972083997170013

Names of 972083997170013

• Cardinal: 972083997170013 can be written as Nine hundred seventy-two trillion, eighty-three billion, nine hundred ninety-seven million, one hundred seventy thousand and thirteen.

Scientific notation

• Scientific notation: 9.72083997170013 × 10¹⁴

Factors of 972083997170013

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 32795

Divisors of 972083997170013

• Number of divisors d(n): 256
• Complete list of divisors:
  1 3 7 13 19 21 39 49 57 71 91 133 147 213 247 273 343 399 497 637 741 923 931 1029 1349 1491 1729 1741 1911 2769 2793 3479 4047 4459 5187 5223 6461 6517 9443 10437 12103 12187 13377 17537 19383 19551 22633 24353 28329 30941 33079 36309 36561 45227 52611 66101 67899 73059 84721 85309 92823 99237 122759 123611 135681 158431 198303 216587 231553 254163 255927 316589 368277 370833 402233 430027 462707 475293 587879 597163 649761 694659 859313 865277 949767 1109017 1206699 1290081 1388121 1516109 1606943 1620871 1763637 1791489 2196811 2348609 2577939 2595831 2815631 3010189 3327051 4115153 4548327 4820829 4862613 6015191 6056939 6590433 7045827 7642427 7763119 8446893 9030567 10612763 11248601 11346097 12345459 15377677 16440263 18045573 18170817 19709417 21071323 22927281 23289357 28558543 28806071 30531917 31838289 33745803 34038291 41739409 42398573 46133031 49320789 53496989 53868281 59128251 63213969 78740207 85675629 86418213 91595751 107643739 115081841 125218227 127195719 137965919 147499261 160490967 161604843 199909801 201642497 213723419 236220621 292175863 322931217 345245523 374478923 377077967 413897757 442497783 542612317 551181449 599729403 604927491 641170257 700287653 753506173 805572887 876527589 1023497339 1123436769 1131233901 1399368607 1496063933 1627836951 1653544347 2045231041 2100862959 2260518519 2416718661 2621352461 2639545769 3070492017 3798286219 3824647951 4198105821 4488191799 4902013571 6135693123 7164481373 7864057383 7918637307 9795580249 10472447531 11394858657 11473943853 13305465407 14316617287 14706040713 18476820383 21493444119 26588003533 26772535657 29386740747 31417342593 34314094997 39916396221 42949851861 49720423363 50151369611 55430461149 72668311069 79764010599 80317606971 93138257849 102942284991 149161270089 150454108833 186116024731 187407749599 218004933207 240198664979 279414773547 348042963541 351059587277 508678177483 558348074193 562223248797 651967804943 720595994937 944688043897 1044128890623 1053178761831 1311854247193 1526034532449 1955903414829 2436300744787 2834064131691 3560747242381 3935562741579 4563774634601 6612816307279 7308902234361 10682241727143 13691323903803 17054105213509 19838448921837 24925230696667 46289714150953 51162315640527 74775692090001 138869142452859 324027999056671 972083997170013
• Sum of all divisors σ(n): 1738629494784000
• Sum of proper divisors (its aliquot sum) s(n): 766545497613987
• 972083997170013 is a deficient number, because the sum of its proper divisors (766545497613987) is less than itself. Its deficiency is 205538499556026

Bases of 972083997170013

• Binary: 11011101000001101011110001010101111101100101011101₂
• Hexadecimal: 0x3741AF157D95D
• Base-36: 9KKP81G76L

Squares and roots of 972083997170013

• 972083997170013 squared (972083997170013²) is 944947297554029842192826420169
• 972083997170013 cubed (972083997170013³) is 918568146121322977355135226805811933665192197
• The square root of 972083997170013 is 31178261.6123800751
• The cube root of 972083997170013 is 99060.6708058879

Scales and comparisons

• 972,083,997,170,013 seconds is equal to 30,909,264 years, 13 weeks, 2 days, 11 hours, 13 minutes, 33 seconds.
• To count from 1 to 972,083,997,170,013 would take you about seventy-seven million, two hundred seventy-three thousand, one 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 972083997170013 cubic inches would be around 8255.1 feet tall.

Recreational maths with 972083997170013

• 972083997170013 backwards is 310071799380279
• The number of decimal digits it has is: 15
• The sum of 972083997170013's digits is 66
• More coming soon!