84742406144000
84,742,406,144,000 is an even composite number composed of five prime numbers multiplied together.
84742406144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixteen divisors.
Prime factorization of 84742406144000:
218 × 53 × 113 × 29 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 29 × 67)See below for interesting mathematical facts about the number 84742406144000 from the Numbermatics database.
Names of 84742406144000
- Cardinal: 84742406144000 can be written as Eighty-four trillion, seven hundred forty-two billion, four hundred six million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 8.4742406144 × 1013
Factors of 84742406144000
Divisors of 84742406144000
- Number of divisors d(n): 1216
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 29 32 40 44 50 55 58 64 67 80 88 100 110 116 121 125 128 134 145 160 176 200 220 232 242 250 256 268 275 290 319 320 335 352 400 440 464 484 500 512 536 550 580 605 638 640 670 704 725 737 800 880 928 968 1000 1024 1072 1100 1160 1210 1276 1280 1331 1340 1375 1408 1450 1474 1595 1600 1675 1760 1856 1936 1943 2000 2048 2144 2200 2320 2420 2552 2560 2662 2680 2750 2816 2900 2948 3025 3190 3200 3350 3509 3520 3625 3685 3712 3872 3886 4000 4096 4288 4400 4640 4840 5104 5120 5324 5360 5500 5632 5800 5896 6050 6380 6400 6655 6700 7018 7040 7250 7370 7424 7744 7772 7975 8000 8107 8192 8375 8576 8800 9280 9680 9715 10208 10240 10648 10720 11000 11264 11600 11792 12100 12760 12800 13310 13400 14036 14080 14500 14740 14848 15125 15488 15544 15950 16000 16214 16384 16750 17152 17545 17600 18425 18560 19360 19430 20416 20480 21296 21373 21440 22000 22528 23200 23584 24200 25520 25600 26620 26800 28072 28160 29000 29480 29696 30250 30976 31088 31900 32000 32428 32768 33275 33500 34304 35090 35200 36850 37120 38599 38720 38860 39875 40535 40832 40960 42592 42746 42880 44000 45056 46400 47168 48400 48575 51040 51200 53240 53600 56144 56320 58000 58960 59392 60500 61952 62176 63800 64000 64856 65536 66550 67000 68608 70180 70400 73700 74240 77198 77440 77720 79750 81070 81664 81920 85184 85492 85760 87725 88000 89177 90112 92125 92800 94336 96800 97150 102080 102400 106480 106865 107200 112288 112640 116000 117920 118784 121000 123904 124352 127600 128000 129712 131072 133100 134000 137216 140360 140800 147400 148480 154396 154880 155440 159500 162140 163328 163840 166375 170368 170984 171520 175450 176000 178354 180224 184250 185600 188672 192995 193600 194300 202675 204160 204800 212960 213730 214400 224576 225280 232000 235103 235840 237568 242000 242875 247808 248704 255200 256000 259424 262144 266200 268000 274432 280720 281600 294800 296960 308792 309760 310880 319000 324280 326656 327680 332750 340736 341968 343040 350900 352000 356708 360448 368500 371200 377344 385990 387200 388600 405350 408320 409600 425920 427460 428800 438625 445885 449152 450560 464000 470206 471680 475136 484000 485750 495616 497408 510400 512000 518848 532400 534325 536000 548864 561440 563200 589600 593920 617584 619520 621760 638000 648560 653312 655360 665500 681472 683936 686080 701800 704000 713416 720896 737000 742400 754688 771980 774400 777200 810700 816640 819200 851840 854920 857600 877250 891770 898304 901120 928000 940412 943360 950272 964975 968000 971500 991232 994816 1013375 1020800 1024000 1037696 1064800 1068650 1072000 1097728 1122880 1126400 1175515 1179200 1187840 1235168 1239040 1243520 1276000 1297120 1306624 1310720 1331000 1362944 1367872 1372160 1403600 1408000 1426832 1441792 1474000 1484800 1509376 1543960 1548800 1554400 1621400 1633280 1638400 1703680 1709840 1715200 1754500 1783540 1796608 1802240 1856000 1880824 1886720 1900544 1929950 1936000 1943000 1982464 1989632 2026750 2041600 2048000 2075392 2129600 2137300 2144000 2195456 2229425 2245760 2252800 2351030 2358400 2375680 2470336 2478080 2487040 2552000 2586133 2594240 2613248 2662000 2671625 2725888 2735744 2744320 2807200 2816000 2853664 2883584 2948000 2969600 3018752 3087920 3097600 3108800 3242800 3266560 3276800 3407360 3419680 3430400 3509000 3567080 3593216 3604480 3712000 3761648 3773440 3801088 3859900 3872000 3886000 3964928 3979264 4053500 4083200 4096000 4150784 4259200 4274600 4288000 4390912 4458850 4491520 4505600 4702060 4716800 4751360 4824875 4940672 4956160 4974080 5104000 5172266 5188480 5226496 5324000 5343250 5451776 5471488 5488640 5614400 5632000 5707328 5877575 5896000 5939200 6037504 6175840 6195200 6217600 6485600 6533120 6553600 6814720 6839360 6860800 7018000 7134160 7186432 7208960 7424000 7523296 7546880 7602176 7719800 7744000 7772000 7929856 7958528 8107000 8166400 8192000 8301568 8518400 8549200 8576000 8781824 8917700 8983040 9011200 9404120 9433600 9502720 9649750 9881344 9912320 9948160 10208000 10344532 10376960 10452992 10648000 10686500 10903552 10942976 10977280 11147125 11228800 11264000 11414656 11755150 11792000 11878400 12075008 12351680 12390400 12435200 12930665 12971200 13066240 13629440 13678720 13721600 14036000 14268320 14372864 14417920 14848000 15046592 15093760 15439600 15488000 15544000 15859712 15917056 16214000 16332800 16384000 16603136 17036800 17098400 17152000 17563648 17835400 17966080 18022400 18808240 18867200 19005440 19299500 19762688 19824640 19896320 20416000 20689064 20753920 20905984 21296000 21373000 21807104 21885952 21954560 22294250 22457600 22528000 22829312 23510300 23584000 23756800 24150016 24703360 24780800 24870400 25861330 25942400 26132480 27258880 27357440 27443200 28072000 28536640 28745728 29387875 29696000 30093184 30187520 30879200 30976000 31088000 31719424 31834112 32428000 32665600 32768000 33206272 34073600 34196800 34304000 35670800 35932160 36044800 37616480 37734400 38010880 38599000 39525376 39649280 39792640 40832000 41378128 41507840 41811968 42592000 42746000 43614208 43771904 43909120 44588500 44915200 45056000 45658624 47020600 47168000 47513600 48300032 49406720 49561600 49740800 51722660 51884800 52264960 54517760 54714880 54886400 56144000 57073280 57491456 58775750 59392000 60186368 60375040 61758400 61952000 62176000 63668224 64653325 64856000 65331200 66412544 68147200 68393600 68608000 71341600 71864320 72089600 75232960 75468800 77198000 79050752 79298560 79585280 81664000 82756256 83015680 83623936 85184000 85492000 87228416 87543808 87818240 89177000 89830400 90112000 91317248 94041200 94336000 95027200 96600064 98813440 99123200 99481600 103445320 103769600 104529920 109035520 109429760 109772800 112288000 114146560 114982912 117551500 118784000 120372736 120750080 123516800 123904000 124352000 127336448 129306650 129712000 130662400 132825088 136294400 136787200 137216000 142683200 143728640 150465920 150937600 154396000 158101504 158597120 159170560 163328000 165512512 166031360 170368000 170984000 174456832 175087616 178354000 179660800 180224000 182634496 188082400 188672000 190054400 193200128 197626880 198246400 198963200 206890640 207539200 209059840 218071040 218859520 219545600 224576000 228293120 229965824 235103000 237568000 240745472 241500160 247033600 247808000 248704000 254672896 258613300 259424000 261324800 265650176 272588800 273574400 274432000 285366400 287457280 300931840 301875200 308792000 316203008 318341120 323266625 326656000 331025024 332062720 340736000 341968000 348913664 350175232 356708000 359321600 360448000 365268992 376164800 377344000 395253760 396492800 397926400 413781280 415078400 418119680 436142080 437719040 439091200 449152000 456586240 459931648 470206000 475136000 481490944 483000320 494067200 495616000 497408000 509345792 517226600 518848000 522649600 531300352 545177600 547148800 548864000 570732800 574914560 601863680 603750400 617584000 632406016 636682240 646533250 653312000 662050048 664125440 681472000 683936000 700350464 713416000 718643200 730537984 752329600 754688000 790507520 792985600 795852800 827562560 830156800 872284160 875438080 898304000 913172480 919863296 940412000 950272000 962981888 966000640 988134400 991232000 994816000 1034453200 1037696000 1045299200 1062600704 1090355200 1094297600 1097728000 1141465600 1149829120 1203727360 1207500800 1235168000 1264812032 1273364480 1293066500 1306624000 1324100096 1328250880 1362944000 1367872000 1400700928 1426832000 1437286400 1461075968 1504659200 1509376000 1581015040 1591705600 1655125120 1660313600 1744568320 1750876160 1796608000 1826344960 1880824000 1925963776 1976268800 1982464000 1989632000 2068906400 2075392000 2090598400 2125201408 2180710400 2188595200 2195456000 2282931200 2299658240 2407454720 2415001600 2470336000 2529624064 2546728960 2586133000 2613248000 2648200192 2656501760 2725888000 2735744000 2801401856 2853664000 2874572800 2922151936 3009318400 3018752000 3162030080 3183411200 3310250240 3320627200 3501752320 3593216000 3652689920 3761648000 3851927552 3952537600 3964928000 3979264000 4137812800 4150784000 4361420800 4377190400 4565862400 4599316480 4814909440 4830003200 4940672000 5059248128 5172266000 5226496000 5296400384 5313003520 5451776000 5471488000 5602803712 5707328000 5749145600 5844303872 6018636800 6037504000 6324060160 6366822400 6620500480 6641254400 7003504640 7186432000 7305379840 7523296000 7703855104 7905075200 7958528000 8275625600 8301568000 8722841600 8754380800 9131724800 9629818880 9881344000 10118496256 10344532000 10452992000 10592800768 10626007040 10903552000 10942976000 11414656000 11498291200 11688607744 12037273600 12075008000 12648120320 12733644800 13241000960 13282508800 14007009280 14372864000 14610759680 15046592000 15407710208 15810150400 15917056000 16551251200 16603136000 17508761600 18263449600 19259637760 19762688000 20689064000 21185601536 21807104000 21885952000 22829312000 22996582400 23377215488 24074547200 24150016000 25296240640 26482001920 26565017600 28014018560 28745728000 29221519360 30093184000 30815420416 31620300800 31834112000 33102502400 33206272000 35017523200 36526899200 38519275520 39525376000 41378128000 42371203072 43614208000 43771904000 45658624000 48149094400 50592481280 52964003840 53130035200 57491456000 58443038720 60186368000 61630840832 63240601600 63668224000 66205004800 66412544000 70035046400 73053798400 77038551040 79050752000 82756256000 84742406144 87543808000 91317248000 96298188800 105928007680 114982912000 116886077440 120372736000 126481203200 132410009600 132825088000 140070092800 146107596800 154077102080 158101504000 165512512000 169484812288 175087616000 182634496000 192596377600 211856015360 240745472000 252962406400 264820019200 265650176000 292215193600 308154204160 316203008000 331025024000 338969624576 350175232000 365268992000 385192755200 423712030720 481490944000 529640038400 584430387200 632406016000 662050048000 677939249152 700350464000 730537984000 770385510400 847424061440 962981888000 1059280076800 1264812032000 1324100096000 1461075968000 1540771020800 1694848122880 1925963776000 2118560153600 2648200192000 2922151936000 3389696245760 3851927552000 4237120307200 5296400384000 7703855104000 8474240614400 10592800768000 16948481228800 21185601536000 42371203072000 84742406144000
- Sum of all divisors σ(n): 244267074904320
- Sum of proper divisors (its aliquot sum) s(n): 159524668760320
- 84742406144000 is an abundant number, because the sum of its proper divisors (159524668760320) is greater than itself. Its abundance is 74782262616320
Bases of 84742406144000
- Binary: 100110100010010101000010000010000000000000000002
- Hexadecimal: 0x4D12A1040000
- Base-36: U1E4GMTQ8
Squares and roots of 84742406144000
- 84742406144000 squared (847424061440002) is 7181275399074648948736000000
- 84742406144000 cubed (847424061440003) is 608558556500299582988008747433984000000000
-
The
square root of 84742406144000 is 9205563.8688784297 -
The
cube root of 84742406144000 is 43923.8362370075
Scales and comparisons
How big is 84742406144000?- 84,742,406,144,000 seconds is equal to 2,694,546 years, 20 weeks, 1 day, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 84,742,406,144,000 would take you about six million, seven hundred thirty-six thousand, three hundred sixty-five 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 84742406144000 cubic inches would be around 3660.3 feet tall.
Recreational maths with 84742406144000
- 84742406144000 backwards is 00044160424748
- 84742406144000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 84742406144000's digits is 44
- More coming soon!
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The information we have on file for 84742406144000 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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