85821213329560800
85,821,213,329,560,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 85821213329560800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
85821213329560800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 85821213329560800:
25 × 35 × 52 × 7 × 13 × 4851287327
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 4851287327)See below for interesting mathematical facts about the number 85821213329560800 from the Numbermatics database.
Names of 85821213329560800
- Cardinal: 85821213329560800 can be written as Eighty-five quadrillion, eight hundred twenty-one trillion, two hundred thirteen billion, three hundred twenty-nine million, five hundred sixty thousand, eight hundred.
Scientific notation
- Scientific notation: 8.58212133295608 × 1016
Factors of 85821213329560800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 4851287357
Divisors of 85821213329560800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 65 70 72 75 78 80 81 84 90 91 96 100 104 105 108 112 117 120 126 130 135 140 144 150 156 160 162 168 175 180 182 189 195 200 208 210 216 224 225 234 240 243 252 260 270 273 280 288 300 312 315 324 325 336 350 351 360 364 378 390 400 405 416 420 432 450 455 468 480 486 504 520 525 540 546 560 567 585 600 624 630 648 650 672 675 700 702 720 728 756 780 800 810 819 840 864 900 910 936 945 972 975 1008 1040 1050 1053 1080 1092 1120 1134 1170 1200 1215 1248 1260 1296 1300 1350 1365 1400 1404 1440 1456 1512 1560 1575 1620 1638 1680 1701 1755 1800 1820 1872 1890 1944 1950 2016 2025 2080 2100 2106 2160 2184 2268 2275 2340 2400 2430 2457 2520 2592 2600 2700 2730 2800 2808 2835 2912 2925 3024 3120 3150 3159 3240 3276 3360 3402 3510 3600 3640 3744 3780 3888 3900 4050 4095 4200 4212 4320 4368 4536 4550 4680 4725 4860 4914 5040 5200 5265 5400 5460 5600 5616 5670 5850 6048 6075 6240 6300 6318 6480 6552 6804 6825 7020 7200 7280 7371 7560 7776 7800 8100 8190 8400 8424 8505 8736 8775 9072 9100 9360 9450 9720 9828 10080 10400 10530 10800 10920 11232 11340 11700 12150 12285 12600 12636 12960 13104 13608 13650 14040 14175 14560 14742 15120 15600 15795 16200 16380 16800 16848 17010 17550 18144 18200 18720 18900 19440 19656 20475 21060 21600 21840 22113 22680 23400 24300 24570 25200 25272 26208 26325 27216 27300 28080 28350 29484 30240 31200 31590 32400 32760 33696 34020 35100 36400 36855 37800 38880 39312 40950 42120 42525 43680 44226 45360 46800 48600 49140 50400 50544 52650 54432 54600 56160 56700 58968 61425 63180 64800 65520 68040 70200 72800 73710 75600 78624 78975 81900 84240 85050 88452 90720 93600 97200 98280 101088 105300 109200 110565 113400 117936 122850 126360 131040 136080 140400 147420 151200 157950 163800 168480 170100 176904 184275 194400 196560 210600 218400 221130 226800 235872 245700 252720 272160 280800 294840 315900 327600 340200 353808 368550 393120 421200 442260 453600 491400 505440 552825 589680 631800 655200 680400 707616 737100 842400 884520 982800 1105650 1179360 1263600 1360800 1474200 1769040 1965600 2211300 2527200 2948400 3538080 4422600 5896800 8845200 17690400 4851287327 9702574654 14553861981 19405149308 24256436635 29107723962 33959011289 38810298616 43661585943 48512873270 58215447924 63066735251 67918022578 72769309905 77620597232 87323171886 97025746540 101877033867 116430895848 121282183175 126133470502 130984757829 135836045156 145538619810 155241194464 169795056445 174646343772 189200205753 194051493080 203754067734 218307929715 232861791696 242564366350 252266941004 261969515658 271672090312 291077239620 305631101601 315333676255 339590112890 349292687544 363846549525 378400411506 388102986160 392954273487 407508135468 436615859430 441467146757 465723583392 485128732700 504533882008 509385169335 523939031316 543344180624 567600617259 582154479240 611262203202 630667352510 654923789145 679180225780 698585375088 727693099050 756800823012 776205972320 785908546974 815016270936 848975282225 873231718860 882934293514 916893304803 946001028765 970257465400 1009067764016 1018770338670 1047878062632 1086688361248 1091539648575 1135201234518 1164308958480 1178862820461 1222524406404 1261334705020 1309847578290 1324401440271 1358360451560 1397170750176 1455386198100 1513601646024 1528155508005 1571817093948 1576668381275 1630032541872 1697950564450 1702801851777 1746463437720 1765868587028 1833786609606 1892002057530 1940514930800 1964771367435 2018135528032 2037540677340 2095756125264 2183079297150 2207335733785 2270402469036 2328617916960 2357725640922 2445048812808 2522669410040 2546925846675 2619695156580 2648802880542 2716720903120 2750679914409 2838003086295 2910772396200 3027203292048 3056311016010 3143634187896 3153336762550 3260065083744 3274618945725 3395901128900 3405603703554 3492926875440 3531737174056 3667573219212 3784004115060 3881029861600 3929542734870 3973204320813 4075081354680 4191512250528 4366158594300 4414671467570 4540804938072 4584466524015 4715451281844 4730005143825 4890097625616 5045338820080 5093851693350 5108405555331 5239390313160 5297605761084 5433441806240 5501359828818 5676006172590 5821544792400 5894314102305 6054406584096 6112622032020 6287268375792 6306673525100 6549237891450 6622007201355 6791802257800 6811207407108 6985853750880 7063474348112 7335146438424 7568008230120 7640777540025 7859085469740 7946408641626 8150162709360 8252039743227 8514009258885 8732317188600 8829342935140 9081609876144 9168933048030 9430902563688 9460010287650 9780195251232 9823856837175 10090677640160 10187703386700 10216811110662 10478780626320 10595211522168 11002719657636 11036678668925 11352012345180 11643089584800 11788628204610 11919612962439 12225244064040 12574536751584 12613347050200 13098475782900 13244014402710 13583604515600 13622414814216 13753399572045 14126948696224 14190015431475 14670292876848 15136016460240 15281555080050 15325216665993 15718170939480 15892817283252 16300325418720 16504079486454 17028018517770 17464634377200 17658685870280 18163219752288 18337866096060 18861805127376 18920020575300 19647713674350 19866021604065 20375406773400 20433622221324 20957561252640 21190423044336 22005439315272 22073357337850 22704024690360 22922332620075 23577256409220 23839225924878 24450488128080 25226694100400 25542027776655 26196951565800 26488028805420 27167209031200 27244829628432 27506799144090 28380030862950 29340585753696 29471570511525 30272032920480 30563110160100 30650433331986 31436341878960 31785634566504 33008158972908 33110036006775 34056037035540 34929268754400 35317371740560 35758838887317 36675732192120 37723610254752 37840041150600 39295427348700 39732043208130 40750813546800 40867244442648 41260198716135 42380846088672 42570046294425 44010878630544 44146714675700 45408049380720 45844665240150 47154512818440 47678451849756 48900976256160 50453388200800 51084055553310 52393903131600 52976057610840 54489659256864 55013598288180 56760061725900 58943141023050 59598064812195 61126220320200 61300866663972 62872683757920 63571269133008 66016317945816 66220072013550 68112074071080 68766997860225 70634743481120 71517677774634 73351464384240 75680082301200 76626083329965 78590854697400 79464086416260 81501627093600 81734488885296 82520397432270 85140092588850 88021757261088 88293429351400 90816098761440 91689330480300 94309025636880 95356903699512 99330108020325 102168111106620 104787806263200 105952115221680 107276516661951 110027196576360 113520123451800 117886282046100 119196129624390 122252440640400 122601733327944 127142538266016 127710138883275 132032635891632 132440144027100 136224148142160 137533995720450 143035355549268 146702928768480 151360164602400 153252166659930 157181709394800 158928172832520 163468977770592 165040794864540 170280185177700 176586858702800 178794194436585 183378660960600 188618051273760 190713807399024 198660216040650 204336222213240 206300993580675 211904230443360 214553033323902 220054393152720 227040246903600 235772564092200 238392259248780 244504881280800 245203466655888 255420277766550 264065271783264 264880288054200 272448296284320 275067991440900 286070711098536 297990324060975 306504333319860 314363418789600 317856345665040 330081589729080 340560370355400 353173717405600 357588388873170 366757321921200 381427614798048 383130416649825 397320432081300 408672444426480 412601987161350 429106066647804 440108786305440 454080493807200 471545128184400 476784518497560 490406933311776 510840555533100 529760576108400 536382583309755 550135982881800 572141422197072 595980648121950 613008666639720 635712691330080 660163179458160 681120740710800 715176777746340 733514643842400 766260833299650 794640864162600 817344888852960 825203974322700 858212133295608 893970972182925 943090256368800 953569036995120 1021681111066200 1059521152216800 1072765166619510 1100271965763600 1144282844394144 1191961296243900 1226017333279440 1320326358916320 1362241481421600 1430353555492680 1532521666599300 1589281728325200 1650407948645400 1716424266591216 1787941944365850 1907138073990240 2043362222132400 2145530333239020 2200543931527200 2383922592487800 2452034666558880 2681912916548775 2860707110985360 3065043333198600 3178563456650400 3300815897290800 3432848533182432 3575883888731700 4086724444264800 4291060666478040 4767845184975600 5363825833097550 5721414221970720 6130086666397200 6601631794581600 7151767777463400 8582121332956080 9535690369951200 10727651666195100 12260173332794400 14303535554926800 17164242665912160 21455303332390200 28607071109853600 42910606664780400 85821213329560800
- Sum of all divisors σ(n): 386259031331776512
- Sum of proper divisors (its aliquot sum) s(n): 300437818002215712
- 85821213329560800 is an abundant number, because the sum of its proper divisors (300437818002215712) is greater than itself. Its abundance is 214616604672654912
Bases of 85821213329560800
- Binary: 1001100001110010111110000010101101011001110010100111000002
- Hexadecimal: 0x130E5F056B394E0
- Base-36: NH12X4ICU00
Squares and roots of 85821213329560800
- 85821213329560800 squared (858212133295608002) is 7365280657357984335111120896640000
- 85821213329560800 cubed (858212133295608003) is 632097322527207376537658089005981515913395712000000
-
The
square root of 85821213329560800 is 292952578.6361348961 -
The
cube root of 85821213329560800 is 441094.4060302101
Scales and comparisons
How big is 85821213329560800?- 85,821,213,329,560,800 seconds is equal to 2,728,849,121 years, 22 weeks, 5 days, 6 hours.
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To count from 1 to 85,821,213,329,560,800 would take you about eight billion, one hundred eighty-six million, five hundred forty-seven thousand, three hundred sixty-four 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 85821213329560800 cubic inches would be around 36757.9 feet tall.
Recreational maths with 85821213329560800
- 85821213329560800 backwards is 00806592331212858
- 85821213329560800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 85821213329560800's digits is 63
- More coming soon!
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The information we have on file for 85821213329560800 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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