137975416416

Names of 137975416416

• Cardinal: 137975416416 can be written as One hundred thirty-seven billion, nine hundred seventy-five million, four hundred sixteen thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 1.37975416416 × 10¹¹

Factors of 137975416416

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 12642

Divisors of 137975416416

• Number of divisors d(n): 72
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 12637 25274 37911 50548 75822 101096 113733 151644 202192 227466 303288 341199 404384 454932 606576 682398 909864 1213152 1364796 1819728 2729592 3639456 5459184 10918368 159693769 319387538 479081307 638775076 958162614 1277550152 1437243921 1916325228 2555100304 2874487842 3832650456 4311731763 5110200608 5748975684 7665300912 8623463526 11497951368 15330601824 17246927052 22995902736 34493854104 45991805472 68987708208 137975416416
• Sum of all divisors σ(n): 402460145640
• Sum of proper divisors (its aliquot sum) s(n): 264484729224
• 137975416416 is an abundant number, because the sum of its proper divisors (264484729224) is greater than itself. Its abundance is 126509312808

Bases of 137975416416

• Binary: 10000000011111111110011100011001100000₂
• Hexadecimal: 0x201FF9C660
• Base-36: 1RDV00O0

Squares and roots of 137975416416

• 137975416416 squared (137975416416²) is 19037215535168602285056
• 137975416416 cubed (137975416416³) is 2626667740866032193049290733879296
• The square root of 137975416416 is 371450.4225546119
• The cube root of 137975416416 is 5167.3423758325

Scales and comparisons

• 137,975,416,416 seconds is equal to 4,387 years, 9 weeks, 6 days, 16 hours, 33 minutes, 36 seconds.
• To count from 1 to 137,975,416,416 would take you about eight thousand, seven hundred seventy-four 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 137975416416 cubic inches would be around 430.6 feet tall.

Recreational maths with 137975416416

• 137975416416 backwards is 614614579731
• 137975416416 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137975416416's digits is 54
• More coming soon!