42078219200389120

Names of 42078219200389120

• Cardinal: 42078219200389120 can be written as Forty-two quadrillion, seventy-eight trillion, two hundred nineteen billion, two hundred million, three hundred eighty-nine thousand, one hundred twenty.

Scientific notation

• Scientific notation: 4.207821920038912 × 10¹⁶

Factors of 42078219200389120

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 54741

Divisors of 42078219200389120

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 343 392 448 490 512 560 640 686 784 896 980 1024 1120 1280 1372 1568 1715 1792 1960 2048 2240 2560 2744 3136 3430 3584 3920 4096 4480 5120 5488 6272 6860 7168 7840 8192 8960 10240 10976 12544 13720 14336 15680 17920 20480 21952 25088 27440 28672 31360 35840 40960 43904 50176 54727 54880 57344 62720 71680 87808 100352 109454 109760 125440 143360 175616 200704 218908 219520 250880 273635 286720 351232 383089 401408 437816 439040 501760 547270 702464 766178 875632 878080 1003520 1094540 1404928 1532356 1751264 1756160 1915445 2007040 2189080 2681623 2809856 3064712 3502528 3512320 3830890 4378160 5363246 6129424 7005056 7024640 7661780 8756320 10726492 12258848 13408115 14010112 14049280 15323560 17512640 18771361 21452984 24517696 26816230 28020224 30647120 35025280 37542722 42905968 49035392 53632460 56040448 61294240 70050560 75085444 85811936 93856805 98070784 107264920 112080896 122588480 140101120 150170888 171623872 187713610 196141568 214529840 224161792 245176960 280202240 300341776 343247744 375427220 392283136 429059680 448323584 490353920 560404480 600683552 686495488 750854440 784566272 858119360 980707840 1120808960 1201367104 1372990976 1501708880 1569132544 1716238720 1961415680 2241617920 2402734208 2745981952 2995044529 3003417760 3138265088 3432477440 3922831360 4805468416 5491963904 5990089058 6006835520 6864954880 7845662720 9610936832 10983927808 11980178116 12013671040 13729909760 14975222645 15691325440 19221873664 20965311703 21967855616 23960356232 24027342080 27459819520 29950445290 38443747328 41930623406 47920712464 48054684160 54919639040 59900890580 76887494656 83861246812 95841424928 96109368320 104826558515 109839278080 119801781160 146757181921 153774989312 167722493624 191682849856 192218736640 209653117030 239603562320 293514363842 335444987248 383365699712 384437473280 419306234060 479207124640 587028727684 670889974496 733785909605 766731399424 768874946560 838612468120 958414249280 1027300273447 1174057455368 1341779948992 1467571819210 1533462798848 1677224936240 1916828498560 2054600546894 2348114910736 2683559897984 2935143638420 3066925597696 3354449872480 3833656997120 4109201093788 4696229821472 5136501367235 5367119795968 5870287276840 6133851195392 6708899744960 7667313994240 8218402187576 9392459642944 10273002734470 10734239591936 11740574553680 12267702390784 13417799489920 15334627988480 16436804375152 18784919285888 20546005468940 21468479183872 23481149107360 24535404781568 26835598979840 30669255976960 32873608750304 37569838571776 41092010937880 42936958367744 46962298214720 53671197959680 61338511953920 65747217500608 75139677143552 82184021875760 85873916735488 93924596429440 107342395919360 122677023907840 131494435001216 150279354287104 164368043751520 171747833470976 187849192858880 214684791838720 262988870002432 300558708574208 328736087503040 375698385717760 429369583677440 525977740004864 601117417148416 657472175006080 751396771435520 858739167354880 1051955480009728 1202234834296832 1314944350012160 1502793542871040 2103910960019456 2629888700024320 3005587085742080 4207821920038912 5259777400048640 6011174171484160 8415643840077824 10519554800097280 21039109600194560 42078219200389120
• Sum of all divisors σ(n): 117764906705834400
• Sum of proper divisors (its aliquot sum) s(n): 75686687505445280
• 42078219200389120 is an abundant number, because the sum of its proper divisors (75686687505445280) is greater than itself. Its abundance is 33608468305056160

Bases of 42078219200389120

• Binary: 10010101011111011110101011011100001110000110000000000000₂
• Hexadecimal: 0x957DEADC386000
• Base-36: BIBHF1GHJB4

Squares and roots of 42078219200389120

• 42078219200389120 squared (42078219200389120²) is 1770576531075995593310359414374400
• 42078219200389120 cubed (42078219200389120³) is 74502707385680321173319648474098561123801366528000
• The square root of 42078219200389120 is 205129761.8591439793
• The cube root of 42078219200389120 is 347818.3179902287

Scales and comparisons

• 42,078,219,200,389,120 seconds is equal to 1,337,957,214 years, 4 weeks, 6 days, 10 hours, 18 minutes, 40 seconds.
• To count from 1 to 42,078,219,200,389,120 would take you about four billion, thirteen million, eight hundred seventy-one thousand, six hundred forty-two 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 42078219200389120 cubic inches would be around 28984.9 feet tall.

Recreational maths with 42078219200389120

• 42078219200389120 backwards is 02198300291287024
• The number of decimal digits it has is: 17
• The sum of 42078219200389120's digits is 58
• More coming soon!