137342219100093756

Names of 137342219100093756

• Cardinal: 137342219100093756 can be written as One hundred thirty-seven quadrillion, three hundred forty-two trillion, two hundred nineteen billion, one hundred million, ninety-three thousand, seven hundred fifty-six.

Scientific notation

• Scientific notation: 1.37342219100093756 × 10¹⁷

Factors of 137342219100093756

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 467406785

Divisors of 137342219100093756

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 97 108 126 189 194 252 291 378 388 582 679 756 873 1164 1358 1746 2037 2619 2716 3492 4007 4074 5238 6111 8014 8148 10476 12021 12222 16028 18333 24042 24444 28049 36063 36666 48084 56098 72126 73332 84147 108189 112196 144252 168294 216378 252441 336588 388679 432756 504882 757323 777358 1009764 1166037 1514646 1554716 2332074 2720753 3029292 3498111 4664148 5441506 6996222 8162259 10494333 10883012 13992444 16324518 20988666 24486777 32649036 41977332 48973554 73460331 97947108 146920662 293841324 467402669 934805338 1402208007 1869610676 2804416014 3271818683 4206624021 5608832028 6543637366 8413248042 9815456049 12619872063 13087274732 16826496084 19630912098 25239744126 29446368147 39261824196 45338058893 50479488252 58892736294 88339104441 90676117786 117785472588 136014176679 176678208882 181352235572 272028353358 317366412251 353356417764 408042530037 544056706716 634732824502 816085060074 952099236753 1224127590111 1269465649004 1632170120148 1872882494683 1904198473506 2448255180222 2856297710259 3745764989366 3808396947012 4896510360444 5618647484049 5712595420518 7491529978732 8568893130777 11237294968098 11425190841036 13110177462781 16855942452147 17137786261554 22474589936196 26220354925562 33711884904294 34275572523108 39330532388343 50567827356441 52440709851124 67423769808588 78661064776686 101135654712882 117991597165029 157322129553372 181669601984251 202271309425764 235983194330058 353974791495087 363339203968502 471966388660116 545008805952753 707949582990174 726678407937004 1090017611905506 1271687213889757 1415899165980348 1635026417858259 2180035223811012 2543374427779514 3270052835716518 3815061641669271 4905079253574777 5086748855559028 6540105671433036 7630123283338542 9810158507149554 11445184925007813 15260246566677084 19620317014299108 22890369850015626 34335554775023439 45780739700031252 68671109550046878 137342219100093756
• Sum of all divisors σ(n): 411237770346547200
• Sum of proper divisors (its aliquot sum) s(n): 273895551246453444
• 137342219100093756 is an abundant number, because the sum of its proper divisors (273895551246453444) is greater than itself. Its abundance is 136553332146359688

Bases of 137342219100093756

• Binary: 111100111111100000000010101000110000111111111110100111100₂
• Hexadecimal: 0x1E7F005461FFD3C
• Base-36: 11KBR4FH6L30

Squares and roots of 137342219100093756

• 137342219100093756 squared (137342219100093756²) is 18862885147338158124187887990187536
• 137342219100093756 cubed (137342219100093756³) is 2590670504765621603542531758267686579027545622625216
• The square root of 137342219100093756 is 370597111.5646933317
• The cube root of 137342219100093756 is 515942.5590317987

Scales and comparisons

• 137,342,219,100,093,756 seconds is equal to 4,367,057,740 years, 2 days, 4 hours, 42 minutes, 36 seconds.
• To count from 1 to 137,342,219,100,093,756 would take you about thirteen billion, one hundred one million, one hundred seventy-three thousand, two hundred twenty 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 137342219100093756 cubic inches would be around 42995.2 feet tall.

Recreational maths with 137342219100093756

• 137342219100093756 backwards is 657390001912243731
• 137342219100093756 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137342219100093756's digits is 63
• More coming soon!