21387468748800
21,387,468,748,800 is an even composite number composed of seven prime numbers multiplied together.
21387468748800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 21387468748800:
211 × 3 × 52 × 7 × 11 × 23 × 78623
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 23 × 78623)See below for interesting mathematical facts about the number 21387468748800 from the Numbermatics database.
Names of 21387468748800
- Cardinal: 21387468748800 can be written as Twenty-one trillion, three hundred eighty-seven billion, four hundred sixty-eight million, seven hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.13874687488 × 1013
Factors of 21387468748800
Divisors of 21387468748800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 23 24 25 28 30 32 33 35 40 42 44 46 48 50 55 56 60 64 66 69 70 75 77 80 84 88 92 96 100 105 110 112 115 120 128 132 138 140 150 154 160 161 165 168 175 176 184 192 200 210 220 224 230 231 240 253 256 264 275 276 280 300 308 320 322 330 336 345 350 352 368 384 385 400 420 440 448 460 462 480 483 506 512 525 528 550 552 560 575 600 616 640 644 660 672 690 700 704 736 759 768 770 800 805 825 840 880 896 920 924 960 966 1012 1024 1050 1056 1100 1104 1120 1150 1155 1200 1232 1265 1280 1288 1320 1344 1380 1400 1408 1472 1518 1536 1540 1600 1610 1650 1680 1725 1760 1771 1792 1840 1848 1920 1925 1932 2024 2048 2100 2112 2200 2208 2240 2300 2310 2400 2415 2464 2530 2560 2576 2640 2688 2760 2800 2816 2944 3036 3072 3080 3200 3220 3300 3360 3450 3520 3542 3584 3680 3696 3795 3840 3850 3864 4025 4048 4200 4224 4400 4416 4480 4600 4620 4800 4830 4928 5060 5120 5152 5280 5313 5376 5520 5600 5632 5775 5888 6072 6144 6160 6325 6400 6440 6600 6720 6900 7040 7084 7168 7360 7392 7590 7680 7700 7728 8050 8096 8400 8448 8800 8832 8855 8960 9200 9240 9600 9660 9856 10120 10240 10304 10560 10626 10752 11040 11200 11264 11550 11776 12075 12144 12320 12650 12800 12880 13200 13440 13800 14080 14168 14336 14720 14784 15180 15360 15400 15456 16100 16192 16800 16896 17600 17664 17710 17920 18400 18480 18975 19200 19320 19712 20240 20608 21120 21252 21504 22080 22400 22528 23100 23552 24150 24288 24640 25300 25600 25760 26400 26565 26880 27600 28160 28336 29440 29568 30360 30720 30800 30912 32200 32384 33600 33792 35200 35328 35420 35840 36800 36960 37950 38400 38640 39424 40480 41216 42240 42504 43008 44160 44275 44800 46200 47104 48300 48576 49280 50600 51200 51520 52800 53130 53760 55200 56320 56672 58880 59136 60720 61600 61824 64400 64768 67200 67584 70400 70656 70840 71680 73600 73920 75900 76800 77280 78623 78848 80960 82432 84480 85008 88320 88550 89600 92400 96600 97152 98560 101200 103040 105600 106260 107520 110400 112640 113344 117760 118272 121440 123200 123648 128800 129536 132825 134400 140800 141312 141680 147200 147840 151800 153600 154560 157246 157696 161920 164864 168960 170016 176640 177100 179200 184800 193200 194304 197120 202400 206080 211200 212520 215040 220800 226688 235520 235869 236544 242880 246400 247296 257600 259072 265650 268800 281600 283360 294400 295680 303600 309120 314492 323840 329728 337920 340032 353280 354200 358400 369600 386400 388608 393115 394240 404800 412160 422400 425040 441600 453376 471738 473088 485760 492800 494592 515200 518144 531300 537600 550361 563200 566720 588800 591360 607200 618240 628984 647680 680064 706560 708400 739200 772800 777216 786230 788480 809600 824320 844800 850080 864853 883200 906752 943476 971520 985600 989184 1030400 1062600 1075200 1100722 1133440 1177600 1179345 1182720 1214400 1236480 1257968 1295360 1360128 1416800 1478400 1545600 1554432 1572460 1619200 1648640 1651083 1689600 1700160 1729706 1766400 1808329 1813504 1886952 1943040 1965575 1971200 2060800 2125200 2201444 2266880 2358690 2365440 2428800 2472960 2515936 2590720 2594559 2720256 2751805 2833600 2956800 3091200 3144920 3238400 3302166 3400320 3459412 3532800 3616658 3627008 3773904 3886080 3931150 3942400 4121600 4250400 4324265 4402888 4533760 4717380 4857600 4945920 5031872 5189118 5424987 5440512 5503610 5667200 5896725 5913600 6053971 6182400 6289840 6476800 6604332 6800640 6918824 7233316 7547808 7772160 7862300 8243200 8255415 8500800 8648530 8805776 9041645 9067520 9434760 9715200 10063744 10378236 10849974 10881024 11007220 11334400 11793450 11827200 12107942 12364800 12579680 12658303 12953600 12972795 13208664 13601280 13759025 13837648 14466632 15095616 15724600 16510830 17001600 17297060 17611552 18083290 18135040 18161913 18869520 19430400 19891619 20127488 20756472 21621325 21699948 22014440 22668800 23586900 24215884 24729600 25159360 25316606 25945590 26417328 27124935 27202560 27518050 27675296 28933264 30191232 30269855 31449200 33021660 34003200 34594120 35223104 36166580 36323826 37739040 37974909 38860800 39783238 40254976 41277075 41512944 43242650 43399896 44028880 45208225 45337600 47173800 48431768 50318720 50633212 51891180 52834656 54249870 54405120 55036100 55350592 57866528 59674857 60382464 60539710 62898400 63291515 64863975 66043320 68006400 69188240 70446208 72333160 72647652 75478080 75949818 79566476 80509952 82554150 83025888 86485300 86799792 88057760 90416450 90675200 90809565 94347600 96863536 99458095 100637440 101266424 103782360 105669312 108499740 110072200 110701184 115733056 119349714 120764928 121079420 125796800 126583030 129727950 132086640 135624675 136012800 138376480 139241333 140892416 144666320 145295304 150956160 151349275 151899636 159132952 161019904 165108300 166051776 172970600 173599584 176115520 180832900 181619130 188695200 189874545 193727072 198916190 201274880 202532848 207564720 211338624 216999480 220144400 221402368 231466112 238699428 241529856 242158840 251593600 253166060 259455900 264173280 271249350 272025600 276752960 278482666 281784832 289332640 290590608 298374285 301912320 302698550 303799272 316457575 318265904 330216600 332103552 345941200 347199168 352231040 361665800 363238260 377390400 379749090 387454144 397832380 402549760 405065696 415129440 417723999 422677248 433998960 440288800 442804736 454047825 462932224 477398856 483059712 484317680 497290475 503187200 506332120 518911800 528346560 542498700 553505920 556965332 563569664 578665280 581181216 596748570 603824640 605397100 607598544 632915150 636531808 660433200 664207104 691882400 694398336 696206665 704462080 723331600 726476520 754780800 759498180 774908288 795664760 805099520 810131392 830258880 835447998 845354496 867997920 880577600 885609472 908095650 925864448 949372725 954797712 968635360 994580950 1006374400 1012664240 1037823600 1056693120 1084997400 1107011840 1113930664 1127139328 1157330560 1162362432 1193497140 1207649280 1210794200 1215197088 1265830300 1273063616 1320866400 1328414208 1383764800 1388796672 1392413330 1408924160 1446663200 1452953040 1491871425 1509561600 1518996360 1549816576 1591329520 1620262784 1660517760 1670895996 1690708992 1735995840 1761155200 1771218944 1816191300 1851728896 1898745450 1909595424 1937270720 1989161900 2012748800 2025328480 2075647200 2088619995 2113386240 2169994800 2214023680 2227861328 2314661120 2324724864 2386994280 2415298560 2421588400 2430394176 2531660600 2546127232 2641732800 2656828416 2767529600 2777593344 2784826660 2817848320 2893326400 2905906080 2983742850 3019123200 3037992720 3099633152 3182659040 3240525568 3321035520 3341791992 3381417984 3471991680 3481033325 3522310400 3632382600 3703457792 3797490900 3819190848 3874541440 3978323800 4025497600 4050656960 4151294400 4177239990 4226772480 4339989600 4428047360 4455722656 4629322240 4649449728 4773988560 4843176800 4860788352 5063321200 5092254464 5283465600 5313656832 5535059200 5555186688 5569653320 5635696640 5786652800 5811812160 5967485700 6038246400 6075985440 6199266304 6365318080 6481051136 6642071040 6683583984 6943983360 6962066650 7044620800 7264765200 7594981800 7638381696 7749082880 7956647600 8101313920 8302588800 8354479980 8453544960 8679979200 8856094720 8911445312 9258644480 9298899456 9547977120 9686353600 9721576704 10126642400 10184508928 10443099975 10566931200 11070118400 11110373376 11139306640 11573305600 11623624320 11934971400 12076492800 12151970880 12398532608 12730636160 12962102272 13284142080 13367167968 13887966720 13924133300 14089241600 14529530400 15189963600 15276763392 15498165760 15913295200 16202627840 16605177600 16708959960 16907089920 17359958400 17822890624 18517288960 18597798912 19095954240 19372707200 19443153408 20253284800 20369017856 20886199950 21133862400 22140236800 22278613280 23146611200 23247248640 23869942800 24303941760 25461272320 25924204544 26568284160 26734335936 27775933440 27848266600 28178483200 29059060800 30379927200 30553526784 30996331520 31826590400 32405255680 33210355200 33417919920 34719916800 35645781248 37195597824 38191908480 38745414400 38886306816 40506569600 40738035712 41772399900 42267724800 44280473600 44557226560 46293222400 46494497280 47739885600 48607883520 50922544640 53468671872 55551866880 55696533200 58118121600 60759854400 61107053568 61992663040 63653180800 64810511360 66420710400 66835839840 69439833600 71291562496 76383816960 77490828800 77772613632 81013139200 83544799800 84535449600 89114453120 92586444800 92988994560 95479771200 97215767040 101845089280 106937343744 111393066400 116236243200 121519708800 122214107136 127306361600 129621022720 132841420800 133671679680 138879667200 142583124992 152767633920 154981657600 162026278400 167089599600 178228906240 185977989120 190959542400 194431534080 203690178560 213874687488 222786132800 232472486400 243039417600 254612723200 267343359360 277759334400 285166249984 305535267840 309963315200 324052556800 334179199200 356457812480 381919084800 388863068160 427749374976 445572265600 464944972800 486078835200 509225446400 534686718720 611070535680 648105113600 668358398400 712915624960 763838169600 855498749952 891144531200 929889945600 972157670400 1018450892800 1069373437440 1336716796800 1425831249920 1527676339200 1782289062400 1944315340800 2138746874880 2673433593600 3055352678400 3564578124800 4277493749760 5346867187200 7129156249600 10693734374400 21387468748800
- Sum of all divisors σ(n): 91984192634880
- Sum of proper divisors (its aliquot sum) s(n): 70596723886080
- 21387468748800 is an abundant number, because the sum of its proper divisors (70596723886080) is greater than itself. Its abundance is 49209255137280
Bases of 21387468748800
- Binary: 1001101110011101010000111101000111000000000002
- Hexadecimal: 0x1373A87A3800
- Base-36: 7KX9MONPC
Squares and roots of 21387468748800
- 21387468748800 squared (213874687488002) is 457423819480896637501440000
- 21387468748800 cubed (213874687488003) is 9783137644104409473165050114998272000000
-
The
square root of 21387468748800 is 4624658.7710662503 -
The
cube root of 21387468748800 is 27757.8907836667
Scales and comparisons
How big is 21387468748800?- 21,387,468,748,800 seconds is equal to 680,055 years, 18 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 21,387,468,748,800 would take you about one million, seven hundred thousand, one hundred thirty-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 21387468748800 cubic inches would be around 2313.2 feet tall.
Recreational maths with 21387468748800
- 21387468748800 backwards is 00884786478312
- 21387468748800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 21387468748800's digits is 66
- More coming soon!
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The information we have on file for 21387468748800 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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