13481216863296000
13,481,216,863,296,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13481216863296000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
13481216863296000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13481216863296000:
29 × 3 × 53 × 7 × 132 × 61 × 973001
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 61 × 973001)See below for interesting mathematical facts about the number 13481216863296000 from the Numbermatics database.
Names of 13481216863296000
- Cardinal: 13481216863296000 can be written as Thirteen quadrillion, four hundred eighty-one trillion, two hundred sixteen billion, eight hundred sixty-three million, two hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.3481216863296 × 1016
Factors of 13481216863296000
Divisors of 13481216863296000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 61 64 65 70 75 78 80 84 91 96 100 104 105 112 120 122 125 128 130 140 150 156 160 168 169 175 182 183 192 195 200 208 210 224 240 244 250 256 260 273 280 300 305 312 320 325 336 338 350 364 366 375 384 390 400 416 420 427 448 455 480 488 500 507 512 520 525 546 560 600 610 624 640 650 672 676 700 728 732 750 768 780 793 800 832 840 845 854 875 896 910 915 960 975 976 1000 1014 1040 1050 1092 1120 1183 1200 1220 1248 1280 1281 1300 1344 1352 1365 1400 1456 1464 1500 1525 1536 1560 1586 1600 1625 1664 1680 1690 1708 1750 1792 1820 1830 1920 1950 1952 2000 2028 2080 2100 2135 2184 2240 2275 2366 2379 2400 2440 2496 2535 2560 2562 2600 2625 2688 2704 2730 2800 2912 2928 3000 3050 3120 3172 3200 3250 3328 3360 3380 3416 3500 3549 3584 3640 3660 3840 3900 3904 3965 4000 4056 4160 4200 4225 4270 4368 4480 4550 4575 4732 4758 4800 4875 4880 4992 5070 5124 5200 5250 5376 5408 5460 5551 5600 5824 5856 5915 6000 6100 6240 6344 6400 6405 6500 6656 6720 6760 6825 6832 7000 7098 7280 7320 7625 7680 7800 7808 7930 8000 8112 8320 8400 8450 8540 8736 8960 9100 9150 9464 9516 9600 9750 9760 9984 10140 10248 10309 10400 10500 10675 10752 10816 10920 11102 11200 11375 11648 11712 11830 11895 12000 12200 12480 12675 12688 12800 12810 13000 13440 13520 13650 13664 14000 14196 14560 14640 15250 15600 15616 15860 16000 16224 16640 16653 16800 16900 17080 17472 17745 17920 18200 18300 18928 19032 19200 19500 19520 19825 19968 20280 20496 20618 20800 21000 21125 21350 21632 21840 22204 22400 22750 22875 23296 23424 23660 23790 24000 24400 24960 25350 25376 25620 26000 26880 27040 27300 27328 27755 28000 28392 29120 29280 29575 30500 30927 31200 31232 31720 32000 32025 32448 33280 33306 33600 33800 34125 34160 34944 35490 36400 36600 37856 38064 38400 39000 39040 39650 40560 40992 41236 41600 42000 42250 42700 43264 43680 44408 44800 45500 45750 46592 46848 47320 47580 48000 48800 49920 50700 50752 51240 51545 52000 53375 53760 54080 54600 54656 55510 56000 56784 58240 58560 59150 59475 61000 61854 62400 63375 63440 64000 64050 64896 66612 67200 67600 68250 68320 69888 70980 72163 72800 73200 75712 76128 78000 78080 79300 81120 81984 82472 83200 83265 84000 84500 85400 86528 87360 88725 88816 89600 91000 91500 93696 94640 95160 96000 97600 99125 99840 101400 101504 102480 103090 104000 106750 108160 109200 109312 111020 112000 113568 116480 117120 118300 118950 122000 123708 124800 126750 126880 128100 129792 133224 134400 135200 136500 136640 138775 139776 141960 144326 145600 146400 147875 151424 152256 154635 156000 156160 158600 160125 162240 163968 164944 166400 166530 168000 169000 170800 174720 177450 177632 182000 183000 189280 190320 192000 195200 198250 202800 203008 204960 206180 208000 213500 216320 216489 218400 218624 222040 224000 227136 232960 234240 236600 237900 244000 247416 249600 253500 253760 256200 257725 259584 266448 268800 270400 273000 273280 277550 283920 288652 291200 292800 295750 297375 302848 304512 309270 312000 317200 320250 324480 327936 329888 333060 336000 338000 341600 349440 354900 355264 360815 364000 366000 378560 380640 390400 396500 405600 406016 409920 412360 416000 416325 427000 432640 432978 436800 443625 444080 448000 454272 468480 473200 475800 488000 494832 499200 507000 507520 512400 515450 532896 540800 546000 546560 555100 567840 577304 582400 585600 591500 594750 605696 609024 618540 624000 634400 640500 648960 655872 659776 666120 672000 676000 683200 693875 698880 709800 710528 721630 728000 732000 757120 761280 773175 780800 793000 811200 819840 824720 832000 832650 854000 865956 873600 887250 888160 908544 946400 951600 973001 976000 989664 1014000 1015040 1024800 1030900 1065792 1081600 1082445 1092000 1093120 1110200 1135680 1154608 1164800 1171200 1183000 1189500 1218048 1237080 1248000 1268800 1281000 1288625 1297920 1319552 1332240 1344000 1352000 1366400 1387750 1419600 1421056 1443260 1456000 1464000 1514240 1522560 1546350 1586000 1622400 1639680 1649440 1665300 1708000 1731912 1747200 1774500 1776320 1804075 1817088 1892800 1903200 1946002 1952000 1979328 2028000 2030080 2049600 2061800 2081625 2131584 2163200 2164890 2184000 2220400 2271360 2309216 2342400 2366000 2379000 2474160 2496000 2537600 2562000 2577250 2639104 2664480 2704000 2732800 2775500 2839200 2842112 2886520 2912000 2919003 2928000 3028480 3045120 3092700 3172000 3244800 3279360 3298880 3330600 3416000 3463824 3494400 3549000 3552640 3608150 3785600 3806400 3865875 3892004 3904000 3958656 4056000 4099200 4123600 4163250 4263168 4329780 4368000 4440800 4542720 4618432 4732000 4758000 4865005 4948320 5075200 5124000 5154500 5278208 5328960 5408000 5412225 5465600 5551000 5678400 5773040 5824000 5838006 5856000 6090240 6185400 6344000 6489600 6597760 6661200 6811007 6832000 6927648 7098000 7105280 7216300 7571200 7612800 7731750 7784008 7917312 8112000 8198400 8247200 8326500 8526336 8659560 8736000 8881600 9020375 9085440 9236864 9464000 9516000 9730010 9896640 10150400 10248000 10309000 10657920 10816000 10824450 11102000 11356800 11546080 11676012 11712000 12370800 12649013 12688000 13195520 13322400 13622014 13664000 13855296 14196000 14210560 14432600 14595015 15142400 15225600 15463500 15568016 15834624 16224000 16396800 16494400 16653000 17319120 17472000 17763200 18040750 18473728 18928000 19032000 19460020 19793280 20433021 20496000 20618000 21315840 21648900 22204000 22713600 23092160 23352024 24325025 24741600 25298026 25376000 26391040 26644800 27061125 27244028 27328000 27710592 28392000 28865200 29190030 30451200 30927000 31136032 32448000 32988800 33306000 34055035 34638240 35526400 36081500 36947456 37856000 37947039 38064000 38920040 39586560 40866042 40992000 41236000 42631680 43297800 44408000 45427200 46184320 46704048 48650050 49483200 50596052 50752000 53289600 54122250 54488056 55421184 56784000 57730400 58380060 59353061 61854000 62272064 63245065 65977600 66612000 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493311507 494832000 498176512 505960520 510825525 531258546 532896000 544880560 554211840 577304000 583800600 593530610 607152624 622720640 632450650 653856672 657748676 659776000 681100700 692764800 708344728 712236732 729750750 747264768 758940780 771589793 778400800 809536832 817320840 822185845 830942854 851375875 865956000 871808896 885430910 890295915 923686400 934080960 948675975 949648976 973001000 986623014 989664000 1011921040 1021651050 1062517092 1065792000 1089761120 1151060183 1154608000 1167601200 1187061220 1214305248 1245441280 1246414281 1264901300 1307713344 1315497352 1328146365 1362201400 1385529600 1416689456 1424473464 1459501500 1483826525 1494529536 1517881560 1543179586 1556801600 1581126625 1619073664 1634641680 1644371690 1661885708 1702751750 1731912000 1743617792 1770861820 1780591830 1868161920 1897351950 1899297952 1946002000 1973246028 1979328000 2023842080 2043302100 2077357135 2125034184 2179522240 2213577275 2302120366 2309216000 2314769379 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370363100640 379859590400 385794896500 394649205600 395053974016 398852569920 401226692360 404768416000 405084641325 415471427000 420959152640 421288026978 425006836800 431647568625 432090284080 435904448000 442007110272 455831508480 460424073200 462953875800 474824488000 481472030832 485722099200 493311507000 493817467520 498565712400 501533365450 518508340896 526198940800 531258546000 531803426560 540112855100 552508887840 561717369304 566675782400 569789385600 575530091500 578692344750 589342813696 592580961024 601840038540 607152624000 617271834400 623207140500 631438728960 638164111872 641962707776 648135426120 653856672000 657748676000 664754283200 675141068875 680010938880 690636109800 691344454528 702146711630 708344728000 712236732000 736678517120 740726201280 752300048175 759719180800 771589793000 789298411200 797705139840 802453384720 809536832000 810169282650 830942854000 842576053956 850013673600 863295137250 864180568160 884014220544 920848146400 925907751600 949648976000 962944061664 986623014000 987634935040 997131424800 1003066730900 1037016681792 1052397881600 1053220067445 1062517092000 1063606853120 1080225710200 1105017775680 1123434738608 1133351564800 1139578771200 1151060183000 1157384689500 1185161922048 1203680077080 1214305248000 1234543668800 1246414281000 1253833413625 1262877457920 1283925415552 1296270852240 1307713344000 1315497352000 1329508566400 1350282137750 1381272219600 1382688909056 1404293423260 1416689456000 1424473464000 1473357034240 1481452402560 1504600096350 1543179586000 1578596822400 1595410279680 1604906769440 1620338565300 1661885708000 1685152107912 1700027347200 1726590274500 1728361136320 1755366779075 1768028441088 1841696292800 1851815503200 1899297952000 1925888123328 1973246028000 1975269870080 1994262849600 2006133461800 2025423206625 2074033363584 2104795763200 2106440134890 2125034184000 2160451420400 2210035551360 2246869477216 2279157542400 2302120366000 2314769379000 2407360154160 2428610496000 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7523000481750 7703552493312 7892984112000 7977051398400 8024533847200 8101692826500 8296133454336 8425760539560 8500136736000 8641805681600 8776833895375 8840142205440 8987477908864 9208481464000 9259077516000 9629440616640 9876349350400 9971314248000 10030667309000 10370166817920 10523978816000 10532200674450 10802257102000 11050177756800 11234347386080 11395787712000 12036800770800 12345436688000 12839254155520 12962708522400 13295085664000 13481216863296 13812722196000 13826889090560 14042934232600 14733570342400 14814524025600 15046000963500 15407104986624 15785968224000 15954102796800 16049067694400 16203385653000 16851521079120 17000273472000 17283611363200 17553667790750 17974955817728 18416962928000 18518155032000 19258881233280 19942628496000 20061334618000 20740333635840 21064401348900 21604514204000 22100355513600 22468694772160 24073601541600 24690873376000 25678508311040 25925417044800 26330501686125 26590171328000 26962433726592 27625444392000 28085868465200 29629048051200 30092001927000 31571936448000 32098135388800 32406771306000 33703042158240 34567222726400 35107335581500 35949911635456 36833925856000 37036310064000 38517762466560 39885256992000 40122669236000 41480667271680 42128802697800 43209028408000 44200711027200 44937389544320 48147203083200 49381746752000 51850834089600 52661003372250 53924867453184 55250888784000 56171736930400 60184003854000 64196270777600 64813542612000 67406084316480 69134445452800 70214671163000 73667851712000 74072620128000 77035524933120 79770513984000 80245338472000 84257605395600 86418056816000 89874779088640 96294406166400 103701668179200 105322006744500 107849734906368 110501777568000 112343473860800 120368007708000 128392541555200 129627085224000 134812168632960 140429342326000 148145240256000 160490676944000 168515210791200 172836113632000 179749558177280 192588812332800 207403336358400 210644013489000 221003555136000 224686947721600 240736015416000 259254170448000 269624337265920 280858684652000 320981353888000 337030421582400 345672227264000 385177624665600 421288026978000 449373895443200 481472030832000 518508340896000 539248674531840 561717369304000 641962707776000 674060843164800 842576053956000 898747790886400 962944061664000 1037016681792000 1123434738608000 1348121686329600 1685152107912000 1925888123328000 2246869477216000 2696243372659200 3370304215824000 4493738954432000 6740608431648000 13481216863296000
- Sum of all divisors σ(n): 56377617992796672
- Sum of proper divisors (its aliquot sum) s(n): 42896401129500672
- 13481216863296000 is an abundant number, because the sum of its proper divisors (42896401129500672) is greater than itself. Its abundance is 29415184266204672
Bases of 13481216863296000
- Binary: 1011111110010100011000011001100100011011011010000000002
- Hexadecimal: 0x2FE5186646DA00
- Base-36: 3OQOXJ1P9MO
Squares and roots of 13481216863296000
- 13481216863296000 squared (134812168632960002) is 181743208115216441151983616000000
- 13481216863296000 cubed (134812168632960003) is 2450119602032370322955072736499903758336000000000
-
The
square root of 13481216863296000 is 116108642.5004443843 -
The
cube root of 13481216863296000 is 237999.6755362193
Scales and comparisons
How big is 13481216863296000?- 13,481,216,863,296,000 seconds is equal to 428,660,996 years, 5 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 13,481,216,863,296,000 would take you about one billion, two hundred eighty-five million, nine hundred eighty-two thousand, nine hundred eighty-eight 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 13481216863296000 cubic inches would be around 19833.3 feet tall.
Recreational maths with 13481216863296000
- 13481216863296000 backwards is 00069236861218431
- 13481216863296000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13481216863296000's digits is 60
- More coming soon!
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MLA style:
"Number 13481216863296000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 13481216863296000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/13481216863296000/
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Numbermatics. 2024. "Number 13481216863296000 - Facts about the integer". https://numbermatics.com/n/13481216863296000/
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