138520973105099177984

Names of 138520973105099177984

• Cardinal: 138520973105099177984 can be written as One hundred thirty-eight quintillion, five hundred twenty quadrillion, nine hundred seventy-three trillion, one hundred five billion, ninety-nine million, one hundred seventy-seven thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.38520973105099177984 × 10²⁰

Factors of 138520973105099177984

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 40425

Divisors of 138520973105099177984

• Number of divisors d(n): 66
• Complete list of divisors:
  1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 40423 65536 80846 131072 161692 262144 323384 524288 646768 1048576 1293536 2097152 2587072 5174144 10348288 20696576 41393152 82786304 165572608 331145216 662290432 1324580864 1634018929 2649161728 3268037858 5298323456 6536075716 10596646912 13072151432 21193293824 26144302864 42386587648 52288605728 84773175296 104577211456 209154422912 418308845824 836617691648 1673235383296 3346470766592 6692941533184 13385883066368 26771766132736 53543532265472 107087064530944 214174129061888 428348258123776 856696516247552 1713393032495104 3426786064990208
• Sum of all divisors σ(n): 138524400059080653735
• Sum of proper divisors (its aliquot sum) s(n): 3426953981475751
• 138520973105099177984 is a deficient number, because the sum of its proper divisors (3426953981475751) is less than itself. Its deficiency is 138517546151117702233

Bases of 138520973105099177984

• Binary: 1111000001001011101010110110001111110011110111000000000000000000000₂
• Hexadecimal: 0x7825D5B1F9EE00000
• Base-36: T8F0YU85WNF28

Squares and roots of 138520973105099177984

• 138520973105099177984 squared (138520973105099177984²) is 19188059989983609802733554076912510304256
• 138520973105099177984 cubed (138520973105099177984³) is 2657948741811549215981946634382338692876383906751235336699904
• The square root of 138520973105099177984 is 11769493324.0602663583
• 138520973105099177984 is a perfect cube number. Its cube root is 5174144

Scales and comparisons

• 138,520,973,105,099,177,984 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,520,973,105,099,177,984 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138520973105099177984 cubic inches would be around 431178.7 feet tall.

Recreational maths with 138520973105099177984

• 138520973105099177984 backwards is 489771990501379025831
• The number of decimal digits it has is: 21
• The sum of 138520973105099177984's digits is 98
• More coming soon!