21157940001948800

Names of 21157940001948800

• Cardinal: 21157940001948800 can be written as Twenty-one quadrillion, one hundred fifty-seven trillion, nine hundred forty billion, one million, nine hundred forty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 2.11579400019488 × 10¹⁶

Factors of 21157940001948800

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 144

Divisors of 21157940001948800

• Number of divisors d(n): 168
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 137 160 200 274 320 400 548 640 685 800 1096 1370 1600 2192 2740 3200 3425 4384 5480 6850 8768 10960 13700 17536 18769 21920 27400 37538 43840 54800 75076 87680 93845 109600 150152 187690 219200 300304 375380 438400 469225 600608 750760 938450 1201216 1501520 1876900 2402432 2571353 3003040 3753800 5142706 6006080 7507600 10285412 12012160 12856765 15015200 20570824 25713530 30030400 41141648 51427060 60060800 64283825 82283296 102854120 128567650 164566592 205708240 257135300 329133184 352275361 411416480 514270600 704550722 822832960 1028541200 1409101444 1645665920 1761376805 2057082400 2818202888 3522753610 4114164800 5636405776 7045507220 8228329600 8806884025 11272811552 14091014440 17613768050 22545623104 28182028880 35227536100 45091246208 48261724457 56364057760 70455072200 96523448914 112728115520 140910144400 193046897828 225456231040 241308622285 281820288800 386093795656 482617244570 563640577600 772187591312 965234489140 1127281155200 1206543111425 1544375182624 1930468978280 2413086222850 3088750365248 3860937956560 4826172445700 6177500730496 6611856250609 7721875913120 9652344891400 13223712501218 15443751826240 19304689782800 26447425002436 30887503652480 33059281253045 38609379565600 52894850004872 66118562506090 77218759131200 105789700009744 132237125012180 154437518262400 165296406265225 211579400019488 264474250024360 330592812530450 423158800038976 528948500048720 661185625060900 846317600077952 1057897000097440 1322371250121800 2115794000194880 2644742500243600 4231588000389760 5289485000487200 10578970000974400 21157940001948800
• Sum of all divisors σ(n): 52651037805630735
• Sum of proper divisors (its aliquot sum) s(n): 31493097803681935
• 21157940001948800 is an abundant number, because the sum of its proper divisors (31493097803681935) is greater than itself. Its abundance is 10335157801733135

Bases of 21157940001948800

• Binary: 1001011001010110000100011001001111111101100010010000000₂
• Hexadecimal: 0x4B2B08C9FEC480
• Base-36: 5SBV3GBC60W

Squares and roots of 21157940001948800

• 21157940001948800 squared (21157940001948800²) is 447658425126065186947797821440000
• 21157940001948800 cubed (21157940001948800³) is 9471530100184176400415965274482101994422272000000
• The square root of 21157940001948800 is 145457691.4499498029
• The cube root of 21157940001948800 is 276582.3487919257
• Being both a perfect square and a perfect cube, 21157940001948800 is also a perfect sixth number.

Scales and comparisons

• 21,157,940,001,948,800 seconds is equal to 672,757,046 years, 13 weeks, 2 days, 8 hours, 53 minutes, 20 seconds.
• To count from 1 to 21,157,940,001,948,800 would take you about two billion, eighteen million, two hundred seventy-one thousand, one hundred thirty-eight 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 21157940001948800 cubic inches would be around 23048.5 feet tall.

Recreational maths with 21157940001948800

• 21157940001948800 backwards is 00884910004975112
• The number of decimal digits it has is: 17
• The sum of 21157940001948800's digits is 59
• More coming soon!