640461870929984000

Names of 640461870929984000

• Cardinal: 640461870929984000 can be written as Six hundred forty quadrillion, four hundred sixty-one trillion, eight hundred seventy billion, nine hundred twenty-nine million, nine hundred eighty-four thousand.

Scientific notation

• Scientific notation: 6.40461870929984 × 10¹⁷

Factors of 640461870929984000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2774391397

Divisors of 640461870929984000

• Number of divisors d(n): 160
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1280 1600 2000 2560 3200 3607 4000 6400 7214 8000 12800 14428 16000 18035 28856 32000 36070 57712 64000 72140 90175 115424 144280 180350 230848 288560 360700 450875 461696 577120 721400 901750 923392 1154240 1442800 1803500 1846784 2308480 2885600 3607000 4616960 5771200 7214000 9233920 11542400 14428000 23084800 28856000 46169600 57712000 115424000 230848000 2774387783 5548775566 11097551132 13871938915 22195102264 27743877830 44390204528 55487755660 69359694575 88780409056 110975511320 138719389150 177560818112 221951022640 277438778300 346798472875 355121636224 443902045280 554877556600 693596945750 710243272448 887804090560 1109755113200 1387193891500 1420486544896 1775608181120 2219510226400 2774387783000 3551216362240 4439020452800 5548775566000 7102432724480 8878040905600 10007216733281 11097551132000 17756081811200 20014433466562 22195102264000 35512163622400 40028866933124 44390204528000 50036083666405 80057733866248 88780409056000 100072167332810 160115467732496 177560818112000 200144334665620 250180418332025 320230935464992 400288669331240 500360836664050 640461870929984 800577338662480 1000721673328100 1250902091660125 1280923741859968 1601154677324960 2001443346656200 2501804183320250 2561847483719936 3202309354649920 4002886693312400 5003608366640500 5123694967439872 6404618709299840 8005773386624800 10007216733281000 12809237418599680 16011546773249600 20014433466562000 25618474837199360 32023093546499200 40028866933124000 64046187092998400 80057733866248000 128092374185996800 160115467732496000 320230935464992000 640461870929984000
• Sum of all divisors σ(n): 1597474463604155136
• Sum of proper divisors (its aliquot sum) s(n): 957012592674171136
• 640461870929984000 is an abundant number, because the sum of its proper divisors (957012592674171136) is greater than itself. Its abundance is 316550721744187136

Bases of 640461870929984000

• Binary: 100011100011011000001010110110100100111101101011101000000000₂
• Hexadecimal: 0x8E360ADA4F6BA00
• Base-36: 4V68S9P08MWW

Squares and roots of 640461870929984000

• 640461870929984000 squared (640461870929984000²) is 410191408115135484285030240256000000
• 640461870929984000 cubed (640461870929984000³) is 262711956680824294053092238898236601674235904000000000
• The square root of 640461870929984000 is 800288617.2687850993
• The cube root of 640461870929984000 is 861981.1325706269

Scales and comparisons

• 640,461,870,929,984,000 seconds is equal to 20,364,706,416 years, 48 weeks, 3 days, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 640,461,870,929,984,000 would take you about sixty-one billion, ninety-four million, one hundred nineteen thousand, two hundred fifty 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 640461870929984000 cubic inches would be around 71831.8 feet tall.

Recreational maths with 640461870929984000

• 640461870929984000 backwards is 000489929078164046
• The number of decimal digits it has is: 18
• The sum of 640461870929984000's digits is 77
• More coming soon!