450872474126976

Names of 450872474126976

• Cardinal: 450872474126976 can be written as Four hundred fifty trillion, eight hundred seventy-two billion, four hundred seventy-four million, one hundred twenty-six thousand, nine hundred seventy-six.

Scientific notation

• Scientific notation: 4.50872474126976 × 10¹⁴

Factors of 450872474126976

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 10880760

Divisors of 450872474126976

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 3271 4224 6336 6542 9813 12672 13084 19626 26168 29439 35981 39252 52336 58878 71962 78504 104672 107943 117756 143924 157008 209344 215886 235512 287848 314016 323829 418688 431772 471024 575696 628032 647658 863544 942048 1151392 1256064 1295316 1727088 1884096 2302784 2590632 3454176 3768192 4605568 5181264 6908352 10362528 10877473 13816704 20725056 21754946 32632419 41450112 43509892 65264838 87019784 97897257 119652203 130529676 174039568 195794514 239304406 261059352 348079136 358956609 391589028 478608812 522118704 696158272 717913218 783178056 957217624 1044237408 1076869827 1392316544 1435826436 1566356112 1914435248 2088474816 2153739654 2871652872 3132712224 3828870496 4176949632 4307479308 5743305744 6265424448 7657740992 8614958616 11486611488 12530848896 15315481984 17229917232 22973222976 34459834464 35580214183 45946445952 68919668928 71160428366 106740642549 137839337856 142320856732 213481285098 284641713464 320221927647 391382356013 426962570196 569283426928 640443855294 782764712026 853925140392 1138566853856 1174147068039 1280887710588 1565529424052 1707850280784 2277133707712 2348294136078 2561775421176 3131058848104 3415700561568 3522441204117 4554267415424 4696588272156 5123550842352 6262117696208 6831401123136 7044882408234 9393176544312 10247101684704 12524235392416 13662802246272 14089764816468 18786353088624 20494203369408 25048470784832 28179529632936 37572706177248 40988406738816 50096941569664 56359059265872 75145412354496 112718118531744 150290824708992 225436237063488 450872474126976
• Sum of all divisors σ(n): 1415813756235840
• Sum of proper divisors (its aliquot sum) s(n): 964941282108864
• 450872474126976 is an abundant number, because the sum of its proper divisors (964941282108864) is greater than itself. Its abundance is 514068807981888

Bases of 450872474126976

• Binary: 1100110100001000011101101101010001100101010000000₂
• Hexadecimal: 0x19A10EDA8CA80
• Base-36: 4FTJYDWV40

Squares and roots of 450872474126976

• 450872474126976 squared (450872474126976²) is 203285987925380642533370904576
• 450872474126976 cubed (450872474126976³) is 91656056331262939293543699772116345003442176
• The square root of 450872474126976 is 21233757.8899020133
• The cube root of 450872474126976 is 76680.4360931733

Scales and comparisons

• 450,872,474,126,976 seconds is equal to 14,336,350 years, 1 week, 6 days, 12 hours, 9 minutes, 36 seconds.
• To count from 1 to 450,872,474,126,976 would take you about thirty-five million, eight hundred forty thousand, eight hundred seventy-five 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 450872474126976 cubic inches would be around 6390 feet tall.

Recreational maths with 450872474126976

• 450872474126976 backwards is 679621474278054
• 450872474126976 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 450872474126976's digits is 72
• More coming soon!