13500424792944000

Names of 13500424792944000

• Cardinal: 13500424792944000 can be written as Thirteen quadrillion, five hundred trillion, four hundred twenty-four billion, seven hundred ninety-two million, nine hundred forty-four thousand.

Scientific notation

• Scientific notation: 1.3500424792944 × 10¹⁶

Factors of 13500424792944000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 10416994449

Divisors of 13500424792944000

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 250 270 288 300 320 324 360 375 384 400 405 432 450 480 500 540 576 600 640 648 675 720 750 800 810 864 900 960 1000 1080 1125 1152 1200 1296 1350 1440 1500 1600 1620 1728 1800 1920 2000 2025 2160 2250 2400 2592 2700 2880 3000 3200 3240 3375 3456 3600 4000 4050 4320 4500 4800 5184 5400 5760 6000 6480 6750 7200 8000 8100 8640 9000 9600 10125 10368 10800 12000 12960 13500 14400 16000 16200 17280 18000 20250 21600 24000 25920 27000 28800 32400 36000 40500 43200 48000 51840 54000 64800 72000 81000 86400 108000 129600 144000 162000 216000 259200 324000 432000 648000 1296000 10416994439 20833988878 31250983317 41667977756 52084972195 62501966634 83335955512 93752949951 104169944390 125003933268 156254916585 166671911024 187505899902 208339888780 250007866536 260424860975 281258849853 312509833170 333343822048 375011799804 416679777560 468764749755 500015733072 520849721950 562517699706 625019666340 666687644096 750023599608 781274582925 833359555120 843776549559 937529499510 1000031466144 1041699443900 1125035399412 1250039332680 1302124304875 1333375288192 1406294249265 1500047199216 1562549165850 1666719110240 1687553099118 1875058999020 2000062932288 2083398887800 2250070798824 2343823748775 2500078665360 2604248609750 2812588498530 3000094398432 3125098331700 3333438220480 3375106198236 3750117998040 3906372914625 4000125864576 4166797775600 4218882747795 4500141597648 4687647497550 5000157330720 5208497219500 5625176997060 6000188796864 6250196663400 6666876440960 6750212396472 7031471246325 7500235996080 7812745829250 8333595551200 8437765495590 9000283195296 9375294995100 10000314661440 10416994439000 11250353994120 11719118743875 12000377593728 12500393326800 13500424792944 14062942492650 15000471992160 15625491658500 16667191102400 16875530991180 18000566390592 18750589990200 20000629322880 20833988878000 21094413738975 22500707988240 23438237487750 25000786653600 27000849585888 28125884985300 30000943984320 31250983317000 33334382204800 33751061982360 35157356231625 36001132781184 37501179980400 41667977756000 42188827477950 45001415976480 46876474975500 50001573307200 54001699171776 56251769970600 60001887968640 62501966634000 67502123964720 70314712463250 75002359960800 83335955512000 84377654955900 90002831952960 93752949951000 100003146614400 105472068694875 108003398343552 112503539941200 125003933268000 135004247929440 140629424926500 150004719921600 166671911024000 168755309911800 180005663905920 187505899902000 210944137389750 225007079882400 250007866536000 270008495858880 281258849853000 300009439843200 337510619823600 375011799804000 421888274779500 450014159764800 500015733072000 540016991717760 562517699706000 675021239647200 750023599608000 843776549559000 900028319529600 1125035399412000 1350042479294400 1500047199216000 1687553099118000 2250070798824000 2700084958588800 3375106198236000 4500141597648000 6750212396472000 13500424792944000
• Sum of all divisors σ(n): 50140952697607200
• Sum of proper divisors (its aliquot sum) s(n): 36640527904663200
• 13500424792944000 is an abundant number, because the sum of its proper divisors (36640527904663200) is greater than itself. Its abundance is 23140103111719200

Bases of 13500424792944000

• Binary: 101111111101101001000010011000000110011010110110000000₂
• Hexadecimal: 0x2FF6909819AD80
• Base-36: 3OXI1J32W00

Squares and roots of 13500424792944000

• 13500424792944000 squared (13500424792944000²) is 182261469589937045272187136000000
• 13500424792944000 cubed (13500424792944000³) is 2460607262850394987004762169654820368384000000000
• The square root of 13500424792944000 is 116191328.3896177857
• The cube root of 13500424792944000 is 238112.6552385395

Scales and comparisons

• 13,500,424,792,944,000 seconds is equal to 429,271,748 years, 44 weeks, 5 days.
• To count from 1 to 13,500,424,792,944,000 would take you about one billion, two hundred eighty-seven million, eight hundred fifteen thousand, two hundred forty-six 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 13500424792944000 cubic inches would be around 19842.7 feet tall.

Recreational maths with 13500424792944000

• 13500424792944000 backwards is 00044929742400531
• 13500424792944000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13500424792944000's digits is 54
• More coming soon!