426429060983340800
426,429,060,983,340,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 426429060983340800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2430 divisors.
426429060983340800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 426429060983340800:
28 × 52 × 74 × 112 × 475
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 11 × 47 × 47 × 47 × 47 × 47)See below for interesting mathematical facts about the number 426429060983340800 from the Numbermatics database.
Names of 426429060983340800
- Cardinal: 426429060983340800 can be written as Four hundred twenty-six quadrillion, four hundred twenty-nine trillion, sixty billion, nine hundred eighty-three million, three hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 4.264290609833408 × 1017
Factors of 426429060983340800
Divisors of 426429060983340800
- Number of divisors d(n): 2430
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 47 49 50 55 56 64 70 77 80 88 94 98 100 110 112 121 128 140 154 160 175 176 188 196 200 220 224 235 242 245 256 275 280 308 320 329 343 350 352 376 385 392 400 440 448 470 484 490 517 539 550 560 605 616 640 658 686 700 704 752 770 784 800 847 880 896 940 968 980 1034 1078 1100 1120 1175 1210 1225 1232 1280 1316 1372 1400 1408 1504 1540 1568 1600 1645 1694 1715 1760 1792 1880 1925 1936 1960 2068 2156 2200 2209 2240 2303 2350 2401 2420 2450 2464 2585 2632 2695 2744 2800 2816 3008 3025 3080 3136 3200 3290 3388 3430 3520 3619 3760 3773 3850 3872 3920 4136 4235 4312 4400 4418 4480 4606 4700 4802 4840 4900 4928 5170 5264 5390 5488 5600 5687 5929 6016 6050 6160 6272 6400 6580 6776 6860 7040 7238 7520 7546 7700 7744 7840 8225 8272 8470 8575 8624 8800 8836 8960 9212 9400 9604 9680 9800 9856 10340 10528 10780 10976 11045 11200 11374 11515 11858 12005 12032 12100 12320 12544 12925 13160 13475 13552 13720 14080 14476 15040 15092 15400 15463 15488 15680 16121 16450 16544 16940 17150 17248 17600 17672 18095 18424 18800 18865 19208 19360 19600 19712 20680 21056 21175 21560 21952 22090 22400 22748 23030 23716 24010 24200 24299 24640 25333 25850 26320 26411 26950 27104 27440 28435 28952 29645 30080 30184 30800 30926 30976 31360 32242 32900 33088 33880 34300 34496 35200 35344 36190 36848 37600 37730 38416 38720 39200 39809 41360 41503 42112 42350 43120 43904 44180 44800 45496 46060 47432 48020 48400 48598 49280 50666 51700 52640 52822 53900 54208 54880 55225 56870 57575 57904 59290 60025 60160 60368 61600 61852 62720 64484 65800 66176 67760 68600 68992 70400 70688 72380 73696 75200 75460 76832 77315 77440 78400 79618 80605 82720 83006 84224 84700 86240 87808 88360 90475 90992 92120 94325 94864 96040 96800 97196 98560 101332 103400 103823 105280 105644 107800 108241 108416 109760 110450 112847 113740 115150 115808 118580 120050 120736 121495 123200 123704 126665 128968 131600 132055 132352 135520 137200 137984 141376 142175 144760 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5515476440320 5550149169400 5651060972480 5670599215204 5786325729800 5891531652160 6032552356600 6057230979877 6180847938650 6216167069728 6293226992080 6443862744550 6480684817376 6612943691200 6798932732515 6894345550400 6922549691288 7063826215600 7088249019005 7104190936832 7192259419520 7364414565200 7406496934144 7498313011840 7721667016448 7770208837160 7866533740100 7911485361472 8072944246400 8100856021720 8248144313024 8416473788800 8653187114110 8774621609600 8810517788912 8880238671040 8990324274400 9258121167680 9372891264800 9518505825521 9652083770560 9712761046450 9889356701840 10069163187328 10126070027150 10274656313600 10310180391280 10711875731200 10878292372024 11013147236140 11100298338800 11302121944960 11341198430408 11572651459600 11783063304320 12065104713200 12114461959754 12361695877300 12432334139456 12586453984160 12887725489100 12961369634752 13225887382400 13597865465030 13766434045175 13788691100800 13845099382576 14127652431200 14176498038010 14384518839040 14728829130400 14996626023680 15540417674320 15733067480200 15822970722944 16145888492800 16201712043440 16496288626048 16832947577600 17306374228220 17549243219200 17621035577824 17760477342080 17980648548800 18516242335360 18745782529600 19037011651042 19304167541120 19425522092900 19778713403680 20138326374656 20252140054300 20620360782560 21632967785275 21756584744048 22026294472280 22200596677600 22604243889920 22682396860816 23145302919200 23566126608640 24130209426400 24228923919508 24723391754600 24864668278912 25172907968320 25775450978200 25922739269504 26451774764800 27195730930060 27532868090350 27577382201600 27690198765152 28255304862400 28352996076020 29457658260800 30286154899385 31080835348640 31466134960400 31645941445888 32403424086880 32992577252096 33994663662575 34612748456440 35242071155648 35441245095025 35520954684160 35961297097600 37032484670720 37491565059200 38074023302084 38608335082240 38851044185800 39557426807360 40504280108600 41240721565120 43265935570550 43513169488096 44052588944560 44401193355200 45364793721632 46290605838400 47592529127605 48260418852800 48457847839016 49446783509200 49729336557824 50345815936640 51550901956400 51845478539008 54391461860120 55065736180700 55380397530304 56510609724800 56705992152040 58915316521600 60572309798770 62161670697280 62932269920800 64806848173760 66629540778647 67989327325150 69225496912880 70484142311296 70882490190050 71922594195200 74983130118400 76148046604168 77702088371600 79114853614720 81008560217200 82481443130240 86531871141100 87026338976192 88105177889120 88802386710400 90729587443264 92581211676800 95185058255210 96520837705600 96915695678032 98893567018400 100691631873280 103101803912800 108782923720240 110131472361400 110760795060608 113021219449600 113411984304080 117830633043200 121144619597540 124323341394560 125864539841600 129613696347520 133259081557294 135978654650300 138450993825760 140968284622592 141764980380100 151430774496925 152296093208336 155404176743200 158229707229440 162017120434400 164962886260480 173063742282200 174052677952384 176210355778240 177604773420800 181459174886528 185162423353600 190370116510420 193041675411200 193831391356064 197787134036800 206203607825600 217565847440480 220262944722800 221521590121216 226823968608160 237962645638025 242289239195080 248646682789120 251729079683200 259227392695040 266518163114588 271957309300600 276901987651520 283529960760200 302861548993850 304592186416672 310808353486400 324034240868800 333147703893235 346127484564400 348105355904768 352420711556480 362918349773056 380740233020840 387662782712128 395574268073600 412407215651200 435131694880960 440525889445600 453647937216320 475925291276050 484578478390160 503458159366400 533036326229176 543914618601200 553803975303040 567059921520400 605723097987700 609184372833344 621616706972800 648068481737600 666295407786470 692254969128800 704841423112960 761480466041680 775325565424256 791148536147200 824814431302400 870263389761920 881051778891200 907295874432640 951850582552100 969156956780320 1066072652458352 1087829237202400 1107607950606080 1134119843040800 1211446195975400 1218368745666688 1243233413945600 1296136963475200 1332590815572940 1384509938257600 1522960932083360 1550651130848512 1665738519466175 1740526779523840 1762103557782400 1814591748865280 1903701165104200 1938313913560640 2132145304916704 2175658474404800 2268239686081600 2422892391950800 2436737491333376 2665181631145880 2769019876515200 3045921864166720 3331477038932350 3524207115564800 3807402330208400 3876627827121280 4264290609833408 4351316948809600 4536479372163200 4845784783901600 5330363262291760 5538039753030400 6091843728333440 6662954077864700 7614804660416800 7753255654242560 8528581219666816 8702633897619200 9072958744326400 9691569567803200 10660726524583520 12183687456666880 13325908155729400 15229609320833600 17057162439333632 19383139135606400 21321453049167040 26651816311458800 30459218641667200 38766278271212800 42642906098334080 53303632622917600 60918437283334400 85285812196668160 106607265245835200 213214530491670400 426429060983340800
- Sum of all divisors σ(n): 1382855048830244304
- Sum of proper divisors (its aliquot sum) s(n): 956425987846903504
- 426429060983340800 is an abundant number, because the sum of its proper divisors (956425987846903504) is greater than itself. Its abundance is 529996926863562704
Bases of 426429060983340800
- Binary: 101111010101111101011111000101111011101000010111111000000002
- Hexadecimal: 0x5EAFAF8BDD0BF00
- Base-36: 38MSHI79ED4W
Squares and roots of 426429060983340800
- 426429060983340800 squared (4264290609833408002) is 181841744051133786974255128944640000
- 426429060983340800 cubed (4264290609833408003) is 77542604163297978782308997826335245138925453312000000
-
The
square root of 426429060983340800 is 653015360.4497682871 -
The
cube root of 426429060983340800 is 752689.0499626781
Scales and comparisons
How big is 426429060983340800?- 426,429,060,983,340,800 seconds is equal to 13,559,125,107 years, 30 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 426,429,060,983,340,800 would take you about forty billion, six hundred seventy-seven million, three hundred seventy-five thousand, three hundred twenty-two 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 426429060983340800 cubic inches would be around 62724.1 feet tall.
Recreational maths with 426429060983340800
- 426429060983340800 backwards is 008043389060924624
- The number of decimal digits it has is: 18
- The sum of 426429060983340800's digits is 68
- More coming soon!
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"Number 426429060983340800 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 426429060983340800 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/426429060983340800/
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The information we have on file for 426429060983340800 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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