137218319536608

Names of 137218319536608

• Cardinal: 137218319536608 can be written as One hundred thirty-seven trillion, two hundred eighteen billion, three hundred nineteen million, five hundred thirty-six thousand, six hundred eight.

Scientific notation

• Scientific notation: 1.37218319536608 × 10¹⁴

Factors of 137218319536608

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 20715326045

Divisors of 137218319536608

• Number of divisors d(n): 72
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 20715326017 41430652034 62145978051 82861304068 124291956102 165722608136 186437934153 248583912204 331445216272 372875868306 476452498391 497167824408 662890432544 745751736612 952904996782 994335648816 1429357495173 1491503473224 1905809993564 1988671297632 2858714990346 2983006946448 3811619987128 4288072485519 5717429980692 5966013892896 7623239974256 8576144971038 11434859961384 15246479948512 17152289942076 22869719922768 34304579884152 45739439845536 68609159768304 137218319536608
• Sum of all divisors σ(n): 407180448209808
• Sum of proper divisors (its aliquot sum) s(n): 269962128673200
• 137218319536608 is an abundant number, because the sum of its proper divisors (269962128673200) is greater than itself. Its abundance is 132743809136592

Bases of 137218319536608

• Binary: 11111001100110010100001001100010101000111100000₂
• Hexadecimal: 0x7CCCA13151E0
• Base-36: 1CN184KVS0

Squares and roots of 137218319536608

• 137218319536608 squared (137218319536608²) is 18828867216450656731852145664
• 137218319536608 cubed (137218319536608³) is 2583665518219289042475939192122934996467712
• The square root of 137218319536608 is 11714022.3465984561
• The cube root of 137218319536608 is 51578.7364485265

Scales and comparisons

• 137,218,319,536,608 seconds is equal to 4,363,118 years, 6 weeks, 15 hours, 16 minutes, 48 seconds.
• To count from 1 to 137,218,319,536,608 would take you about ten million, nine hundred seven thousand, seven hundred ninety-five 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 137218319536608 cubic inches would be around 4298.2 feet tall.

Recreational maths with 137218319536608

• 137218319536608 backwards is 806635913812731
• The number of decimal digits it has is: 15
• The sum of 137218319536608's digits is 63
• More coming soon!