13268916864000
13,268,916,864,000 is an even composite number composed of six prime numbers multiplied together.
13268916864000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 13268916864000:
210 × 32 × 53 × 7 × 59 × 1672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 59 × 167 × 167)See below for interesting mathematical facts about the number 13268916864000 from the Numbermatics database.
Names of 13268916864000
- Cardinal: 13268916864000 can be written as Thirteen trillion, two hundred sixty-eight billion, nine hundred sixteen million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.3268916864 × 1013
Factors of 13268916864000
Divisors of 13268916864000
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 59 60 63 64 70 72 75 80 84 90 96 100 105 112 118 120 125 126 128 140 144 150 160 167 168 175 177 180 192 200 210 224 225 236 240 250 252 256 280 288 295 300 315 320 334 336 350 354 360 375 384 400 413 420 448 450 472 480 500 501 504 512 525 531 560 576 590 600 630 640 668 672 700 708 720 750 768 800 826 835 840 875 885 896 900 944 960 1000 1002 1008 1024 1050 1062 1120 1125 1152 1169 1180 1200 1239 1260 1280 1336 1344 1400 1416 1440 1475 1500 1503 1536 1575 1600 1652 1670 1680 1750 1770 1792 1800 1888 1920 2000 2004 2016 2065 2100 2124 2240 2250 2304 2338 2360 2400 2478 2505 2520 2560 2625 2655 2672 2688 2800 2832 2880 2950 3000 3006 3072 3150 3200 3304 3340 3360 3500 3507 3540 3584 3600 3717 3776 3840 4000 4008 4032 4130 4175 4200 4248 4425 4480 4500 4608 4676 4720 4800 4956 5010 5040 5120 5250 5310 5344 5376 5600 5664 5760 5845 5900 6000 6012 6195 6300 6400 6608 6680 6720 7000 7014 7080 7168 7200 7375 7434 7515 7552 7680 7875 8000 8016 8064 8260 8350 8400 8496 8850 8960 9000 9216 9352 9440 9600 9853 9912 10020 10080 10325 10500 10521 10620 10688 10752 11200 11328 11520 11690 11800 12000 12024 12390 12525 12600 12800 13216 13275 13360 13440 14000 14028 14160 14400 14750 14868 15030 15104 15360 15750 16000 16032 16128 16520 16700 16800 16992 17535 17700 17920 18000 18585 18704 18880 19200 19706 19824 20040 20160 20650 20875 21000 21042 21240 21376 21504 22125 22400 22656 23040 23380 23600 24000 24048 24780 25050 25200 25600 26432 26550 26720 26880 27889 28000 28056 28320 28800 29225 29500 29559 29736 30060 30208 30975 31500 32000 32064 32256 33040 33400 33600 33984 35070 35400 35840 36000 37170 37408 37575 37760 38400 39412 39648 40080 40320 41300 41750 42000 42084 42480 42752 44250 44800 45312 46080 46760 47200 48000 48096 49265 49560 50100 50400 51625 52605 52864 53100 53440 53760 55778 56000 56112 56640 57600 58450 59000 59118 59472 60120 60416 61950 62625 63000 64000 64128 64512 66080 66375 66800 67200 67968 68971 70140 70800 72000 74340 74816 75150 75520 76800 78824 79296 80160 80640 82600 83500 83667 84000 84168 84960 85504 87675 88500 88677 89600 90624 92925 93520 94400 96000 96192 98530 99120 100200 100800 103250 105210 105728 106200 106880 107520 111556 112000 112224 113280 115200 116900 118000 118236 118944 120240 123900 125250 126000 128000 128256 132160 132750 133600 134400 135936 137942 139445 140280 141600 144000 146125 147795 148680 149632 150300 151040 154875 157648 158592 160320 161280 165200 167000 167334 168000 168336 169920 171008 175350 177000 177354 179200 181248 185850 187040 187875 188800 192000 192384 195223 197060 198240 200400 201600 206500 206913 210420 211456 212400 213760 223112 224000 224448 226560 230400 233800 236000 236472 237888 240480 246325 247800 250500 251001 252000 256512 263025 264320 265500 267200 268800 271872 275884 278890 280560 283200 288000 292250 295590 297360 299264 300600 302080 309750 315296 317184 320640 322560 330400 334000 334668 336000 336672 339840 344855 350700 354000 354708 371700 374080 375750 377600 384000 384768 390446 394120 396480 400800 403200 413000 413826 418335 420840 422912 424800 427520 438375 443385 446224 448000 448896 453120 464625 467600 472000 472944 475776 480960 492650 495600 501000 502002 504000 513024 526050 528640 531000 534400 537600 543744 551768 557780 561120 566400 576000 584500 585669 591180 594720 598528 601200 619500 620739 630592 634368 641280 660800 668000 669336 672000 673344 679680 689710 697225 701400 708000 709416 738975 743400 748160 751500 755200 769536 780892 788240 792960 801600 806400 826000 827652 836670 841680 849600 855040 876750 886770 892448 896000 897792 906240 929250 935200 944000 945888 951552 961920 976115 985300 991200 1002000 1004004 1008000 1034565 1052100 1057280 1062000 1068800 1103536 1115560 1122240 1132800 1152000 1169000 1171338 1182360 1189440 1197056 1202400 1231625 1239000 1241478 1255005 1261184 1268736 1282560 1315125 1321600 1336000 1338672 1344000 1346688 1359360 1379420 1394450 1402800 1416000 1418832 1477950 1486800 1496320 1503000 1510400 1539072 1561784 1576480 1585920 1603200 1612800 1645451 1652000 1655304 1673340 1683360 1699200 1724275 1753500 1757007 1773540 1784896 1795584 1858500 1870400 1888000 1891776 1903104 1923840 1952230 1970600 1982400 2004000 2008008 2016000 2069130 2091675 2104200 2114560 2124000 2137600 2207072 2216925 2231120 2244480 2265600 2338000 2342676 2364720 2378880 2404800 2463250 2478000 2482956 2510010 2522368 2565120 2630250 2643200 2672000 2677344 2688000 2693376 2718720 2758840 2788900 2805600 2832000 2837664 2928345 2955900 2973600 2992640 3006000 3103695 3123568 3152960 3171840 3206400 3290902 3304000 3310608 3346680 3366720 3398400 3448550 3486125 3507000 3514014 3547080 3569792 3591168 3694875 3717000 3740800 3776000 3783552 3806208 3847680 3904460 3941200 3964800 4008000 4016016 4032000 4138260 4183350 4208400 4248000 4275200 4414144 4433850 4462240 4488960 4531200 4676000 4685352 4729440 4757760 4809600 4880575 4926500 4936353 4956000 4965912 5020020 5044736 5172825 5260500 5286400 5344000 5354688 5386752 5517680 5577800 5611200 5664000 5675328 5856690 5911800 5947200 5985280 6012000 6207390 6247136 6275025 6305920 6343680 6412800 6581804 6608000 6621216 6693360 6733440 6796800 6897100 6972250 7014000 7028028 7094160 7139584 7389750 7434000 7481600 7552000 7567104 7695360 7808920 7882400 7929600 8016000 8032032 8064000 8227255 8276520 8366700 8416800 8496000 8621375 8785035 8828288 8867700 8924480 8977920 9352000 9370704 9458880 9515520 9619200 9761150 9853000 9872706 9912000 9931824 10040040 10089472 10345650 10458375 10521000 10572800 10688000 10709376 10773504 11035360 11084625 11155600 11222400 11328000 11350656 11518157 11713380 11823600 11894400 12024000 12414780 12494272 12550050 12611840 12825600 13163608 13216000 13242432 13386720 13466880 13593600 13794200 13944500 14028000 14056056 14188320 14279168 14641725 14779500 14809059 14868000 14963200 15134208 15518475 15617840 15764800 15859200 16032000 16064064 16454510 16553040 16733400 16833600 16992000 17242750 17570070 17656576 17735400 17848960 17955840 18704000 18741408 18917760 19031040 19238400 19522300 19706000 19745412 19824000 19863648 20080080 20691300 20916750 21042000 21376000 21418752 22070720 22169250 22311200 22444800 22656000 22701312 23036314 23426760 23647200 23788800 24048000 24402875 24681765 24829560 24988544 25100100 25223680 25864125 26327216 26432000 26484864 26773440 26933760 27588400 27889000 28056000 28112112 28376640 28558336 29283450 29559000 29618118 29736000 29926400 30268416 31036950 31235680 31375125 31529600 31718400 32064000 32128128 32909020 33106080 33466800 33667200 33984000 34485500 34554471 35140140 35313152 35470800 35697920 37408000 37482816 37835520 38476800 39044600 39412000 39490824 39648000 39727296 40160160 41136275 41382600 41833500 42084000 42837504 43925175 44141440 44338500 44622400 44889600 45402624 46072628 46853520 47294400 47577600 48096000 48805750 49363530 49659120 49977088 50200200 50447360 51728250 52654432 52864000 52969728 53546880 53867520 55176800 55778000 56112000 56224224 56753280 57590785 58566900 59118000 59236236 59472000 62073900 62471360 62750250 63059200 64128000 64256256 65818040 66212160 66933600 67334400 67968000 68971000 69108942 70280280 70626304 70941600 71395840 73208625 74045295 74816000 74965632 75671040 77592375 78089200 78824000 78981648 79296000 79454592 80320320 82272550 82765200 83667000 84168000 85675008 87850350 88282880 88677000 89244800 89779200 90805248 92145256 93707040 94588800 95155200 96192000 97611500 98727060 99318240 99954176 100400400 103456500 103663413 105308864 105939456 107093760 110353600 111556000 112224000 112448448 113506560 115181570 117133800 118236000 118472472 118944000 123408825 124147800 124942720 125500500 126118400 128512512 131636080 132424320 133867200 134668800 137942000 138217884 140560560 141883200 142791680 146417250 148090590 149632000 149931264 151342080 155184750 156178400 157648000 157963296 158592000 158909184 160640640 164545100 165530400 167334000 168336000 172772355 175700700 176565760 177354000 178489600 184290512 187414080 189177600 192384000 195223000 197454120 198636480 199908352 200800800 205681375 206913000 207326826 210617728 211878912 214187520 219625875 220707200 223112000 224448000 224896896 227013120 230363140 234267600 236472000 236944944 237888000 246817650 248295600 249885440 251001000 252236800 257025024 263272160 264848640 267734400 269337600 275884000 276435768 281121120 283766400 287953925 292834500 296181180 299862528 310369500 312356800 315296000 315926592 317818368 321281280 329090200 331060800 334668000 336672000 345544710 351401400 353131520 354708000 356979200 368581024 370226475 374828160 378355200 390446000 394908240 397272960 401601600 411362750 413826000 414653652 421235456 428375040 439251750 441414400 446224000 448896000 449793792 454026240 460726280 468535200 472944000 473889888 475776000 493635300 496591200 499770880 502002000 518317065 526544320 529697280 535468800 551768000 552871536 562242240 567532800 575907850 585669000 592362360 599725056 617044125 620739000 624713600 630592000 631853184 635636736 642562560 658180400 662121600 669336000 673344000 691089420 702802800 709416000 713958400 737162048 740452950 749656320 756710400 780892000 789816480 794545920 803203200 822725500 827652000 829307304 842470912 863861775 878503500 882828800 892448000 899587584 921452560 937070400 945888000 947779776 987270600 993182400 999541760 1004004000 1036634130 1053088640 1059394560 1070937600 1103536000 1105743072 1124484480 1135065600 1151815700 1171338000 1184724720 1234088250 1241478000 1249427200 1261184000 1263706368 1285125120 1316360800 1324243200 1338672000 1346688000 1382178840 1405605600 1418832000 1439769625 1474324096 1480905900 1499312640 1561784000 1579632960 1589091840 1606406400 1645451000 1655304000 1658614608 1684941824 1727723550 1757007000 1765657600 1784896000 1799175168 1842905120 1851132375 1874140800 1891776000 1895559552 1974541200 1986364800 2008008000 2073268260 2106177280 2141875200 2207072000 2211486144 2248968960 2270131200 2303631400 2342676000 2369449440 2468176500 2482956000 2498854400 2527412736 2591585325 2632721600 2648486400 2677344000 2764357680 2811211200 2837664000 2879539250 2948648192 2961811800 2998625280 3123568000 3159265920 3178183680 3212812800 3290902000 3310608000 3317229216 3455447100 3514014000 3569792000 3685810240 3702264750 3748281600 3783552000 3791119104 3949082400 3972729600 4016016000 4146536520 4212354560 4319308875 4414144000 4422972288 4497937920 4607262800 4685352000 4738898880 4936353000 4965912000 4997708800 5054825472 5183170650 5265443200 5296972800 5354688000 5528715360 5622422400 5675328000 5759078500 5897296384 5923623600 6247136000 6318531840 6425625600 6581804000 6621216000 6634458432 6910894200 7028028000 7371620480 7404529500 7496563200 7582238208 7898164800 7945459200 8032032000 8293073040 8424709120 8638617750 8828288000 8845944576 8995875840 9214525600 9370704000 9477797760 9872706000 9931824000 10366341300 10530886400 10709376000 11057430720 11244844800 11350656000 11518157000 11794592768 11847247200 12494272000 12637063680 12957926625 13163608000 13242432000 13268916864 13821788400 14056056000 14743240960 14809059000 14993126400 15164476416 15796329600 15890918400 16064064000 16586146080 17277235500 17691889152 18429051200 18741408000 18955595520 19745412000 19863648000 20732682600 21061772800 22114861440 22489689600 23036314000 23694494400 24988544000 25274127360 25915853250 26327216000 26484864000 26537833728 27643576800 28112112000 29486481920 29618118000 31592659200 32128128000 33172292160 34554471000 35383778304 36858102400 37482816000 37911191040 39490824000 39727296000 41465365200 42123545600 44229722880 44979379200 46072628000 47388988800 51831706500 52654432000 53075667456 55287153600 56224224000 58972963840 59236236000 63185318400 66344584320 69108942000 73716204800 74965632000 75822382080 78981648000 79454592000 82930730400 88459445760 92145256000 94777977600 103663413000 105308864000 106151334912 110574307200 112448448000 118472472000 126370636800 132689168640 138217884000 147432409600 157963296000 165861460800 176918891520 184290512000 189555955200 207326826000 210617728000 221148614400 224896896000 236944944000 265378337280 276435768000 294864819200 315926592000 331722921600 368581024000 379111910400 414653652000 442297228800 473889888000 530756674560 552871536000 631853184000 663445843200 737162048000 829307304000 884594457600 947779776000 1105743072000 1326891686400 1474324096000 1658614608000 1895559552000 2211486144000 2653783372800 3317229216000 4422972288000 6634458432000 13268916864000
- Sum of all divisors σ(n): 55907267045760
- Sum of proper divisors (its aliquot sum) s(n): 42638350181760
- 13268916864000 is an abundant number, because the sum of its proper divisors (42638350181760) is greater than itself. Its abundance is 29369433317760
Bases of 13268916864000
- Binary: 110000010001011010010001001110000100000000002
- Hexadecimal: 0xC1169138400
- Base-36: 4PBNMI9S0
Squares and roots of 13268916864000
- 13268916864000 squared (132689168640002) is 176064154743743594496000000
- 13268916864000 cubed (132689168640003) is 2336180632025164979499951980544000000000
-
The
square root of 13268916864000 is 3642652.4489717655 -
The
cube root of 13268916864000 is 23674.3732826667
Scales and comparisons
How big is 13268916864000?- 13,268,916,864,000 seconds is equal to 421,910 years, 26 weeks, 4 days, 16 hours.
-
To count from 1 to 13,268,916,864,000 would take you about one million, fifty-four thousand, seven hundred seventy-six 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 13268916864000 cubic inches would be around 1972.9 feet tall.
Recreational maths with 13268916864000
- 13268916864000 backwards is 00046861986231
- The number of decimal digits it has is: 14
- The sum of 13268916864000's digits is 54
- More coming soon!
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The information we have on file for 13268916864000 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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