82968124608000
82,968,124,608,000 is an even composite number composed of five prime numbers multiplied together.
82968124608000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 82968124608000:
29 × 33 × 53 × 1932 × 1289
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 193 × 193 × 1289)See below for interesting mathematical facts about the number 82968124608000 from the Numbermatics database.
Names of 82968124608000
- Cardinal: 82968124608000 can be written as Eighty-two trillion, nine hundred sixty-eight billion, one hundred twenty-four million, six hundred eight thousand.
Scientific notation
- Scientific notation: 8.2968124608 × 1013
Factors of 82968124608000
Divisors of 82968124608000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 128 135 144 150 160 180 192 193 200 216 225 240 250 256 270 288 300 320 360 375 384 386 400 432 450 480 500 512 540 576 579 600 640 675 720 750 768 772 800 864 900 960 965 1000 1080 1125 1152 1158 1200 1280 1289 1350 1440 1500 1536 1544 1600 1728 1737 1800 1920 1930 2000 2160 2250 2304 2316 2400 2560 2578 2700 2880 2895 3000 3088 3200 3375 3456 3474 3600 3840 3860 3867 4000 4320 4500 4608 4632 4800 4825 5156 5211 5400 5760 5790 6000 6176 6400 6445 6750 6912 6948 7200 7680 7720 7734 8000 8640 8685 9000 9264 9600 9650 10312 10422 10800 11520 11580 11601 12000 12352 12800 12890 13500 13824 13896 14400 14475 15440 15468 16000 17280 17370 18000 18528 19200 19300 19335 20624 20844 21600 23040 23160 23202 24000 24125 24704 25780 26055 27000 27792 28800 28950 30880 30936 32000 32225 34560 34740 34803 36000 37056 37249 38400 38600 38670 41248 41688 43200 43425 46320 46404 48000 48250 49408 51560 52110 54000 55584 57600 57900 58005 61760 61872 64000 64450 69120 69480 69606 72000 72375 74112 74498 77200 77340 82496 83376 86400 86850 92640 92808 96000 96500 96675 98816 103120 104220 108000 111168 111747 115200 115800 116010 123520 123744 128900 130275 138960 139212 144000 144750 148224 148996 154400 154680 161125 164992 166752 172800 173700 174015 185280 185616 186245 192000 193000 193350 206240 208440 216000 217125 222336 223494 231600 232020 247040 247488 248777 257800 260550 277920 278424 288000 289500 290025 296448 297992 308800 309360 322250 329984 333504 335241 345600 347400 348030 370560 371232 372490 386000 386700 412480 416880 432000 434250 444672 446988 463200 464040 483375 494080 494976 497554 515600 521100 555840 556848 558735 576000 579000 580050 595984 617600 618720 644500 651375 659968 667008 670482 694800 696060 741120 742464 744980 746331 772000 773400 824960 833760 864000 868500 870075 889344 893976 926400 928080 931225 966750 989952 995108 1005723 1031200 1042200 1111680 1113696 1117470 1158000 1160100 1191968 1235200 1237440 1243885 1289000 1302750 1334016 1340964 1389600 1392120 1450125 1482240 1484928 1489960 1492662 1544000 1546800 1649920 1667520 1676205 1728000 1737000 1740150 1787952 1852800 1856160 1862450 1933500 1979904 1990216 2011446 2062400 2084400 2223360 2227392 2234940 2238993 2316000 2320200 2383936 2470400 2474880 2487770 2578000 2605500 2668032 2681928 2779200 2784240 2793675 2900250 2969856 2979920 2985324 3088000 3093600 3299840 3335040 3352410 3474000 3480300 3575904 3705600 3712320 3724900 3731655 3867000 3980432 4022892 4124800 4168800 4350375 4446720 4454784 4469880 4477986 4632000 4640400 4656125 4767872 4949760 4975540 5028615 5156000 5211000 5363856 5558400 5568480 5587350 5800500 5939712 5959840 5970648 6176000 6187200 6219425 6670080 6704820 6716979 6948000 6960600 7151808 7411200 7424640 7449800 7463310 7734000 7960864 8045784 8249600 8337600 8381025 8700750 8909568 8939760 8955972 9264000 9280800 9312250 9535744 9899520 9951080 10057230 10312000 10422000 10727712 11116800 11136960 11174700 11194965 11601000 11919680 11941296 12352000 12374400 12438850 13340160 13409640 13433958 13896000 13921200 13968375 14303616 14849280 14899600 14926620 15468000 15921728 16091568 16499200 16675200 16762050 17401500 17819136 17879520 17911944 18528000 18561600 18624500 18658275 19071488 19902160 20114460 20624000 20844000 21455424 22233600 22273920 22349400 22389930 23202000 23839360 23882592 24748800 24877700 25143075 26819280 26867916 27792000 27842400 27936750 28607232 29698560 29799200 29853240 30936000 31097125 31843456 32183136 33350400 33524100 33584895 34803000 35759040 35823888 37056000 37123200 37249000 37316550 39804320 40228920 41248000 41688000 41905125 42910848 44547840 44698800 44779860 46404000 47678720 47765184 48013961 49497600 49755400 50286150 53638560 53735832 55584000 55684800 55873500 55974825 57214464 59598400 59706480 61872000 62194250 63686912 64366272 66700800 67048200 67169790 69606000 71518080 71647776 74246400 74498000 74633100 79608640 80457840 82496000 83376000 83810250 85821696 89095680 89397600 89559720 92808000 93291375 95357440 95530368 96027922 99510800 100572300 107277120 107471664 111168000 111369600 111747000 111949650 119196800 119412960 123744000 124388500 125715375 127373824 128732544 134096400 134339580 139212000 143036160 143295552 144041883 148492800 148996000 149266200 159217280 160915680 166752000 167620500 167924475 171643392 178795200 179119440 185616000 186582750 191060736 192055844 199021600 201144600 214554240 214943328 222739200 223494000 223899300 238393600 238825920 240069805 247488000 248777000 251430750 257465088 268192800 268679160 278424000 279874125 286072320 286591104 288083766 297992000 298532400 318434560 321831360 333504000 335241000 335848950 357590400 358238880 371232000 373165500 382121472 384111688 398043200 402289200 429108480 429886656 432125649 445478400 446988000 447798600 476787200 477651840 480139610 497554000 502861500 514930176 536385600 537358320 556848000 559748250 573182208 576167532 595984000 597064800 636869120 643662720 670482000 671697900 715180800 716477760 720209415 742464000 746331000 768223376 796086400 804578400 839622375 858216960 859773312 864251298 893976000 895597200 955303680 960279220 995108000 1005723000 1072771200 1074716640 1113696000 1119496500 1146364416 1152335064 1191968000 1194129600 1200349025 1287325440 1296376947 1340964000 1343395800 1430361600 1432955520 1440418830 1492662000 1536446752 1592172800 1609156800 1679244750 1719546624 1728502596 1787952000 1791194400 1910607360 1920558440 1990216000 2011446000 2145542400 2149433280 2160628245 2227392000 2238993000 2304670128 2383936000 2388259200 2400698050 2574650880 2592753894 2681928000 2686791600 2865911040 2880837660 2985324000 3072893504 3184345600 3218313600 3358489500 3439093248 3457005192 3575904000 3582388800 3601047075 3841116880 3980432000 4022892000 4291084800 4298866560 4321256490 4477986000 4609340256 4776518400 4801396100 5185507788 5363856000 5373583200 5731822080 5761675320 5970648000 6001745125 6145787008 6436627200 6481884735 6716979000 6914010384 7151808000 7164777600 7202094150 7682233760 7960864000 8045784000 8597733120 8642512980 8955972000 9218680512 9553036800 9602792200 10371015576 10727712000 10747166400 10803141225 11523350640 11941296000 12003490250 12291574016 12873254400 12963769470 13433958000 13828020768 14329555200 14404188300 15364467520 15921728000 16091568000 17195466240 17285025960 17911944000 18005235375 18437361024 19205584400 20742031152 21455424000 21494332800 21606282450 23046701280 23882592000 24006980500 24583148032 25927538940 26867916000 27656041536 28659110400 28808376600 30728935040 32183136000 32409423675 34570051920 35823888000 36010470750 36874722048 38411168800 41484062304 42988665600 43212564900 46093402560 47765184000 48013961000 51855077880 53735832000 54015706125 55312083072 57616753200 61457870080 64366272000 64818847350 69140103840 71647776000 72020941500 73749444096 76822337600 82968124608 85977331200 86425129800 92186805120 96027922000 103710155760 107471664000 108031412250 110624166144 115233506400 122915740160 129637694700 138280207680 143295552000 144041883000 153644675200 162047118375 165936249216 172850259600 184373610240 192055844000 207420311520 214943328000 216062824500 221248332288 230467012800 259275389400 276560415360 288083766000 307289350400 324094236750 331872498432 345700519200 368747220480 384111688000 414840623040 429886656000 432125649000 460934025600 518550778800 553120830720 576167532000 614578700800 648188473500 663744996864 691401038400 768223376000 829681246080 864251298000 921868051200 1037101557600 1106241661440 1152335064000 1296376947000 1382802076800 1536446752000 1659362492160 1728502596000 1843736102400 2074203115200 2304670128000 2592753894000 2765604153600 3072893504000 3318724984320 3457005192000 4148406230400 4609340256000 5185507788000 5531208307200 6914010384000 8296812460800 9218680512000 10371015576000 13828020768000 16593624921600 20742031152000 27656041536000 41484062304000 82968124608000
- Sum of all divisors σ(n): 308333399774400
- Sum of proper divisors (its aliquot sum) s(n): 225365275166400
- 82968124608000 is an abundant number, because the sum of its proper divisors (225365275166400) is greater than itself. Its abundance is 142397150558400
Bases of 82968124608000
- Binary: 100101101110101100001011001100001001110000000002
- Hexadecimal: 0x4B7585984E00
- Base-36: TER137UO0
Squares and roots of 82968124608000
- 82968124608000 squared (829681246080002) is 6883709700968615153664000000
- 82968124608000 cubed (829681246080003) is 571128484235262480366391819763712000000000
-
The
square root of 82968124608000 is 9108684.0217454025 -
The
cube root of 82968124608000 is 43615.1219548799
Scales and comparisons
How big is 82968124608000?- 82,968,124,608,000 seconds is equal to 2,638,129 years, 37 weeks, 5 days.
-
To count from 1 to 82,968,124,608,000 would take you about six million, five hundred ninety-five thousand, three hundred twenty-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 82968124608000 cubic inches would be around 3634.6 feet tall.
Recreational maths with 82968124608000
- 82968124608000 backwards is 00080642186928
- 82968124608000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 82968124608000's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 82968124608000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 82968124608000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/82968124608000/
Chicago style:
Numbermatics. 2024. "Number 82968124608000 - Facts about the integer". https://numbermatics.com/n/82968124608000/
The information we have on file for 82968124608000 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!
Keywords: Divisors of 82968124608000, math, Factors of 82968124608000, curriculum, school, college, exams, university, Prime factorization of 82968124608000, STEM, science, technology, engineering, physics, economics, calculator, eighty-two trillion, nine hundred sixty-eight billion, one hundred twenty-four million, six hundred eight thousand.