972135868319

Names of 972135868319

• Cardinal: 972135868319 can be written as Nine hundred seventy-two billion, one hundred thirty-five million, eight hundred sixty-eight thousand, three hundred nineteen.

Scientific notation

• Scientific notation: 9.72135868319 × 10¹¹

Factors of 972135868319

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 317

Divisors of 972135868319

• Number of divisors d(n): 192
• Complete list of divisors:
  1 7 11 19 37 61 73 77 109 133 209 259 407 427 511 671 703 763 803 1159 1199 1369 1387 1463 2071 2257 2701 2849 4033 4453 4697 4921 5621 6649 7733 7957 8113 8393 9583 9709 12749 14497 15059 15257 15799 18907 22781 24827 26011 28231 29711 31171 42883 44363 46543 48983 51319 54131 55699 73139 76627 83509 84607 87527 89243 99937 105413 106799 126331 149221 151183 159467 164761 173789 182077 207977 246013 286121 294409 300181 310541 342881 359233 471713 485377 511973 536389 564509 584563 592249 612689 699559 842897 884317 918599 930677 1044547 1058281 1099307 1153327 1389641 1586671 1641431 1663013 1722091 1812371 1898803 2002847 2060863 2706143 2835199 3130459 3238499 3301991 3397639 3951563 4674247 5339147 5593771 5900279 6096157 6430193 6514739 7695149 9102481 9222163 9727487 10893133 11106697 11490017 11641091 12686597 13291621 17453381 17958949 18943001 19846393 20886833 21913213 22669493 31187189 32719729 34435049 37374029 39156397 42673099 51416717 61531481 63717367 64555141 67057727 76251931 100127291 101443793 115826983 119824463 122173667 125712643 146207831 172947139 197548439 206969527 218310323 241045343 341220031 359917019 430720367 469404089 664481113 700891037 710106551 810788881 838771241 1210629973 1274096813 1382839073 1448786689 1902418529 2276664797 2388540217 3753420341 4651367791 7309292243 8918677691 12625141147 13316929703 15936653579 26273942387 51165045701 88375988029 138876552617 972135868319
• Sum of all divisors σ(n): 1363362739200
• Sum of proper divisors (its aliquot sum) s(n): 391226870881
• 972135868319 is a deficient number, because the sum of its proper divisors (391226870881) is less than itself. Its deficiency is 580908997438

Bases of 972135868319

• Binary: 1110001001010111110100000010011110011111₂
• Hexadecimal: 0xE257D0279F
• Base-36: CELCLGNZ

Squares and roots of 972135868319

• 972135868319 squared (972135868319²) is 945048146472336107885761
• 972135868319 cubed (972135868319³) is 918715200474145958951941132991105759
• The square root of 972135868319 is 985969.5067896369
• The cube root of 972135868319 is 9906.2432759051

Scales and comparisons

• 972,135,868,319 seconds is equal to 30,910 years, 47 weeks, 3 days, 13 hours, 11 minutes, 59 seconds.
• To count from 1 to 972,135,868,319 would take you about sixty-one thousand, eight hundred twenty-one 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 972135868319 cubic inches would be around 825.5 feet tall.

Recreational maths with 972135868319

• 972135868319 backwards is 913868531279
• The number of decimal digits it has is: 12
• The sum of 972135868319's digits is 62
• More coming soon!