137648953775025

Names of 137648953775025

• Cardinal: 137648953775025 can be written as One hundred thirty-seven trillion, six hundred forty-eight billion, nine hundred fifty-three million, seven hundred seventy-five thousand and twenty-five.

Scientific notation

• Scientific notation: 1.37648953775025 × 10¹⁴

Factors of 137648953775025

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 38107

Divisors of 137648953775025

• Number of divisors d(n): 384
• Complete list of divisors:
  1 3 5 7 9 11 15 21 25 27 33 35 45 55 63 75 77 99 105 135 165 175 189 225 231 251 275 281 297 315 385 495 525 675 693 753 825 843 945 1155 1255 1405 1485 1575 1757 1925 1967 2079 2259 2475 2529 2761 3091 3465 3765 4215 4725 5271 5775 5901 6275 6777 7025 7425 7587 8283 8785 9273 9835 10395 11295 12645 13805 15455 15813 17325 17703 18825 19327 21075 21637 24849 26355 27819 29505 33885 37549 37935 41415 43925 46365 47439 49175 51975 53109 56475 57981 63225 64911 69025 70531 74547 77275 79065 83457 88515 96635 108185 112647 124245 131775 139095 147525 169425 173943 187745 189675 194733 207075 211593 231825 237195 262843 265545 289905 324555 337941 352655 372735 395325 413039 417285 442575 483175 493717 521829 540925 563235 584199 621225 634779 695475 775841 788529 869715 938725 973665 1013823 1057965 1185975 1239117 1314215 1327725 1449525 1481151 1622775 1689705 1763275 1863675 1904337 2065195 2086425 2327523 2365587 2468585 2609145 2816175 2891273 2920995 3173895 3717351 3879205 3942645 4348575 4443453 4868325 5069115 5289825 5430887 6195585 6571075 6982569 7096761 7405755 8448525 8673819 9424799 9521685 10325975 10551269 11152053 11637615 11827935 12342925 13045725 13330359 14456365 14604975 15869475 16292661 18586755 19396025 19713225 20947707 22217265 25345575 26021457 27154435 28274397 30977925 31653807 34912845 35483805 37028775 43369095 47123995 47608425 48877983 52756345 55760265 58188075 59139675 65973593 66651795 72281825 73858883 78064371 81463305 84823191 92933775 94961421 103672789 104738535 111086325 116063959 130107285 135772175 141371985 146633949 158269035 174564225 177419025 197920779 216845475 221576649 235619975 244389915 254469573 263781725 278801325 284884263 311018367 329867965 333258975 348191877 369294415 390321855 407316525 424115955 474807105 518363945 523692675 580319795 593762337 650536425 664729947 706859925 725709523 733169745 791345175 812447713 933055101 989603895 1044575631 1107883245 1221949575 1272347865 1424421315 1555091835 1649339825 1740959385 1781287011 1846472075 1951609275 1994189841 2120579775 2177128569 2374035525 2437343139 2591819725 2648368519 2799165303 2901598975 2968811685 3133726893 3323649735 3628547615 3665848725 4062238565 4665275505 4948019475 5222878155 5539416225 6361739325 6531385707 7122106575 7312029417 7775459175 7945105557 8704796925 8906435055 9970949205 10885642845 12186715695 13241842595 13995826515 14844058425 15668634465 16618248675 18142738075 18538579633 19594157121 20311192825 21936088251 23326377525 23835316671 26114390775 29132053709 32656928535 36560147085 39725527785 44532175275 49854746025 54428214225 55615738899 60933578475 66209212975 69979132575 71505950013 78343172325 87396161127 92692898165 97970785605 109680441255 119176583355 145660268545 163284642675 166847216697 182800735425 198627638925 203924375963 262188483381 278078694495 357529750065 436980805635 463464490825 489853928025 500541650091 548402206275 595882916775 611773127889 728301342725 786565450143 834236083485 1019621879815 1310942416905 1390393472475 1787648750325 1835319383667 2184904028175 2502708250455 3058865639445 3932827250715 4171180417425 5098109399075 5505958151001 6554712084525 9176596918335 12513541252275 15294328197225 19664136253575 27529790755005 45882984591675 137648953775025
• Sum of all divisors σ(n): 317652668928000
• Sum of proper divisors (its aliquot sum) s(n): 180003715152975
• 137648953775025 is an abundant number, because the sum of its proper divisors (180003715152975) is greater than itself. Its abundance is 42354761377950

Bases of 137648953775025

• Binary: 11111010011000011100100111111100101001110110001₂
• Hexadecimal: 0x7D30E4FE53B1
• Base-36: 1CSJ2134Q9

Squares and roots of 137648953775025

• 137648953775025 squared (137648953775025²) is 18947234475358969198313750625
• 137648953775025 cubed (137648953775025³) is 2608067002463246808572222241957460203140625
• The square root of 137648953775025 is 11732389.0906765021
• The cube root of 137648953775025 is 51632.6368673635

Scales and comparisons

• 137,648,953,775,025 seconds is equal to 4,376,810 years, 49 weeks, 4 days, 5 hours, 3 minutes, 45 seconds.
• To count from 1 to 137,648,953,775,025 would take you about ten million, nine hundred forty-two thousand and twenty-seven 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 137648953775025 cubic inches would be around 4302.7 feet tall.

Recreational maths with 137648953775025

• 137648953775025 backwards is 520577359846731
• The number of decimal digits it has is: 15
• The sum of 137648953775025's digits is 72
• More coming soon!