13680966096000
13,680,966,096,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13680966096000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
13680966096000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13680966096000:
27 × 35 × 53 × 7 × 7092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 709 × 709)See below for interesting mathematical facts about the number 13680966096000 from the Numbermatics database.
Names of 13680966096000
- Cardinal: 13680966096000 can be written as Thirteen trillion, six hundred eighty billion, nine hundred sixty-six million, ninety-six thousand.
Scientific notation
- Scientific notation: 1.3680966096 × 1013
Factors of 13680966096000
Divisors of 13680966096000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 243 250 252 270 280 288 300 315 320 324 336 350 360 375 378 384 400 405 420 432 448 450 480 486 500 504 525 540 560 567 576 600 630 640 648 672 675 700 709 720 750 756 800 810 840 864 875 896 900 945 960 972 1000 1008 1050 1080 1120 1125 1134 1152 1200 1215 1260 1296 1344 1350 1400 1418 1440 1500 1512 1575 1600 1620 1680 1701 1728 1750 1800 1890 1920 1944 2000 2016 2025 2100 2127 2160 2240 2250 2268 2400 2430 2520 2592 2625 2688 2700 2800 2835 2836 2880 3000 3024 3150 3200 3240 3360 3375 3402 3456 3500 3545 3600 3780 3888 4000 4032 4050 4200 4254 4320 4480 4500 4536 4725 4800 4860 4963 5040 5184 5250 5400 5600 5670 5672 5760 6000 6048 6075 6300 6381 6480 6720 6750 6804 7000 7090 7200 7560 7776 7875 8000 8064 8100 8400 8505 8508 8640 9000 9072 9450 9600 9720 9926 10080 10125 10368 10500 10635 10800 11200 11340 11344 12000 12096 12150 12600 12762 12960 13440 13500 13608 14000 14175 14180 14400 14889 15120 15552 15750 16000 16200 16800 17010 17016 17280 17725 18000 18144 18900 19143 19440 19852 20160 20250 21000 21270 21600 22400 22680 22688 23625 24000 24192 24300 24815 25200 25524 25920 27000 27216 28000 28350 28360 28800 29778 30240 30375 31104 31500 31905 32400 33600 34020 34032 35450 36000 36288 37800 38286 38880 39704 40320 40500 42000 42525 42540 43200 44667 45360 45376 47250 48000 48600 49630 50400 51048 51840 53175 54000 54432 56000 56700 56720 57429 59556 60480 60750 63000 63810 64800 67200 68040 68064 70875 70900 72000 72576 74445 75600 76572 77760 79408 81000 84000 85050 85080 86400 88625 89334 90720 90752 94500 95715 97200 99260 100800 102096 106350 108000 108864 112000 113400 113440 114858 119112 120960 121500 124075 126000 127620 129600 134001 136080 136128 141750 141800 144000 148890 151200 153144 155520 158816 159525 162000 168000 170100 170160 172287 177250 178668 181440 189000 191430 194400 198520 201600 204192 212625 212700 216000 217728 223335 226800 226880 229716 238224 243000 248150 252000 255240 259200 265875 268002 272160 272256 283500 283600 287145 297780 302400 306288 317632 319050 324000 336000 340200 340320 344574 354500 357336 362880 372225 378000 382860 388800 397040 402003 408384 425250 425400 432000 446670 453600 453760 459432 476448 478575 486000 496300 502681 504000 510480 531750 536004 544320 567000 567200 574290 595560 604800 612576 620375 635264 638100 648000 670005 680400 680640 689148 709000 714672 744450 756000 765720 777600 794080 797625 804006 816768 850500 850800 861435 893340 907200 918864 952896 957150 972000 992600 1005362 1008000 1020960 1063500 1072008 1088640 1116675 1134000 1134400 1148580 1191120 1206009 1225152 1240750 1276200 1296000 1340010 1360800 1361280 1378296 1418000 1429344 1435725 1488900 1508043 1512000 1531440 1588160 1595250 1608012 1701000 1701600 1722870 1786680 1814400 1837728 1861125 1905792 1914300 1944000 1985200 2010015 2010724 2041920 2127000 2144016 2233350 2268000 2268800 2297160 2382240 2392875 2412018 2450304 2481500 2513405 2552400 2680020 2721600 2756592 2836000 2858688 2871450 2977800 3016086 3024000 3062880 3176320 3190500 3216024 3350025 3402000 3403200 3445740 3518767 3573360 3675456 3722250 3828600 3888000 3970400 4020030 4021448 4083840 4254000 4288032 4307175 4466700 4524129 4536000 4594320 4764480 4785750 4824036 4963000 5026810 5104800 5360040 5443200 5513184 5583375 5672000 5717376 5742900 5955600 6030045 6032172 6125760 6381000 6432048 6700050 6804000 6806400 6891480 7037534 7146720 7178625 7350912 7444500 7540215 7657200 7940800 8040060 8042896 8508000 8576064 8614350 8933400 9048258 9072000 9188640 9528960 9571500 9648072 9926000 10050075 10053620 10209600 10556301 10720080 11026368 11166750 11344000 11485800 11911200 12060090 12064344 12251520 12567025 12762000 12864096 13400100 13572387 13608000 13782960 14075068 14293440 14357250 14889000 15080430 15314400 15881600 16080120 16085792 16750125 17016000 17152128 17228700 17593835 17866800 18096516 18377280 19143000 19296144 19852000 20100150 20107240 20419200 21112602 21440160 21535875 22052736 22333500 22620645 22971600 23822400 24120180 24128688 25134050 25524000 25728192 26800200 27144774 27216000 27565920 28150136 28586880 28714500 29778000 30150225 30160860 30628800 31668903 32160240 32171584 33500250 34032000 34457400 35187670 35733600 36193032 36754560 37701075 38286000 38592288 39704000 40200300 40214480 40717161 42225204 42880320 43071750 44667000 45241290 45943200 47644800 48240360 48257376 50250375 50268100 51048000 51456384 52781505 53600400 54289548 55131840 56300272 57429000 59556000 60300450 60321720 61257600 62835125 63337806 64320480 64343168 67000500 67861935 68914800 70375340 71467200 72386064 75402150 76572000 77184576 79408000 80400600 80428960 81434322 84450408 85760640 86143500 87969175 89334000 90482580 91886400 95006709 96480720 96514752 100500750 100536200 102096000 105563010 107200800 108579096 110263680 112600544 113103225 114858000 119112000 120600900 120643440 122151483 125670250 126675612 128640960 134001000 135723870 137829600 140750680 142934400 144772128 150751125 150804300 153144000 154369152 158344515 160801200 160857920 162868644 168900816 172287000 175938350 178668000 180965160 183772800 188505375 190013418 192961440 193029504 201001500 201072400 203585805 211126020 214401600 217158192 225201088 226206450 229716000 238224000 241201800 241286880 244302966 251340500 253351224 257281920 263907525 268002000 271447740 275659200 281501360 285020127 289544256 301502250 301608600 306288000 316689030 321602400 321715840 325737288 337801632 339309675 344574000 351876700 357336000 361930320 377010750 380026836 385922880 402003000 402144800 407171610 422252040 428803200 434316384 439845875 450402176 452412900 459432000 475033545 482403600 482573760 488605932 502681000 506702448 527815050 536004000 542895480 551318400 563002720 565516125 570040254 579088512 603004500 603217200 610757415 633378060 643204800 651474576 675603264 678619350 689148000 703753400 714672000 723860640 754021500 760053672 771845760 791722575 804006000 804289600 814343220 844504080 855060381 868632768 879691750 904825800 918864000 950067090 964807200 965147520 977211864 1005362000 1013404896 1017929025 1055630100 1072008000 1085790960 1126005440 1131032250 1140080508 1206009000 1206434400 1221514830 1266756120 1286409600 1302949152 1319537625 1351206528 1357238700 1378296000 1407506800 1425100635 1447721280 1508043000 1520107344 1583445150 1608012000 1608579200 1628686440 1689008160 1696548375 1710120762 1737265536 1759383500 1809651600 1900134180 1929614400 1954423728 2010724000 2026809792 2035858050 2111260200 2144016000 2171581920 2252010880 2262064500 2280161016 2375167725 2412018000 2412868800 2443029660 2533512240 2605898304 2639075250 2714477400 2756592000 2815013600 2850201270 2895442560 3016086000 3040214688 3053787075 3166890300 3216024000 3257372880 3378016320 3393096750 3420241524 3518767000 3619303200 3800268360 3859228800 3908847456 3958612875 4021448000 4053619584 4071716100 4222520400 4275301905 4343163840 4524129000 4560322032 4750335450 4824036000 4825737600 4886059320 5067024480 5089645125 5211796608 5278150500 5428954800 5630027200 5700402540 6032172000 6080429376 6107574150 6333780600 6432048000 6514745760 6756032640 6786193500 6840483048 7037534000 7125503175 7238606400 7600536720 7817694912 7917225750 8042896000 8143432200 8445040800 8550603810 8686327680 9048258000 9120644064 9500670900 9648072000 9772118640 10134048960 10179290250 10556301000 10857909600 11260054400 11400805080 11875838625 12064344000 12160858752 12215148300 12667561200 13029491520 13572387000 13680966096 14075068000 14251006350 14477212800 15201073440 15268935375 15635389824 15834451500 16286864400 16890081600 17101207620 18096516000 18241288128 19001341800 19296144000 19544237280 20268097920 20358580500 21112602000 21376509525 21715819200 22801610160 23751677250 24128688000 24430296600 25335122400 26058983040 27144774000 27361932192 28150136000 28502012700 30402146880 30537870750 31668903000 32573728800 33780163200 34202415240 35627515875 36193032000 36482576256 38002683600 39088474560 40717161000 42225204000 42753019050 43431638400 45603220320 47503354500 48860593200 50670244800 54289548000 54723864384 56300272000 57004025400 60804293760 61075741500 63337806000 65147457600 68404830480 71255031750 72386064000 76005367200 78176949120 81434322000 84450408000 85506038100 91206440640 95006709000 97721186400 101340489600 106882547625 108579096000 109447728768 114008050800 122151483000 126675612000 130294915200 136809660960 142510063500 152010734400 162868644000 168900816000 171012076200 182412881280 190013418000 195442372800 213765095250 217158192000 228016101600 244302966000 253351224000 273619321920 285020127000 304021468800 325737288000 342024152400 380026836000 390884745600 427530190500 456032203200 488605932000 506702448000 547238643840 570040254000 651474576000 684048304800 760053672000 855060381000 912064406400 977211864000 1140080508000 1368096609600 1520107344000 1710120762000 1954423728000 2280161016000 2736193219200 3420241524000 4560322032000 6840483048000 13680966096000
- Sum of all divisors σ(n): 58312491269760
- Sum of proper divisors (its aliquot sum) s(n): 44631525173760
- 13680966096000 is an abundant number, because the sum of its proper divisors (44631525173760) is greater than itself. Its abundance is 30950559077760
Bases of 13680966096000
- Binary: 110001110001010110010001111111010100100000002
- Hexadecimal: 0xC71591FD480
- Base-36: 4UKY5ZC00
Squares and roots of 13680966096000
- 13680966096000 squared (136809660960002) is 187168833319901481216000000
- 13680966096000 cubed (136809660960003) is 2560650462877447286576276852736000000000
-
The
square root of 13680966096000 is 3698779.0006973923 -
The
cube root of 13680966096000 is 23916.9386152283
Scales and comparisons
How big is 13680966096000?- 13,680,966,096,000 seconds is equal to 435,012 years, 21 weeks.
-
To count from 1 to 13,680,966,096,000 would take you about one million, eighty-seven thousand, five hundred thirty-one 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 13680966096000 cubic inches would be around 1993.1 feet tall.
Recreational maths with 13680966096000
- 13680966096000 backwards is 00069066908631
- 13680966096000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13680966096000's digits is 54
- More coming soon!
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The information we have on file for 13680966096000 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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