21585990456000

Names of 21585990456000

• Cardinal: 21585990456000 can be written as Twenty-one trillion, five hundred eighty-five billion, nine hundred ninety million, four hundred fifty-six thousand.

Scientific notation

• Scientific notation: 2.1585990456 × 10¹³

Factors of 21585990456000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2753

Divisors of 21585990456000

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 61 64 72 75 80 90 96 100 108 120 122 125 135 144 150 160 180 183 192 200 216 225 240 244 250 270 288 300 305 320 360 366 375 400 432 450 480 488 500 540 549 576 600 610 675 720 732 750 800 864 900 915 941 960 976 1000 1080 1098 1125 1200 1220 1350 1440 1464 1500 1525 1600 1647 1728 1741 1800 1830 1882 1952 2000 2160 2196 2250 2400 2440 2700 2745 2823 2880 2928 3000 3050 3294 3375 3482 3600 3660 3764 3904 4000 4320 4392 4500 4575 4705 4800 4880 5223 5400 5490 5646 5856 6000 6100 6588 6750 6964 7200 7320 7528 7625 8000 8235 8469 8640 8705 8784 9000 9150 9410 9760 10446 10800 10980 11292 11712 12000 12200 13176 13500 13725 13928 14115 14400 14640 15056 15250 15669 16470 16938 17410 17568 18000 18300 18820 19520 20892 21600 21960 22584 22875 23525 24000 24400 25407 26115 26352 27000 27450 27856 28230 29280 30112 30500 31338 32940 33876 34820 35136 36000 36600 37640 41175 41784 42345 43200 43525 43920 45168 45750 47007 47050 48800 50814 52230 52704 54000 54900 55712 56460 57401 58560 60224 61000 62676 65880 67752 68625 69640 70575 72000 73200 75280 78345 82350 83568 84690 87050 87840 90336 91500 94014 94100 97600 101628 104460 105408 106201 108000 109800 111424 112920 114802 117625 122000 125352 127035 130575 131760 135504 137250 139280 141150 146400 150560 156690 164700 167136 169380 172203 174100 175680 180672 183000 188028 188200 203256 205875 208920 211725 212402 216000 217625 219600 225840 229604 235035 235250 244000 250704 254070 261150 263520 271008 274500 278560 282300 287005 292800 301120 313380 318603 329400 334272 338760 344406 348200 352875 366000 376056 376400 391725 406512 411750 417840 423450 424804 435250 439200 451680 459208 470070 470500 488000 501408 508140 516609 522300 527040 531005 542016 549000 557120 564600 574010 626760 635175 637206 652875 658800 677520 688812 696400 705750 732000 752112 752800 783450 813024 823500 835680 846900 849608 861015 870500 878400 903360 918416 940140 941000 955809 1002816 1016280 1033218 1044600 1058625 1062010 1098000 1129200 1148020 1175175 1253520 1270350 1274412 1305750 1317600 1355040 1377624 1392800 1411500 1435025 1464000 1504224 1505600 1549827 1566900 1593015 1626048 1638281 1647000 1671360 1693800 1699216 1722030 1741000 1836832 1880280 1882000 1911618 1958625 2032560 2066436 2089200 2117250 2124020 2196000 2258400 2296040 2350350 2507040 2540700 2548824 2583045 2611500 2635200 2655025 2710080 2755248 2785600 2823000 2867427 2870050 3008448 3099654 3133800 3175875 3186030 3276562 3294000 3387600 3398432 3444060 3482000 3673664 3760560 3764000 3823236 3917250 4065120 4132872 4178400 4234500 4248040 4305075 4392000 4516800 4592080 4700700 4779045 4914843 5014080 5081400 5097648 5166090 5223000 5310050 5510496 5646000 5734854 5740100 5875875 6199308 6267600 6351750 6372060 6553124 6588000 6775200 6796864 6888120 6964000 7175125 7521120 7528000 7646472 7749135 7834500 7965075 8130240 8191405 8265744 8356800 8469000 8496080 8610150 9184160 9401400 9558090 9829686 10162800 10195296 10332180 10446000 10620100 11020992 11292000 11469708 11480200 11751750 12398616 12535200 12703500 12744120 12915225 13106248 13176000 13275125 13550400 13776240 13928000 14337135 14350250 14744529 15042240 15292944 15498270 15669000 15930150 16382810 16531488 16938000 16992160 17220300 18368320 18802800 19116180 19659372 20325600 20390592 20664360 20892000 21240200 21525375 22584000 22939416 22960400 23503500 23895225 24574215 24797232 25070400 25407000 25488240 25830450 26212496 26550250 27552480 28674270 28700500 29489058 30585888 30996540 31338000 31860300 32765620 33062976 33876000 33984320 34440600 37605600 38232360 38745675 39318744 39825375 40651200 40957025 41328720 41784000 42480400 43050750 44233587 45878832 45920800 47007000 47790450 49148430 49594464 50814000 50976480 51660900 52424992 53100500 55104960 57348540 57401000 58978116 61171776 61993080 62676000 63720600 64576125 65531240 67752000 68881200 71685675 73722645 75211200 76464720 77491350 78637488 79650750 81914050 82657440 84960800 86101500 88467174 91757664 91841600 94014000 95580900 98296860 99188928 99935141 101628000 101952960 103321800 104849984 106201000 114697080 114802000 117956232 119476125 122871075 123986160 125352000 127441200 129152250 131062480 137762400 143371350 147445290 152929440 154982700 157274976 159301500 163828100 165314880 169921600 172203000 176934348 183515328 188028000 191161800 193728375 196593720 199870282 203256000 204785125 206643600 212402000 221167935 229394160 229604000 235912464 238952250 245742150 247972320 254882400 258304500 262124960 275524800 286742700 294890580 299805423 305858880 309965400 314549952 318603000 327656200 344406000 353868696 358428375 368613225 376056000 382323600 387456750 393187440 399740564 409570250 413287200 424804000 442335870 458788320 459208000 471824928 477904500 491484300 495944640 499675705 509764800 516609000 524249920 573485400 589781160 599610846 614355375 619930800 637206000 655312400 688812000 707737392 716856750 737226450 764647200 774913500 786374880 799481128 819140500 826574400 849608000 884671740 899416269 917576640 943649856 955809000 982968600 999351410 1033218000 1105839675 1146970800 1179562320 1199221692 1228710750 1239861600 1274412000 1310624800 1377624000 1415474784 1433713500 1474452900 1499027115 1529294400 1549827000 1572749760 1598962256 1638281000 1769343480 1798832538 1843066125 1911618000 1965937200 1998702820 2066436000 2211679350 2293941600 2359124640 2398443384 2457421500 2479723200 2498378525 2548824000 2621249600 2698248807 2830949568 2867427000 2948905800 2998054230 3099654000 3197924512 3276562000 3538686960 3597665076 3686132250 3823236000 3931874400 3997405640 4132872000 4423358700 4497081345 4587883200 4718249280 4796886768 4914843000 4996757050 5396497614 5529198375 5734854000 5897811600 5996108460 6199308000 6395849024 6553124000 7077373920 7195330152 7372264500 7495135575 7646472000 7863748800 7994811280 8846717400 8994162690 9593773536 9829686000 9993514100 10792995228 11058396750 11469708000 11795623200 11992216920 12398616000 12491892625 13106248000 13491244035 14154747840 14390660304 14744529000 14990271150 15989622560 17693434800 17988325380 19187547072 19659372000 19987028200 21585990456 22116793500 22485406725 22939416000 23591246400 23984433840 24983785250 26982488070 28781320608 29489058000 29980542300 31979245120 35386869600 35976650760 37475677875 39318744000 39974056400 43171980912 44233587000 44970813450 47968867680 49967570500 53964976140 57562641216 58978116000 59961084600 67456220175 70773739200 71953301520 74951355750 79948112800 86343961824 88467174000 89941626900 95937735360 99935141000 107929952280 112427033625 117956232000 119922169200 134912440350 143906603040 149902711500 159896225600 172687923648 176934348000 179883253800 199870282000 215859904560 224854067250 239844338400 269824880700 287813206080 299805423000 337281100875 353868696000 359766507600 399740564000 431719809120 449708134500 479688676800 539649761400 599610846000 674562201750 719533015200 799481128000 863439618240 899416269000 1079299522800 1199221692000 1349124403500 1439066030400 1798832538000 2158599045600 2398443384000 2698248807000 3597665076000 4317198091200 5396497614000 7195330152000 10792995228000 21585990456000
• Sum of all divisors σ(n): 80626731344640
• Sum of proper divisors (its aliquot sum) s(n): 59040740888640
• 21585990456000 is an abundant number, because the sum of its proper divisors (59040740888640) is greater than itself. Its abundance is 37454750432640

Bases of 21585990456000

• Binary: 100111010000111100001010010110001001011000000₂
• Hexadecimal: 0x13A1E14B12C0
• Base-36: 7NGGTDTC0

Squares and roots of 21585990456000

• 21585990456000 squared (21585990456000²) is 465954983966523087936000000
• 21585990456000 cubed (21585990456000³) is 10058099836827000399690144738816000000000
• The square root of 21585990456000 is 4646072.5840219069
• The cube root of 21585990456000 is 27843.5107232893

Scales and comparisons

• 21,585,990,456,000 seconds is equal to 686,367 years, 37 weeks, 5 days, 12 hours.
• To count from 1 to 21,585,990,456,000 would take you about one million, seven hundred fifteen thousand, nine hundred nineteen 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 21585990456000 cubic inches would be around 2320.3 feet tall.

Recreational maths with 21585990456000

• 21585990456000 backwards is 00065409958512
• 21585990456000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 21585990456000's digits is 54
• More coming soon!