212842144800

Names of 212842144800

• Cardinal: 212842144800 can be written as Two hundred twelve billion, eight hundred forty-two million, one hundred forty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 2.128421448 × 10¹¹

Factors of 212842144800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 407

Divisors of 212842144800

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 37 40 45 48 50 54 60 72 74 75 80 81 90 96 100 108 111 120 127 135 144 148 150 160 162 180 185 200 216 222 225 233 240 243 254 270 288 296 300 324 333 360 370 381 400 405 432 444 450 466 480 486 508 540 555 592 600 635 648 666 675 699 720 740 762 800 810 864 888 900 925 932 972 999 1016 1080 1110 1143 1165 1184 1200 1215 1270 1296 1332 1350 1398 1440 1480 1524 1620 1665 1776 1800 1850 1864 1905 1944 1998 2025 2032 2097 2160 2220 2286 2330 2400 2430 2540 2592 2664 2700 2775 2796 2960 2997 3048 3175 3240 3330 3429 3495 3552 3600 3700 3728 3810 3888 3996 4050 4064 4194 4320 4440 4572 4660 4699 4860 4995 5080 5328 5400 5550 5592 5715 5825 5920 5994 6075 6096 6291 6350 6480 6660 6858 6990 7200 7400 7456 7620 7776 7992 8100 8325 8388 8621 8880 8991 9144 9320 9398 9525 9720 9990 10160 10287 10485 10656 10800 11100 11184 11430 11650 11988 12150 12192 12582 12700 12960 13320 13716 13980 14097 14800 14985 15240 15984 16200 16650 16776 17145 17242 17475 17760 17982 18288 18640 18796 18873 19050 19440 19980 20320 20574 20970 21600 22200 22368 22860 23300 23495 23976 24300 24975 25164 25400 25863 26640 27432 27960 28194 28575 29591 29600 29970 30480 30861 31455 31968 32400 33300 33552 34290 34484 34950 35964 36576 37280 37592 37746 38100 38880 39960 41148 41940 42291 43105 44400 44955 45720 46600 46990 47952 48600 49950 50328 50800 51435 51726 52425 53280 54864 55920 56388 56619 57150 59182 59940 60960 61722 62910 64800 66600 67104 68580 68968 69900 70485 71928 74925 75184 75492 76200 77589 79920 82296 83880 84582 85725 86210 88773 88800 89910 91440 93200 93980 94365 95904 97200 99900 100656 101600 102870 103452 104850 109728 111840 112776 113238 114300 117475 118364 119880 123444 125820 126873 129315 133200 137160 137936 139800 140970 143856 147955 149850 150368 150984 152400 154305 155178 157275 159840 164592 167760 169164 171450 172420 177546 179820 182880 186400 187960 188730 194400 199800 201312 205740 206904 209700 211455 215525 224775 225552 226476 228600 232767 234950 236728 239760 246888 251640 253746 257175 258630 266319 266400 274320 275872 279600 281940 283095 287712 295910 299700 301968 304800 308610 310356 314550 329184 335520 338328 342900 344840 352425 355092 359640 375920 377460 380619 387945 399600 411480 413808 419400 422910 431050 443865 449550 451104 452952 457200 465534 469900 471825 473456 479520 493776 503280 507492 514350 517260 532638 548640 559200 563880 566190 591820 599400 603936 617220 620712 629100 634365 646575 676656 685800 689680 698301 704850 710184 719280 739775 751840 754920 761238 771525 775890 798957 799200 822960 827616 838800 845820 862100 887730 899100 905904 914400 931068 939800 943650 946912 987552 1006560 1014984 1028700 1034520 1057275 1065276 1094867 1127760 1132380 1141857 1163835 1183640 1198800 1234440 1241424 1258200 1268730 1293150 1331595 1353312 1371600 1379360 1396602 1409700 1415475 1420368 1438560 1479550 1509840 1522476 1543050 1551780 1597914 1645920 1677600 1691640 1724200 1775460 1798200 1811808 1862136 1879600 1887300 1903095 1939725 2029968 2057400 2069040 2094903 2114550 2130552 2189734 2219325 2255520 2264760 2283714 2327670 2367280 2396871 2397600 2468880 2482848 2516400 2537460 2586300 2663190 2743200 2793204 2819400 2830950 2840736 2959100 3019680 3044952 3086100 3103560 3171825 3195828 3284601 3383280 3448400 3491505 3550920 3596400 3724272 3759200 3774600 3806190 3879450 3994785 4059936 4114800 4138080 4189806 4229100 4261104 4379468 4438650 4529520 4567428 4655340 4734560 4793742 4937760 5032800 5074920 5172600 5326380 5474335 5586408 5638800 5661900 5709285 5819175 5918200 6089904 6172200 6207120 6343650 6391656 6569202 6657975 6766560 6896800 6983010 7101840 7190613 7192800 7448544 7549200 7612380 7758900 7989570 8229600 8379612 8458200 8522208 8758936 8877300 9059040 9134856 9310680 9515475 9587484 9853803 10149840 10345200 10474515 10652760 10948670 11172816 11277600 11323800 11418570 11638350 11836400 11984355 12179808 12344400 12414240 12687300 12783312 13138404 13315950 13966020 14203680 14381226 15098400 15224760 15517800 15979140 16423005 16759224 16916400 17457525 17517872 17754600 18269712 18621360 19030950 19174968 19707606 19973925 20299680 20690400 20949030 21305520 21897340 22345632 22647600 22837140 23276700 23672800 23968710 24688800 25374600 25566624 26276808 26631900 27371675 27932040 28546425 28762452 29561409 30449520 31035600 31958280 32846010 33518448 33832800 34915050 35035744 35509200 35953065 36539424 37242720 38061900 38349936 39415212 39947850 41898060 42611040 43794680 45295200 45674280 46553400 47937420 49269015 50749200 52372575 52553616 53263800 54743350 55864080 57092850 57524904 59122818 59921775 60899040 62071200 63916560 65692020 67036896 69830100 71018400 71906130 76123800 76699872 78830424 79895700 82115025 83796120 87589360 88684227 91348560 93106800 95874840 98538030 101498400 104745150 105107232 106527600 109486700 111728160 114185700 115049808 118245636 119843550 127833120 131384040 139660200 143812260 147807045 152247600 157660848 159791400 164230050 167592240 175178720 177368454 179765325 182697120 186213600 191749680 197076060 209490300 213055200 218973400 228371400 230099616 236491272 239687100 246345075 262768080 266052681 279320400 287624520 295614090 304495200 315321696 319582800 328460100 335184480 354736908 359530650 383499360 394152120 418980600 437946800 443421135 456742800 472982544 479374200 492690150 525536160 532105362 558640800 575249040 591228180 639165600 656920200 709473816 719061300 739035225 788304240 837961200 875893600 886842270 913485600 945965088 958748400 985380300 1064210724 1150498080 1182456360 1313840400 1330263405 1418947632 1438122600 1478070450 1576608480 1675922400 1773684540 1917496800 1970760600 2128421448 2217105675 2364912720 2627680800 2660526810 2837895264 2876245200 2956140900 3547369080 3941521200 4256842896 4434211350 4729825440 5321053620 5752490400 5912281800 6651317025 7094738160 7883042400 8513685792 8868422700 10642107240 11824563600 13302634050 14189476320 17736845400 21284214480 23649127200 26605268100 35473690800 42568428960 53210536200 70947381600 106421072400 212842144800
• Sum of all divisors σ(n): 809120212992
• Sum of proper divisors (its aliquot sum) s(n): 596278068192
• 212842144800 is an abundant number, because the sum of its proper divisors (596278068192) is greater than itself. Its abundance is 383435923392

Bases of 212842144800

• Binary: 11000110001110011000010110010000100000₂
• Hexadecimal: 0x318E616420
• Base-36: 2PS0PU00

Squares and roots of 212842144800

• 212842144800 squared (212842144800²) is 45301778603064167040000
• 212842144800 cubed (212842144800³) is 9642127721130925164819067392000000
• The square root of 212842144800 is 461348.1817456313
• The cube root of 212842144800 is 5970.6169408641

Scales and comparisons

• 212,842,144,800 seconds is equal to 6,767 years, 37 weeks, 3 days, 18 hours.
• To count from 1 to 212,842,144,800 would take you about thirteen thousand, five hundred thirty-five 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 212842144800 cubic inches would be around 497.6 feet tall.

Recreational maths with 212842144800

• 212842144800 backwards is 008441248212
• 212842144800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 212842144800's digits is 36
• More coming soon!