42120181196221296

Names of 42120181196221296

• Cardinal: 42120181196221296 can be written as Forty-two quadrillion, one hundred twenty trillion, one hundred eighty-one billion, one hundred ninety-six million, two hundred twenty-one thousand, two hundred ninety-six.

Scientific notation

• Scientific notation: 4.2120181196221296 × 10¹⁶

Factors of 42120181196221296

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 18917

Divisors of 42120181196221296

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 137 152 168 228 266 274 304 336 399 411 456 532 548 798 822 912 959 1064 1096 1596 1644 1918 2128 2192 2603 2877 3192 3288 3836 5206 5754 6384 6576 7672 7809 10412 11508 15344 15618 18221 18749 18769 20824 23016 31236 36442 37498 37538 41648 46032 54663 56247 56307 62472 72884 74996 75076 109326 112494 112614 124944 131243 131383 145768 149992 150152 218652 224988 225228 262486 262766 291536 299984 300304 356231 356611 393729 394149 437304 449976 450456 524972 525532 712462 713222 787458 788298 874608 899952 900912 1049944 1051064 1068693 1069833 1424924 1426444 1574916 1576596 2099888 2102128 2137386 2139666 2493617 2496277 2568613 2849848 2852888 3149832 3153192 4274772 4279332 4987234 4992554 5137226 5699696 5705776 6299664 6306384 7480851 7488831 7705839 8549544 8558664 9974468 9985108 10274452 14961702 14977662 15411678 17099088 17117328 17980291 19948936 19970216 20548904 29923404 29955324 30823356 35960582 39897872 39940432 41097808 48803647 53940873 59846808 59910648 61646712 71921164 97607294 107881746 119693616 119821296 123293424 143842328 146410941 195214588 215763492 287684656 292821882 341625529 351525001 351899981 390429176 431526984 585643764 683251058 703050002 703799962 780858352 863053968 1024876587 1054575003 1055699943 1171287528 1366502116 1406100004 1407599924 2049753174 2109150006 2111399886 2342575056 2460675007 2463299867 2733004232 2812200008 2815199848 4099506348 4218300012 4222799772 4921350014 4926599734 5466008464 5624400016 5630399696 6678975019 6686099639 7382025021 7389899601 8199012696 8436600024 8445599544 9842700028 9853199468 13357950038 13372199278 14764050042 14779799202 16398025392 16873200048 16891199088 19685400056 19706398936 20036925057 20058298917 26715900076 26744398556 29528100084 29559598404 39370800112 39412797872 40073850114 40116597834 46752825133 46802697473 48158925137 53431800152 53488797112 59056200168 59119196808 80147700228 80233195668 93505650266 93605394946 96317850274 106863600304 106977594224 118112400336 118238393616 140258475399 140408092419 144476775411 160295400456 160466391336 187011300532 187210789892 192635700548 280516950798 280816184838 288953550822 320590800912 320932782672 337112475959 374022601064 374421579784 385271401096 561033901596 561632369676 577907101644 674224951918 748045202128 748843159568 770542802192 915019577603 1011337427877 1122067803192 1123264739352 1155814203288 1348449903836 1830039155206 2022674855754 2244135606384 2246529478704 2311628406576 2696899807672 2745058732809 3660078310412 4045349711508 5393799615344 5490117465618 6405137043221 6597772743769 7320156620824 8090699423016 10980234931236 12810274086442 13195545487538 14640313241648 16181398846032 19215411129663 19793318231307 21960469862472 25620548172884 26391090975076 38430822259326 39586636462614 43920939724944 46184409206383 51241096345768 52782181950152 76861644518652 79173272925228 92368818412766 102482192691536 105564363900304 125357682131611 138553227619149 153723289037304 158346545850456 184737636825532 250715364263222 277106455238298 307446578074608 316693091700912 369475273651064 376073046394833 501430728526444 554212910476596 738950547302128 752146092789666 877503774921277 1002861457052888 1108425820953192 1504292185579332 1755007549842554 2005722914105776 2216851641906384 2632511324763831 3008584371158664 3510015099685108 5265022649527662 6017168742317328 7020030199370216 10530045299055324 14040060398740432 21060090598110648 42120181196221296
• Sum of all divisors σ(n): 131869291971114880
• Sum of proper divisors (its aliquot sum) s(n): 89749110774893584
• 42120181196221296 is an abundant number, because the sum of its proper divisors (89749110774893584) is greater than itself. Its abundance is 47628929578672288

Bases of 42120181196221296

• Binary: 10010101101001000001010011100110000100110110101101110000₂
• Hexadecimal: 0x95A414E6136B70
• Base-36: BIQCW45DN5C

Squares and roots of 42120181196221296

• 42120181196221296 squared (42120181196221296²) is 1774109664002514045651949003919616
• 42120181196221296 cubed (42120181196221296³) is 74725820509753173574600208343892533845512131342336
• The square root of 42120181196221296 is 205232017.9607005081
• The cube root of 42120181196221296 is 347933.8987836543

Scales and comparisons

• 42,120,181,196,221,296 seconds is equal to 1,339,291,475 years, 39 weeks, 5 days, 11 hours, 41 minutes, 36 seconds.
• To count from 1 to 42,120,181,196,221,296 would take you about four billion, seventeen million, eight hundred seventy-four thousand, four hundred twenty-seven 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 42120181196221296 cubic inches would be around 28994.5 feet tall.

Recreational maths with 42120181196221296

• 42120181196221296 backwards is 69212269118102124
• 42120181196221296 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 42120181196221296's digits is 57
• More coming soon!