145243490168923857354752000000000
-
The
square root of 122955389647388928000 is 11088525134.0017680459 -
The
cube root of 122955389647388928000 is 4972588.5254670205
Scales and comparisons
How big is 122955389647388928000?- 122,955,389,647,388,928,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 122,955,389,647,388,928,000 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 122955389647388928000 cubic inches would be around 414382.4 feet tall.
Recreational maths with 122955389647388928000
- 122955389647388928000 backwards is 000829883746983559221
- The number of decimal digits it has is: 21
- The sum of 122955389647388928000's digits is 99
- More coming soon!
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"Number 122955389647388928000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 122955389647388928000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/122955389647388928000/
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Numbermatics. 2024. "Number 122955389647388928000 - Facts about the integer". https://numbermatics.com/n/122955389647388928000/
The information we have on file for 122955389647388928000 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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