2004792264031142400
2,004,792,264,031,142,400 is an even composite number composed of six prime numbers multiplied together.
2004792264031142400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 2004792264031142400:
29 × 3 × 52 × 139 × 4831 × 77747479
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 139 × 4831 × 77747479)See below for interesting mathematical facts about the number 2004792264031142400 from the Numbermatics database.
Names of 2004792264031142400
- Cardinal: 2004792264031142400 can be written as Two quintillion, four quadrillion, seven hundred ninety-two trillion, two hundred sixty-four billion, thirty-one million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.0047922640311424 × 1018
Factors of 2004792264031142400
Divisors of 2004792264031142400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 139 150 160 192 200 240 256 278 300 320 384 400 417 480 512 556 600 640 695 768 800 834 960 1112 1200 1280 1390 1536 1600 1668 1920 2085 2224 2400 2560 2780 3200 3336 3475 3840 4170 4448 4800 4831 5560 6400 6672 6950 7680 8340 8896 9600 9662 10425 11120 12800 13344 13900 14493 16680 17792 19200 19324 20850 22240 24155 26688 27800 28986 33360 35584 38400 38648 41700 44480 48310 53376 55600 57972 66720 71168 72465 77296 83400 88960 96620 106752 111200 115944 120775 133440 144930 154592 166800 177920 193240 213504 222400 231888 241550 266880 289860 309184 333600 355840 362325 386480 444800 463776 483100 533760 579720 618368 667200 671509 724650 772960 889600 927552 966200 1067520 1159440 1236736 1334400 1343018 1449300 1545920 1779200 1855104 1932400 2014527 2318880 2473472 2668800 2686036 2898600 3091840 3357545 3710208 3864800 4029054 4637760 5337600 5372072 5797200 6183680 6715090 7420416 7729600 8058108 9275520 10072635 10744144 11594400 12367360 13430180 15459200 16116216 16787725 18551040 20145270 21488288 23188800 26860360 30918400 32232432 33575450 37102080 40290540 42976576 46377600 50363175 53720720 61836800 64464864 67150900 77747479 80581080 85953152 92755200 100726350 107441440 128929728 134301800 155494958 161162160 171906304 185510400 201452700 214882880 233242437 257859456 268603600 310989916 322324320 343812608 388737395 402905400 429765760 466484874 515718912 537207200 621979832 644648640 777474790 805810800 859531520 932969748 1031437824 1074414400 1166212185 1243959664 1289297280 1554949580 1611621600 1719063040 1865939496 1943686975 2148828800 2332424370 2487919328 2578594560 3109899160 3223243200 3731878992 3887373950 4297657600 4664848740 4975838656 5157189120 5831060925 6219798320 6446486400 7463757984 7774747900 8595315200 9329697480 9951677312 10806899581 11662121850 12439596640 12892972800 14927515968 15549495800 18659394960 19903354624 21613799162 23324243700 24879193280 25785945600 29855031936 31098991600 32420698743 37318789920 39806709248 43227598324 46648487400 49758386560 54034497905 59710063872 62197983200 64841397486 74637579840 86455196648 93296974800 99516773120 108068995810 119420127744 124395966400 129682794972 149275159680 162103493715 172910393296 186593949600 199033546240 216137991620 248791932800 259365589944 270172489525 298550319360 324206987430 345820786592 373187899200 375598071049 432275983240 497583865600 518731179888 540344979050 597100638720 648413974860 691641573184 746375798400 751196142098 810517468575 864551966480 995167731200 1037462359776 1080689958100 1126794213147 1296827949720 1383283146368 1492751596800 1502392284196 1621034937150 1729103932960 1877990355245 2074924719552 2161379916200 2253588426294 2593655899440 2766566292736 2985503193600 3004784568392 3242069874300 3458207865920 3755980710490 4149849439104 4322759832400 4507176852588 5187311798880 5533132585472 5633971065735 6009569136784 6484139748600 6916415731840 7511961420980 8299698878208 8645519664800 9014353705176 9389951776225 10374623597760 11267942131470 12019138273568 12968279497200 13832831463680 15023922841960 16599397756416 17291039329600 18028707410352 18779903552450 20749247195520 22535884262940 24038276547136 25936558994400 27665662927360 28169855328675 30047845683920 34582078659200 36057414820704 37559807104900 41498494391040 45071768525880 48076553094272 51873117988800 52208131875811 56339710657350 60095691367840 69164157318400 72114829641408 75119614209800 82996988782080 90143537051760 96153106188544 103746235977600 104416263751622 112679421314700 120191382735680 138328314636800 144229659282816 150239228419600 156624395627433 180287074103520 192306212377088 207492471955200 208832527503244 225358842629400 240382765471360 261040659379055 288459318565632 300478456839200 313248791254866 360574148207040 414984943910400 417665055006488 450717685258800 480765530942720 522081318758110 576918637131264 600956913678400 626497582509732 721148296414080 783121978137165 835330110012976 901435370517600 961531061885440 1044162637516220 1201913827356800 1252995165019464 1305203296895275 1442296592828160 1566243956274330 1670660220025952 1802870741035200 2088325275032440 2403827654713600 2505990330038928 2610406593790550 2884593185656320 3132487912548660 3341320440051904 3605741482070400 3915609890685825 4176650550064880 4807655309427200 5011980660077856 5220813187581100 6264975825097320 6682640880103808 7211482964140800 7831219781371650 8353301100129760 10023961320155712 10441626375162200 12529951650194640 13365281760207616 14422965928281600 15662439562743300 16706602200259520 20047922640311424 20883252750324400 25059903300389280 26730563520415232 31324879125486600 33413204400519040 40095845280622848 41766505500648800 50119806600778560 62649758250973200 66826408801038080 80191690561245696 83533011001297600 100239613201557120 125299516501946400 133652817602076160 167066022002595200 200479226403114240 250599033003892800 334132044005190400 400958452806228480 501198066007785600 668264088010380800 1002396132015571200 2004792264031142400
- Sum of all divisors σ(n): 6671732136280780800
- Sum of proper divisors (its aliquot sum) s(n): 4666939872249638400
- 2004792264031142400 is an abundant number, because the sum of its proper divisors (4666939872249638400) is greater than itself. Its abundance is 2662147608218496000
Bases of 2004792264031142400
- Binary: 11011110100100111001111110001001110100000011100000010000000002
- Hexadecimal: 0x1BD273F13A070200
- Base-36: F8BZJNP5T0QO
Squares and roots of 2004792264031142400
- 2004792264031142400 squared (20047922640311424002) is 4019192021919113781205757049077760000
- 2004792264031142400 cubed (20047922640311424003) is 8057645073199125027920504133274383750773839233024000000
-
The
square root of 2004792264031142400 is 1415906869.8297718197 -
The
cube root of 2004792264031142400 is 1260926.5595989145
Scales and comparisons
How big is 2004792264031142400?- 2,004,792,264,031,142,400 seconds is equal to 63,746,192,766 years, 29 weeks, 2 hours, 40 minutes.
-
To count from 1 to 2,004,792,264,031,142,400 would take you about two hundred twenty-three billion, one hundred eleven million, six hundred seventy-four thousand, six hundred eighty-two 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 2004792264031142400 cubic inches would be around 105077.2 feet tall.
Recreational maths with 2004792264031142400
- 2004792264031142400 backwards is 0042411304622974002
- The number of decimal digits it has is: 19
- The sum of 2004792264031142400's digits is 51
- 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 2004792264031142400 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 2004792264031142400 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/2004792264031142400/
Chicago style:
Numbermatics. 2024. "Number 2004792264031142400 - Facts about the integer". https://numbermatics.com/n/2004792264031142400/
The information we have on file for 2004792264031142400 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 2004792264031142400, math, Factors of 2004792264031142400, curriculum, school, college, exams, university, Prime factorization of 2004792264031142400, STEM, science, technology, engineering, physics, economics, calculator, two quintillion, four quadrillion, seven hundred ninety-two trillion, two hundred sixty-four billion, thirty-one million, one hundred forty-two thousand, four hundred.