442285817090021146880
442,285,817,090,021,146,880 is an even composite number composed of six prime numbers multiplied together.
What does the number 442285817090021146880 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
442285817090021146880 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 442285817090021146880:
28 × 5 × 11 × 292 × 17393 × 2147483647
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 29 × 29 × 17393 × 2147483647)See below for interesting mathematical facts about the number 442285817090021146880 from the Numbermatics database.
Names of 442285817090021146880
- Cardinal: 442285817090021146880 can be written as Four hundred forty-two quintillion, two hundred eighty-five quadrillion, eight hundred seventeen trillion, ninety billion, twenty-one million, one hundred forty-six thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 4.4228581709002114688 × 1020
Factors of 442285817090021146880
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 2147501087
Divisors of 442285817090021146880
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 128 145 160 176 220 232 256 290 319 320 352 440 464 580 638 640 704 841 880 928 1160 1276 1280 1408 1595 1682 1760 1856 2320 2552 2816 3190 3364 3520 3712 4205 4640 5104 6380 6728 7040 7424 8410 9251 9280 10208 12760 13456 14080 16820 17393 18502 18560 20416 25520 26912 33640 34786 37004 37120 40832 46255 51040 53824 67280 69572 74008 81664 86965 92510 102080 107648 134560 139144 148016 173930 185020 191323 204160 215296 269120 278288 296032 347860 370040 382646 408320 504397 538240 556576 592064 695720 740080 765292 956615 1008794 1076480 1113152 1184128 1391440 1480160 1530584 1913230 2017588 2226304 2368256 2521985 2782880 2960320 3061168 3826460 4035176 4452608 5043970 5548367 5565760 5920640 6122336 7652920 8070352 10087940 11096734 11131520 11841280 12244672 14627513 15305840 16140704 20175880 22193468 22263040 24489344 27741835 29255026 30611680 32281408 40351760 44386936 48978688 55483670 58510052 61223360 64562816 73137565 80703520 88773872 110967340 117020104 122446720 129125632 146275130 160902643 161407040 177547744 221934680 234040208 244893440 292550260 321805286 322814080 355095488 443869360 468080416 585100520 643610572 645628160 710190976 804513215 887738720 936160832 1170201040 1287221144 1420381952 1609026430 1775477440 1872321664 2147483647 2340402080 2574442288 3218052860 3550954880 3744643328 4294967294 4680804160 5148884576 6436105720 7101909760 8589934588 9361608320 10297769152 10737418235 12872211440 17179869176 18723216640 20595538304 21474836470 23622320117 25744422880 34359738352 41191076608 42949672940 47244640234 51488845760 62277025763 68719476704 85899345880 94489280468 102977691520 118111600585 124554051526 137438953408 171798691760 188978560936 205955383040 236223201170 249108103052 274877906816 311385128815 343597383520 377957121872 472446402340 498216206104 549755813632 622770257630 685047283393 687194767040 755914243744 944892804680 996432412208 1245540515260 1370094566786 1374389534080 1511828487488 1806033747127 1889785609360 1992864824416 2491081030520 2740189133572 2748779068160 3023656974976 3425236416965 3612067494254 3779571218720 3985729648832 4982162061040 5480378267144 6047313949952 6850472833930 7224134988508 7559142437440 7971459297664 9030168735635 9964324122080 10960756534288 13700945667860 14448269977016 15118284874880 15942918595328 18060337471270 19866371218397 19928648244160 21921513068576 27401891335720 28896539954032 30236569749760 36120674942540 37351183072271 39732742436794 39857296488320 43843026137152 54803782671440 57793079908064 72241349885080 74702366144542 79465484873588 79714592976640 87686052274304 99331856091985 109607565342880 115586159816128 144482699770160 149404732289084 158930969747176 175372104548608 186755915361355 198663712183970 219215130685760 231172319632256 288965399540320 298809464578168 317861939494352 373511830722710 397327424367940 410863013794981 438430261371520 462344639264512 577930799080640 597618929156336 635723878988704 747023661445420 794654848735880 821726027589962 876860522743040 1083184309095859 1155861598161280 1195237858312672 1271447757977408 1494047322890840 1589309697471760 1643452055179924 2054315068974905 2166368618191718 2311723196322560 2390475716625344 2542895515954816 2988094645781680 3178619394943520 3286904110359848 4108630137949810 4332737236383436 4780951433250688 5085791031909632 5415921545479295 5976189291563360 6357238789887040 6573808220719696 8217260275899620 8665474472766872 9561902866501376 10831843090958590 11915027400054449 11952378583126720 12714477579774080 13147616441439392 16434520551799240 17330948945533744 21663686181917180 23830054800108898 23904757166253440 25428955159548160 26295232882878784 31412344963779911 32869041103598480 34661897891067488 43327372363834360 47660109600217796 47809514332506880 52590465765757568 59575137000272245 62824689927559822 65738082207196960 69323795782134976 86654744727668720 95320219200435592 105180931531515136 119150274000544490 125649379855119644 131476164414393920 138647591564269952 157061724818899555 173309489455337440 190640438400871184 238300548001088980 251298759710239288 262952328828787840 277295183128539904 314123449637799110 345535794601579021 346618978910674880 381280876801742368 476601096002177960 502597519420478576 525904657657575680 628246899275598220 691071589203158042 693237957821349760 762561753603484736 953202192004355920 1005195038840957152 1256493798551196440 1382143178406316084 1386475915642699520 1525123507206969472 1727678973007895105 1906404384008711840 2010390077681914304 2512987597102392880 2764286356812632168 3050247014413938944 3455357946015790210 3812808768017423680 4020780155363828608 5025975194204785760 5528572713625264336 6910715892031580420 7625617536034847360 8041560310727657216 10051950388409571520 11057145427250528672 13821431784063160840 15251235072069694720 20103900776819143040 22114290854501057344 27642863568126321680 40207801553638286080 44228581709002114688 55285727136252643360 88457163418004229376 110571454272505286720 221142908545010573440 442285817090021146880
- Sum of all divisors σ(n): 1197018556192820035584
- Sum of proper divisors (its aliquot sum) s(n): 754732739102798888704
- 442285817090021146880 is an abundant number, because the sum of its proper divisors (754732739102798888704) is greater than itself. Its abundance is 312446922012777741824
Bases of 442285817090021146880
- Binary: 1011111111001111100101101111101010000000011000001101001000001000000002
- Hexadecimal: 0x17F9F2DF500C1A4100
- Base-36: 2LCA396PIU9JI8
Squares and roots of 442285817090021146880
- 442285817090021146880 squared (4422858170900211468802) is 195616743998987641998299408805590533734400
- 442285817090021146880 cubed (4422858170900211468803) is 86518511456081740057841591725831371170490395807242017308672000
-
The
square root of 442285817090021146880 is 21030592409.3930636683 -
The
cube root of 442285817090021146880 is 7619053.1696826415
Scales and comparisons
How big is 442285817090021146880?- 442,285,817,090,021,146,880 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 442,285,817,090,021,146,880 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 442285817090021146880 cubic inches would be around 634921.1 feet tall.
Recreational maths with 442285817090021146880
- 442285817090021146880 backwards is 088641120090718582244
- 442285817090021146880 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 442285817090021146880's digits is 80
- More coming soon!
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The information we have on file for 442285817090021146880 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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