13329433248000
13,329,433,248,000 is an even composite number composed of seven prime numbers multiplied together.
13329433248000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13329433248000:
28 × 3 × 53 × 23 × 41 × 73 × 2017
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 23 × 41 × 73 × 2017)See below for interesting mathematical facts about the number 13329433248000 from the Numbermatics database.
Names of 13329433248000
- Cardinal: 13329433248000 can be written as Thirteen trillion, three hundred twenty-nine billion, four hundred thirty-three million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3329433248 × 1013
Factors of 13329433248000
Divisors of 13329433248000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 41 46 48 50 60 64 69 73 75 80 82 92 96 100 115 120 123 125 128 138 146 150 160 164 184 192 200 205 219 230 240 246 250 256 276 292 300 320 328 345 365 368 375 384 400 410 438 460 480 492 500 552 575 584 600 615 640 656 690 730 736 750 768 800 820 876 920 943 960 984 1000 1025 1095 1104 1150 1168 1200 1230 1280 1312 1380 1460 1472 1500 1600 1640 1679 1725 1752 1825 1840 1886 1920 1968 2000 2017 2050 2190 2208 2300 2336 2400 2460 2624 2760 2829 2875 2920 2944 2993 3000 3075 3200 3280 3358 3450 3504 3650 3680 3772 3840 3936 4000 4034 4100 4380 4416 4600 4672 4715 4800 4920 5037 5125 5248 5475 5520 5658 5750 5840 5888 5986 6000 6051 6150 6400 6560 6716 6900 7008 7300 7360 7544 7872 8000 8068 8200 8395 8625 8760 8832 8979 9125 9200 9344 9430 9600 9840 10074 10085 10250 10496 10950 11040 11316 11500 11680 11972 12000 12102 12300 13120 13432 13800 14016 14145 14600 14720 14965 15088 15375 15744 16000 16136 16400 16790 17250 17520 17664 17958 18250 18400 18688 18860 19200 19680 20148 20170 20500 21900 22080 22632 23000 23360 23575 23944 24000 24204 24600 25185 26240 26864 27375 27600 28032 28290 29200 29440 29930 30176 30255 30750 31488 32000 32272 32800 33580 34500 35040 35916 36500 36800 37720 39360 40296 40340 41000 41975 43800 44160 44895 45264 46000 46391 46720 47150 47888 48000 48408 49200 50370 50425 52480 53728 54750 55200 56064 56580 58400 59860 60352 60510 61500 64544 65600 67160 68839 69000 70080 70725 71832 73000 73600 74825 75440 78720 80592 80680 82000 82697 83950 87600 88320 89790 90528 92000 92782 93440 94300 95776 96000 96816 98400 100740 100850 107456 109500 110400 113160 116800 117875 119720 120704 121020 123000 125925 129088 131200 134320 137678 138000 139173 140160 141450 143664 146000 147200 147241 149650 150880 151275 157440 161184 161360 164000 165394 167900 175200 179580 181056 184000 185564 188600 191552 193632 196800 201480 201700 206517 209875 214912 219000 220800 224475 226320 231955 233600 235750 239440 241408 242040 246000 248091 251850 252125 258176 262400 268640 275356 276000 278346 280320 282900 287328 292000 294482 299300 301760 302550 322368 322720 328000 330788 335800 344195 350400 353625 359160 362112 368000 371128 374125 377200 383104 387264 393600 402960 403400 413034 413485 419750 429824 438000 441600 441723 448950 452640 463910 467200 471500 478880 484080 492000 496182 503700 504250 516352 537280 550712 552000 556692 565800 574656 584000 588964 598600 603520 605100 629625 644736 645440 656000 661576 671600 688390 695865 700800 707250 718320 724224 736000 736205 742256 748250 754400 756375 766208 774528 787200 805920 806800 826068 826970 839500 876000 883446 897900 905280 927820 943000 957760 968160 984000 992364 1007400 1008500 1032585 1074560 1101424 1104000 1113384 1122375 1131600 1149312 1159775 1168000 1177928 1197200 1207040 1210200 1240455 1259250 1289472 1290880 1312000 1323152 1343200 1376780 1391730 1401600 1414500 1436640 1472410 1484512 1496500 1508800 1512750 1549056 1611840 1613600 1652136 1653940 1679000 1720975 1752000 1766892 1795800 1810560 1855640 1886000 1902031 1915520 1936320 1968000 1984728 2014800 2017000 2065170 2067425 2149120 2202848 2208000 2208615 2226768 2244750 2263200 2298624 2319550 2336000 2355856 2394400 2420400 2480910 2518500 2581760 2646304 2686400 2753560 2783460 2829000 2873280 2944820 2969024 2993000 3017600 3025500 3223680 3227200 3304272 3307880 3358000 3386543 3441950 3479325 3504000 3533784 3591600 3621120 3681025 3711280 3772000 3804062 3831040 3872640 3936000 3969456 4029600 4034000 4130340 4134850 4405696 4417230 4453536 4489500 4526400 4639100 4711712 4788800 4840800 4961820 5037000 5162925 5292608 5372800 5507120 5566920 5658000 5706093 5746560 5798875 5889640 5938048 5986000 6035200 6036881 6051000 6202275 6447360 6454400 6608544 6615760 6716000 6773086 6883900 6958650 7008000 7067568 7183200 7362050 7422560 7544000 7608124 7745280 7938912 8059200 8068000 8260680 8269700 8604875 8811392 8834460 8907072 8979000 9052800 9278200 9423424 9510155 9577600 9681600 9923640 10074000 10159629 10325850 10337125 10585216 10745600 11014240 11043075 11133840 11316000 11412186 11493120 11597750 11779280 11876096 11972000 12073762 12102000 12404550 12908800 13217088 13231520 13432000 13546172 13767800 13917300 14135136 14366400 14724100 14845120 15088000 15216248 15877824 16118400 16136000 16521360 16539400 16932715 17209750 17396625 17622784 17668920 17814144 17958000 18105600 18110643 18405125 18556400 18846848 19020310 19155200 19363200 19847280 20148000 20319258 20651700 20674250 21170432 22028480 22086150 22267680 22632000 22824372 23195500 23558560 23944000 24147524 24204000 24809100 25814625 26434176 26463040 26864000 27092344 27535600 27834600 28270272 28530465 28732800 29448200 29690240 30176000 30184405 30432496 31011375 31755648 32236800 32272000 33042720 33078800 33865430 34419500 34793250 35337840 35628288 35916000 36221286 36810250 37112800 37693696 38040620 38726400 39694560 40296000 40638516 41303400 41348500 44056960 44172300 44535360 45264000 45648744 46391000 47117120 47550775 47888000 48295048 48408000 49618200 50798145 51629250 52868352 52926080 53728000 54184688 55071200 55215375 55669200 56540544 57060930 57465600 58896400 59380480 60368810 60864992 62022750 63511296 64544000 66085440 66157600 67730860 68839000 69586500 70675680 71832000 72442572 73620500 74225600 76081240 79389120 80592000 81277032 82606800 82697000 84663575 88113920 88344600 89070720 90528000 90553215 91297488 92782000 94234240 95101550 95776000 96590096 96816000 99236400 101596290 103258500 105852160 108369376 110142400 110430750 111338400 113081088 114121860 117792800 120737620 121729984 124045500 132170880 132315200 135461720 137678000 138848263 139173000 141351360 142652325 143664000 144885144 147241000 148451200 150922025 152162480 158778240 161184000 162554064 165213600 165394000 169327150 176689200 178141440 181106430 182594976 185564000 188468480 190203100 193180192 193632000 198472800 203192580 206517000 216738752 220284800 220861500 222676800 228243720 235585600 237753875 241475240 243459968 248091000 253990725 264341760 264630400 270923440 275356000 277696526 278346000 282702720 285304650 287328000 289770288 294482000 296902400 301844050 304324960 317556480 325108128 330427200 330788000 338654300 353378400 362212860 365189952 371128000 380406200 386360384 396945600 406385160 413034000 416544789 423317875 433477504 440569600 441723000 445353600 452766075 456487440 471171200 475507750 482950480 486919936 496182000 507981450 529260800 541846880 550712000 555393052 556692000 565405440 570609300 579540576 588964000 603688100 608649920 650216256 660854400 661576000 677308600 694241315 706756800 713261625 724425720 730379904 742256000 754610125 760812400 772720768 793891200 812770320 826068000 833089578 846635750 866955008 883446000 890707200 905532150 912974880 942342400 951015500 965900960 992364000 1015962900 1083693760 1101424000 1110786104 1113384000 1141218600 1159081152 1177928000 1207376200 1217299840 1269953625 1300432512 1321708800 1323152000 1354617200 1388482630 1413513600 1426523250 1448851440 1460759808 1484512000 1509220250 1521624800 1545441536 1587782400 1625540640 1652136000 1666179156 1693271500 1766892000 1811064300 1825949760 1902031000 1931801920 1984728000 2031925800 2082723945 2167387520 2202848000 2221572208 2226768000 2263830375 2282437200 2318162304 2355856000 2414752400 2434599680 2539907250 2600865024 2646304000 2709234400 2776965260 2827027200 2853046500 2897702880 3018440500 3043249600 3251081280 3304272000 3332358312 3386543000 3471206575 3533784000 3622128600 3651899520 3804062000 3863603840 3969456000 4063851600 4165447890 4334775040 4443144416 4453536000 4527660750 4564874400 4636324608 4711712000 4829504800 5079814500 5418468800 5553930520 5706093000 5795405760 6036881000 6086499200 6502162560 6608544000 6664716624 6773086000 6942413150 7067568000 7244257200 7303799040 7608124000 7727207680 7938912000 8127703200 8330895780 8886288832 9055321500 9129748800 9659009600 10159629000 10413619725 10836937600 11107861040 11412186000 11590811520 12073762000 12172998400 13004325120 13329433248 13546172000 13884826300 14135136000 14488514400 15216248000 16255406400 16661791560 17356032875 17772577664 18110643000 18259497600 19318019200 20319258000 20827239450 21673875200 22215722080 22824372000 23181623040 24147524000 26658866496 27092344000 27769652600 28977028800 30432496000 32510812800 33323583120 34712065750 35545155328 36221286000 36518995200 38636038400 40638516000 41654478900 44431444160 45648744000 48295048000 52068098625 53317732992 54184688000 55539305200 57954057600 60864992000 65021625600 66647166240 69424131500 72442572000 81277032000 83308957800 88862888320 91297488000 96590096000 104136197250 106635465984 108369376000 111078610400 115908115200 133294332480 138848263000 144885144000 162554064000 166617915600 177725776640 182594976000 193180192000 208272394500 222157220800 266588664960 277696526000 289770288000 325108128000 333235831200 416544789000 444314441600 533177329920 555393052000 579540576000 666471662400 833089578000 888628883200 1110786104000 1332943324800 1666179156000 2221572208000 2665886649600 3332358312000 4443144416000 6664716624000 13329433248000
- Sum of all divisors σ(n): 47997531638784
- Sum of proper divisors (its aliquot sum) s(n): 34668098390784
- 13329433248000 is an abundant number, because the sum of its proper divisors (34668098390784) is greater than itself. Its abundance is 21338665142784
Bases of 13329433248000
- Binary: 110000011111100000000010001001000001000000002
- Hexadecimal: 0xC1F80224100
- Base-36: 4Q3GGEEIO
Squares and roots of 13329433248000
- 13329433248000 squared (133294332480002) is 177673790712887829504000000
- 13329433248000 cubed (133294332480003) is 2368290933226560656685172948992000000000
-
The
square root of 13329433248000 is 3650949.6364644637 -
The
cube root of 13329433248000 is 23710.3097732343
Scales and comparisons
How big is 13329433248000?- 13,329,433,248,000 seconds is equal to 423,834 years, 38 weeks, 5 days, 18 hours, 40 minutes.
-
To count from 1 to 13,329,433,248,000 would take you about one million, fifty-nine thousand, five hundred eighty-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 13329433248000 cubic inches would be around 1975.9 feet tall.
Recreational maths with 13329433248000
- 13329433248000 backwards is 00084233492331
- The number of decimal digits it has is: 14
- The sum of 13329433248000's digits is 42
- More coming soon!
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The information we have on file for 13329433248000 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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