212771328000

Names of 212771328000

• Cardinal: 212771328000 can be written as Two hundred twelve billion, seven hundred seventy-one million, three hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 2.12771328 × 10¹¹

Factors of 212771328000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 285

Divisors of 212771328000

• Number of divisors d(n): 1248
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 49 50 55 56 60 64 66 70 75 77 80 84 88 96 98 100 105 110 112 120 125 128 132 140 147 150 154 160 165 168 175 176 192 196 200 210 220 224 231 240 245 250 256 257 264 275 280 294 300 308 320 330 336 350 352 375 384 385 392 400 420 440 448 462 480 490 500 512 514 525 528 539 550 560 588 600 616 640 660 672 700 704 735 750 768 770 771 784 800 825 840 875 880 896 924 960 980 1000 1024 1028 1050 1056 1078 1100 1120 1155 1176 1200 1225 1232 1280 1285 1320 1344 1375 1400 1408 1470 1500 1536 1540 1542 1568 1600 1617 1650 1680 1750 1760 1792 1799 1848 1920 1925 1960 2000 2048 2056 2100 2112 2156 2200 2240 2310 2352 2400 2450 2464 2560 2570 2625 2640 2688 2695 2750 2800 2816 2827 2940 3000 3072 3080 3084 3136 3200 3234 3300 3360 3500 3520 3584 3598 3675 3696 3840 3850 3855 3920 4000 4096 4112 4125 4200 4224 4312 4400 4480 4620 4704 4800 4900 4928 5120 5140 5250 5280 5376 5390 5397 5500 5600 5632 5654 5775 5880 6000 6125 6144 6160 6168 6272 6400 6425 6468 6600 6720 7000 7040 7168 7196 7350 7392 7680 7700 7710 7840 8000 8085 8224 8250 8400 8448 8481 8624 8800 8960 8995 9240 9408 9600 9625 9800 9856 10240 10280 10500 10560 10752 10780 10794 11000 11200 11264 11308 11550 11760 12000 12250 12288 12320 12336 12544 12593 12800 12850 12936 13200 13440 13475 14000 14080 14135 14336 14392 14700 14784 15360 15400 15420 15680 16000 16170 16448 16500 16800 16896 16962 17248 17600 17920 17990 18375 18480 18816 19200 19250 19275 19600 19712 19789 20480 20560 21000 21120 21504 21560 21588 22000 22400 22528 22616 23100 23520 24000 24500 24640 24672 25088 25186 25600 25700 25872 26400 26880 26950 26985 28000 28160 28270 28672 28784 28875 29400 29568 30720 30800 30840 31360 32000 32125 32340 32896 33000 33600 33792 33924 34496 35200 35840 35980 36750 36960 37632 37779 38400 38500 38550 39200 39424 39578 40425 41120 42000 42240 42405 43008 43120 43176 44000 44800 44975 45056 45232 46200 47040 48000 49000 49280 49344 50176 50372 51200 51400 51744 52800 53760 53900 53970 56000 56320 56540 57568 57750 58800 59136 59367 61440 61600 61680 62720 62965 64000 64250 64680 65792 66000 67200 67375 67584 67848 68992 70400 70675 71680 71960 73500 73920 75264 75558 76800 77000 77100 78400 78848 79156 80850 82240 84000 84480 84810 86016 86240 86352 88000 89600 89950 90464 92400 94080 96000 96375 98000 98560 98688 98945 100352 100744 102400 102800 103488 105600 107520 107800 107940 112000 112640 113080 115136 115500 117600 118272 118734 123200 123360 125440 125930 128000 128500 129360 131584 132000 134400 134750 134925 135168 135696 137984 138523 140800 141350 143360 143920 147000 147840 150528 151116 153600 154000 154200 156800 157696 158312 161700 164480 168000 168960 169620 172480 172704 176000 179200 179900 180928 184800 188160 188895 192000 192750 196000 197120 197376 197890 200704 201488 202125 205600 206976 211200 212025 215040 215600 215880 224000 224875 225280 226160 230272 231000 235200 236544 237468 246400 246720 250880 251860 256000 257000 258720 263168 264000 268800 269500 269850 271392 275968 277046 281600 282700 287840 294000 295680 296835 301056 302232 307200 308000 308400 313600 314825 315392 316624 323400 328960 336000 337920 339240 344960 345408 352000 353375 358400 359800 361856 369600 376320 377790 384000 385500 392000 394240 394752 395780 402976 404250 411200 413952 415569 422400 424050 430080 431200 431760 448000 449750 452320 460544 462000 470400 473088 474936 492800 493440 494725 501760 503720 512000 514000 517440 526336 528000 537600 539000 539700 542784 551936 554092 563200 565400 575680 588000 591360 593670 602112 604464 616000 616800 627200 629650 633248 646800 657920 672000 674625 675840 678480 689920 690816 692615 704000 706750 716800 719600 723712 739200 752640 755580 768000 771000 784000 788480 789504 791560 805952 808500 822400 827904 831138 844800 848100 862400 863520 896000 899500 904640 921088 924000 940800 944475 946176 949872 985600 986880 989450 1003520 1007440 1028000 1034880 1052672 1056000 1060125 1075200 1078000 1079400 1085568 1103872 1108184 1126400 1130800 1151360 1176000 1182720 1187340 1208928 1232000 1233600 1254400 1259300 1266496 1293600 1315840 1344000 1349250 1356960 1379840 1381632 1385230 1408000 1413500 1439200 1447424 1478400 1484175 1505280 1511160 1536000 1542000 1568000 1574125 1576960 1579008 1583120 1611904 1617000 1644800 1655808 1662276 1689600 1696200 1724800 1727040 1792000 1799000 1809280 1842176 1848000 1881600 1888950 1899744 1971200 1973760 1978900 2014880 2056000 2069760 2077845 2112000 2120250 2150400 2156000 2158800 2171136 2207744 2216368 2261600 2302720 2352000 2365440 2374680 2417856 2464000 2467200 2473625 2508800 2518600 2532992 2587200 2631680 2688000 2698500 2713920 2759680 2763264 2770460 2816000 2827000 2878400 2894848 2956800 2968350 3010560 3022320 3084000 3136000 3148250 3158016 3166240 3223808 3234000 3289600 3311616 3324552 3379200 3392400 3449600 3454080 3463075 3584000 3598000 3618560 3684352 3696000 3763200 3777900 3799488 3942400 3947520 3957800 4029760 4112000 4139520 4155690 4224000 4240500 4312000 4317600 4342272 4432736 4523200 4605440 4704000 4722375 4730880 4749360 4835712 4928000 4934400 4947250 5017600 5037200 5065984 5174400 5263360 5376000 5397000 5427840 5519360 5526528 5540920 5632000 5654000 5756800 5789696 5913600 5936700 6044640 6168000 6272000 6296500 6332480 6447616 6468000 6579200 6623232 6649104 6784800 6899200 6908160 6926150 7196000 7237120 7368704 7392000 7420875 7526400 7555800 7598976 7884800 7895040 7915600 8059520 8224000 8279040 8311380 8448000 8481000 8624000 8635200 8684544 8865472 9046400 9210880 9408000 9444750 9498720 9671424 9856000 9868800 9894500 10074400 10131968 10348800 10389225 10752000 10794000 10855680 11038720 11053056 11081840 11308000 11513600 11579392 11827200 11873400 12089280 12336000 12544000 12593000 12664960 12895232 12936000 13158400 13298208 13569600 13798400 13816320 13852300 14392000 14474240 14784000 14841750 15052800 15111600 15197952 15790080 15831200 16119040 16448000 16558080 16622760 16896000 16962000 17248000 17270400 17315375 17369088 17730944 18092800 18421760 18816000 18889500 18997440 19342848 19712000 19737600 19789000 20148800 20263936 20697600 20778450 21588000 21711360 22106112 22163680 22616000 23027200 23654400 23746800 24178560 24672000 25088000 25186000 25329920 25790464 25872000 26316800 26596416 27139200 27596800 27632640 27704600 28784000 28948480 29568000 29683500 30223200 30395904 31662400 32238080 32896000 33116160 33245520 33924000 34496000 34540800 34630750 34738176 35461888 36185600 36843520 37632000 37779000 37994880 38685696 39424000 39475200 39578000 40297600 40527872 41395200 41556900 43176000 43422720 44327360 45232000 46054400 47493600 48357120 49344000 50372000 50659840 51580928 51744000 51946125 53192832 54278400 55193600 55265280 55409200 57568000 57896960 59136000 59367000 60446400 60791808 63324800 64476160 65792000 66491040 67848000 68992000 69081600 69261500 70923776 72371200 75264000 75558000 75989760 77371392 78950400 79156000 80595200 81055744 82790400 83113800 86352000 86845440 88654720 90464000 92108800 94987200 96714240 98688000 100744000 101319680 103488000 103892250 106385664 108556800 110530560 110818400 115136000 118272000 118734000 120892800 121583616 126649600 128952320 131584000 132982080 135696000 137984000 138163200 138523000 141847552 144742400 151116000 151979520 154742784 158312000 161190400 165580800 166227600 172704000 173690880 177309440 180928000 184217600 189974400 193428480 197376000 201488000 202639360 206976000 207784500 212771328 217113600 221636800 230272000 237468000 241785600 243167232 253299200 257904640 265964160 271392000 275968000 276326400 277046000 283695104 289484800 302232000 303959040 316624000 322380800 332455200 345408000 354618880 361856000 379948800 386856960 394752000 402976000 405278720 413952000 415569000 425542656 434227200 443273600 460544000 474936000 483571200 506598400 531928320 542784000 552652800 554092000 567390208 604464000 607918080 633248000 644761600 664910400 690816000 709237760 723712000 759897600 773713920 805952000 827904000 831138000 851085312 868454400 886547200 921088000 949872000 967142400 1013196800 1063856640 1085568000 1108184000 1208928000 1215836160 1266496000 1289523200 1329820800 1381632000 1418475520 1447424000 1519795200 1611904000 1662276000 1702170624 1773094400 1899744000 1934284800 2026393600 2127713280 2171136000 2216368000 2417856000 2532992000 2659641600 2763264000 2836951040 3039590400 3223808000 3324552000 3546188800 3799488000 3868569600 4255426560 4342272000 4432736000 4835712000 5065984000 5319283200 6079180800 6447616000 6649104000 7092377600 7598976000 8510853120 8865472000 9671424000 10131968000 10638566400 13298208000 14184755200 15197952000 17730944000 19342848000 21277132800 26596416000 30395904000 35461888000 42554265600 53192832000 70923776000 106385664000 212771328000
• Sum of all divisors σ(n): 901980862848
• Sum of proper divisors (its aliquot sum) s(n): 689209534848
• 212771328000 is an abundant number, because the sum of its proper divisors (689209534848) is greater than itself. Its abundance is 476438206848

Bases of 212771328000

• Binary: 11000110001010001010001101000000000000₂
• Hexadecimal: 0x318A28D000
• Base-36: 2PQUJZEO

Squares and roots of 212771328000

• 212771328000 squared (212771328000²) is 45271638018883584000000
• 212771328000 cubed (212771328000³) is 9632506542013149245079552000000000
• The square root of 212771328000 is 461271.4255186419
• The cube root of 212771328000 is 5969.9546865465

Scales and comparisons

• 212,771,328,000 seconds is equal to 6,765 years, 24 weeks, 3 days, 2 hours, 40 minutes.
• To count from 1 to 212,771,328,000 would take you about thirteen thousand, five hundred thirty 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 212771328000 cubic inches would be around 497.5 feet tall.

Recreational maths with 212771328000

• 212771328000 backwards is 000823177212
• 212771328000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 212771328000's digits is 33
• More coming soon!