489970106771056512000
489,970,106,771,056,512,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 489970106771056512000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1408 divisors.
489970106771056512000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 489970106771056512000:
210 × 3 × 53 × 17 × 83 × 449 × 2014025687
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 83 × 449 × 2014025687)See below for interesting mathematical facts about the number 489970106771056512000 from the Numbermatics database.
Names of 489970106771056512000
- Cardinal: 489970106771056512000 can be written as Four hundred eighty-nine quintillion, nine hundred seventy quadrillion, one hundred six trillion, seven hundred seventy-one billion, fifty-six million, five hundred twelve thousand.
Scientific notation
- Scientific notation: 4.89970106771056512 × 1020
Factors of 489970106771056512000
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 2014026246
Divisors of 489970106771056512000
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 83 85 96 100 102 120 125 128 136 150 160 166 170 192 200 204 240 249 250 255 256 272 300 320 332 340 375 384 400 408 415 425 449 480 498 500 510 512 544 600 640 664 680 750 768 800 816 830 850 898 960 996 1000 1020 1024 1088 1200 1245 1275 1280 1328 1347 1360 1411 1500 1536 1600 1632 1660 1700 1796 1920 1992 2000 2040 2075 2125 2176 2245 2400 2490 2550 2560 2656 2694 2720 2822 3000 3072 3200 3264 3320 3400 3592 3840 3984 4000 4080 4150 4233 4250 4352 4490 4800 4980 5100 5120 5312 5388 5440 5644 6000 6225 6375 6400 6528 6640 6735 6800 7055 7184 7633 7680 7968 8000 8160 8300 8466 8500 8704 8980 9600 9960 10200 10375 10624 10776 10880 11225 11288 12000 12450 12750 12800 13056 13280 13470 13600 14110 14368 15266 15360 15936 16000 16320 16600 16932 17000 17408 17960 19200 19920 20400 20750 21165 21248 21552 21760 22450 22576 22899 24000 24900 25500 25600 26112 26560 26940 27200 28220 28736 30532 31125 31872 32000 32640 33200 33675 33864 34000 35275 35920 37267 38165 38400 39840 40800 41500 42330 42496 43104 43520 44900 45152 45798 48000 49800 51000 52224 53120 53880 54400 56125 56440 57472 61064 62250 63744 64000 65280 66400 67350 67728 68000 70550 71840 74534 76330 76800 79680 81600 83000 84660 84992 86208 87040 89800 90304 91596 96000 99600 102000 105825 106240 107760 108800 111801 112250 112880 114495 114944 122128 124500 127488 128000 130560 132800 134700 135456 136000 141100 143680 149068 152660 159360 163200 166000 168375 169320 172416 176375 179600 180608 183192 186335 190825 192000 199200 204000 211650 212480 215520 217600 223602 224500 225760 228990 229888 244256 249000 254976 261120 265600 269400 270912 272000 282200 287360 298136 305320 318720 326400 332000 336750 338640 344832 352750 359200 361216 366384 372670 381650 384000 398400 408000 423300 424960 431040 435200 447204 449000 451520 457980 459776 488512 498000 529125 531200 538800 541824 544000 559005 564400 572475 574720 596272 610640 633539 637440 652800 664000 673500 677280 689664 705500 718400 722432 732768 745340 763300 796800 816000 846600 862080 894408 898000 903040 915960 931675 954125 977024 996000 1058250 1062400 1077600 1083648 1088000 1118010 1128800 1144950 1149440 1192544 1221280 1267078 1274880 1305600 1328000 1347000 1354560 1379328 1411000 1436800 1444864 1465536 1490680 1526600 1593600 1632000 1693200 1724160 1788816 1796000 1806080 1831920 1863350 1900617 1908250 1954048 1992000 2116500 2124800 2155200 2167296 2176000 2236020 2257600 2289900 2298880 2385088 2442560 2534156 2656000 2694000 2709120 2795025 2822000 2862375 2873600 2931072 2981360 3053200 3167695 3187200 3264000 3386400 3448320 3577632 3592000 3612160 3663840 3726700 3801234 3816500 3908096 3984000 4233000 4310400 4334592 4472040 4515200 4579800 4658375 4770176 4885120 5068312 5312000 5388000 5418240 5590050 5644000 5724750 5747200 5862144 5962720 6106400 6335390 6374400 6528000 6772800 6896640 7155264 7184000 7224320 7327680 7453400 7602468 7633000 7816192 7968000 8466000 8620800 8944080 9030400 9159600 9316750 9503085 9540352 9770240 10136624 10624000 10776000 10836480 11180100 11288000 11449500 11494400 11724288 11925440 12212800 12670780 13545600 13975125 14310528 14368000 14655360 14906800 15204936 15266000 15838475 15936000 16932000 17241600 17888160 18060800 18319200 18633500 19006170 19080704 19540480 20273248 21552000 21672960 22360200 22576000 22899000 23448576 23850880 24425600 25341560 27091200 27950250 28621056 28736000 29310720 29813600 30409872 30532000 31676950 31872000 33864000 34483200 35776320 36121600 36638400 37267000 38012340 38161408 39080960 40546496 43104000 44720400 45152000 45798000 47515425 47701760 48851200 50683120 54182400 55900500 57242112 57472000 58621440 59627200 60819744 61064000 63353900 67728000 71552640 73276800 74534000 76024680 79192375 81092992 86208000 89440800 90304000 91596000 95030850 95403520 97702400 101366240 108364800 111801000 114484224 117242880 119254400 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21703140803112000 21824949076661760 22517008583228700 22734321954856000 23059587103306500 23150016856652800 23613017193785856 24018142488777280 24596892910193600 25519276394325860 27281186345827200 28146260729035875 28821770986532736 28937521070816000 29516271492232320 30022678110971600 30623131673191032 30746116137742000 31899095492907325 32095513348032000 34101482932284000 34725025284979200 36027213733165920 36374915127769600 36895339365290400 37528347638714500 38278914591488790 38429027982043648 39355028656309760 40830842230921376 43406281606224000 43649898153323520 45034017166457400 45468643909712000 46119174206613000 47226034387571712 48036284977554560 49193785820387200 51038552788651720 54562372691654400 56292521458071750 57643541973065472 57875042141632000 59032542984464640 60045356221943200 61246263346382064 61492232275484000 63798190985814650 64191026696064000 68202965864568000 69450050569958400 72054427466331840 72749830255539200 73790678730580800 75056695277429000 76557829182977580 76858055964087296 78710057312619520 81661684461842752 86812563212448000 90068034332914800 90937287819424000 92238348413226000 95697286478721975 96072569955109120 98387571640774400 102077105577303440 109124745383308800 112585042916143500 115287083946130944 115750084283264000 118065085968929280 120090712443886400 122492526692764128 122984464550968000 127596381971629300 136405931729136000 144108854932663680 147581357461161600 150113390554858000 153115658365955160 159495477464536625 163323368923685504 173625126424896000 180136068665829600 181874575638848000 184476696826452000 191394572957443950 192145139910218240 196775143281548800 204154211154606880 218249490766617600 225170085832287000 230574167892261888 236130171937858560 240181424887772800 244985053385528256 245968929101936000 255192763943258600 272811863458272000 288217709865327360 295162714922323200 300226781109716000 306231316731910320 318990954929073250 326646737847371008 347250252849792000 360272137331659200 363749151277696000 368953393652904000 382789145914887900 384290279820436480 393550286563097600 408308422309213760 450340171664574000 478486432393609875 480362849775545600 489970106771056512 491937858203872000 510385527886517200 545623726916544000 576435419730654720 590325429844646400 600453562219432000 612462633463820640 637981909858146500 653293475694742016 720544274663318400 737906787305808000 765578291829775800 816616844618427520 900680343329148000 956972864787219750 960725699551091200 979940213542113024 983875716407744000 1020771055773034400 1091247453833088000 1152870839461309440 1180650859689292800 1200907124438864000 1224925266927641280 1275963819716293000 1306586951389484032 1441088549326636800 1475813574611616000 1531156583659551600 1633233689236855040 1801360686658296000 1913945729574439500 1921451399102182400 1959880427084226048 1967751432815488000 2041542111546068800 2401814248877728000 2449850533855282560 2551927639432586000 2882177098653273600 2951627149223232000 3062313167319103200 3266467378473710080 3602721373316592000 3827891459148879000 3919760854168452096 4083084223092137600 4803628497755456000 4899701067710565120 5103855278865172000 5764354197306547200 5903254298446464000 6124626334638206400 6532934756947420160 7205442746633184000 7655782918297758000 8166168446184275200 9607256995510912000 9799402135421130240 10207710557730344000 12249252669276412800 14410885493266368000 15311565836595516000 16332336892368550400 19598804270842260480 20415421115460688000 24498505338552825600 28821770986532736000 30623131673191032000 32664673784737100800 40830842230921376000 48997010677105651200 61246263346382064000 81661684461842752000 97994021354211302400 122492526692764128000 163323368923685504000 244985053385528256000 489970106771056512000
- Sum of all divisors σ(n): 1750377583282732185600
- Sum of proper divisors (its aliquot sum) s(n): 1260407476511675673600
- 489970106771056512000 is an abundant number, because the sum of its proper divisors (1260407476511675673600) is greater than itself. Its abundance is 770437369740619161600
Bases of 489970106771056512000
- Binary: 1101010001111101100111000000000100010101010010000101001001100000000002
- Hexadecimal: 0x1A8FB38022A90A4C00
- Base-36: 2VEK9V574BPGQO
Squares and roots of 489970106771056512000
- 489970106771056512000 squared (4899701067710565120002) is 240070705529240518427788688697606144000000
- 489970106771056512000 cubed (4899701067710565120003) is 117627469220764843752313885294769554502161280142409728000000000
-
The
square root of 489970106771056512000 is 22135268391.6652908517 -
The
cube root of 489970106771056512000 is 7883574.8399128595
Scales and comparisons
How big is 489970106771056512000?- 489,970,106,771,056,512,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 489,970,106,771,056,512,000 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 489970106771056512000 cubic inches would be around 656964.6 feet tall.
Recreational maths with 489970106771056512000
- 489970106771056512000 backwards is 000215650177601079984
- The number of decimal digits it has is: 21
- The sum of 489970106771056512000's digits is 78
- More coming soon!
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"Number 489970106771056512000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 489970106771056512000 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/489970106771056512000/
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The information we have on file for 489970106771056512000 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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