3966906768000

Names of 3966906768000

• Cardinal: 3966906768000 can be written as Three trillion, nine hundred sixty-six billion, nine hundred six million, seven hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 3.966906768 × 10¹²

Factors of 3966906768000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2762

Divisors of 3966906768000

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 125 128 132 150 160 165 176 192 200 220 240 250 264 275 300 320 330 352 375 384 400 440 480 500 528 550 600 640 660 704 750 800 825 880 960 1000 1056 1100 1200 1320 1375 1408 1500 1600 1650 1760 1920 2000 2112 2200 2400 2640 2741 2750 3000 3200 3300 3520 4000 4125 4224 4400 4800 5280 5482 5500 6000 6600 7040 8000 8223 8250 8800 9600 10560 10964 11000 12000 13200 13705 16000 16446 16500 17600 21120 21928 22000 24000 26400 27410 30151 32892 33000 35200 41115 43856 44000 48000 52800 54820 60302 65784 66000 68525 82230 87712 88000 90453 105600 109640 120604 131568 132000 137050 150755 164460 175424 176000 180906 205575 219280 241208 263136 264000 274100 301510 328920 342625 350848 361812 411150 438560 452265 482416 526272 528000 548200 603020 657840 685250 723624 753775 822300 877120 904530 964832 1027875 1052544 1096400 1206040 1315680 1370500 1447248 1507550 1644600 1754240 1809060 1929664 2055750 2192800 2261325 2412080 2631360 2741000 2894496 3015100 3289200 3618120 3768875 3859328 4111500 4385600 4522650 4824160 5262720 5482000 5788992 6030200 6578400 7236240 7513081 7537750 8223000 8771200 9045300 9648320 10964000 11306625 11577984 12060400 13156800 14472480 15026162 15075500 16446000 18090600 19296640 21928000 22539243 22613250 24120800 26313600 28944960 30052324 30151000 32892000 36181200 37565405 43856000 45078486 45226500 48241600 57889920 60104648 60302000 65784000 72362400 75130810 82643891 90156972 90453000 96483200 112696215 120209296 120604000 131568000 144724800 150261620 165287782 180313944 180906000 187827025 225392430 240418592 241208000 247931673 289449600 300523240 330575564 360627888 361812000 375654050 413219455 450784860 480837184 482416000 495863346 563481075 601046480 661151128 721255776 723624000 751308100 826438910 901569720 939135125 961674368 991726692 1126962150 1202092960 1239658365 1322302256 1442511552 1447248000 1502616200 1652877820 1803139440 1878270250 1983453384 2066097275 2253924300 2404185920 2479316730 2644604512 2817405375 2885023104 3005232400 3305755640 3606278880 3756540500 3966906768 4132194550 4507848600 4808371840 4958633460 5289209024 5634810750 6010464800 6198291825 6611511280 7212557760 7513081000 7933813536 8264389100 9015697200 9917266920 10330486375 10578418048 11269621500 12020929600 12396583650 13223022560 14425115520 15026162000 15867627072 16528778200 18031394400 19834533840 20660972750 22539243000 24041859200 24793167300 26446045120 30052324000 30991459125 31735254144 33057556400 36062788800 39669067680 41321945500 45078486000 49586334600 52892090240 60104648000 61982918250 66115112800 72125577600 79338135360 82643891000 90156972000 99172669200 120209296000 123965836500 132230225600 158676270720 165287782000 180313944000 198345338400 247931673000 264460451200 330575564000 360627888000 396690676800 495863346000 661151128000 793381353600 991726692000 1322302256000 1983453384000 3966906768000
• Sum of all divisors σ(n): 14351013069120
• Sum of proper divisors (its aliquot sum) s(n): 10384106301120
• 3966906768000 is an abundant number, because the sum of its proper divisors (10384106301120) is greater than itself. Its abundance is 6417199533120

Bases of 3966906768000

• Binary: 111001101110011110000100011001101010000000₂
• Hexadecimal: 0x39B9E119A80
• Base-36: 1EMDDV7UO

Squares and roots of 3966906768000

• 3966906768000 squared (3966906768000²) is 15736349306004205824000000
• 3966906768000 cubed (3966906768000³) is 62424630565600187119690616832000000000
• The square root of 3966906768000 is 1991709.5089394939
• The cube root of 3966906768000 is 15830.1123758213

Scales and comparisons

• 3,966,906,768,000 seconds is equal to 126,135 years, 18 weeks, 6 days, 18 hours, 40 minutes.
• To count from 1 to 3,966,906,768,000 would take you about three hundred fifteen thousand, three 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 3966906768000 cubic inches would be around 1319.2 feet tall.

Recreational maths with 3966906768000

• 3966906768000 backwards is 0008676096693
• 3966906768000 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 3966906768000's digits is 60
• More coming soon!