13818945996800
13,818,945,996,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 13818945996800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
13818945996800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13818945996800:
211 × 52 × 7 × 192 × 292 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 19 × 19 × 29 × 29 × 127)See below for interesting mathematical facts about the number 13818945996800 from the Numbermatics database.
Names of 13818945996800
- Cardinal: 13818945996800 can be written as Thirteen trillion, eight hundred eighteen billion, nine hundred forty-five million, nine hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.38189459968 × 1013
Factors of 13818945996800
Divisors of 13818945996800
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 29 32 35 38 40 50 56 58 64 70 76 80 95 100 112 116 127 128 133 140 145 152 160 175 190 200 203 224 232 254 256 266 280 290 304 320 350 361 380 400 406 448 464 475 508 512 532 551 560 580 608 635 640 665 700 722 725 760 800 812 841 889 896 928 950 1015 1016 1024 1064 1102 1120 1160 1216 1270 1280 1330 1400 1444 1450 1520 1600 1624 1682 1778 1792 1805 1856 1900 2030 2032 2048 2128 2204 2240 2320 2413 2432 2527 2540 2560 2660 2755 2800 2888 2900 3040 3175 3200 3248 3325 3364 3556 3584 3610 3683 3712 3800 3857 4060 4064 4205 4256 4408 4445 4480 4640 4826 4864 5054 5075 5080 5120 5320 5510 5600 5776 5800 5887 6080 6350 6400 6496 6650 6728 7112 7168 7220 7366 7424 7600 7714 8120 8128 8410 8512 8816 8890 8960 9025 9280 9652 9728 10108 10150 10160 10240 10469 10640 11020 11200 11552 11600 11774 12065 12160 12635 12700 12800 12992 13300 13456 13775 14224 14336 14440 14732 14848 15200 15428 15979 16240 16256 16820 16891 17024 17632 17780 17920 18050 18415 18560 19285 19304 19456 20216 20300 20320 20938 21025 21280 22040 22225 22400 23104 23200 23548 24130 24320 25270 25400 25600 25781 25984 26600 26912 27550 28448 28880 29435 29464 29696 30400 30856 31958 32480 32512 33640 33782 34048 35264 35560 35840 36100 36830 37120 38570 38608 38912 40432 40600 40640 41876 42050 42560 44080 44450 44800 45847 46208 46400 47096 48260 48640 50540 50800 51200 51562 51968 52345 53200 53824 55100 56896 57760 58870 58928 59392 60325 60800 61712 63175 63916 64960 65024 67280 67564 68096 69977 70528 71120 71680 72200 73283 73660 74240 77140 77216 79895 80864 81200 81280 83752 84100 84455 85120 88160 88900 89600 91694 92075 92416 92800 94192 96425 96520 97280 101080 101600 103124 103936 104690 106400 106807 107648 110200 111853 113792 115520 117740 117856 120650 121600 123424 126350 127832 128905 129920 130048 134560 135128 136192 139954 141056 142240 144400 146566 147175 147320 148480 154280 154432 159790 161728 162400 162560 167504 168200 168910 170240 176320 177800 179200 183388 184150 184832 185600 188384 192850 193040 194560 202160 203200 206248 207872 209380 212800 213614 215296 220400 223706 227584 229235 231040 235480 235712 241300 243200 246848 252700 255664 257810 259840 260096 261725 269120 270256 272384 279908 282112 284480 288800 293132 294350 294640 296960 303601 308560 308864 319580 320929 323456 324800 325120 335008 336400 337820 340480 349885 352640 355600 358400 366415 366776 368300 369664 371200 376768 385700 386080 399475 404320 406400 412496 415744 418760 422275 425600 427228 430592 440800 447412 455168 458470 462080 470960 471424 482600 486400 489839 493696 505400 511328 515620 519680 523450 534035 538240 540512 559265 559816 564224 568960 577600 586264 588700 589280 607202 617120 617728 639160 641858 644525 646912 649600 650240 670016 672800 675640 680960 699770 705280 711200 732830 733552 736600 739328 742400 747649 753536 771400 772160 798950 808640 812800 824992 837520 844550 851200 854456 861184 881600 894824 910336 916940 924160 941920 942848 965200 972800 979678 987392 1010800 1022656 1031240 1039360 1046900 1068070 1076480 1081024 1118530 1119632 1128448 1137920 1146175 1155200 1172528 1177400 1178560 1214404 1234240 1235456 1278320 1283716 1289050 1293824 1299200 1300480 1329563 1340032 1345600 1351280 1361920 1399540 1410560 1422400 1465660 1467104 1473200 1484800 1495298 1507072 1518005 1542800 1544320 1597900 1604645 1617280 1625600 1649984 1675040 1689100 1702400 1708912 1722368 1749425 1763200 1789648 1820672 1832075 1833880 1848320 1883840 1885696 1930400 1959356 1974784 2021600 2029333 2045312 2062480 2078720 2093800 2125207 2136140 2152960 2162048 2237060 2239264 2275840 2292350 2310400 2345056 2354800 2357120 2428808 2449195 2468480 2470912 2556640 2567432 2578100 2587648 2598400 2659126 2670175 2680064 2691200 2702560 2796325 2799080 2821120 2844800 2931320 2934208 2946400 2990596 3014144 3036010 3085600 3088640 3195800 3209290 3234560 3251200 3299968 3350080 3378200 3404800 3417824 3498850 3526400 3579296 3664150 3667760 3696640 3738245 3767680 3771392 3860800 3918712 3949568 4043200 4058666 4090624 4124960 4187600 4250414 4272280 4305920 4324096 4474120 4478528 4551680 4584700 4620800 4690112 4709600 4714240 4857616 4898390 4936960 4941824 5113280 5134864 5156200 5175296 5196800 5318252 5340350 5360128 5382400 5405120 5592650 5598160 5642240 5689600 5862640 5868416 5892800 5981192 6028288 6072020 6171200 6177280 6391600 6418580 6469120 6502400 6599936 6647815 6700160 6756400 6809600 6835648 6997700 7052800 7158592 7328300 7335520 7476490 7535360 7542784 7590025 7721600 7837424 7899136 8023225 8086400 8117332 8181248 8249920 8375200 8500828 8544560 8611840 8648192 8948240 8957056 9103360 9169400 9241600 9306941 9380224 9419200 9428480 9715232 9796780 9873920 10146665 10226560 10269728 10312400 10393600 10626035 10636504 10680700 10720256 10764800 10810240 11185300 11196320 11379200 11725280 11736832 11785600 11962384 12056576 12144040 12245975 12342400 12354560 12783200 12837160 12938240 13199872 13295630 13400320 13512800 13671296 13995400 14105600 14205331 14317184 14656600 14671040 14952980 15070720 15180050 15443200 15674848 16046450 16172800 16234664 16362496 16499840 16750400 17001656 17089120 17296384 17896480 17914112 18338800 18483200 18613882 18691225 18760448 18838400 18856960 19430464 19593560 19747840 20293330 20453120 20539456 20624800 21252070 21273008 21361400 21440512 21529600 21620480 22370600 22392640 22758400 23450560 23473664 23571200 23924768 24288080 24491950 24684800 24709120 25566400 25674320 25876480 26399744 26591260 26800640 27025600 27342592 27990800 28211200 28410662 28634368 29313200 29342080 29905960 30141440 30360100 30886400 31349696 32092900 32345600 32469328 32724992 32999680 33239075 33500800 34003312 34178240 34592768 35792960 35828224 36677600 37227764 37382450 37520896 37676800 37713920 38557327 38860928 39187120 39495680 40586660 40906240 41078912 41249600 42504140 42546016 42722800 43059200 43240960 44741200 44785280 45516800 46534705 46901120 46947328 47142400 47849536 48576160 48983900 49369600 50733325 51132800 51348640 52799488 53130175 53182520 53601280 54051200 54685184 55981600 56821324 57268736 58626400 58684160 59811920 60282880 60720200 61772800 62699392 64185800 64691200 64938656 65999360 66478150 67001600 68006624 68356480 71026655 71585920 71656448 73355200 74455528 74764900 75041792 75353600 77114654 77721856 78374240 81173320 81812480 82157824 82499200 85008280 85092032 85445600 86481920 89482400 89570560 93069410 93802240 93894656 94284800 95699072 97152320 97967800 98739200 101466650 102265600 102697280 106260350 106365040 107202560 108102400 109370368 111963200 113642648 114537472 117252800 117368320 119623840 121440400 123545600 125398784 128371600 129382400 129877312 131998720 132956300 134003200 136013248 136712960 142053310 143171840 143312896 146710400 148911056 149529800 150083584 150707200 154229308 155443712 156748480 162346640 163624960 164315648 164998400 170016560 170184064 170891200 172963840 178964800 179141120 186138820 187604480 188569600 191398144 192786635 194304640 195935600 197478400 202933300 204531200 205394560 212520700 212730080 216204800 218740736 223926400 227285296 229074944 232673525 234505600 234736640 239247680 242880800 250797568 256743200 259754624 263997440 265912600 268006400 269901289 272026496 273425920 284106620 286343680 293420800 297822112 299059600 301414400 308458616 310887424 313496960 324693280 328631296 329996800 340033120 340368128 341782400 355133275 357929600 358282240 372277640 375208960 382796288 385573270 388609280 391871200 405866600 409062400 410789120 425041400 425460160 432409600 447852800 454570592 465347050 469011200 469473280 478495360 485761600 501595136 513486400 519509248 531825200 536012800 539802578 544052992 546851840 568213240 572687360 586841600 595644224 598119200 616917232 621774848 626993920 649386560 657262592 659993600 680066240 680736256 683564800 710266550 715859200 716564480 744555280 750417920 765592576 771146540 777218560 783742400 811733200 818124800 821578240 850082800 850920320 864819200 895705600 909141184 930694100 938022400 956990720 963933175 971523200 1003190272 1026972800 1039018496 1063650400 1079605156 1088105984 1093703680 1136426480 1145374720 1173683200 1191288448 1196238400 1233834464 1253987840 1298773120 1319987200 1349506445 1360132480 1361472512 1367129600 1420533100 1431718400 1489110560 1531185152 1542293080 1554437120 1567484800 1623466400 1643156480 1700165600 1701840640 1791411200 1818282368 1861388200 1876044800 1913981440 1927866350 1943046400 2053945600 2078036992 2127300800 2159210312 2176211968 2272852960 2347366400 2382576896 2392476800 2467668928 2507975680 2597546240 2699012890 2720264960 2722945024 2734259200 2841066200 2863436800 2978221120 3084586160 3108874240 3134969600 3246932800 3286312960 3400331200 3403681280 3582822400 3636564736 3722776400 3752089600 3827962880 3855732700 3886092800 4107891200 4156073984 4254601600 4318420624 4352423936 4545705920 4765153792 4784953600 4935337856 5015951360 5195092480 5398025780 5440529920 5468518400 5682132400 5726873600 5956442240 6169172320 6269939200 6493865600 6747532225 6800662400 6807362560 7273129472 7445552800 7655925760 7711465400 7772185600 8215782400 8509203200 8636841248 9091411840 9530307584 9569907200 9870675712 10390184960 10796051560 10881059840 11364264800 11912884480 12338344640 12539878400 12987731200 13495064450 13601324800 13614725120 14546258944 14891105600 15422930800 15544371200 16431564800 17018406400 17273682496 18182823680 19060615168 19139814400 19741351424 20780369920 21592103120 21762119680 22728529600 23825768960 24676689280 25079756800 25975462400 26990128900 27202649600 29092517888 29782211200 30845861600 34036812800 34547364992 36365647360 38279628800 39482702848 43184206240 45457059200 47651537920 49353378560 51950924800 53980257800 54405299200 59564422400 61691723200 68073625600 69094729984 72731294720 78965405696 86368412480 90914118400 95303075840 98706757120 103901849600 107960515600 108810598400 119128844800 123383446400 138189459968 145462589440 172736824960 181828236800 197413514240 215921031200 238257689600 246766892800 276378919936 345473649920 363656473600 394827028480 431842062400 476515379200 493533785600 552757839872 690947299840 727312947200 863684124800 987067571200 1381894599680 1727368249600 1974135142400 2763789199360 3454736499200 6909472998400 13818945996800
- Sum of all divisors σ(n): 43137868999680
- Sum of proper divisors (its aliquot sum) s(n): 29318923002880
- 13818945996800 is an abundant number, because the sum of its proper divisors (29318923002880) is greater than itself. Its abundance is 15499977006080
Bases of 13818945996800
- Binary: 110010010001011110010101111000001000000000002
- Hexadecimal: 0xC91795E0800
- Base-36: 4WCC3NGU8
Squares and roots of 13818945996800
- 13818945996800 squared (138189459968002) is 190963268462474745610240000
- 13818945996800 cubed (138189459968003) is 2638911094255359076871724421087232000000
-
The
square root of 13818945996800 is 3717384.2950117491 -
The
cube root of 13818945996800 is 23997.0748731287
Scales and comparisons
How big is 13818945996800?- 13,818,945,996,800 seconds is equal to 439,399 years, 38 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,818,945,996,800 would take you about one million, ninety-eight thousand, four hundred ninety-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 13818945996800 cubic inches would be around 1999.8 feet tall.
Recreational maths with 13818945996800
- 13818945996800 backwards is 00869954981831
- The number of decimal digits it has is: 14
- The sum of 13818945996800's digits is 71
- More coming soon!
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The information we have on file for 13818945996800 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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