13984188768000
13,984,188,768,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13984188768000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
13984188768000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13984188768000:
28 × 32 × 53 × 113 × 1912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 191 × 191)See below for interesting mathematical facts about the number 13984188768000 from the Numbermatics database.
Names of 13984188768000
- Cardinal: 13984188768000 can be written as Thirteen trillion, nine hundred eighty-four billion, one hundred eighty-eight million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3984188768 × 1013
Factors of 13984188768000
Divisors of 13984188768000
- Number of divisors d(n): 1296
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 72 75 80 88 90 96 99 100 110 120 121 125 128 132 144 150 160 165 176 180 191 192 198 200 220 225 240 242 250 256 264 275 288 300 320 330 352 360 363 375 382 384 396 400 440 450 480 484 495 500 528 550 573 576 600 605 640 660 704 720 726 750 764 768 792 800 825 880 900 955 960 968 990 1000 1056 1089 1100 1125 1146 1152 1200 1210 1280 1320 1331 1375 1408 1440 1452 1500 1528 1584 1600 1650 1719 1760 1800 1815 1910 1920 1936 1980 2000 2101 2112 2178 2200 2250 2292 2304 2400 2420 2475 2640 2662 2750 2816 2865 2880 2904 3000 3025 3056 3168 3200 3300 3438 3520 3600 3630 3820 3840 3872 3960 3993 4000 4125 4202 4224 4356 4400 4500 4584 4775 4800 4840 4950 5280 5324 5445 5500 5730 5760 5808 6000 6050 6112 6303 6336 6400 6600 6655 6876 7040 7200 7260 7640 7744 7920 7986 8000 8250 8404 8448 8595 8712 8800 9000 9075 9168 9550 9600 9680 9900 10505 10560 10648 10890 11000 11460 11520 11616 11979 12000 12100 12224 12375 12606 12672 13200 13310 13752 14080 14325 14400 14520 15125 15280 15488 15840 15972 16000 16500 16808 17190 17424 17600 18000 18150 18336 18909 19100 19200 19360 19800 19965 21010 21120 21296 21780 22000 22920 23111 23232 23875 23958 24000 24200 24448 24750 25212 25344 26400 26620 27225 27504 28650 28800 29040 30250 30560 30976 31515 31680 31944 32000 33000 33275 33616 34380 34848 35200 36000 36300 36481 36672 37818 38200 38720 39600 39930 42020 42240 42592 42975 43560 44000 45375 45840 46222 46464 47750 47916 48000 48400 48896 49500 50424 52525 52800 53240 54450 55008 57300 57600 58080 59895 60500 61120 63030 63360 63888 66000 66550 67232 68760 69333 69696 70400 71625 72000 72600 72962 73344 75636 76400 77440 79200 79860 84040 85184 85950 87120 88000 90750 91680 92444 92928 94545 95500 95832 96000 96800 99000 99825 100848 105050 105600 106480 108900 109443 110016 114600 115555 116160 119790 121000 122240 126060 126720 127776 132000 133100 134464 136125 137520 138666 139392 143250 144000 145200 145924 146688 151272 152800 154880 157575 158400 159720 166375 168080 170368 171900 174240 176000 181500 182405 183360 184888 189090 191000 191664 193600 198000 199650 201696 207999 210100 211200 212960 214875 217800 218886 220032 229200 231110 232320 239580 242000 244480 252120 254221 255552 262625 264000 266200 268928 272250 275040 277332 278784 286500 288000 290400 291848 299475 302544 305600 315150 316800 319440 328329 332750 336160 340736 343800 346665 348480 352000 363000 364810 366720 369776 378180 382000 383328 387200 396000 399300 401291 403392 415998 420200 425920 429750 435600 437772 440064 458400 462220 464640 472725 479160 484000 499125 504240 508442 511104 525250 528000 532400 537856 544500 547215 550080 554664 573000 577775 580800 583696 598950 605088 611200 630300 633600 638880 656658 665500 672320 687600 693330 696960 726000 729620 733440 739552 756360 762663 764000 766656 774400 787875 792000 798600 802582 806784 831996 840400 851840 859500 871200 875544 912025 916800 924440 945450 958320 968000 998250 1008480 1016884 1022208 1039995 1050500 1056000 1064800 1089000 1094430 1100160 1109328 1146000 1155550 1161600 1167392 1197900 1203873 1210176 1222400 1260600 1271105 1277760 1313316 1331000 1344640 1375200 1386660 1393920 1452000 1459240 1479104 1497375 1512720 1525326 1528000 1533312 1575750 1584000 1597200 1605164 1613568 1641645 1663992 1680800 1703680 1719000 1733325 1742400 1751088 1824050 1833600 1848880 1890900 1916640 1936000 1996500 2006455 2016960 2033768 2079990 2101000 2129600 2178000 2188860 2200320 2218656 2287989 2292000 2311100 2323200 2334784 2363625 2395800 2407746 2420352 2521200 2542210 2555520 2626632 2662000 2689280 2736075 2750400 2773320 2888875 2904000 2918480 2958208 2994750 3025440 3050652 3056000 3066624 3151500 3168000 3194400 3210328 3283290 3327984 3361600 3438000 3466650 3484800 3502176 3611619 3648100 3667200 3697760 3781800 3813315 3833280 3872000 3993000 4012910 4033920 4067536 4159980 4202000 4259200 4356000 4377720 4414201 4437312 4560125 4575978 4584000 4622200 4669568 4727250 4791600 4815492 4840704 5042400 5084420 5111040 5199975 5253264 5324000 5472150 5500800 5546640 5777750 5808000 5836960 5916416 5989500 6019365 6050880 6101304 6112000 6303000 6355525 6388800 6420656 6566580 6655968 6723200 6876000 6933300 6969600 7004352 7223238 7296200 7395520 7563600 7626630 7666560 7986000 8025820 8067840 8135072 8208225 8319960 8404000 8518400 8666625 8712000 8755440 8828402 8874624 9120250 9151956 9168000 9244400 9339136 9454500 9583200 9630984 10032275 10084800 10168840 10399950 10506528 10648000 10944300 11001600 11093280 11439945 11555500 11616000 11673920 11979000 12038730 12101760 12202608 12606000 12711050 12777600 12841312 13133160 13242603 13311936 13446400 13680375 13752000 13866600 14008704 14446476 14592400 14791040 15127200 15253260 15333120 15972000 16051640 16270144 16416450 16639920 16808000 17333250 17424000 17510880 17656804 17749248 18058095 18240500 18303912 18336000 18488800 18909000 19066575 19166400 19261968 20064550 20169600 20337680 20799900 21013056 21296000 21888600 22071005 22186560 22879890 23111000 23347840 23958000 24077460 24203520 24405216 25212000 25422100 25555200 25682624 25999875 26266320 26485206 26623872 27360750 27504000 27733200 28017408 28892952 29184800 29582080 30096825 30254400 30506520 31777625 31944000 32103280 32540288 32832900 33279840 33616000 34666500 34848000 35021760 35313608 36116190 36481000 36607824 36977600 37818000 38133150 38332800 38523936 39727809 40129100 40339200 40675360 41041125 41599800 42026112 42592000 43777200 44142010 44373120 45759780 46222000 46695680 47916000 48154920 48556211 48810432 50161375 50424000 50844200 51365248 51999750 52532640 52970412 53247744 54721500 55008000 55466400 57199725 57785904 58369600 60193650 60508800 61013040 63555250 63888000 64206560 65080576 65665800 66213015 66559680 67232000 69333000 70043520 70627216 72232380 72962000 73215648 73955200 75636000 76266300 76665600 77047872 79455618 80258200 81350720 82082250 83199600 84052224 87554400 88284020 88746240 90290475 91519560 92444000 95332875 95832000 96309840 97112422 97620864 100322750 100848000 101688400 102730496 103999500 105065280 105940824 109443000 110355025 110932800 114399450 115571808 116739200 120387300 121017600 122026080 127110500 127776000 128413120 131331600 132426030 133119360 138666000 140087040 141254432 144464760 145668633 145924000 146431296 147910400 150484125 151272000 152532600 154095744 158911236 160516400 162701440 164164500 166399200 175108800 176568040 180580950 183039120 184888000 190665750 191664000 192619680 194224844 195241728 198639045 200645500 201696000 203376800 207999000 210130560 211881648 218886000 220710050 221865600 228798900 231143616 233478400 240774600 242781055 244052160 254221000 256826240 262663200 264852060 266238720 277332000 282508864 285998625 288929520 291337266 291848000 292862592 300968250 302544000 305065200 308191488 317822472 321032800 325402880 328329000 331065075 332798400 350217600 353136080 361161900 366078240 369776000 381331500 383328000 385239360 388449688 397278090 401291000 406753600 415998000 420261120 423763296 437005899 437772000 441420100 443731200 451452375 457597800 462287232 481549200 485562110 488104320 508442000 513652480 525326400 529704120 551775125 554664000 565017728 571997250 577859040 582674532 583696000 585725184 601936500 605088000 610130400 635644944 642065600 656658000 662130150 665596800 700435200 706272160 722323800 728343165 732156480 739552000 762663000 770478720 776899376 794556180 802582000 813507200 831996000 847526592 874011798 875544000 882840200 902904750 915195600 924574464 963098400 971124220 976208640 993195225 1016884000 1050652800 1059408240 1103550250 1109328000 1130035456 1143994500 1155718080 1165349064 1167392000 1203873000 1213905275 1220260800 1271289888 1284131200 1313316000 1324260300 1331193600 1412544320 1444647600 1456686330 1464312960 1525326000 1540957440 1553798752 1589112360 1605164000 1627014400 1655325375 1663992000 1695053184 1748023596 1751088000 1765680400 1805809500 1830391200 1926196800 1942248440 1986390450 2033768000 2101305600 2118816480 2185029495 2207100500 2218656000 2287989000 2311436160 2330698128 2407746000 2427810550 2440521600 2542579776 2568262400 2626632000 2648520600 2825088640 2889295200 2913372660 2928625920 3050652000 3107597504 3178224720 3210328000 3310650750 3327984000 3390106368 3496047192 3502176000 3531360800 3611619000 3641715825 3660782400 3852393600 3884496880 3972780900 4067536000 4237632960 4370058990 4414201000 4575978000 4622872320 4661396256 4815492000 4855621100 4881043200 4965976125 5085159552 5253264000 5297041200 5650177280 5778590400 5826745320 6069526375 6101304000 6215195008 6356449440 6420656000 6621301500 6655968000 6992094384 7062721600 7223238000 7283431650 7321564800 7704787200 7768993760 7945561800 8135072000 8475265920 8740117980 8828402000 9151956000 9322792512 9630984000 9711242200 9931952250 10170319104 10506528000 10594082400 10925147475 11557180800 11653490640 12139052750 12202608000 12430390016 12712898880 12841312000 13242603000 13984188768 14125443200 14446476000 14566863300 14643129600 15537987520 15891123600 16950531840 17480235960 17656804000 18208579125 18303912000 18645585024 19261968000 19422484400 19863904500 21188164800 21850294950 23114361600 23306981280 24278105500 24405216000 25425797760 26485206000 27968377536 28250886400 28892952000 29133726600 31075975040 31782247200 34960471920 35313608000 36417158250 36607824000 37291170048 38523936000 38844968800 39727809000 42376329600 43700589900 46613962560 48556211000 50851595520 52970412000 54625737375 55936755072 57785904000 58267453200 62151950080 63564494400 69920943840 70627216000 72834316500 73215648000 77689937600 79455618000 84752659200 87401179800 93227925120 97112422000 105940824000 109251474750 111873510144 115571808000 116534906400 127128988800 139841887680 141254432000 145668633000 155379875200 158911236000 174802359600 186455850240 194224844000 211881648000 218502949500 233069812800 254257977600 279683775360 291337266000 310759750400 317822472000 349604719200 388449688000 423763296000 437005899000 466139625600 559367550720 582674532000 635644944000 699209438400 776899376000 874011798000 932279251200 1165349064000 1271289888000 1398418876800 1553798752000 1748023596000 2330698128000 2796837753600 3496047192000 4661396256000 6992094384000 13984188768000
- Sum of all divisors σ(n): 55638622087776
- Sum of proper divisors (its aliquot sum) s(n): 41654433319776
- 13984188768000 is an abundant number, because the sum of its proper divisors (41654433319776) is greater than itself. Its abundance is 27670244551776
Bases of 13984188768000
- Binary: 110010110111111100101001101010011111000000002
- Hexadecimal: 0xCB7F29A9F00
- Base-36: 4YG8WXJ40
Squares and roots of 13984188768000
- 13984188768000 squared (139841887680002) is 195557535499057357824000000
- 13984188768000 cubed (139841887680003) is 2734713491423679177870137720832000000000
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The
square root of 13984188768000 is 3739543.9251331171 -
The
cube root of 13984188768000 is 24092.3460528711
Scales and comparisons
How big is 13984188768000?- 13,984,188,768,000 seconds is equal to 444,653 years, 49 weeks, 1 day, 16 hours.
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To count from 1 to 13,984,188,768,000 would take you about one million, one hundred eleven thousand, six hundred thirty-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 13984188768000 cubic inches would be around 2007.7 feet tall.
Recreational maths with 13984188768000
- 13984188768000 backwards is 00086788148931
- The number of decimal digits it has is: 14
- The sum of 13984188768000's digits is 63
- More coming soon!
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The information we have on file for 13984188768000 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 13984188768000, math, Factors of 13984188768000, curriculum, school, college, exams, university, Prime factorization of 13984188768000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, nine hundred eighty-four billion, one hundred eighty-eight million, seven hundred sixty-eight thousand.