135735982939968

Names of 135735982939968

• Cardinal: 135735982939968 can be written as One hundred thirty-five trillion, seven hundred thirty-five billion, nine hundred eighty-two million, nine hundred thirty-nine thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 1.35735982939968 × 10¹⁴

Factors of 135735982939968

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 36193

Divisors of 135735982939968

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 101 102 107 136 192 202 204 214 272 303 321 404 408 428 544 606 642 808 816 856 1088 1212 1284 1616 1632 1712 1717 1819 2424 2568 3232 3264 3424 3434 3638 4848 5136 5151 5457 6464 6848 6868 7276 9696 10272 10302 10807 10914 11449 13736 14552 19392 20544 20604 21614 21828 22898 27472 29104 32421 34347 35963 41208 43228 43656 45796 54944 58208 64842 68694 71926 82416 86456 87312 91592 107889 109888 116416 129684 137388 143852 164832 172912 174624 183184 183719 194633 215778 259368 274776 287704 329664 345824 349248 366368 367438 389266 431556 518736 549552 551157 575408 583899 611371 691648 732736 734876 778532 863112 1037472 1099104 1102314 1150816 1156349 1167798 1222742 1469752 1557064 1726224 1834113 2074944 2198208 2204628 2301632 2312698 2335596 2445484 2939504 3114128 3452448 3469047 3632263 3668226 3848041 4409256 4625396 4671192 4890968 5879008 6228256 6904896 6938094 7264526 7336452 7696082 8818512 9250792 9342384 9781936 10896789 11544123 11758016 12456512 13876188 14529052 14672904 15392164 17637024 18501584 18684768 19563872 19657933 21793578 23088246 27752376 29058104 29345808 30784328 35274048 37003168 37369536 39127744 39315866 43587156 46176492 55504752 58116208 58691616 58973799 61568656 61748471 65416697 74006336 78631732 87174312 92352984 111009504 116232416 117383232 117947598 123137312 123496942 130833394 157263464 174348624 184705968 185245413 196250091 222019008 232464832 235895196 246274624 246993884 261666788 314526928 348697248 369411936 370490826 388652141 392500182 411740387 471790392 493987768 523333576 629053856 697394496 738823872 740981652 777304282 785000364 823480774 943580784 987975536 1046667152 1165956423 1235221161 1258107712 1481963304 1554608564 1570000728 1646961548 1887161568 1975951072 2093334304 2331912846 2470442322 2963926608 3109217128 3140001456 3293923096 3774323136 3951902144 4186668608 4663825692 4940884644 5927853216 6218434256 6280002912 6587846192 6607086397 6999586579 9327651384 9881769288 11855706432 12436868512 12560005824 13175692384 13214172794 13999173158 18655302768 19763538576 19821259191 20998759737 24873737024 26351384768 26428345588 27998346316 37310605536 39527077152 39642518382 41585779087 41997519474 52856691176 55996692632 74621211072 79054154304 79285036764 83171558174 83995038948 105713382352 111993385264 124757337261 158570073528 166343116348 167990077896 211426764704 223986770528 249514674522 317140147056 332686232696 335980155792 422853529408 447973541056 499029349044 634280294112 665372465392 671960311584 706958244479 998058698088 1268560588224 1330744930784 1343920623168 1413916488958 1996117396176 2120874733437 2661489861568 2827832977916 3992234792352 4241749466874 5655665955832 7984469584704 8483498933748 11311331911664 16966997867496 22622663823328 33933995734992 45245327646656 67867991469984 135735982939968
• Sum of all divisors σ(n): 387658661068224
• Sum of proper divisors (its aliquot sum) s(n): 251922678128256
• 135735982939968 is an abundant number, because the sum of its proper divisors (251922678128256) is greater than itself. Its abundance is 116186695188288

Bases of 135735982939968

• Binary: 11110110111001101111111000010111101111101000000₂
• Hexadecimal: 0x7B737F0BDF40
• Base-36: 1C448ZN5MO

Squares and roots of 135735982939968

• 135735982939968 squared (135735982939968²) is 18424257064679283940691841024
• 135735982939968 cubed (135735982939968³) is 2500834642612892185319093967944753991647232
• The square root of 135735982939968 is 11650578.6525806519
• The cube root of 135735982939968 is 51392.3326968589

Scales and comparisons

• 135,735,982,939,968 seconds is equal to 4,315,984 years, 20 weeks, 5 days, 1 hour, 32 minutes, 48 seconds.
• To count from 1 to 135,735,982,939,968 would take you about ten million, seven hundred eighty-nine thousand, nine hundred sixty 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 135735982939968 cubic inches would be around 4282.7 feet tall.

Recreational maths with 135735982939968

• 135735982939968 backwards is 869939289537531
• The number of decimal digits it has is: 15
• The sum of 135735982939968's digits is 87
• More coming soon!