12742135200972

Names of 12742135200972

• Cardinal: 12742135200972 can be written as Twelve trillion, seven hundred forty-two billion, one hundred thirty-five million, two hundred thousand, nine hundred seventy-two.

Scientific notation

• Scientific notation: 1.2742135200972 × 10¹³

Factors of 12742135200972

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 4408

Divisors of 12742135200972

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 9 12 18 19 36 38 43 57 76 86 114 127 129 171 172 228 254 258 342 381 387 508 516 684 762 774 817 1093 1143 1524 1548 1634 2186 2286 2413 2451 3121 3268 3279 4372 4572 4826 4902 5461 6242 6558 7239 7353 9363 9652 9804 9837 10922 12484 13116 14478 14706 16383 18726 19674 20767 21717 21844 28089 28956 29412 32766 37452 39348 41534 43434 46999 49149 56178 59299 62301 65532 83068 86868 93998 98298 103759 112356 118598 124602 134203 138811 140997 177897 186903 187996 196596 207518 237196 249204 268406 277622 281994 311277 355794 373806 396367 402609 415036 416433 422991 533691 536812 555244 563988 622554 711588 747612 792734 805218 832866 845982 892981 933831 1067382 1189101 1207827 1245108 1249299 1585468 1610436 1665732 1691964 1785962 1867662 2134764 2378202 2415654 2498598 2549857 2637409 2678943 3411253 3567303 3571924 3735324 4756404 4831308 4997196 5099714 5274818 5357886 5968873 6822506 7134606 7530973 7649571 7912227 8036829 10199428 10233759 10549636 10715772 11937746 13645012 14269212 15061946 15299142 15824454 16073658 17043781 17906619 20467518 22592919 22948713 23736681 23875492 30123892 30598284 30701277 31648908 32147316 34087562 35813238 40935036 45185838 45897426 47473362 51131343 53719857 61402554 64813807 67778757 68175124 71626476 90371676 91794852 94946724 102262686 107439714 113408587 122805108 129627614 135557514 146683879 153394029 194441421 204525372 214879428 226817174 259255228 271115028 293367758 306788058 323831839 340225761 388882842 433229131 440051637 453634348 583324263 586735516 613576116 647663678 680451522 777765684 866458262 880103274 971495517 1020677283 1166648526 1295327356 1299687393 1320154911 1360903044 1732916524 1760206548 1942991034 2041354566 2333297052 2599374786 2640309822 2786993701 2914486551 3885982068 3899062179 4082709132 5198749572 5280619644 5573987402 5828973102 7798124358 8231353489 8360981103 11147974804 11657946204 15596248716 16462706978 16721962206 18628852633 24694060467 25082943309 32925413956 33443924412 37257705266 49388120934 50165886618 55886557899 74082181401 74515410532 98776241868 100331773236 111773115798 148164362802 167659673697 223546231596 296328725604 335319347394 353948200027 670638694788 707896400054 1061844600081 1415792800108 2123689200162 3185533800243 4247378400324 6371067600486 12742135200972
• Sum of all divisors σ(n): 35009366712320
• Sum of proper divisors (its aliquot sum) s(n): 22267231511348
• 12742135200972 is an abundant number, because the sum of its proper divisors (22267231511348) is greater than itself. Its abundance is 9525096310376

Bases of 12742135200972

• Binary: 10111001011011000010011100010011110011001100₂
• Hexadecimal: 0xB96C2713CCC
• Base-36: 4ILNMB170

Squares and roots of 12742135200972

• 12742135200972 squared (12742135200972²) is 162362009479849750829744784
• 12742135200972 cubed (12742135200972³) is 2068838676293743073973334177029308730048
• The square root of 12742135200972 is 3569612.7522424613
• The cube root of 12742135200972 is 23356.8391339625

Scales and comparisons

• 12,742,135,200,972 seconds is equal to 405,160 years, 25 weeks, 1 day, 16 hours, 16 minutes, 12 seconds.
• To count from 1 to 12,742,135,200,972 would take you about one million, twelve thousand, nine hundred 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 12742135200972 cubic inches would be around 1946.4 feet tall.

Recreational maths with 12742135200972

• 12742135200972 backwards is 27900253124721
• The number of decimal digits it has is: 14
• The sum of 12742135200972's digits is 45
• More coming soon!