21409720464000
21,409,720,464,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 21409720464000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2048 divisors.
21409720464000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 21409720464000:
27 × 3 × 53 × 11 × 31 × 41 × 61 × 523
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 31 × 41 × 61 × 523)See below for interesting mathematical facts about the number 21409720464000 from the Numbermatics database.
Names of 21409720464000
- Cardinal: 21409720464000 can be written as Twenty-one trillion, four hundred nine billion, seven hundred twenty million, four hundred sixty-four thousand.
Scientific notation
- Scientific notation: 2.1409720464 × 1013
Factors of 21409720464000
Divisors of 21409720464000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 31 32 33 40 41 44 48 50 55 60 61 62 64 66 75 80 82 88 93 96 100 110 120 122 123 124 125 128 132 150 155 160 164 165 176 183 186 192 200 205 220 240 244 246 248 250 264 275 300 305 310 320 328 330 341 352 366 372 375 384 400 410 440 451 465 480 488 492 496 500 523 528 550 600 610 615 620 640 656 660 671 682 704 732 744 750 775 800 820 825 880 902 915 930 960 976 984 992 1000 1023 1025 1046 1056 1100 1200 1220 1230 1240 1271 1312 1320 1342 1353 1364 1375 1408 1464 1488 1500 1525 1550 1569 1600 1640 1650 1705 1760 1804 1830 1860 1891 1920 1952 1968 1984 2000 2013 2046 2050 2092 2112 2200 2255 2325 2400 2440 2460 2480 2501 2542 2615 2624 2640 2684 2706 2728 2750 2928 2976 3000 3050 3075 3100 3138 3200 3280 3300 3355 3410 3520 3608 3660 3720 3782 3813 3875 3904 3936 3968 4000 4026 4092 4100 4125 4184 4224 4400 4510 4575 4650 4800 4880 4920 4960 5002 5084 5115 5125 5230 5248 5280 5368 5412 5456 5500 5673 5753 5856 5952 6000 6100 6150 6200 6276 6355 6560 6600 6710 6765 6820 7040 7216 7320 7440 7503 7564 7625 7626 7750 7808 7845 7872 8000 8052 8184 8200 8250 8368 8525 8800 9020 9150 9300 9455 9600 9760 9840 9920 10004 10065 10168 10230 10250 10460 10560 10736 10824 10912 11000 11275 11346 11506 11625 11712 11904 12000 12200 12300 12400 12505 12552 12710 13075 13120 13200 13420 13530 13640 13981 14432 14640 14880 15006 15128 15250 15252 15375 15500 15690 15744 16000 16104 16213 16368 16400 16500 16736 16775 17050 17259 17600 18040 18300 18600 18910 19065 19520 19680 19840 20008 20130 20336 20460 20500 20801 20920 21120 21443 21472 21648 21824 22000 22550 22692 22875 23012 23250 23424 24000 24400 24600 24800 25010 25104 25420 25575 26150 26240 26400 26840 27060 27280 27511 27962 28365 28765 28864 29280 29760 30012 30256 30500 30504 30750 31000 31380 31775 31903 32208 32426 32736 32800 33000 33472 33550 33825 34100 34518 35200 36080 36600 37200 37515 37820 38130 39040 39225 39360 40016 40260 40672 40920 41000 41602 41840 41943 42625 42886 42944 43296 43648 44000 45100 45384 45750 46024 46500 47275 48000 48639 48800 49200 49600 50020 50208 50325 50840 51150 52300 52800 53680 54120 54560 55022 55924 56375 56730 57530 57728 58560 59520 60024 60512 61000 61008 61500 62000 62403 62525 62760 63550 63806 64329 64416 64852 65375 65472 65600 66000 66944 67100 67650 68200 69036 69905 72160 73200 74400 75030 75640 76260 77531 78450 78720 80032 80520 81065 81344 81840 82000 82533 83204 83680 83875 83886 85250 85772 85888 86295 86592 88000 90200 90768 91500 92048 93000 94550 95325 95709 97278 97600 98400 99200 100040 100416 100650 101680 102300 104005 104600 105600 107215 107360 108240 109120 110044 111848 112750 113460 115060 117120 120048 121024 122000 122016 123000 124000 124806 125050 125520 127100 127612 127875 128658 128832 129704 130750 130944 131200 132000 134200 135300 136400 137555 138072 139810 141825 143825 144320 146400 148800 150060 151280 152520 155062 156900 158875 159515 160064 161040 162130 162688 163680 164000 165066 166408 167360 167750 167772 169125 170500 171544 172590 173184 176000 178343 180400 181536 183000 184096 186000 187575 189100 190650 191418 194556 195200 196125 196800 200080 200832 201300 203360 204600 208010 209200 209715 214430 214720 216480 218240 220088 223696 225500 226920 230120 232593 235873 236375 240096 242048 243195 244000 244032 246000 248000 249612 250100 251040 251625 254200 255224 255750 257316 257664 259408 261500 264000 268400 270600 272800 275110 276144 279620 283650 287650 288640 292800 297600 300120 302560 305040 310124 312015 312625 313800 317750 319030 320128 321645 322080 324260 327360 328000 330132 332816 334720 335500 335544 338250 341000 343088 345180 349525 350933 356686 360800 363072 366000 368192 372000 375150 378200 381300 382836 387655 389112 392250 393600 400160 402600 405325 406720 409200 412665 416020 418400 419430 428860 429440 431475 432960 440176 447392 451000 453840 460240 465186 471746 472750 476625 478545 480192 486390 488000 488064 492000 496000 499224 500200 502080 503250 508400 510448 511500 514632 518816 520025 523000 528000 535029 536075 536800 541200 545600 550220 552288 559240 567300 575300 585600 600240 605120 610080 620248 624030 625250 627600 635500 638060 643290 644160 648520 654720 656000 660264 664733 665632 671000 671088 676500 682000 686176 687775 690360 699050 701866 707619 709125 713372 719125 721600 726144 732000 736384 744000 750300 756400 762600 765672 775310 778224 784500 797575 800320 805200 810650 813440 818400 825330 832040 836800 838860 852841 857720 862950 865920 880352 891715 894784 902000 907680 920480 930372 937875 943492 945500 953250 957090 960384 972780 976000 984000 988993 998448 1000400 1004160 1006500 1016800 1020896 1023000 1029264 1037632 1040050 1046000 1048575 1052799 1070058 1072150 1073600 1082400 1091200 1100440 1104576 1118480 1134600 1150600 1162965 1179365 1200480 1210240 1215975 1220160 1240496 1248060 1250500 1255200 1271000 1276120 1286580 1288320 1297040 1308023 1320528 1329466 1331264 1342000 1342176 1353000 1364000 1372352 1375550 1380720 1398100 1403732 1415238 1418250 1426744 1438250 1443200 1464000 1488000 1500600 1512800 1525200 1531344 1550620 1556448 1560075 1569000 1595150 1600640 1608225 1610400 1621300 1636800 1650660 1664080 1673600 1677720 1705682 1715440 1725900 1747625 1754665 1760704 1783430 1789568 1804000 1815360 1840960 1860744 1875750 1886984 1891000 1906500 1914180 1938275 1945560 1968000 1977986 1994199 1996896 2000800 2013000 2026625 2033600 2041792 2046000 2058528 2063325 2075264 2080100 2092000 2097150 2105598 2140116 2144300 2147200 2157375 2164800 2200880 2209152 2236960 2269200 2301200 2325930 2358730 2392725 2400960 2431950 2440320 2480992 2496120 2501000 2510400 2542000 2552240 2558523 2573160 2594080 2600125 2616046 2641056 2658932 2662528 2675145 2680375 2684000 2684352 2706000 2728000 2744704 2751100 2761440 2796200 2807464 2830476 2836500 2853488 2876500 2928000 2966979 3001200 3025600 3050400 3062688 3101240 3112896 3120150 3138000 3190300 3216450 3220800 3242600 3273600 3301320 3323665 3328160 3355440 3411364 3430880 3438875 3451800 3495250 3509330 3521408 3538095 3566860 3608000 3630720 3681920 3721488 3751500 3773968 3782000 3813000 3828360 3876550 3891120 3924069 3955972 3987875 3988398 3993792 4001600 4026000 4053250 4067200 4083584 4092000 4117056 4126650 4160200 4184000 4194300 4211196 4264205 4280232 4288600 4314750 4329600 4401760 4458575 4473920 4538400 4602400 4651860 4717460 4785450 4801920 4863900 4944965 4961984 4992240 5002000 5020800 5084000 5104480 5117046 5146320 5188160 5200250 5232092 5242875 5263995 5282112 5317864 5350290 5360750 5368000 5368704 5412000 5456000 5502200 5522880 5592400 5614928 5660952 5673000 5706976 5753000 5814825 5896825 5933958 6002400 6051200 6079875 6100800 6125376 6202480 6225792 6240300 6276000 6380600 6432900 6441600 6485200 6540115 6602640 6647330 6656320 6710880 6822728 6861760 6877750 6903600 6990500 7018660 7076190 7133720 7216000 7312063 7442976 7503000 7547936 7564000 7626000 7656720 7753100 7782240 7800375 7848138 7911944 7975750 7976796 7987584 8003200 8041125 8052000 8106500 8184000 8234112 8253300 8320400 8368000 8388600 8422392 8528410 8560464 8577200 8629500 8773325 8803520 8917150 8947840 9076800 9204800 9303720 9434920 9570900 9691375 9727800 9889930 9923968 9970995 9984480 10004000 10168000 10208960 10234092 10292640 10316625 10376320 10400500 10464184 10485750 10527990 10564224 10635728 10700580 10721500 10736000 10824000 10878923 11004400 11045760 11184800 11229856 11321904 11346000 11413952 11506000 11629650 11793650 11867916 11963625 12004800 12159750 12201600 12250752 12404960 12480600 12552000 12761200 12792615 12865800 12970400 13080230 13205280 13294660 13312640 13375725 13421760 13645456 13723520 13755500 13807200 13981000 14037320 14152380 14267440 14388253 14624126 14834895 14885952 15006000 15095872 15128000 15252000 15313440 15506200 15564480 15600750 15696276 15823888 15951500 15953592 16082250 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35093300 35380950 35668600 36560315 37214880 37739680 38283600 38765500 38911200 39240690 39559720 39883980 39937920 40016000 40548713 40936368 41170560 41266500 41602000 41856736 41943000 42111960 42542912 42642050 42802320 42886000 43164759 43515692 43866625 43872378 44017600 44585750 44739200 44919424 45287616 45384000 46024000 46518600 47174600 47471664 47854500 48639000 49449650 49619840 49854975 49922400 51044800 51170460 51463200 51881600 52320920 52639950 52821120 53178640 53502900 54394615 54581824 55022000 55228800 55924000 56149280 56609520 57069760 57553012 58148250 58496504 58968250 59339580 60024000 61008000 61253760 62024800 62403000 62785104 63295552 63806000 63814368 63963075 64329000 64852000 65273538 65401150 66026400 66473300 66563200 66878625 67108800 67379136 68227280 68483712 68617600 69036000 70186600 70761900 71337200 71941265 73120630 74174475 74429760 75479360 76567200 77531000 77822400 78481380 79119440 79767960 81097426 81872736 82533000 83091625 83204000 83713472 83886000 84223920 85085824 85284100 85604640 85772000 86329518 87031384 87733250 87744756 88035200 88452375 89171500 90575232 90768000 92048000 93037200 94349200 94943328 95709000 97278000 98101725 98899300 99709950 99844800 102089600 102340920 102926400 104641840 105279900 106357280 106605125 107005800 108789230 109163648 109680945 110044000 111848000 112298560 113219040 114139520 115106024 116296500 116993008 117936500 118679160 120048000 121646139 123624125 124049600 124806000 125570208 126591104 127612000 127628736 127926150 128658000 129704000 130547076 130802300 131599875 132052800 132946600 133757250 134217600 134758272 136454560 138072000 140373200 141523800 142674400 143882530 146241260 148348950 148859520 150958720 153134400 155062000 155644800 156962760 158238880 159535920 162194852 163183845 163502875 163745472 165066000 166183250 166408000 167426944 167772000 168447840 170568200 171209280 171544000 172659036 174062768 175466500 175489512 176904750 178343000 182801575 186074400 188698400 189886656 191418000 194556000 196203450 197798600 199419900 199689600 202743565 204681840 205852800 209283680 210559800 212714560 213210250 214011600 215823795 217578460 219361890 220088000 223696000 224597120 226438080 230212048 232593000 233986016 235873000 237358320 243292278 247248250 248099200 249274875 249612000 251140416 255224000 255257472 255852300 257316000 259408000 261094152 261604600 263199750 264105600 265893200 267514500 271973075 272909120 276144000 280746400 283047600 285348800 287765060 292482520 296697900 306268800 310124000 313925520 316477760 319071840 319815375 324389704 326367690 327005750 327490944 330132000 332366500 332816000 335544000 336895680 341136400 342418560 343088000 345318072 348125536 350933000 350979024 353809500 356686000 359706325 365603150 370872375 372148800 377396800 379773312 382836000 389112000 392406900 395597200 398839800 405487130 409363680 418567360 421119600 425429120 426420500 428023200 431647590 435156920 438723780 440176000 446035843 452876160 460424096 465186000 467972032 471746000 474716640 486584556 490508625 494496500 498549750 499224000 502280832 510448000 511704600 514632000 522188304 523209200 526399500 531786400 535029000 543946150 545818240 548404725 561492800 566095200 570697600 575530120 584965040 593395800 608230695 620248000 627851040 632955520 638143680 639630750 648779408 652735380 654011500 660264000 664733000 671088000 673791360 682272800 690636144 696251072 701866000 701958048 707619000 713372000 719412650 731206300 741744750 744297600 754793600 765672000 778224000 784813800 791194400 797679600 810974260 815919225 818727360 837134720 842239200 852841000 856046400 863295180 870313840 877447560 892071686 914007875 920848192 930372000 935944064 943492000 949433280 973169112 981017250 988993000 997099500 998448000 1013717825 1023409200 1029264000 1044376608 1046418400 1052799000 1063572800 1070058000 1079118975 1087892300 1096809450 1122985600 1132190400 1151060240 1169930080 1186791600 1216461390 1240496000 1255702080 1276287360 1279261500 1297558816 1305470760 1308023000 1320528000 1329466000 1338107529 1359865375 1364545600 1381272288 1392502144 1403732000 1403916096 1415238000 1426744000 1438825300 1462412600 1483489500 1531344000 1569627600 1582388800 1595359200 1621948520 1631838450 1637454720 1684478400 1705682000 1712092800 1726590360 1740627680 1754895120 1784143372 1798531625 1828015750 1841696384 1860744000 1886984000 1898866560 1946338224 1962034500 1977986000 1994199000 2027435650 2046818400 2088753216 2092836800 2105598000 2127145600 2140116000 2158237950 2175784600 2193618900 2230179215 2264380800 2302120480 2339860160 2373583200 2432922780 2511404160 2558523000 2595117632 2610941520 2616046000 2658932000 2676215058 2719730750 2729091200 2742023625 2762544576 2807464000 2807832192 2830476000 2853488000 2877650600 2924825200 2966979000 3041153475 3139255200 3164777600 3190718400 3243897040 3263676900 3368956800 3411364000 3453180720 3481255360 3509790240 3568286744 3597063250 3656031500 3721488000 3773968000 3892676448 3924069000 3955972000 3988398000 4054871300 4079596125 4093636800 4177506432 4185673600 4211196000 4280232000 4316475900 4351569200 4387237800 4460358430 4604240960 4679720320 4747166400 4865845560 5068589125 5117046000 5190235264 5221883040 5232092000 5317864000 5352430116 5395594875 5439461500 5484047250 5525089152 5614928000 5660952000 5755301200 5849650400 5933958000 6082306950 6278510400 6381436800 6487794080 6527353800 6690537645 6822728000 6906361440 6962510720 7019580480 7136573488 7194126500 7312063000 7785352896 7848138000 7911944000 7976796000 8109742600 8159192250 8187273600 8422392000 8560464000 8632951800 8703138400 8774475600 8920716860 9208481920 9494332800 9731691120 10137178250 10234092000 10443766080 10464184000 10635728000 10704860232 10791189750 10878923000 10968094500 11150896075 11321904000 11510602400 11699300800 11867916000 12164613900 12557020800 12975588160 13054707600 13381075290 13645456000 13812722880 14039160960 14273146976 14388253000 14624126000 15205767375 15570705792 15696276000 15823888000 15953592000 16219485200 16318384500 16844784000 17265903600 17406276800 17548951200 17841433720 19463382240 20274356500 20468184000 20887532160 20928368000 21409720464 21582379500 21757846000 21936189000 22301792150 23021204800 23398601600 23735832000 24329227800 25951176320 26109415200 26762150580 27625445760 28546293952 28776506000 29248252000 30411534750 31392552000 31907184000 32438970400 32636769000 33452688225 34531807200 34812553600 35097902400 35682867440 38926764480 40548713000 40936368000 42819440928 43164759000 43515692000 43872378000 44603584300 46042409600 47471664000 48658455600 52218830400 53524301160 55754480375 57092587904 57553012000 58496504000 60823069500 62785104000 64877940800 65273538000 66905376450 69063614400 70195804800 71365734880 77853528960 81097426000 85638881856 86329518000 87031384000 87744756000 89207168600 97316911200 104437660800 107048602320 111508960750 115106024000 116993008000 121646139000 129755881600 130547076000 133810752900 138127228800 142731469760 162194852000 167263441125 171277763712 172659036000 174062768000 175489512000 178414337200 194633822400 214097204640 223017921500 230212048000 243292278000 261094152000 267621505800 285462939520 324389704000 334526882250 345318072000 350979024000 356828674400 389267644800 428194409280 446035843000 486584556000 522188304000 535243011600 648779408000 669053764500 690636144000 713657348800 856388818560 892071686000 973169112000 1070486023200 1338107529000 1427314697600 1784143372000 1946338224000 2140972046400 2676215058000 3568286744000 4281944092800 5352430116000 7136573488000 10704860232000 21409720464000
- Sum of all divisors σ(n): 83373543751680
- Sum of proper divisors (its aliquot sum) s(n): 61963823287680
- 21409720464000 is an abundant number, because the sum of its proper divisors (61963823287680) is greater than itself. Its abundance is 40554102823680
Bases of 21409720464000
- Binary: 1001101111000110101101100100001110010100000002
- Hexadecimal: 0x1378D6C87280
- Base-36: 7L7HMS51C
Squares and roots of 21409720464000
- 21409720464000 squared (214097204640002) is 458376130346620375296000000
- 21409720464000 cubed (214097204640003) is 9813704818091169662214131257344000000000
-
The
square root of 21409720464000 is 4627063.9139739577 -
The
cube root of 21409720464000 is 27767.5139669843
Scales and comparisons
How big is 21409720464000?- 21,409,720,464,000 seconds is equal to 680,762 years, 46 weeks, 13 hours, 20 minutes.
-
To count from 1 to 21,409,720,464,000 would take you about one million, seven hundred one thousand, nine hundred seven 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 21409720464000 cubic inches would be around 2314 feet tall.
Recreational maths with 21409720464000
- 21409720464000 backwards is 00046402790412
- The number of decimal digits it has is: 14
- The sum of 21409720464000's digits is 39
- More coming soon!
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Cite this page
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"Number 21409720464000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 21409720464000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/21409720464000/
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The information we have on file for 21409720464000 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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