972045427102848

Names of 972045427102848

• Cardinal: 972045427102848 can be written as Nine hundred seventy-two trillion, forty-five billion, four hundred twenty-seven million, one hundred two thousand, eight hundred forty-eight.

Scientific notation

• Scientific notation: 9.72045427102848 × 10¹⁴

Factors of 972045427102848

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 58204557

Divisors of 972045427102848

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 64 72 76 84 96 109 112 114 126 128 133 144 152 168 171 192 218 224 228 252 266 288 304 327 336 342 384 399 436 448 456 504 532 576 608 654 672 684 763 798 872 896 912 981 1008 1064 1152 1197 1216 1308 1344 1368 1526 1596 1744 1824 1962 2016 2071 2128 2289 2394 2432 2616 2688 2736 3052 3192 3488 3648 3924 4032 4142 4256 4578 4788 5232 5472 6104 6213 6384 6867 6976 7296 7848 8064 8284 8512 9156 9576 10464 10944 12208 12426 12768 13734 13952 14497 15696 16568 17024 18312 18639 19152 20928 21888 24416 24852 25536 27468 28994 31392 33136 36624 37278 38304 41856 43491 48832 49704 51072 54936 57988 62784 66272 73248 74556 76608 86982 97664 99408 109872 115976 125568 130473 132544 146496 149112 153216 173964 198816 219744 231952 260946 265088 292992 298224 347928 397632 439488 463904 521892 596448 695856 795264 878976 927808 1043784 1192896 1391712 1855616 2087568 2385792 2783424 4175136 5566848 8350272 16700544 58204417 116408834 174613251 232817668 349226502 407430919 465635336 523839753 698453004 814861838 931270672 1047679506 1105883923 1222292757 1396906008 1629723676 1862541344 2095359012 2211767846 2444585514 2793812016 3259447352 3317651769 3666878271 3725082688 4190718024 4423535692 4889171028 5587624032 6344281453 6518894704 6635303538 7333756542 7450165376 7741187461 8381436048 8847071384 9778342056 9952955307 11175248064 12688562906 13037789408 13270607076 14667513084 15482374922 16762872096 17694142768 19032844359 19556684112 19905910614 22350496128 23223562383 25377125812 26075578816 26541214152 29335026168 30964749844 33525744192 35388285536 38065688718 39113368224 39811821228 44409970171 46447124766 50754251624 52151157632 53082428304 57098533077 58670052336 61929499688 67051488384 69670687149 70776571072 76131377436 78226736448 79623642456 88819940342 92894249532 101508503248 106164856608 114197066154 117340104672 120541347607 123858999376 133229910513 139341374298 141553142144 152262754872 156453472896 159247284912 177639880684 185788499064 203017006496 212329713216 228394132308 234680209344 241082695214 247717998752 266459821026 278682748596 304525509744 318494569824 355279761368 361624042821 371576998128 399689731539 406034012992 424659426432 456788264616 469360418688 482165390428 495435997504 532919642052 557365497192 609051019488 636989139648 710559522736 723248085642 743153996256 799379463078 812068025984 843789433249 913576529232 964330780856 990871995008 1065839284104 1084872128463 1114730994384 1218102038976 1273978279296 1421119045472 1446496171284 1486307992512 1598758926156 1687578866498 1827153058464 1928661561712 2131678568208 2169744256926 2229461988768 2436204077952 2531368299747 2842238090944 2892992342568 2972615985024 3197517852312 3375157732996 3654306116928 3857323123424 4263357136416 4339488513852 4458923977536 5062736599494 5684476181888 5785984685136 6395035704624 6750315465992 7308612233856 7594104899241 7714646246848 8526714272832 8678977027704 8917847955072 10125473198988 11571969370272 12790071409248 13500630931984 15188209798482 15429292493696 17053428545664 17357954055408 20250946397976 23143938740544 25580142818496 27001261863968 30376419596964 34715908110816 40501892795952 46287877481088 51160285636992 54002523727936 60752839193928 69431816221632 81003785591904 108005047455872 121505678387856 138863632443264 162007571183808 243011356775712 324015142367616 486022713551424 972045427102848
• Sum of all divisors σ(n): 3395878563792000
• Sum of proper divisors (its aliquot sum) s(n): 2423833136689152
• 972045427102848 is an abundant number, because the sum of its proper divisors (2423833136689152) is greater than itself. Its abundance is 1451787709586304

Bases of 972045427102848

• Binary: 11011101000001000111110110011000110101010010000000₂
• Hexadecimal: 0x37411F6635480
• Base-36: 9KK7I5TSW0

Squares and roots of 972045427102848

• 972045427102848 squared (972045427102848²) is 944872312351558185162769711104
• 972045427102848 cubed (972045427102848³) is 918458810417425977792622604560374860655624192
• The square root of 972045427102848 is 31177643.0652294177
• The cube root of 972045427102848 is 99059.3606216953

Scales and comparisons

• 972,045,427,102,848 seconds is equal to 30,908,037 years, 44 weeks, 15 hours, 40 minutes, 48 seconds.
• To count from 1 to 972,045,427,102,848 would take you about seventy-seven million, two hundred seventy thousand and ninety-four 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 972045427102848 cubic inches would be around 8254.9 feet tall.

Recreational maths with 972045427102848

• 972045427102848 backwards is 848201724540279
• 972045427102848 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 972045427102848's digits is 63
• More coming soon!