20401221024000
20,401,221,024,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 20401221024000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
20401221024000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 20401221024000:
28 × 32 × 53 × 31 × 37 × 151 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 31 × 37 × 151 × 409)See below for interesting mathematical facts about the number 20401221024000 from the Numbermatics database.
Names of 20401221024000
- Cardinal: 20401221024000 can be written as Twenty trillion, four hundred one billion, two hundred twenty-one million, twenty-four thousand.
Scientific notation
- Scientific notation: 2.0401221024 × 1013
Factors of 20401221024000
Divisors of 20401221024000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 37 40 45 48 50 60 62 64 72 74 75 80 90 93 96 100 111 120 124 125 128 144 148 150 151 155 160 180 185 186 192 200 222 225 240 248 250 256 279 288 296 300 302 310 320 333 360 370 372 375 384 400 409 444 450 453 465 480 496 500 555 558 576 592 600 604 620 640 666 720 740 744 750 755 768 775 800 818 888 900 906 925 930 960 992 1000 1110 1116 1125 1147 1152 1184 1200 1208 1227 1240 1280 1332 1359 1395 1440 1480 1488 1500 1510 1550 1600 1636 1665 1776 1800 1812 1850 1860 1920 1984 2000 2045 2220 2232 2250 2265 2294 2304 2325 2368 2400 2416 2454 2480 2664 2718 2775 2790 2880 2960 2976 3000 3020 3100 3200 3272 3330 3441 3552 3600 3624 3681 3700 3720 3775 3840 3875 3968 4000 4090 4440 4464 4500 4530 4588 4625 4650 4681 4736 4800 4832 4908 4960 5328 5436 5550 5580 5587 5735 5760 5920 5952 6000 6040 6135 6200 6400 6544 6660 6795 6882 6975 7104 7200 7248 7362 7400 7440 7550 7750 7936 8000 8180 8325 8880 8928 9000 9060 9176 9250 9300 9362 9472 9600 9664 9816 9920 10225 10323 10656 10872 11100 11160 11174 11325 11470 11520 11625 11840 11904 12000 12080 12270 12400 12679 13088 13320 13590 13764 13875 13950 14043 14208 14400 14496 14724 14800 14880 15100 15133 15500 16000 16360 16650 16761 17205 17760 17856 18000 18120 18352 18405 18500 18600 18724 18875 19200 19328 19632 19840 20450 20646 21312 21744 22200 22320 22348 22650 22940 23250 23405 23680 23808 24000 24160 24540 24800 25358 26176 26640 27180 27528 27750 27900 27935 28086 28416 28675 28800 28992 29448 29600 29760 30200 30266 30675 31000 32000 32720 33300 33522 33975 34410 34875 35520 35712 36000 36240 36704 36810 37000 37200 37448 37750 38037 38656 39264 39680 40900 41292 41625 42129 42624 43488 44400 44640 44696 45300 45399 45880 46500 46810 47360 48000 48320 49080 49600 50283 50716 51125 51615 52352 53280 54360 55056 55500 55800 55870 56172 56625 57350 57600 57984 58896 59200 59520 60400 60532 61350 61759 62000 63395 65440 66600 67044 67950 68820 69750 70215 71040 71424 72000 72480 73408 73620 74000 74400 74896 75500 75665 76074 78528 81800 82584 83250 83805 84258 85248 86025 86976 88800 89280 89392 90600 90798 91760 92025 93000 93620 96000 96640 98160 99200 100566 101432 102250 103230 104704 106560 108720 110112 111000 111600 111740 112344 113250 114111 114700 115968 117025 117792 118400 119040 120800 121064 122700 123518 124000 126790 130880 133200 134088 135900 136197 137640 139500 139675 140430 142080 143375 144000 144960 146816 147240 148000 148800 149792 151000 151330 152148 153375 157056 163600 165168 166500 167610 168516 169875 172050 173197 173952 177600 178560 178784 181200 181596 183520 184050 185277 186000 187240 190185 193280 196320 198400 201132 202864 204500 206460 210645 213120 217440 220224 222000 223200 223480 224688 226500 226995 228222 229400 234050 235584 236800 241600 242128 245400 247036 248000 251415 253580 258075 261760 266400 268176 271800 272394 275280 279000 279350 280860 286750 288000 289920 293632 294480 296000 297600 299584 302000 302660 304296 306750 308795 314112 316975 327200 330336 333000 335220 337032 339750 344100 346394 347904 351075 355200 357120 357568 362400 363192 367040 368100 370554 372000 374480 378325 380370 392640 402264 405728 409000 412920 419025 421290 426240 430125 434880 440448 444000 446400 446960 449376 453000 453990 456444 458800 460125 468100 469123 471168 483200 484256 490800 494072 496000 502830 507160 516150 519591 523520 532800 536352 543600 544788 550560 555831 558000 558700 561720 570555 573500 579840 585125 588960 592000 595200 599168 604000 605320 608592 613500 617590 633950 654400 660672 666000 670440 674064 679500 680985 688200 692788 698375 702150 710400 715136 724800 726384 734080 736200 741108 744000 748960 756650 760740 785280 804528 811456 818000 825840 838050 842580 860250 865985 869760 880896 888000 892800 893920 898752 906000 907980 912888 917600 920250 926385 936200 938246 942336 950925 966400 968512 981600 988144 992000 1005660 1014320 1032300 1039182 1053225 1065600 1072704 1087200 1089576 1101120 1111662 1116000 1117400 1123440 1134975 1141110 1147000 1170250 1177920 1184000 1198336 1208000 1210640 1217184 1227000 1235180 1257075 1267900 1290375 1308800 1321344 1332000 1340880 1348128 1359000 1361970 1376400 1385576 1396750 1404300 1407369 1430272 1449600 1452768 1468160 1472400 1482216 1488000 1497920 1513300 1521480 1543975 1558773 1570560 1584875 1609056 1622912 1636000 1651680 1676100 1685160 1720500 1731970 1739520 1755375 1776000 1785600 1787840 1797504 1812000 1815960 1825776 1835200 1840500 1852770 1872400 1876492 1891625 1901850 1914529 1937024 1963200 1976288 2011320 2028640 2064600 2078364 2095125 2106450 2131200 2145408 2174400 2179152 2202240 2223324 2232000 2234800 2246880 2269950 2282220 2285083 2294000 2340500 2345615 2355840 2416000 2421280 2434368 2454000 2470360 2514150 2535800 2580750 2597955 2617600 2642688 2664000 2681760 2696256 2718000 2723940 2752800 2771152 2779155 2793500 2808600 2814738 2852775 2899200 2905536 2944800 2964432 2976000 2995840 3026600 3042960 3087950 3117546 3169750 3218112 3245824 3272000 3303360 3352200 3370320 3404925 3441000 3463940 3510750 3552000 3575680 3595008 3624000 3631920 3651552 3670400 3681000 3705540 3744800 3752984 3783250 3803700 3829058 3874048 3926400 3952576 4022640 4057280 4129200 4156728 4190250 4212900 4222107 4290816 4329925 4348800 4358304 4404480 4446648 4464000 4469600 4493760 4539900 4564440 4570166 4588000 4631925 4681000 4691230 4711680 4754625 4832000 4842560 4868736 4908000 4940720 5028300 5071600 5161500 5195910 5266125 5328000 5363520 5392512 5436000 5447880 5505600 5542304 5558310 5587000 5617200 5629476 5674875 5705550 5743587 5811072 5889600 5928864 5991680 6053200 6085920 6175900 6235092 6285375 6339500 6436224 6544000 6606720 6704400 6740640 6809850 6855249 6882000 6927880 7021500 7036845 7151360 7248000 7263840 7303104 7340800 7362000 7411080 7489600 7505968 7566500 7607400 7658116 7719875 7793865 7852800 7905152 8045280 8114560 8258400 8313456 8380500 8425800 8444214 8659850 8697600 8716608 8893296 8928000 8939200 8987520 9079800 9128880 9140332 9176000 9263850 9362000 9382460 9509250 9572645 9685120 9737472 9816000 9881440 10056600 10143200 10323000 10391820 10532250 10656000 10727040 10785024 10872000 10895760 11011200 11084608 11116620 11174000 11234400 11258952 11349750 11411100 11425415 11487174 11622144 11728075 11779200 11857728 12106400 12171840 12351800 12470184 12570750 12679000 12872448 12989775 13088000 13213440 13408800 13481280 13619700 13710498 13764000 13855760 13895775 14043000 14073690 14263875 14496000 14527680 14606208 14724000 14822160 14979200 15011936 15133000 15214800 15316232 15439750 15587730 15810304 16090560 16229120 16516800 16626912 16761000 16851600 16888428 17024625 17230761 17319700 17433216 17786592 17878400 17975040 18159600 18257760 18280664 18352000 18527700 18724000 18764920 19018500 19145290 19370240 19632000 19762880 20113200 20286400 20565747 20646000 20783640 21064500 21110535 21454080 21649625 21744000 21791520 22022400 22169216 22233240 22348000 22468800 22517904 22699500 22822200 22850830 22974348 23159625 23456150 23558400 23715456 24212800 24343680 24703600 24940368 25141500 25358000 25979550 26817600 26962560 27239400 27420996 27528000 27711520 27791550 28086000 28147380 28527750 28717935 29055360 29212416 29448000 29644320 29958400 30023872 30266000 30429600 30632464 30879500 31175460 32181120 33033600 33253824 33522000 33703200 33776856 34049250 34276245 34461522 34639400 34866432 35184225 35573184 35756800 36319200 36515520 36561328 36704000 37055400 37448000 37529840 38037000 38290580 38969325 39264000 39525760 40226400 40572800 41131494 41292000 41567280 42129000 42221070 43299250 43488000 43583040 44338432 44466480 44696000 44937600 45035808 45399000 45644400 45701660 45948696 46319250 46912300 47430912 47863225 48425600 48687360 49407200 49880736 50283000 50716000 51959100 53635200 53925120 54478800 54841992 55056000 55423040 55583100 56172000 56294760 57055500 57127075 57435870 58110720 58640375 58896000 59288640 60047744 60532000 60859200 61264928 61759000 62350920 64362240 64948875 66067200 66507648 67044000 67406400 67553712 68098500 68552490 68923044 69278800 69478875 70368450 70837573 71146368 72638400 73031040 73122656 74110800 74896000 75059680 76074000 76581160 77938650 79051520 80452800 81145600 82262988 82584000 83134560 84258000 84442140 86153805 86598500 87166080 88932960 89392000 89875200 90071616 90798000 91288800 91403320 91897392 92638500 93824600 95726450 96851200 98814400 99761472 100566000 101432000 102828735 103918200 105552675 107270400 108957600 109683984 110112000 110846080 111166200 112344000 112589520 114111000 114254150 114871740 117280750 117792000 118577280 120095488 121064000 121718400 122529856 123518000 124701840 129897750 133015296 134088000 134812800 135107424 136197000 137104980 137846088 138557600 138957750 140736900 141675146 142292736 143589675 145276800 146062080 146245312 148221600 149792000 150119360 152148000 153162320 155877300 160905600 164525976 165168000 166269120 168516000 168884280 171381225 172307610 173197000 174332160 175921125 177865920 178784000 180143232 181596000 182577600 182806640 183794784 185277000 187649200 191452900 194846625 197628800 199522944 201132000 202864000 205657470 207836400 211105350 212512719 217915200 219367968 221692160 222332400 224688000 225179040 228222000 228508300 229743480 234561500 237154560 239316125 242128000 243436800 245059712 247036000 249403680 259795500 268176000 269625600 270214848 272394000 274209960 275692176 277115200 277915500 281473800 283350292 285635375 287179350 290553600 292490624 296443200 300238720 304296000 306324640 311754600 321811200 329051952 330336000 332538240 337032000 337768560 342762450 344615220 346394000 351842250 354187865 355731840 360286464 363192000 365155200 365613280 367589568 370554000 375298400 382905800 389693250 395257600 399045888 402264000 405728000 411314940 415672800 422210700 425025438 430769025 435830400 438735936 444664800 449376000 450358080 456444000 457016600 459486960 469123000 478632250 484256000 490119424 494072000 498807360 514143675 519591000 527763375 536352000 540429696 544788000 548419920 551384352 554230400 555831000 562947600 566700584 571270750 574358700 584981248 592886400 600477440 608592000 612649280 623509200 637538157 658103904 665076480 674064000 675537120 685524900 689230440 692788000 703684500 708375730 711463680 717948375 726384000 730310400 731226560 735179136 741108000 750596800 765811600 779386500 804528000 822629880 831345600 844421400 850050876 856906125 861538050 871660800 877471872 889329600 900716160 912888000 914033200 918973920 938246000 957264500 988144000 997614720 1028287350 1039182000 1055526750 1062563595 1080859392 1089576000 1096839840 1102768704 1108460800 1111662000 1125895200 1133401168 1142541500 1148717400 1185772800 1217184000 1225298560 1247018400 1275076314 1316207808 1348128000 1351074240 1371049800 1378460880 1385576000 1407369000 1416751460 1435896750 1452768000 1462453120 1470358272 1482216000 1501193600 1531623200 1558773000 1609056000 1645259760 1662691200 1688842800 1700101752 1713812250 1723076100 1754943744 1770939325 1778659200 1801432320 1825776000 1828066400 1837947840 1876492000 1914529000 1976288000 1995229440 2056574700 2078364000 2111053500 2125127190 2153845125 2179152000 2193679680 2205537408 2223324000 2251790400 2266802336 2285083000 2297434800 2450597120 2494036800 2550152628 2570718375 2632415616 2702148480 2742099600 2756921760 2771152000 2814738000 2833502920 2871793500 2924906240 2964432000 3002387200 3063246400 3117546000 3187690785 3290519520 3325382400 3377685600 3400203504 3427624500 3446152200 3541878650 3557318400 3651552000 3656132800 3675895680 3752984000 3829058000 4113149400 4156728000 4222107000 4250254380 4307690250 4358304000 4387359360 4411074816 4446648000 4503580800 4533604672 4570166000 4594869600 4988073600 5100305256 5141436750 5264831232 5312817975 5404296960 5484199200 5513843520 5542304000 5629476000 5667005840 5743587000 5928864000 6126492800 6235092000 6375381570 6581039040 6755371200 6800407008 6855249000 6892304400 7083757300 7312265600 7351791360 7505968000 7658116000 8226298800 8313456000 8444214000 8500508760 8615380500 8774718720 8854696625 8893296000 9007161600 9067209344 9140332000 9189739200 9976147200 10200610512 10282873500 10625635950 10968398400 11027687040 11258952000 11334011680 11487174000 12252985600 12470184000 12750763140 13162078080 13510742400 13600814016 13710498000 13784608800 14167514600 14624531200 15011936000 15316232000 15938453925 16452597600 16626912000 16888428000 17001017520 17230761000 17709393250 17786592000 18134418688 18280664000 18379478400 20401221024 20565747000 21251271900 21936796800 22055374080 22517904000 22668023360 22974348000 24940368000 25501526280 26324156160 26564089875 27021484800 27201628032 27420996000 27569217600 28335029200 30632464000 31876907850 32905195200 33776856000 34002035040 34461522000 35418786500 36561328000 36758956800 40802442048 41131494000 42502543800 43873593600 45035808000 45336046720 45948696000 49880736000 51003052560 53128179750 54403256064 54841992000 55138435200 56670058400 61264928000 63753815700 65810390400 67553712000 68004070080 68923044000 70837573000 73122656000 79692269625 81604884096 82262988000 85005087600 90672093440 91897392000 102006105120 106256359500 109683984000 110276870400 113340116800 127507631400 131620780800 135107424000 136008140160 137846088000 141675146000 159384539250 163209768192 164525976000 170010175200 183794784000 204012210240 212512719000 219367968000 226680233600 255015262800 272016280320 275692176000 283350292000 318769078500 329051952000 340020350400 408024420480 425025438000 453360467200 510030525600 551384352000 566700584000 637538157000 658103904000 680040700800 816048840960 850050876000 1020061051200 1133401168000 1275076314000 1360081401600 1700101752000 2040122102400 2266802336000 2550152628000 3400203504000 4080244204800 5100305256000 6800407008000 10200610512000 20401221024000
- Sum of all divisors σ(n): 78532580904960
- Sum of proper divisors (its aliquot sum) s(n): 58131359880960
- 20401221024000 is an abundant number, because the sum of its proper divisors (58131359880960) is greater than itself. Its abundance is 37730138856960
Bases of 20401221024000
- Binary: 1001010001110000001111000100000111001000000002
- Hexadecimal: 0x128E07883900
- Base-36: 78C6W94W0
Squares and roots of 20401221024000
- 20401221024000 squared (204012210240002) is 416209819270099608576000000
- 20401221024000 cubed (204012210240003) is 8491188515288396469054861901824000000000
-
The
square root of 20401221024000 is 4516771.0838606821 -
The
cube root of 20401221024000 is 27324.4893002581
Scales and comparisons
How big is 20401221024000?- 20,401,221,024,000 seconds is equal to 648,695 years, 37 weeks, 4 days, 8 hours.
-
To count from 1 to 20,401,221,024,000 would take you about one million, six hundred twenty-one thousand, seven hundred thirty-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 20401221024000 cubic inches would be around 2277 feet tall.
Recreational maths with 20401221024000
- 20401221024000 backwards is 00042012210402
- 20401221024000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 20401221024000's digits is 18
- More coming soon!
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"Number 20401221024000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 20401221024000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/20401221024000/
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The information we have on file for 20401221024000 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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