45727968349728

Names of 45727968349728

• Cardinal: 45727968349728 can be written as Forty-five trillion, seven hundred twenty-seven billion, nine hundred sixty-eight million, three hundred forty-nine thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 4.5727968349728 × 10¹³

Factors of 45727968349728

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 14611

Divisors of 45727968349728

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 193 196 224 252 288 294 336 386 392 441 504 579 588 672 772 784 882 1008 1158 1176 1279 1351 1544 1568 1737 1764 2016 2316 2352 2558 2702 3088 3474 3528 3837 4053 4632 4704 5116 5404 6176 6948 7056 7674 8106 8953 9264 9457 10232 10808 11511 12159 13127 13896 14112 15348 16212 17906 18528 18914 20464 21616 23022 24318 26254 26859 27792 28371 30696 32424 35812 37828 39381 40928 43232 46044 48636 52508 53718 55584 56742 61392 62671 64848 71624 75656 78762 80577 85113 91889 92088 97272 105016 107436 113484 118143 122784 125342 129696 143248 151312 157524 161154 170226 183778 184176 188013 194544 210032 214872 226968 236286 246847 250684 275667 286496 302624 315048 322308 340452 367556 368352 376026 389088 420064 429744 453936 472572 493694 501368 551334 564039 630096 643223 644616 680904 735112 740541 752052 827001 859488 907872 945144 987388 1002736 1102668 1128078 1260192 1286446 1289232 1361808 1470224 1481082 1504104 1654002 1727929 1890288 1929669 1974776 2005472 2205336 2221623 2256156 2533511 2572892 2578464 2723616 2940448 2962164 3008208 3308004 3455858 3780576 3859338 3949552 4410672 4443246 4512312 5067022 5145784 5183787 5789007 5924328 6016416 6616008 6911716 7600533 7718676 7899104 8821344 8886492 9024624 10134044 10291568 10367574 11578014 11848656 12095503 13232016 13823432 15201066 15437352 15551361 16789433 17734577 17772984 18049248 20268088 20583136 20735148 22801599 23156028 23697312 24191006 26464032 27646864 30402132 30874704 31102722 33578866 35469154 35545968 36286509 40536176 41470296 45603198 46312056 48382012 50368299 53203731 55293728 60804264 61749408 62205444 67157732 70938308 71091936 72573018 81072352 82940592 91206396 92624112 96764024 100736598 106407462 108859527 117526031 121608528 124142039 124410888 134315464 141876616 145146036 151104897 159611193 165881184 182412792 185248224 193528048 201473196 212814924 217719054 235052062 243217056 248284078 248821776 268630928 283753232 290292072 302209794 319222386 352578093 364825584 372426117 387056096 402946392 425629848 435438108 470104124 496568156 497643552 537261856 567506464 580584144 604419588 638444772 705156186 729651168 744852234 805892784 822682217 851259696 870876216 940208248 993136312 1057734279 1117278351 1161168288 1208839176 1276889544 1410312372 1489704468 1611785568 1645364434 1702519392 1741752432 1880416496 1986272624 2115468558 2234556702 2417678352 2468046651 2553779088 2820624744 2979408936 3240360569 3290728868 3483504864 3760832992 3972545248 4230937116 4469113404 4835356704 4936093302 5107558176 5641249488 5958817872 6480721138 6581457736 7404139953 8461874232 8938226808 9721081707 9872186604 11282498976 11917635744 12961442276 13162915472 14808279906 16923748464 17876453616 19442163414 19744373208 22682523983 25922884552 26325830944 29163245121 29616559812 33847496928 35752907232 38884326828 39488746416 45365047966 51845769104 58326490242 59233119624 68047571949 77768653656 78977492832 90730095932 103691538208 116652980484 118466239248 136095143898 155537307312 158777667881 181460191864 204142715847 233305960968 236932478496 272190287796 311074614624 317555335762 362920383728 408285431694 466611921936 476333003643 544380575592 635110671524 725840767456 816570863388 933223843872 952666007286 1088761151184 1270221343048 1428999010929 1633141726776 1905332014572 2177522302368 2540442686096 2857998021858 3266283453552 3810664029144 5080885372192 5715996043716 6532566907104 7621328058288 11431992087432 15242656116576 22863984174864 45727968349728
• Sum of all divisors σ(n): 152184010567680
• Sum of proper divisors (its aliquot sum) s(n): 106456042217952
• 45727968349728 is an abundant number, because the sum of its proper divisors (106456042217952) is greater than itself. Its abundance is 60728073868224

Bases of 45727968349728

• Binary: 1010011001011011011111010011110100111000100000₂
• Hexadecimal: 0x2996DF4F4E20
• Base-36: G7J4ZOZS0

Squares and roots of 45727968349728

• 45727968349728 squared (45727968349728²) is 2091047089393725707717673984
• 45727968349728 cubed (45727968349728³) is 95619335121587145042780053283471199076352
• The square root of 45727968349728 is 6762245.8066627539
• The cube root of 45727968349728 is 35759.7084102315

Scales and comparisons

• 45,727,968,349,728 seconds is equal to 1,454,007 years, 49 weeks, 1 day, 22 hours, 28 minutes, 48 seconds.
• To count from 1 to 45,727,968,349,728 would take you about three million, six hundred thirty-five thousand and nineteen 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 45727968349728 cubic inches would be around 2980 feet tall.

Recreational maths with 45727968349728

• 45727968349728 backwards is 82794386972754
• The number of decimal digits it has is: 14
• The sum of 45727968349728's digits is 81
• More coming soon!