137438208

Names of 137438208

• Cardinal: 137438208 can be written as One hundred thirty-seven million, four hundred thirty-eight thousand, two hundred eight.

Scientific notation

• Scientific notation: 1.37438208 × 10⁸

Factors of 137438208

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1662

Divisors of 137438208

• Number of divisors d(n): 110
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1657 1728 2304 2592 3072 3314 3456 4608 4971 5184 6628 6912 9216 9942 10368 13256 13824 14913 19884 20736 26512 27648 29826 39768 41472 44739 53024 59652 79536 82944 89478 106048 119304 134217 159072 178956 212096 238608 268434 318144 357912 424192 477216 536868 636288 715824 848384 954432 1073736 1272576 1431648 1696768 1908864 2147472 2545152 2863296 3817728 4294944 5090304 5726592 7635456 8589888 11453184 15270912 17179776 22906368 34359552 45812736 68719104 137438208
• Sum of all divisors σ(n): 410665046
• Sum of proper divisors (its aliquot sum) s(n): 273226838
• 137438208 is an abundant number, because the sum of its proper divisors (273226838) is greater than itself. Its abundance is 135788630

Bases of 137438208

• Binary: 1000001100010010010000000000₂
• Hexadecimal: 0x8312400
• Base-36: 29TS00

Squares and roots of 137438208

• 137438208 squared (137438208²) is 18889261018251264
• 137438208 cubed (137438208³) is 2596106184792709017894912
• The square root of 137438208 is 11723.4042837397
• The cube root of 137438208 is 516.0627289883

Scales and comparisons

• 137,438,208 seconds is equal to 4 years, 19 weeks, 1 day, 17 hours, 16 minutes, 48 seconds.
• To count from 1 to 137,438,208 would take you about six 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 137438208 cubic inches would be around 43 feet tall.

Recreational maths with 137438208

• 137438208 backwards is 802834731
• 137438208 is a Harshad number.
• The number of decimal digits it has is: 9
• The sum of 137438208's digits is 36
• More coming soon!