85121378144000
85,121,378,144,000 is an even composite number composed of six prime numbers multiplied together.
85121378144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 85121378144000:
28 × 53 × 112 × 29 × 47 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 29 × 47 × 127 × 127)See below for interesting mathematical facts about the number 85121378144000 from the Numbermatics database.
Names of 85121378144000
- Cardinal: 85121378144000 can be written as Eighty-five trillion, one hundred twenty-one billion, three hundred seventy-eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 8.5121378144 × 1013
Factors of 85121378144000
Divisors of 85121378144000
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 29 32 40 44 47 50 55 58 64 80 88 94 100 110 116 121 125 127 128 145 160 176 188 200 220 232 235 242 250 254 256 275 290 319 320 352 376 400 440 464 470 484 500 508 517 550 580 605 635 638 640 704 725 752 800 880 928 940 968 1000 1016 1034 1100 1160 1175 1210 1270 1276 1280 1363 1375 1397 1408 1450 1504 1595 1600 1760 1856 1880 1936 2000 2032 2068 2200 2320 2350 2420 2540 2552 2585 2726 2750 2794 2816 2900 3008 3025 3175 3190 3200 3509 3520 3625 3683 3712 3760 3872 4000 4064 4136 4400 4640 4700 4840 5080 5104 5170 5452 5500 5588 5687 5800 5875 5969 6016 6050 6350 6380 6400 6815 6985 7018 7040 7250 7366 7424 7520 7744 7975 8000 8128 8272 8800 9280 9400 9680 10160 10208 10340 10904 11000 11176 11374 11600 11750 11938 12032 12100 12700 12760 12925 13630 13970 14036 14080 14500 14732 14993 15040 15125 15367 15488 15875 15950 16000 16129 16256 16544 17545 17600 18415 18560 18800 19360 20320 20416 20680 21808 22000 22352 22748 23200 23500 23876 24200 25400 25520 25850 27260 27940 28072 28435 29000 29464 29845 29986 30080 30250 30734 30976 31750 31900 32000 32258 32512 33088 34075 34925 35090 35200 36830 37120 37600 38720 39875 40513 40640 40832 41360 43616 44000 44704 45496 46400 47000 47752 48400 50800 51040 51700 54520 55880 56144 56870 58000 58928 59690 59972 60160 60500 61468 63500 63800 64516 64625 65659 66176 68150 69850 70180 70400 73660 74965 75200 76835 77440 79750 80645 81026 81280 81664 82720 87232 87725 88000 89408 90992 92075 92800 94000 95504 96800 101600 102080 103400 109040 111760 112288 113740 116000 117856 119380 119944 121000 122936 127000 127600 129032 129250 131318 132352 136300 139700 140360 142175 147320 149225 149930 150400 153670 154880 159500 161290 162052 162560 164923 165440 170375 173101 174464 174625 175450 176000 177419 178816 181984 184150 185600 188000 191008 193600 202565 203200 204160 206800 218080 223520 224576 227480 232000 235712 238760 239888 242000 245872 254000 255200 258064 258500 262636 272600 279400 280720 284350 294640 298450 299860 300800 307340 319000 322580 324104 328295 329846 330880 340750 346202 348928 349250 350900 352000 354838 357632 363968 368300 374825 376000 382016 384175 387200 403225 405130 406400 408320 413600 436160 438625 445643 447040 449152 454960 460375 464000 467741 471424 477520 479776 484000 491744 508000 510400 516128 517000 525272 545200 558800 561440 568700 589280 596900 599720 614680 638000 645160 648208 656590 659692 661760 681500 692404 698500 701800 709676 710875 722249 727936 736600 746125 749650 752000 758063 764032 768350 774400 806450 810260 812800 824615 827200 865505 872320 877250 887095 891286 894080 898304 909920 920750 928000 935482 942848 955040 959552 968000 983488 1012825 1016000 1020800 1032256 1034000 1050544 1090400 1117600 1122880 1137400 1178560 1193800 1199440 1229360 1276000 1290320 1296416 1313180 1319384 1363000 1384808 1397000 1403600 1419352 1421750 1444498 1455872 1473200 1492250 1499300 1504000 1516126 1528064 1536700 1612900 1620520 1641475 1649230 1654400 1731010 1744640 1754500 1774190 1782572 1788160 1819840 1841500 1870964 1874125 1904111 1910080 1919104 1920875 1936000 1951609 1966976 2016125 2025650 2032000 2041600 2064512 2068000 2101088 2180800 2228215 2235200 2245760 2274800 2338705 2357120 2387600 2398880 2458720 2552000 2580640 2592832 2626360 2638768 2726000 2769616 2794000 2807200 2838704 2843500 2888996 2946400 2984500 2998600 3032252 3073400 3225800 3241040 3282950 3298460 3308800 3462020 3509000 3548380 3565144 3611245 3639680 3683000 3741928 3748250 3790315 3808222 3820160 3838208 3841750 3872000 3903218 3933952 4032250 4051300 4064000 4123075 4129024 4136000 4202176 4327525 4361600 4435475 4456430 4470400 4491520 4549600 4677410 4714240 4775200 4797760 4917440 5064125 5104000 5145151 5161280 5185664 5252720 5277536 5452000 5539232 5588000 5614400 5677408 5687000 5777992 5892800 5969000 5997200 6064504 6146800 6451600 6482080 6565900 6596920 6924040 7018000 7096760 7130288 7222490 7279360 7366000 7483856 7496500 7580630 7616444 7640320 7683500 7806436 8064500 8102600 8207375 8246150 8272000 8338693 8404352 8655050 8723200 8870950 8912860 8940800 9099200 9354820 9520555 9550400 9595520 9758045 9834880 10128250 10208000 10290302 10322560 10371328 10505440 10555072 10904000 11078464 11141075 11176000 11228800 11354816 11374000 11555984 11693525 11785600 11938000 11994400 12129008 12293600 12903200 12964160 13131800 13193840 13848080 14036000 14193520 14260576 14444980 14732000 14967712 14993000 15161260 15232888 15367000 15612872 16129000 16205200 16414750 16492300 16544000 16677386 16808704 17310100 17741900 17825720 18056225 18198400 18709640 18951575 19041110 19100800 19191040 19516090 19669760 20256500 20580604 20615375 20645120 20945221 21010880 21110144 21637625 21808000 21983827 22156928 22177375 22282150 22352000 22457600 22709632 22748000 23111968 23387050 23571200 23876000 23988800 24258016 24587200 25725755 25806400 25928320 26263600 26387680 27696160 28072000 28387040 28521152 28889960 29464000 29935424 29986000 30322520 30465776 30734000 31225744 32258000 32410400 32829500 32984600 33354772 34620200 35483800 35651440 36112450 36396800 37419280 37903150 38082220 38201600 39032180 40513000 41161208 41230750 41693465 41890442 42021760 42220288 43275250 43616000 43967654 44313856 44354750 44564300 44704000 45419264 45496000 46223936 46774100 47602775 47752000 47977600 48516032 48790225 49174400 51451510 51612800 51856640 52527200 52775360 55392320 55705375 56144000 56596661 56774080 57042304 57779920 58467625 58928000 59870848 59972000 60645040 60931552 61468000 62451488 64516000 64820800 65659000 65969200 66709544 69240400 70967600 71302880 72224900 74838560 75806300 76164440 78064360 81026000 82322416 82461500 83386930 83780884 84043520 86550500 87935308 88709500 89128600 90281125 90992000 91725623 92447872 93548200 94757875 95205550 95504000 95955200 97032064 97580450 98348800 102903020 103225600 104726105 105054400 105550720 109919135 110784640 111410750 112288000 113193322 113548160 114084608 115559840 116935250 117856000 119741696 119944000 121290080 121863104 122936000 124902976 128628775 129032000 129641600 131318000 131938400 133419088 138480800 141935200 142605760 144449800 149677120 151612600 152328880 156128720 162052000 164644832 164923000 166773860 167561768 173101000 175870616 177419000 178257200 180562250 181984000 183451246 184895744 187096400 189515750 190411100 191008000 194064128 195160900 205806040 208467325 209452210 210108800 211101440 219838270 221569280 222821500 226386644 227096320 231119680 233870500 238013875 239888000 241822097 242580160 243726208 243951125 245872000 249805952 257257550 258064000 259283200 262636000 263876800 266838176 276961600 282983305 283870400 285211520 288899600 299354240 303225200 304657760 312257440 324104000 329289664 329846000 333547720 335123536 346202000 351741232 354838000 356514400 361124500 366902492 374192800 379031500 380822200 390321800 411612080 416934650 418904420 420217600 439676540 445643000 452773288 458628115 462239360 467741000 476027750 479776000 483644194 485160320 487452416 487902250 491744000 499611904 514515100 516128000 523630525 525272000 527753600 533676352 549595675 553923200 565966610 567740800 570423040 577799200 598708480 606450400 609315520 624514880 643143875 648208000 658579328 659692000 667095440 670247072 692404000 703482464 709676000 713028800 722249000 733804984 748385600 758063000 761644400 780643600 823224160 833869300 837808840 879353080 891286000 905546576 917256230 924478720 935482000 952055500 967288388 970320640 975804500 1029030200 1042336625 1047261050 1050544000 1055507200 1067352704 1099191350 1107846400 1131933220 1135481600 1155598400 1209110485 1212900800 1218631040 1249029760 1286287750 1296416000 1317158656 1319384000 1334190880 1340494144 1384808000 1406964928 1414916525 1419352000 1426057600 1444498000 1467609968 1496771200 1516126000 1523288800 1561287200 1646448320 1667738600 1675617680 1758706160 1782572000 1811093152 1834512460 1870964000 1904111000 1934576776 1951609000 2058060400 2084673250 2094522100 2101088000 2134705408 2198382700 2263866440 2293140575 2311196800 2418220970 2425801600 2437262080 2498059520 2572575500 2618152625 2638768000 2660043067 2668381760 2680988288 2747978375 2769616000 2813929856 2829833050 2838704000 2852115200 2888996000 2935219936 2993542400 3032252000 3046577600 3122574400 3292896640 3335477200 3351235360 3517412320 3565144000 3622186304 3669024920 3741928000 3808222000 3869153552 3903218000 4116120800 4169346500 4189044200 4396765400 4527732880 4586281150 4622393600 4836441940 4851603200 5145151000 5236305250 5277536000 5320086134 5336763520 5361976576 5495956750 5539232000 5627859712 5659666100 5677408000 5777992000 5870439872 6045552425 6064504000 6093155200 6245148800 6585793280 6670954400 6702470720 7034824640 7074582625 7130288000 7244372608 7338049840 7483856000 7616444000 7738307104 7806436000 8232241600 8338693000 8378088400 8793530800 9055465760 9172562300 9672883880 10290302000 10472610500 10640172268 10673527040 10991913500 11319332200 11465702875 11555984000 11740879744 12091104850 12129008000 12186310400 12490297600 13300215335 13341908800 13404941440 14069649280 14149165250 14260576000 14488745216 14676099680 14967712000 15232888000 15476614208 15612872000 16464483200 16677386000 16756176800 17587061600 18110931520 18345124600 19345767760 20580604000 20945221000 21280344536 21983827000 22638664400 22931405750 23111968000 23481759488 24182209700 24258016000 26600430670 26683817600 26809882880 28139298560 28298330500 29352199360 30227762125 30465776000 30953228416 31225744000 32928966400 33354772000 33512353600 35174123200 36221863040 36690249200 38691535520 41161208000 41890442000 42560689072 43967654000 45277328800 45862811500 48364419400 53200861340 53367635200 56596661000 58704398720 60455524250 60931552000 61906456832 62451488000 66501076675 66709544000 67024707200 70348246400 72443726080 73380498400 77383071040 82322416000 83780884000 85121378144 87935308000 90554657600 91725623000 96728838800 106401722680 113193322000 117408797440 120911048500 133002153350 133419088000 134049414400 140696492800 146760996800 154766142080 164644832000 167561768000 170242756288 175870616000 181109315200 183451246000 193457677600 212803445360 226386644000 241822097000 266004306700 266838176000 293521993600 309532284160 332505383375 335123536000 340485512576 351741232000 362218630400 366902492000 386915355200 425606890720 452773288000 483644194000 532008613400 587043987200 665010766750 670247072000 680971025152 703482464000 733804984000 773830710400 851213781440 905546576000 967288388000 1064017226800 1330021533500 1467609968000 1547661420800 1702427562880 1811093152000 1934576776000 2128034453600 2660043067000 2935219936000 3404855125760 3869153552000 4256068907200 5320086134000 7738307104000 8512137814400 10640172268000 17024275628800 21280344536000 42560689072000 85121378144000
- Sum of all divisors σ(n): 248199005658240
- Sum of proper divisors (its aliquot sum) s(n): 163077627514240
- 85121378144000 is an abundant number, because the sum of its proper divisors (163077627514240) is greater than itself. Its abundance is 77956249370240
Bases of 85121378144000
- Binary: 100110101101010110111011000000111001111000000002
- Hexadecimal: 0x4D6ADD81CF00
- Base-36: U687YS0E8
Squares and roots of 85121378144000
- 85121378144000 squared (851213781440002) is 7245649017133840884736000000
- 85121378144000 cubed (851213781440003) is 616759629886151605008740573609984000000000
-
The
square root of 85121378144000 is 9226124.7630844447 -
The
cube root of 85121378144000 is 43989.2153568403
Scales and comparisons
How big is 85121378144000?- 85,121,378,144,000 seconds is equal to 2,706,596 years, 27 weeks, 2 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 85,121,378,144,000 would take you about six million, seven hundred sixty-six thousand, four hundred ninety-one 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 85121378144000 cubic inches would be around 3665.8 feet tall.
Recreational maths with 85121378144000
- 85121378144000 backwards is 00044187312158
- 85121378144000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 85121378144000's digits is 44
- More coming soon!
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The information we have on file for 85121378144000 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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