13820061460128000
13,820,061,460,128,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13820061460128000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
13820061460128000 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 13820061460128000:
28 × 3 × 53 × 7 × 112 × 130372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 11 × 11 × 13037 × 13037)See below for interesting mathematical facts about the number 13820061460128000 from the Numbermatics database.
Names of 13820061460128000
- Cardinal: 13820061460128000 can be written as Thirteen quadrillion, eight hundred twenty trillion, sixty-one billion, four hundred sixty million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3820061460128 × 1016
Factors of 13820061460128000
Divisors of 13820061460128000
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 50 55 56 60 64 66 70 75 77 80 84 88 96 100 105 110 112 120 121 125 128 132 140 150 154 160 165 168 175 176 192 200 210 220 224 231 240 242 250 256 264 275 280 300 308 320 330 336 350 352 363 375 384 385 400 420 440 448 462 480 484 500 525 528 550 560 600 605 616 640 660 672 700 704 726 750 768 770 800 825 840 847 875 880 896 924 960 968 1000 1050 1056 1100 1120 1155 1200 1210 1232 1280 1320 1344 1375 1400 1408 1452 1500 1540 1600 1650 1680 1694 1750 1760 1792 1815 1848 1920 1925 1936 2000 2100 2112 2200 2240 2310 2400 2420 2464 2541 2625 2640 2688 2750 2800 2816 2904 3000 3025 3080 3200 3300 3360 3388 3500 3520 3630 3696 3840 3850 3872 4000 4125 4200 4224 4235 4400 4480 4620 4800 4840 4928 5082 5250 5280 5376 5500 5600 5775 5808 6000 6050 6160 6400 6600 6720 6776 7000 7040 7260 7392 7700 7744 8000 8250 8400 8448 8470 8800 8960 9075 9240 9600 9625 9680 9856 10164 10500 10560 11000 11200 11550 11616 12000 12100 12320 12705 13037 13200 13440 13552 14000 14080 14520 14784 15125 15400 15488 16000 16500 16800 16940 17600 18150 18480 19200 19250 19360 19712 20328 21000 21120 21175 22000 22400 23100 23232 24000 24200 24640 25410 26074 26400 26880 27104 28000 28875 29040 29568 30250 30800 30976 32000 33000 33600 33880 35200 36300 36960 38500 38720 39111 40656 42000 42240 42350 44000 44800 45375 46200 46464 48000 48400 49280 50820 52148 52800 54208 56000 57750 58080 59136 60500 61600 63525 65185 66000 67200 67760 70400 72600 73920 77000 77440 78222 81312 84000 84700 88000 90750 91259 92400 92928 96000 96800 98560 101640 104296 105600 105875 108416 112000 115500 116160 121000 123200 127050 130370 132000 134400 135520 143407 145200 147840 154000 154880 156444 162624 168000 169400 176000 181500 182518 184800 193600 195555 203280 208592 211200 211750 216832 224000 231000 232320 242000 246400 254100 260740 264000 271040 273777 286814 290400 295680 308000 312888 317625 325248 325925 336000 338800 352000 363000 365036 369600 387200 391110 406560 417184 423500 430221 456295 462000 464640 484000 492800 508200 521480 528000 542080 547554 573628 580800 616000 625776 635250 650496 651850 672000 677600 717035 726000 730072 739200 774400 782220 813120 834368 847000 860442 912590 924000 968000 977775 1003849 1016400 1042960 1056000 1084160 1095108 1147256 1161600 1232000 1251552 1270500 1303700 1355200 1368885 1434070 1452000 1460144 1478400 1564440 1577477 1626240 1629625 1668736 1694000 1720884 1825180 1848000 1936000 1955550 2007698 2032800 2085920 2151105 2190216 2281475 2294512 2323200 2464000 2503104 2541000 2607400 2710400 2737770 2868140 2904000 2920288 3011547 3128880 3154954 3252480 3259250 3337472 3388000 3441768 3585175 3650360 3696000 3872000 3911100 4015396 4065600 4171840 4302210 4380432 4562950 4589024 4732431 4888875 5006208 5019245 5082000 5214800 5420800 5475540 5736280 5808000 5840576 6023094 6257760 6309908 6518500 6776000 6844425 6883536 7170350 7300720 7392000 7822200 7887385 8030792 8131200 8343680 8604420 8760864 9125900 9178048 9464862 9777750 10012416 10038490 10164000 10429600 10755525 10951080 11042339 11407375 11472560 11616000 11681152 12046188 12515520 12619816 13037000 13552000 13688850 13767072 14340700 14601440 15057735 15644400 15774770 16061584 16262400 16687360 17208840 17521728 17925875 18251800 18356096 18929724 19555500 20076980 20328000 20859200 21511050 21902160 22084678 22814750 22945120 23362304 23662155 24092376 25031040 25096225 25239632 26074000 27104000 27377700 27534144 28681400 29202880 30115470 31288800 31549540 32123168 33127017 34222125 34417680 35043456 35851750 36503600 36712192 37859448 39111000 39436925 40153960 40656000 41718400 43022100 43804320 44169356 45629500 45890240 47324310 48184752 50062080 50192450 50479264 52148000 53777625 54755400 55068288 55211695 57362800 58405760 60230940 62577600 63099080 64246336 66254034 68444250 68835360 70086912 71703500 73007200 75288675 75718896 78222000 78873850 80307920 81312000 83436800 86044200 87608640 88338712 91259000 91780480 94648620 96369504 100384900 100958528 104296000 107555250 109510800 110136576 110423390 114725600 116811520 118310775 120461880 125155200 125481125 126198160 128492672 132508068 136888500 137670720 143407000 146014400 150577350 151437792 156444000 157747700 160615840 165635085 169963369 172088400 175217280 176677424 182518000 183560960 189297240 192739008 197184625 200769800 201917056 208592000 215110500 219021600 220846780 229451200 236621550 240923760 250310400 250962250 252396320 256985344 265016136 273777000 275341440 276058475 286814000 292028800 301154700 302875584 312888000 315495400 321231680 331270170 339926738 344176800 350434560 353354848 365036000 376443375 378594480 385478016 394369250 401539600 403834112 417184000 430221000 438043200 441693560 458902400 473243100 481847520 501924500 504792640 509890107 530032272 547554000 550682880 552116950 573628000 584057600 591553875 602309400 605751168 625776000 630990800 642463360 662540340 679853476 688353600 706709696 730072000 752886750 757188960 770956032 788738500 803079200 828175425 849816845 860442000 876086400 883387120 917804800 946486200 963695040 1003849000 1009585280 1019780214 1060064544 1095108000 1104233900 1147256000 1183107750 1189743583 1204618800 1211502336 1251552000 1261981600 1284926720 1325080680 1359706952 1376707200 1380292375 1413419392 1460144000 1505773500 1514377920 1577477000 1606158400 1656350850 1699633690 1720884000 1752172800 1766774240 1869597059 1892972400 1927390080 2007698000 2019170560 2039560428 2120129088 2190216000 2208467800 2294512000 2366215500 2379487166 2409237600 2523963200 2549450535 2650161360 2719413904 2753414400 2760584750 2826838784 2920288000 3011547000 3028755840 3154954000 3212316800 3312701700 3399267380 3441768000 3533548480 3569230749 3739194118 3785944800 3854780160 4015396000 4079120856 4140877125 4240258176 4249084225 4380432000 4416935600 4589024000 4732431000 4758974332 4818475200 5047926400 5098901070 5300322720 5438827808 5521169500 5608791177 5948717915 6023094000 6057511680 6309908000 6424633600 6625403400 6798534760 6883536000 7067096960 7138461498 7478388236 7571889600 8030792000 8158241712 8281754250 8480516352 8498168450 8760864000 8833871200 9347985295 9464862000 9517948664 9636950400 10095852800 10197802140 10600645440 10877655616 11042339000 11217582354 11897435830 12046188000 12619816000 12747252675 13087179413 13250806800 13597069520 13767072000 14134193920 14276922996 14956776472 15143779200 16061584000 16316483424 16563508500 16996336900 17667742400 17846153745 18695970590 18929724000 19035897328 19273900800 20395604280 20565567649 21201290880 21245421125 21755311232 22084678000 22435164708 23794871660 24092376000 25239632000 25494505350 26174358826 26501613600 27194139040 28043955885 28553845992 29743589575 29913552944 30287558400 32123168000 32632966848 33127017000 33992673800 35335484800 35692307490 37391941180 37859448000 38071794656 39261538239 40791208560 41131135298 42402581760 42490842250 43510622464 44169356000 44870329416 46739926475 47589743320 48184752000 50479264000 50989010700 52348717652 53003227200 54388278080 56087911770 57107691984 59487179150 59827105888 61696702947 63736263375 65265933696 65435897065 66254034000 67985347600 70670969600 71384614980 74783882360 75718896000 76143589312 78523076478 81582417120 82262270596 84981684500 88338712000 89230768725 89740658832 93479852950 95179486640 96369504000 101978021400 102827838245 104697435304 106006454400 108776556160 112175823540 114215383968 118974358300 119654211776 123393405894 127472526750 130531867392 130871794130 132508068000 135970695200 140219779425 142769229960 143958973543 148717947875 149567764720 151437792000 152287178624 157046152956 163164834240 164524541192 169963369000 176677424000 178461537450 179481317664 186959705900 190358973280 196307691195 203956042800 205655676490 209394870608 212012908800 217553112320 224351647080 228430767936 233699632375 237948716600 239308423552 246786811788 254945053500 261743588260 265016136000 271941390400 280439558850 285538459920 287917947086 297435895750 299135529440 304574357248 308483514735 314092305912 326329668480 327179485325 329049082384 339926738000 353354848000 356923074900 358962635328 373919411800 380717946560 392615382390 407912085600 411311352980 418789741216 431876920629 446153843625 448703294160 456861535872 467399264750 475897433200 478616847104 493573623576 509890107000 514139191225 523487176520 530032272000 543882780800 560879117700 571076919840 575835894172 594871791500 598271058880 616967029470 628184611824 652659336960 654358970650 658098164768 679853476000 701098897125 713846149800 717925270656 719794867715 747838823600 761435893120 785230764780 815824171200 822622705960 837579482432 863753841258 892307687250 897406588320 913723071744 934798529500 951794866400 981538455975 987147247152 1019780214000 1028278382450 1046974353040 1060064544000 1087765561600 1121758235400 1142153839680 1151671788344 1189743583000 1196542117760 1233934058940 1256369223648 1308717941300 1316196329536 1359706952000 1402197794250 1427692299600 1435850541312 1439589735430 1495677647200 1522871786240 1542417573675 1570461529560 1631648342400 1635897426625 1645245411920 1675158964864 1727507682516 1784615374500 1794813176640 1869597059000 1903589732800 1963076911950 1974294494304 2039560428000 2056556764900 2093948706080 2159384603145 2243516470800 2284307679360 2303343576688 2379487166000 2393084235520 2467868117880 2512738447296 2570695956125 2617435882600 2632392659072 2719413904000 2804395588500 2855384599200 2879179470860 2991355294400 3084835147350 3140923059120 3263296684800 3271794853250 3290490823840 3350317929728 3455015365032 3569230749000 3589626353280 3598974338575 3739194118000 3807179465600 3926153823900 3948588988608 4079120856000 4113113529800 4187897412160 4318769206290 4487032941600 4568615358720 4606687153376 4758974332000 4907692279875 4935736235760 5025476894592 5141391912250 5234871765200 5264785318144 5438827808000 5608791177000 5710769198400 5758358941720 5982710588800 6169670294700 6281846118240 6543589706500 6580981647680 6910030730064 7138461498000 7179252706560 7197948677150 7478388236000 7614358931200 7712087868375 7852307647800 7897177977216 8158241712000 8226227059600 8375794824320 8637538412580 8974065883200 9213374306752 9517948664000 9815384559750 9871472471520 10050953789184 10282783824500 10469743530400 10796923015725 11217582354000 11421538396800 11516717883440 11965421177600 12339340589400 12563692236480 13087179413000 13161963295360 13820061460128 14276922996000 14395897354300 14956776472000 15424175736750 15704615295600 15794355954432 16316483424000 16452454119200 16751589648640 17275076825160 17948131766400 17994871692875 18426748613504 19035897328000 19630769119500 19742944943040 20565567649000 20939487060800 21593846031450 22435164708000 22843076793600 23033435766880 24678681178800 25127384472960 26174358826000 26323926590720 27640122920256 28553845992000 28791794708600 29913552944000 30848351473500 31409230591200 32904908238400 34550153650320 35896263532800 35989743385750 36853497227008 38071794656000 39261538239000 39485889886080 41131135298000 41878974121600 43187692062900 44870329416000 46066871533760 49357362357600 50254768945920 52348717652000 53984615078625 55280245840512 57107691984000 57583589417200 59827105888000 61696702947000 62818461182400 65809816476800 69100307300640 71979486771500 78523076478000 78971779772160 82262270596000 83757948243200 86375384125800 89740658832000 92133743067520 98714724715200 104697435304000 107969230157250 110560491681024 114215383968000 115167178834400 123393405894000 125636922364800 131619632953600 138200614601280 143958973543000 157046152956000 164524541192000 172750768251600 179481317664000 184267486135040 197429449430400 209394870608000 215938460314500 230334357668800 246786811788000 251273844729600 276401229202560 287917947086000 314092305912000 329049082384000 345501536503200 394858898860800 418789741216000 431876920629000 460668715337600 493573623576000 552802458405120 575835894172000 628184611824000 658098164768000 691003073006400 863753841258000 921337430675200 987147247152000 1151671788344000 1256369223648000 1382006146012800 1727507682516000 1974294494304000 2303343576688000 2764012292025600 3455015365032000 4606687153376000 6910030730064000 13820061460128000
- Sum of all divisors σ(n): 57668115892313472
- Sum of proper divisors (its aliquot sum) s(n): 43848054432185472
- 13820061460128000 is an abundant number, because the sum of its proper divisors (43848054432185472) is greater than itself. Its abundance is 30027992972057472
Bases of 13820061460128000
- Binary: 1100010001100101000101110011100001101011100001000000002
- Hexadecimal: 0x311945CE1AE100
- Base-36: 3S2SWL5Y3UO
Squares and roots of 13820061460128000
- 13820061460128000 squared (138200614601280002) is 190994098761715267333776384000000
- 13820061460128000 cubed (138200614601280003) is 2639550183408662134214619514995284017152000000000
-
The
square root of 13820061460128000 is 117558757.4795174501 -
The
cube root of 13820061460128000 is 239977.2053589755
Scales and comparisons
How big is 13820061460128000?- 13,820,061,460,128,000 seconds is equal to 439,435,206 years, 9 weeks, 18 hours, 40 minutes.
-
To count from 1 to 13,820,061,460,128,000 would take you about one billion, three hundred eighteen million, three hundred five thousand, six hundred eighteen 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 13820061460128000 cubic inches would be around 19998.1 feet tall.
Recreational maths with 13820061460128000
- 13820061460128000 backwards is 00082106416002831
- 13820061460128000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13820061460128000's digits is 42
- More coming soon!
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The information we have on file for 13820061460128000 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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