448668717106304

Names of 448668717106304

• Cardinal: 448668717106304 can be written as Four hundred forty-eight trillion, six hundred sixty-eight billion, seven hundred seventeen million, one hundred six thousand, three hundred four.

Scientific notation

• Scientific notation: 4.48668717106304 × 10¹⁴

Factors of 448668717106304

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 479

Divisors of 448668717106304

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 4 8 16 31 32 62 64 67 124 128 134 248 268 379 496 536 758 961 992 1072 1516 1922 1984 2077 2144 3032 3844 3968 4154 4288 6064 7688 8308 8576 11749 12128 15376 16616 23498 24256 25393 30752 33232 46996 48512 50786 61504 64387 66464 93992 101572 123008 128774 132928 143641 187984 203144 257548 265856 287282 364219 375968 406288 515096 574564 728438 751936 787183 812576 1030192 1149128 1456876 1503872 1574366 1625152 2060384 2298256 2913752 3148732 3250304 4120768 4452871 4596512 5827504 6297464 8241536 8905742 9193024 9623947 11655008 12594928 17811484 18386048 19247894 23310016 24402673 25189856 35622968 38495788 46620032 48805346 50379712 54439939 71245936 76991576 97610692 100759424 108879878 138039001 142491872 153983152 195221384 217759756 276078002 284983744 298342357 307966304 390442768 435519512 552156004 569967488 596684714 615932608 780885536 871039024 1104312008 1193369428 1231865216 1561771072 1687638109 1742078048 2208624016 2386738856 3123542144 3375276218 3484156096 3647475913 4417248032 4773477712 6750552436 6968312192 7294951826 8834496064 9248613067 9546955424 13501104872 14589903652 17668992128 18497226134 19093910848 27002209744 29179807304 36994452268 38187821696 52316781379 54004419488 58359614608 73988904536 104633562758 108008838976 113071753303 116719229216 147977809072 209267125516 216017677952 226143506606 233438458432 295955618144 418534251032 452287013212 466876916864 591911236288 837068502064 904574026424 1183822472576 1674137004128 1809148052848 3348274008256 3505224352393 3618296105696 6696548016512 7010448704786 7236592211392 14020897409572 14473184422784 28041794819144 56083589638288 112167179276576 224334358553152 448668717106304
• Sum of all divisors σ(n): 939860465335200
• Sum of proper divisors (its aliquot sum) s(n): 491191748228896
• 448668717106304 is an abundant number, because the sum of its proper divisors (491191748228896) is greater than itself. Its abundance is 42523031122592

Bases of 448668717106304

• Binary: 1100110000000111111010011100000010100010010000000₂
• Hexadecimal: 0x1980FD3814480
• Base-36: 4F1FK9VR7K

Squares and roots of 448668717106304

• 448668717106304 squared (448668717106304²) is 201303617709816647595236540416
• 448668717106304 cubed (448668717106304³) is 90318635906721293358820262805929391464382464
• The square root of 448668717106304 is 21181801.5547852775
• The cube root of 448668717106304 is 76555.3001041135

Scales and comparisons

• 448,668,717,106,304 seconds is equal to 14,266,277 years, 19 weeks, 5 days, 12 hours, 11 minutes, 44 seconds.
• To count from 1 to 448,668,717,106,304 would take you about thirty-five million, six hundred sixty-five thousand, six 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 448668717106304 cubic inches would be around 6379.6 feet tall.

Recreational maths with 448668717106304

• 448668717106304 backwards is 403601717866844
• The number of decimal digits it has is: 15
• The sum of 448668717106304's digits is 65
• More coming soon!