40401088440048400

Names of 40401088440048400

• Cardinal: 40401088440048400 can be written as Forty quadrillion, four hundred one trillion, eighty-eight billion, four hundred forty million, forty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 4.04010884400484 × 10¹⁶

Factors of 40401088440048400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 436987

Divisors of 40401088440048400

• Number of divisors d(n): 135
• Complete list of divisors:
  1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 529 575 920 1058 1150 1840 2116 2300 2645 4232 4600 5290 8464 9200 10580 13225 21160 26450 42320 52900 105800 211600 436957 873914 1747828 2184785 3495656 4369570 6991312 8739140 10050011 10923925 17478280 20100022 21847850 34956560 40200044 43695700 50250055 80400088 87391400 100500110 160800176 174782800 201000220 231150253 251250275 402000440 462300506 502500550 804000880 924601012 1005001100 1155751265 1849202024 2010002200 2311502530 3698404048 4020004400 4623005060 5778756325 9246010120 11557512650 18492020240 23115025300 46230050600 92460101200 190931419849 381862839698 763725679396 954657099245 1527451358792 1909314198490 3054902717584 3818628396980 4391422656527 4773285496225 7637256793960 8782845313054 9546570992450 15274513587920 17565690626108 19093141984900 21957113282635 35131381252216 38186283969800 43914226565270 70262762504432 76372567939600 87828453130540 101002721100121 109785566413175 175656906261080 202005442200242 219571132826350 351313812522160 404010884400484 439142265652700 505013605500605 808021768800968 878284531305400 1010027211001210 1616043537601936 1756569062610800 2020054422002420 2525068027503025 4040108844004840 5050136055006050 8080217688009680 10100272110012100 20200544220024200 40401088440048400
• Sum of all divisors σ(n): 101467489458514431
• Sum of proper divisors (its aliquot sum) s(n): 61066401018466031
• 40401088440048400 is an abundant number, because the sum of its proper divisors (61066401018466031) is greater than itself. Its abundance is 20665312578417631

Bases of 40401088440048400

• Binary: 10001111100010001001001101101101000000100001101100010000₂
• Hexadecimal: 0x8F88936D021B10
• Base-36: B1SZNT00H74

Squares and roots of 40401088440048400

• 40401088440048400 squared (40401088440048400²) is 1632247947140612458960994342560000
• 40401088440048400 cubed (40401088440048400³) is 65944593668515329870890608587119928132579904000000
• 40401088440048400 is a perfect square number. Its square root is 201000220
• The cube root of 40401088440048400 is 343134.4757979183

Scales and comparisons

• 40,401,088,440,048,400 seconds is equal to 1,284,629,643 years, 32 weeks, 2 days, 8 hours, 6 minutes, 40 seconds.
• To count from 1 to 40,401,088,440,048,400 would take you about three billion, eight hundred fifty-three million, eight hundred eighty-eight thousand, nine hundred thirty 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 40401088440048400 cubic inches would be around 28594.5 feet tall.

Recreational maths with 40401088440048400

• 40401088440048400 backwards is 00484004488010404
• The number of decimal digits it has is: 17
• The sum of 40401088440048400's digits is 49
• More coming soon!