420794400768

Names of 420794400768

• Cardinal: 420794400768 can be written as Four hundred twenty billion, seven hundred ninety-four million, four hundred thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.20794400768 × 10¹¹

Factors of 420794400768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 1452

Divisors of 420794400768

• Number of divisors d(n): 408
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 64 84 93 96 98 112 124 128 147 168 186 192 196 217 224 248 256 294 336 372 384 392 434 448 496 512 588 651 672 744 768 784 868 896 992 1024 1176 1302 1344 1409 1488 1519 1536 1568 1736 1792 1984 2048 2352 2604 2688 2818 2976 3038 3072 3136 3472 3584 3968 4096 4227 4557 4704 5208 5376 5636 5952 6076 6144 6272 6944 7168 7936 8192 8454 9114 9408 9863 10416 10752 11272 11904 12152 12288 12544 13888 14336 15872 16384 16908 18228 18816 19726 20832 21504 22544 23808 24304 24576 25088 27776 28672 29589 31744 32768 33816 36456 37632 39452 41664 43008 43679 45088 47616 48608 49152 50176 55552 57344 59178 63488 65536 67632 69041 72912 75264 78904 83328 86016 87358 90176 95232 97216 98304 100352 111104 114688 118356 126976 131037 135264 138082 145824 150528 157808 166656 172032 174716 180352 190464 194432 196608 200704 207123 222208 229376 236712 253952 262074 270528 276164 291648 301056 305753 315616 333312 344064 349432 360704 380928 388864 401408 414246 444416 458752 473424 507904 524148 541056 552328 583296 602112 611506 631232 666624 688128 698864 721408 761856 777728 802816 828492 888832 917259 946848 1015808 1048296 1082112 1104656 1166592 1204224 1223012 1262464 1333248 1376256 1397728 1442816 1523712 1555456 1605632 1656984 1777664 1834518 1893696 2031616 2096592 2140271 2164224 2209312 2333184 2408448 2446024 2524928 2666496 2795456 2885632 3047424 3110912 3211264 3313968 3555328 3669036 3787392 4193184 4280542 4328448 4418624 4666368 4816896 4892048 5049856 5332992 5590912 5771264 6094848 6221824 6420813 6627936 7110656 7338072 7574784 8386368 8561084 8656896 8837248 9332736 9633792 9784096 10099712 10665984 11181824 11542528 12443648 12841626 13255872 14221312 14676144 15149568 16772736 17122168 17313792 17674496 18665472 19568192 20199424 21331968 22363648 23085056 24887296 25683252 26511744 29352288 30299136 33545472 34244336 34627584 35348992 37330944 39136384 40398848 42663936 44727296 46170112 49774592 51366504 53023488 58704576 60598272 67090944 68488672 69255168 70697984 74661888 78272768 80797696 89454592 92340224 99549184 102733008 106046976 117409152 121196544 134181888 136977344 138510336 141395968 149323776 156545536 161595392 178909184 205466016 212093952 234818304 242393088 268363776 273954688 277020672 282791936 298647552 313091072 323190784 357818368 410932032 424187904 469636608 484786176 536727552 547909376 565583872 626182144 646381568 715636736 821864064 848375808 939273216 969572352 1073455104 1095818752 1131167744 1252364288 1431273472 1643728128 1696751616 1878546432 1939144704 2146910208 2191637504 2262335488 2504728576 2862546944 3287456256 3393503232 3757092864 4293820416 4383275008 4524670976 5009457152 6574912512 6787006464 7514185728 8587640832 8766550016 10018914304 13149825024 13574012928 15028371456 17533100032 20037828608 26299650048 30056742912 35066200064 52599300096 60113485824 70132400128 105198600192 140264800256 210397200384 420794400768
• Sum of all divisors σ(n): 1348374562560
• Sum of proper divisors (its aliquot sum) s(n): 927580161792
• 420794400768 is an abundant number, because the sum of its proper divisors (927580161792) is greater than itself. Its abundance is 506785761024

Bases of 420794400768

• Binary: 110000111111001010011010000000000000000₂
• Hexadecimal: 0x61F94D0000
• Base-36: 5DB64DMO

Squares and roots of 420794400768

• 420794400768 squared (420794400768²) is 177067927717700198989824
• 420794400768 cubed (420794400768³) is 74509192539201193100997349009784832
• The square root of 420794400768 is 648686.6738017669
• The cube root of 420794400768 is 7493.5909738067

Scales and comparisons

• 420,794,400,768 seconds is equal to 13,379 years, 49 weeks, 6 days, 13 hours, 32 minutes, 48 seconds.
• To count from 1 to 420,794,400,768 would take you about twenty-six thousand, seven hundred fifty-nine 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 420794400768 cubic inches would be around 624.5 feet tall.

Recreational maths with 420794400768

• 420794400768 backwards is 867004497024
• The number of decimal digits it has is: 12
• The sum of 420794400768's digits is 51
• More coming soon!