13140668134529084800
13,140,668,134,529,084,800 is an even composite number composed of five prime numbers multiplied together.
13140668134529084800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13140668134529084800:
27 × 52 × 711 × 373 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 37 × 37 × 37 × 41)See below for interesting mathematical facts about the number 13140668134529084800 from the Numbermatics database.
Names of 13140668134529084800
- Cardinal: 13140668134529084800 can be written as Thirteen quintillion, one hundred forty quadrillion, six hundred sixty-eight trillion, one hundred thirty-four billion, five hundred twenty-nine million, eighty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.31406681345290848 × 1019
Factors of 13140668134529084800
Divisors of 13140668134529084800
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 41 49 50 56 64 70 74 80 82 98 100 112 128 140 148 160 164 175 185 196 200 205 224 245 259 280 287 296 320 328 343 350 370 392 400 410 448 490 518 560 574 592 640 656 686 700 740 784 800 820 896 925 980 1025 1036 1120 1148 1184 1225 1295 1312 1369 1372 1400 1435 1480 1517 1568 1600 1640 1715 1813 1850 1960 2009 2050 2072 2240 2296 2368 2401 2450 2590 2624 2738 2744 2800 2870 2960 3034 3136 3200 3280 3430 3626 3700 3920 4018 4100 4144 4480 4592 4736 4802 4900 5180 5248 5476 5488 5600 5740 5920 6068 6272 6475 6560 6845 6860 7175 7252 7400 7585 7840 8036 8200 8288 8575 9065 9184 9583 9604 9800 10045 10360 10619 10952 10976 11200 11480 11840 12005 12136 12691 12950 13120 13690 13720 14063 14350 14504 14800 15170 15680 16072 16400 16576 16807 17150 18130 18368 19166 19208 19600 20090 20720 21238 21904 21952 22400 22960 23680 24010 24272 25382 25900 26240 27380 27440 28126 28700 29008 29600 30340 31360 32144 32800 33152 33614 34225 34300 36260 36736 37925 38332 38416 39200 40180 41440 42476 43808 43904 45325 45920 47915 48020 48544 50225 50653 50764 51800 53095 54760 54880 56129 56252 57400 58016 59200 60025 60680 63455 64288 65600 67081 67228 68450 68600 70315 72520 74333 75850 76664 76832 78400 80360 82880 84035 84952 87616 88837 90650 91840 95830 96040 97088 98441 100450 101306 101528 103600 106190 109520 109760 112258 112504 114800 116032 117649 118400 120050 121360 126910 128576 131200 134162 134456 136900 137200 140630 145040 148666 151700 153328 153664 156800 160720 165760 168070 169904 175232 177674 181300 183680 191660 192080 194176 196882 200900 202612 203056 207200 212380 219040 219520 224516 225008 229600 232064 235298 239575 240100 242720 253265 253820 257152 265475 268324 268912 273800 274400 280645 281260 290080 297332 303400 306656 307328 317275 321440 335405 336140 339808 351575 354571 355348 362600 371665 383320 384160 392903 393764 401800 405224 406112 414400 420175 424760 438080 444185 449032 450016 459200 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43311364978672 44195270386400 45300152146060 46720714408480 46823097274240 47888732268692 47993674706096 48866053335400 48973137455200 49498702832768 51100781384275 51771602452640 51885053736320 54139206223340 54729979735648 54849913949824 55846918097600 56625190182575 57232875150388 58400893010600 58528871592800 59860915335865 59992093382620 61873378540960 63420213004484 64714503065800 64856317170400 65409000171872 66743877726400 67674007779175 68412474669560 68562392437280 71541093937985 72480243433696 73959432075200 74990116728275 77341723176200 78185685336640 79275266255605 81761250214840 83805281470211 85515593336950 85702990546600 86622729957344 88390540772800 90600304292120 93441428816960 95777464537384 95987349412192 97732106670800 97946274910400 100157531513179 102201562768550 103543204905280 108278412446680 109459959471296 110985372757847 111693836195200 113250380365150 114465750300776 116801786021200 117057743185600 119721830671730 119984186765240 123746757081920 126840426008968 129429006131600 129712634340800 130818000343744 133487755452800 135348015558350 136824949339120 137124784874560 143082187875970 144960486867392 147918864150400 149980233456550 154683446352400 156371370673280 158550532511210 163522500429680 167610562940422 171031186673900 171405981093200 173245459914688 176781081545600 181200608584240 186882857633920 191554929074768 191974698824384 195464213341600 195892549820800 200315063026358 204403125537100 207086409810560 216556824893360 218919918942592 221970745515694 226500760730300 228931500601552 233603572042400 234115486371200 239443661343460 239968373530480 247493514163840 253680852017936 258858012263200 259425268681600 261636000687488 270696031116700 273649898678240 274249569749120 286164375751940 289920973734784 299304576679325 299960466913100 309366892704800 317101065022420 327045000859360 335221125880844 342062373347800 342811962186400 346490919829376 357705469689925 362401217168480 383109858149536 383949397648768 390928426683200 396376331278025 400630126052716 408806251074200 419026407351055 433113649786720 443941491031388 453001521460600 457863001203104 467207144084800 478887322686920 479936747060960 500787657565895 507361704035872 517716024526400 541392062233400 547299797356480 554926863789235 572328751503880 586636970291477 598609153358650 599920933826200 618733785409600 634202130044840 654090001718720 670442251761688 684124746695600 685623924372800 715410939379850 724802434336960 766219716299072 781856853366400 792752662556050 801260252105432 817612502148400 838052814702110 866227299573440 887882982062776 906003042921200 915726002406208 934414288169600 957774645373840 959873494121920 1001575315131790 1014723408071744 1035432049052800 1082784124466800 1094599594712960 1109853727578470 1144657503007760 1173273940582954 1197218306717300 1199841867652400 1237467570819200 1268404260089680 1308180003437440 1340884503523376 1368249493391200 1371247848745600 1430821878759700 1449604868673920 1532439432598144 1585505325112100 1602520504210864 1635225004296800 1676105629404220 1732454599146880 1775765964125552 1812006085842400 1831452004812416 1915549290747680 1919746988243840 2003150630263580 2029446816143488 2095132036755275 2165568248933600 2219707455156940 2289315006015520 2346547881165908 2394436613434600 2399683735304800 2503938287829475 2536808520179360 2681769007046752 2736498986782400 2774634318946175 2861643757519400 2933184851457385 3171010650224200 3205041008421728 3270450008593600 3352211258808440 3551531928251104 3624012171684800 3831098581495360 4006301260527160 4106458792040339 4190264073510550 4331136497867200 4439414910313880 4578630012031040 4693095762331816 4788873226869200 4799367470609600 5007876575658950 5073617040358720 5363538014093504 5472997973564800 5549268637892350 5723287515038800 5866369702914770 6342021300448400 6410082016843456 6540900017187200 6704422517616880 7103063856502208 7248024343369600 7662197162990720 8012602521054320 8212917584080678 8380528147021100 8662272995734400 8878829820627760 9157260024062080 9386191524663632 9577746453738400 9598734941219200 10015753151317900 10147234080717440 10727076028187008 11098537275784700 11446575030077600 11732739405829540 12684042600896800 12820164033686912 13408845035233760 14206127713004416 14665924257286925 16025205042108640 16425835168161356 16761056294042200 17757659641255520 18772383049327264 19155492907476800 20031506302635800 20532293960201695 22197074551569400 22893150060155200 23465478811659080 25368085201793600 26817690070467520 29331848514573850 32050410084217280 32851670336322712 33522112588084400 35515319282511040 37544766098654528 38310985814953600 40063012605271600 41064587920403390 44394149103138800 45786300120310400 46930957623318160 50736170403587200 53635380140935040 58663697029147700 64100820168434560 65703340672645424 67044225176168800 71030638565022080 75089532197309056 80126025210543200 82129175840806780 88788298206277600 93861915246636320 102661469801008475 117327394058295400 131406681345290848 134088450352337600 160252050421086400 164258351681613560 177576596412555200 187723830493272640 205322939602016950 234654788116590800 262813362690581696 268176900704675200 320504100842172800 328516703363227120 355153192825110400 375447660986545280 410645879204033900 469309576233181600 525626725381163392 657033406726454240 821291758408067800 938619152466363200 1314066813452908480 1642583516816135600 1877238304932726400 2628133626905816960 3285167033632271200 6570334067264542400 13140668134529084800
- Sum of all divisors σ(n): 39873151072656720000
- Sum of proper divisors (its aliquot sum) s(n): 26732482938127635200
- 13140668134529084800 is an abundant number, because the sum of its proper divisors (26732482938127635200) is greater than itself. Its abundance is 13591814803598550400
Bases of 13140668134529084800
- Binary: 10110110010111010000100000001011110011011110011010101101100000002
- Hexadecimal: 0xB65D080BCDE6AD80
- Base-36: 2RU4A36UTO0HS
Squares and roots of 13140668134529084800
- 13140668134529084800 squared (131406681345290848002) is 172677159021828097499367457125591040000
- 13140668134529084800 cubed (131406681345290848003) is 2269093241119147951381415143606698746423721270280192000000
-
The
square root of 13140668134529084800 is 3625005949.5853361703 -
The
cube root of 13140668134529084800 is 2359785.2513663939
Scales and comparisons
How big is 13140668134529084800?- 13,140,668,134,529,084,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,140,668,134,529,084,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13140668134529084800 cubic inches would be around 196648.8 feet tall.
Recreational maths with 13140668134529084800
- 13140668134529084800 backwards is 00848092543186604131
- The number of decimal digits it has is: 20
- The sum of 13140668134529084800's digits is 73
- More coming soon!
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"Number 13140668134529084800 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 13140668134529084800 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/13140668134529084800/
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Numbermatics. 2024. "Number 13140668134529084800 - Facts about the integer". https://numbermatics.com/n/13140668134529084800/
The information we have on file for 13140668134529084800 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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