12668848594432800

Names of 12668848594432800

• Cardinal: 12668848594432800 can be written as Twelve quadrillion, six hundred sixty-eight trillion, eight hundred forty-eight billion, five hundred ninety-four million, four hundred thirty-two thousand, eight hundred.

Scientific notation

• Scientific notation: 1.26688485944328 × 10¹⁶

Factors of 12668848594432800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 68554375539

Divisors of 12668848594432800

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 50 55 56 60 66 70 75 77 80 84 88 96 100 105 110 112 120 132 140 150 154 160 165 168 175 176 200 210 220 224 231 240 264 275 280 300 308 330 336 350 352 385 400 420 440 462 480 525 528 550 560 600 616 660 672 700 770 800 825 840 880 924 1050 1056 1100 1120 1155 1200 1232 1320 1400 1540 1650 1680 1760 1848 1925 2100 2200 2310 2400 2464 2640 2800 3080 3300 3360 3696 3850 4200 4400 4620 5280 5600 5775 6160 6600 7392 7700 8400 8800 9240 11550 12320 13200 15400 16800 18480 23100 26400 30800 36960 46200 61600 92400 184800 68554375511 137108751022 205663126533 274217502044 342771877555 411326253066 479880628577 548435004088 685543755110 754098130621 822652506132 959761257154 1028315632665 1096870008176 1371087510220 1439641885731 1508196261242 1645305012264 1713859387775 1919522514308 2056631265330 2193740016352 2262294391863 2399403142885 2742175020440 2879283771462 3016392522484 3290610024528 3427718775550 3770490653105 3839045028616 4113262530660 4524588783726 4798806285770 5141578163325 5278686914347 5484350040880 5758567542924 6032785044968 6581220049056 6855437551100 7198209428655 7540981306210 7678090057232 8226525061320 9049177567452 9597612571540 10283156326650 10557373828694 10968700081760 11311471959315 11517135085848 11997015714425 12065570089936 13710875102200 14396418857310 15081962612420 15356180114464 15836060743041 16453050122640 18098355134904 18852453265525 19195225143080 20566312653300 21114747657388 22622943918630 23034270171696 23994031428850 24131140179872 26393434571735 27421750204400 28792837714620 30163925224840 31672121486082 32906100245280 35991047143275 36196710269808 37704906531050 38390450286160 41132625306600 42229495314776 45245887837260 46068540343392 47988062857700 52786869143470 54843500408800 56557359796575 57585675429240 60327850449680 63344242972164 71982094286550 72393420539616 75409813062100 76780900572320 79180303715205 82265250613200 84458990629552 90491775674520 95976125715400 105573738286940 113114719593150 115171350858480 120655700899360 126688485944328 131967172858675 143964188573100 150819626124200 158360607430410 164530501226400 168917981259104 180983551349040 191952251430800 211147476573880 226229439186300 230342701716960 253376971888656 263934345717350 287928377146200 301639252248400 316721214860820 361967102698080 383904502861600 395901518576025 422294953147760 452458878372600 506753943777312 527868691434700 575856754292400 603278504496800 633442429721640 791803037152050 844589906295520 904917756745200 1055737382869400 1151713508584800 1266884859443280 1583606074304100 1809835513490400 2111474765738800 2533769718886560 3167212148608200 4222949531477600 6334424297216400 12668848594432800
• Sum of all divisors σ(n): 51412491023975424
• Sum of proper divisors (its aliquot sum) s(n): 38743642429542624
• 12668848594432800 is an abundant number, because the sum of its proper divisors (38743642429542624) is greater than itself. Its abundance is 26074793835109824

Bases of 12668848594432800

• Binary: 101101000000100100000000101100001011110011001100100000₂
• Hexadecimal: 0x2D02402C2F3320
• Base-36: 3GQQCP55BMO

Squares and roots of 12668848594432800

• 12668848594432800 squared (12668848594432800²) is 160499724708661932179153715840000
• 12668848594432800 cubed (12668848594432800³) is 2033346711782183059963103793276597257175552000000
• The square root of 12668848594432800 is 112555979.8252975985
• The cube root of 12668848594432800 is 233119.7392400769

Scales and comparisons

• 12,668,848,594,432,800 seconds is equal to 402,830,197 years, 51 weeks, 4 hours, 40 minutes.
• To count from 1 to 12,668,848,594,432,800 would take you about one billion, two hundred eight million, four hundred ninety thousand, five hundred ninety-three 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 12668848594432800 cubic inches would be around 19426.6 feet tall.

Recreational maths with 12668848594432800

• 12668848594432800 backwards is 00823449584886621
• The number of decimal digits it has is: 17
• The sum of 12668848594432800's digits is 78
• More coming soon!