21005830384000

Names of 21005830384000

• Cardinal: 21005830384000 can be written as Twenty-one trillion, five billion, eight hundred thirty million, three hundred eighty-four thousand.

Scientific notation

• Scientific notation: 2.1005830384 × 10¹³

Factors of 21005830384000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 4544

Divisors of 21005830384000

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 64 70 77 80 88 98 100 110 112 121 125 128 140 154 160 175 176 196 200 220 224 242 245 250 275 280 308 320 343 350 352 385 392 400 440 448 484 490 500 539 550 560 605 616 640 686 700 704 770 784 800 847 875 880 896 968 980 1000 1078 1100 1120 1210 1225 1232 1372 1375 1400 1408 1540 1568 1600 1694 1715 1750 1760 1925 1936 1960 2000 2156 2200 2240 2401 2420 2450 2464 2695 2744 2750 2800 3025 3080 3136 3200 3388 3430 3500 3520 3773 3850 3872 3920 4000 4235 4312 4400 4480 4519 4802 4840 4900 4928 5390 5488 5500 5600 5929 6050 6125 6160 6272 6776 6860 7000 7040 7546 7700 7744 7840 8000 8470 8575 8624 8800 9038 9604 9625 9680 9800 9856 10780 10976 11000 11200 11858 12005 12100 12250 12320 13475 13552 13720 14000 15092 15125 15400 15488 15680 16000 16940 17150 17248 17600 18076 18865 19208 19250 19360 19600 21175 21560 21952 22000 22400 22595 23716 24010 24200 24500 24640 26411 26950 27104 27440 28000 29645 30184 30250 30800 31360 31633 33880 34300 34496 35200 36152 37730 38416 38500 38720 39200 41503 42350 42875 43120 43904 44000 45190 47432 48020 48400 49000 49280 49709 52822 53900 54208 54880 56000 59290 60025 60368 60500 61600 63266 67375 67760 68600 68992 72304 75460 76832 77000 77440 78400 83006 84700 85750 86240 88000 90380 94325 94864 96040 96800 98000 99418 105644 105875 107800 108416 109760 112000 112975 118580 120050 120736 121000 123200 126532 132055 134750 135520 137200 144608 148225 150920 153664 154000 156800 158165 166012 169400 171500 172480 176000 180760 188650 189728 192080 193600 196000 198836 207515 211288 211750 215600 219520 221431 225950 237160 240100 241472 242000 246400 248545 253064 264110 269500 271040 274400 289216 290521 296450 300125 301840 307328 308000 316330 332024 338800 343000 344960 347963 361520 377300 379456 384160 387200 392000 397672 415030 422576 423500 431200 442862 451900 471625 474320 480200 482944 484000 497090 506128 528220 539000 542080 546799 548800 564875 578432 581042 592900 600250 603680 616000 632660 660275 664048 677600 686000 695926 723040 741125 754600 758912 768320 784000 790825 795344 830060 845152 847000 862400 885724 903800 943250 948640 960400 968000 994180 1012256 1037575 1056440 1078000 1093598 1097600 1107155 1129750 1162084 1185800 1200500 1207360 1232000 1242725 1265320 1320550 1328096 1355200 1372000 1391852 1446080 1452605 1482250 1509200 1536640 1550017 1581650 1590688 1660120 1690304 1694000 1724800 1739815 1771448 1807600 1886500 1897280 1920800 1936000 1988360 2024512 2075150 2112880 2156000 2187196 2214310 2259500 2324168 2371600 2401000 2414720 2435741 2485450 2530640 2641100 2656192 2710400 2733995 2744000 2783704 2892160 2905210 2964500 3018400 3100034 3163300 3181376 3301375 3320240 3380608 3388000 3479630 3542896 3615200 3773000 3794560 3827593 3841600 3954125 3976720 4049024 4150300 4225760 4312000 4374392 4428620 4519000 4648336 4743200 4802000 4871482 4970900 5061280 5187875 5282200 5312384 5467990 5488000 5535775 5567408 5810420 5929000 6036800 6200068 6213625 6326600 6362752 6602750 6640480 6776000 6959260 7085792 7230400 7263025 7546000 7655186 7683200 7750085 7908250 7953440 8300600 8451520 8624000 8699075 8748784 8857240 9038000 9296672 9486400 9604000 9742964 9941800 10122560 10375750 10564400 10850119 10935980 11071550 11134816 11620840 11858000 12073600 12178705 12400136 12427250 12653200 13205500 13280960 13552000 13669975 13918520 14171584 14460800 14526050 15092000 15310372 15500170 15816500 15906880 16601200 16903040 17050187 17398150 17497568 17714480 18076000 18593344 18972800 19137965 19208000 19485928 19883600 20245120 20751500 21128800 21700238 21871960 22143100 22269632 23241680 23716000 24357410 24800272 24854500 25306400 26411000 26561920 26793151 27339950 27678875 27837040 28343168 29052100 30184000 30620744 31000340 31633000 31813760 33202400 34100374 34796300 34995136 35428960 36152000 36315125 37186688 38275930 38416000 38750425 38971856 39767200 41503000 42257600 43400476 43495375 43743920 44286200 44539264 46483360 47432000 48714820 49600544 49709000 50612800 52822000 53586302 54250595 54679900 55357750 55674080 58104200 60368000 60893525 61241488 62000680 63266000 66404800 68200748 68349875 69592600 69990272 70857920 72304000 72630250 76551860 77500850 77943712 79534400 83006000 84515200 85250935 86800952 86990750 87487840 88572400 92966720 94864000 95689825 97429640 99201088 99418000 101225600 105644000 107172604 108501190 109359800 110715500 111348160 116208400 119351309 121787050 122482976 124001360 126532000 132809600 133965755 136401496 136699750 139185200 141715840 145260500 153103720 155001700 155887424 159068800 166012000 170501870 173601904 173981500 174975680 177144800 185933440 187552057 191379650 193752125 194859280 198402176 198836000 211288000 214345208 217002380 218719600 221431000 222696320 232416800 238702618 243574100 244965952 248002720 253064000 267931510 271252975 272802992 273399500 278370400 290521000 304467625 306207440 310003400 311774848 332024000 341003740 347203808 347963000 349951360 354289600 375104114 382759300 387504250 389718560 397672000 422576000 426254675 428690416 434004760 437439200 442862000 464833600 477405236 478449125 487148200 489931904 496005440 506128000 535863020 542505950 545605984 546799000 556740800 581042000 596756545 608935250 612414880 620006800 664048000 669828775 682007480 694407616 695926000 708579200 750208228 765518600 775008500 779437120 795344000 852509350 857380832 868009520 874878400 885724000 929667200 937760285 954810472 956898250 974296400 992010880 1071726040 1085011900 1091211968 1093598000 1113481600 1162084000 1193513090 1217870500 1224829760 1240013600 1312864399 1339657550 1356264875 1364014960 1388815232 1391852000 1500416456 1531037200 1550017000 1558874240 1705018700 1714761664 1736019040 1749756800 1771448000 1875520570 1909620944 1913796500 1948592800 2131273375 2143452080 2170023800 2182423936 2187196000 2324168000 2387026180 2435741000 2449659520 2480027200 2625728798 2679315100 2712529750 2728029920 2783704000 2983782725 3000832912 3062074400 3100034000 3349143875 3410037400 3429523328 3472038080 3542896000 3751041140 3819241888 3827593000 3897185600 4262546750 4286904160 4340047600 4374392000 4648336000 4688801425 4774052360 4871482000 4960054400 5251457596 5358630200 5425059500 5456059840 5567408000 5967565450 6001665824 6124148800 6200068000 6564321995 6698287750 6820074800 6944076160 7502082280 7638483776 7655186000 7794371200 8525093500 8573808320 8680095200 8748784000 9377602850 9548104720 9742964000 10502915192 10717260400 10850119000 10912119680 11935130900 12003331648 12248297600 12400136000 13128643990 13396575500 13640149600 14918913625 15004164560 15276967552 15310372000 17050187000 17147616640 17360190400 18755205700 19096209440 19485928000 21005830384 21434520800 21700238000 23444007125 23870261800 24006663296 24800272000 26257287980 26793151000 27280299200 29837827250 30008329120 30620744000 32821609975 34100374000 34720380800 37510411400 38192418880 38971856000 42011660768 42869041600 43400476000 46888014250 47740523600 52514575960 53586302000 54560598400 59675654500 60016658240 61241488000 65643219950 68200748000 75020822800 76384837760 84023321536 85738083200 86800952000 93776028500 95481047200 105029151920 107172604000 119351309000 120033316480 131286439900 136401496000 150041645600 164108049875 168046643072 173601904000 187552057000 190962094400 210058303840 214345208000 238702618000 262572879800 272802992000 300083291200 328216099750 375104114000 381924188800 420116607680 428690416000 477405236000 525145759600 600166582400 656432199500 750208228000 840233215360 954810472000 1050291519200 1312864399000 1500416456000 1909620944000 2100583038400 2625728798000 3000832912000 4201166076800 5251457596000 10502915192000 21005830384000
• Sum of all divisors σ(n): 66983519584800
• Sum of proper divisors (its aliquot sum) s(n): 45977689200800
• 21005830384000 is an abundant number, because the sum of its proper divisors (45977689200800) is greater than itself. Its abundance is 24971858816800

Bases of 21005830384000

• Binary: 100110001101011001101000011101110100110000000₂
• Hexadecimal: 0x131ACD0EE980
• Base-36: 7G1Y120SG

Squares and roots of 21005830384000

• 21005830384000 squared (21005830384000²) is 441244910121377587456000000
• 21005830384000 cubed (21005830384000³) is 9268715739812982454519862063104000000000
• The square root of 21005830384000 is 4583211.7978552987
• The cube root of 21005830384000 is 27591.7947953909

Scales and comparisons

• 21,005,830,384,000 seconds is equal to 667,920 years, 22 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
• To count from 1 to 21,005,830,384,000 would take you about one million, six hundred sixty-nine thousand, eight hundred one 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 21005830384000 cubic inches would be around 2299.3 feet tall.

Recreational maths with 21005830384000

• 21005830384000 backwards is 00048303850012
• The number of decimal digits it has is: 14
• The sum of 21005830384000's digits is 34
• More coming soon!