137983858738768

Names of 137983858738768

• Cardinal: 137983858738768 can be written as One hundred thirty-seven trillion, nine hundred eighty-three billion, eight hundred fifty-eight million, seven hundred thirty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37983858738768 × 10¹⁴

Factors of 137983858738768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 1886

Divisors of 137983858738768

• Number of divisors d(n): 180
• Complete list of divisors:
  1 2 4 7 8 14 16 19 28 38 56 76 112 133 149 152 266 298 304 532 596 1043 1064 1192 1709 2086 2128 2384 2831 3418 4172 5662 6836 8344 11324 11963 13672 16688 19817 22201 22648 23926 27344 32471 39634 44402 45296 47852 64942 79268 88804 95704 129884 155407 158536 177608 191408 227297 254641 259768 310814 317072 355216 421819 454594 509282 519536 621628 843638 909188 1018564 1243256 1687276 1782487 1818376 2037128 2486512 2920681 2952733 3374552 3564974 3636752 4074256 4838179 5841362 5905466 6749104 7129948 9676358 11682724 11810932 14259896 19352716 20444767 23365448 23621864 28519792 33867253 37941509 38705432 40889534 46730896 47243728 55492939 67734506 75883018 77410864 81779068 110985878 135469012 151766036 163558136 221971756 265590563 270938024 303532072 327116272 388450573 435181469 443943512 531181126 541876048 607064144 720888671 776901146 870362938 887887024 1062362252 1441777342 1553802292 1740725876 2124724504 2883554684 3046270283 3107604584 3481451752 4249449008 5046220697 5767109368 6092540566 6215209168 6962903504 8268447911 10092441394 11534218736 12185081132 16536895822 20184882788 24370162264 33073791644 40369765576 48740324528 57879135377 64842038881 66147583288 80739531152 115758270754 129684077762 132295166576 231516541508 259368155524 453894272167 463033083016 518736311048 907788544334 926066166032 1037472622096 1231998738739 1815577088668 2463997477478 3631154177336 4927994954956 7262308354672 8623991171173 9855989909912 17247982342346 19711979819824 34495964684692 68991929369384 137983858738768
• Sum of all divisors σ(n): 323979071755360
• Sum of proper divisors (its aliquot sum) s(n): 185995213016592
• 137983858738768 is an abundant number, because the sum of its proper divisors (185995213016592) is greater than itself. Its abundance is 48011354277824

Bases of 137983858738768

• Binary: 11111010111111011011110111000101000011001010000₂
• Hexadecimal: 0x7D7EDEE28650
• Base-36: 1CWSWQUSLS

Squares and roots of 137983858738768

• 137983858738768 squared (137983858738768²) is 19039545272440282159666157824
• 137983858738768 cubed (137983858738768³) is 2627149925322777988829470819124653075320832
• The square root of 137983858738768 is 11746653.0866782645
• The cube root of 137983858738768 is 51674.4776533735

Scales and comparisons

• 137,983,858,738,768 seconds is equal to 4,387,459 years, 46 weeks, 4 days, 1 hour, 39 minutes, 28 seconds.
• To count from 1 to 137,983,858,738,768 would take you about ten million, nine hundred sixty-eight thousand, six hundred forty-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 137983858738768 cubic inches would be around 4306.2 feet tall.

Recreational maths with 137983858738768

• 137983858738768 backwards is 867837858389731
• The number of decimal digits it has is: 15
• The sum of 137983858738768's digits is 91
• More coming soon!