2042084476800
2,042,084,476,800 is an even composite number composed of six prime numbers multiplied together.
2042084476800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 2042084476800:
27 × 33 × 52 × 23 × 31 × 33149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 23 × 31 × 33149)See below for interesting mathematical facts about the number 2042084476800 from the Numbermatics database.
Names of 2042084476800
- Cardinal: 2042084476800 can be written as Two trillion, forty-two billion, eighty-four million, four hundred seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 2.0420844768 × 1012
Factors of 2042084476800
Divisors of 2042084476800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 31 32 36 40 45 46 48 50 54 60 62 64 69 72 75 80 90 92 93 96 100 108 115 120 124 128 135 138 144 150 155 160 180 184 186 192 200 207 216 225 230 240 248 270 276 279 288 300 310 320 345 360 368 372 384 400 414 432 450 460 465 480 496 540 552 558 575 576 600 620 621 640 675 690 713 720 736 744 775 800 828 837 864 900 920 930 960 992 1035 1080 1104 1116 1150 1152 1200 1240 1242 1350 1380 1395 1426 1440 1472 1488 1550 1600 1656 1674 1725 1728 1800 1840 1860 1920 1984 2070 2139 2160 2208 2232 2300 2325 2400 2480 2484 2700 2760 2790 2852 2880 2944 2976 3100 3105 3200 3312 3348 3450 3456 3565 3600 3680 3720 3968 4140 4185 4278 4320 4416 4464 4600 4650 4800 4960 4968 5175 5400 5520 5580 5704 5760 5952 6200 6210 6417 6624 6696 6900 6975 7130 7200 7360 7440 8280 8370 8556 8640 8832 8928 9200 9300 9600 9920 9936 10350 10695 10800 11040 11160 11408 11904 12400 12420 12834 13248 13392 13800 13950 14260 14400 14720 14880 15525 16560 16740 17112 17280 17825 17856 18400 18600 19251 19840 19872 20700 20925 21390 21600 22080 22320 22816 24800 24840 25668 26496 26784 27600 27900 28520 28800 29760 31050 32085 33120 33149 33480 34224 35650 35712 36800 37200 38502 39744 41400 41850 42780 43200 44160 44640 45632 49600 49680 51336 53475 53568 55200 55800 57040 59520 62100 64170 66240 66298 66960 68448 71300 73600 74400 77004 79488 82800 83700 85560 86400 89280 91264 96255 99200 99360 99447 102672 106950 107136 110400 111600 114080 124200 128340 132480 132596 133920 136896 142600 148800 154008 160425 165600 165745 167400 171120 178560 192510 198720 198894 205344 213900 220800 223200 228160 248400 256680 265192 267840 273792 285200 297600 298341 308016 320850 331200 331490 334800 342240 385020 397440 397788 410688 427800 446400 456320 481275 496800 497235 513360 530384 535680 570400 596682 616032 641700 662400 662980 669600 684480 762427 770040 795576 821376 828725 855600 892800 895023 962550 993600 994470 1026720 1027619 1060768 1140800 1193364 1232064 1283400 1325960 1339200 1368960 1491705 1524854 1540080 1591152 1657450 1711200 1790046 1925100 1987200 1988940 2053440 2055238 2121536 2281600 2287281 2386728 2464128 2486175 2566800 2651920 2678400 2983410 3049708 3080160 3082857 3182304 3314900 3422400 3580092 3812135 3850200 3977880 4106880 4110476 4243072 4475115 4574562 4773456 4972350 5133600 5138095 5303840 5966820 6099416 6160320 6165714 6364608 6629800 6844800 6861843 7160184 7458525 7624270 7700400 7955760 8220952 8950230 9149124 9248571 9546912 9944700 10267200 10276190 10607680 11436405 11933640 12198832 12320640 12331428 12729216 13259600 13723686 14320368 14917050 15248540 15400800 15414285 15911520 16441904 17900460 18298248 18497142 19060675 19093824 19889400 20534400 20552380 20585529 21215360 22375575 22872810 23635237 23867280 24397664 24662856 25690475 26519200 27447372 27745713 28640736 29834100 30497080 30801600 30828570 31823040 32883808 34309215 35800920 36596496 36994284 38121350 38187648 39778800 41104760 41171058 44751150 45745620 46242855 47270474 47734560 48795328 49325712 51380950 53038400 54894744 55491426 57182025 57281472 59668200 60994160 61603200 61657140 63646080 65767616 68618430 70905711 71601840 73192992 73988568 76242700 77071425 79557600 82209520 82342116 89502300 91491240 92485710 94540948 95469120 97590656 98651424 102761900 102927645 106076800 109789488 110982852 114364050 114562944 118176185 119336400 121988320 123314280 131535232 137236860 138728565 141811422 143203680 146385984 147977136 152485400 154142850 159115200 164419040 164684232 171546075 179004600 182982480 184971420 189081896 190938240 197302848 205523800 205855290 212717133 219578976 221965704 228728100 231214275 236352370 238672800 243976640 246628560 274473720 277457130 283622844 286407360 292771968 295954272 304970800 308285700 318230400 328838080 329368464 343092150 354528555 358009200 365964960 369942840 378163792 394605696 411047600 411710580 425434266 439157952 443931408 457456200 462428550 472704740 477345600 487953280 493257120 514638225 548947440 554914260 567245688 572814720 590880925 591908544 609941600 616571400 638151399 657676160 658736928 686184300 693642825 709057110 716018400 731929920 739885680 756327584 822095200 823421160 850868532 878315904 887862816 914912400 924857100 945409480 954691200 986514240 1029276450 1063585665 1097894880 1109828520 1134491376 1181761850 1183817088 1219883200 1233142800 1276302798 1317473856 1372368600 1387285650 1418114220 1432036800 1463859840 1479771360 1512655168 1644190400 1646842320 1701737064 1772642775 1775725632 1829824800 1849714200 1890818960 1973028480 2058552900 2127171330 2195789760 2219657040 2268982752 2363523700 2439766400 2466285600 2552605596 2634947712 2744737200 2774571300 2836228440 2864073600 2959542720 3025310336 3190756995 3288380800 3293684640 3403474128 3545285550 3551451264 3659649600 3699428400 3781637920 4117105800 4254342660 4391579520 4439314080 4537965504 4727047400 4932571200 5105211192 5317928325 5489474400 5549142600 5672456880 5919085440 6381513990 6587369280 6806948256 7090571100 7319299200 7398856800 7563275840 8234211600 8508685320 8878628160 9075931008 9454094800 9865142400 10210422384 10635856650 10978948800 11098285200 11344913760 12763027980 13174738560 13613896512 14181142200 14797713600 15126551680 15953784975 16468423200 17017370640 17757256320 18908189600 20420844768 21271713300 21957897600 22196570400 22689827520 25526055960 27227793024 28362284400 29595427200 31907569950 32936846400 34034741280 37816379200 40841689536 42543426600 44393140800 45379655040 51052111920 56724568800 63815139900 65873692800 68069482560 75632758400 81683379072 85086853200 88786281600 102104223840 113449137600 127630279800 136138965120 170173706400 204208447680 226898275200 255260559600 340347412800 408416895360 510521119200 680694825600 1021042238400 2042084476800
- Sum of all divisors σ(n): 8050199040000
- Sum of proper divisors (its aliquot sum) s(n): 6008114563200
- 2042084476800 is an abundant number, because the sum of its proper divisors (6008114563200) is greater than itself. Its abundance is 3966030086400
Bases of 2042084476800
- Binary: 111011011011101011011100001000111100000002
- Hexadecimal: 0x1DB75B84780
- Base-36: Q24CDEO0
Squares and roots of 2042084476800
- 2042084476800 squared (20420844768002) is 4170109010387529738240000
- 2042084476800 cubed (20420844768003) is 8515714876676184430758271352832000000
-
The
square root of 2042084476800 is 1429015.2122353351 -
The
cube root of 2042084476800 is 12686.9696613219
Scales and comparisons
How big is 2042084476800?- 2,042,084,476,800 seconds is equal to 64,931 years, 50 weeks, 3 days.
-
To count from 1 to 2,042,084,476,800 would take you about one hundred sixty-two thousand, three hundred twenty-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 2042084476800 cubic inches would be around 1057.2 feet tall.
Recreational maths with 2042084476800
- 2042084476800 backwards is 0086744802402
- 2042084476800 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2042084476800's digits is 45
- More coming soon!
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The information we have on file for 2042084476800 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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