1027728144716672

Names of 1027728144716672

• Cardinal: 1027728144716672 can be written as One quadrillion, twenty-seven trillion, seven hundred twenty-eight billion, one hundred forty-four million, seven hundred sixteen thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 1.027728144716672 × 10¹⁵

Factors of 1027728144716672

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 6031

Divisors of 1027728144716672

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 7 8 14 16 19 28 31 32 38 49 56 62 64 76 98 112 124 128 133 152 196 217 223 224 248 266 304 343 392 434 446 448 496 532 589 608 686 784 868 892 896 931 961 992 1064 1178 1216 1372 1519 1561 1568 1736 1784 1862 1922 1984 2128 2356 2432 2744 3038 3122 3136 3472 3568 3724 3844 3968 4123 4237 4256 4712 5488 5749 6076 6244 6272 6517 6727 6913 6944 7136 7448 7688 8246 8474 8512 9424 10633 10927 10976 11498 12152 12488 13034 13454 13826 13888 14272 14896 15376 16492 16948 17024 18259 18848 21266 21854 21952 22996 24304 24976 26068 26908 27652 27776 28544 28861 29659 29792 30752 32984 33896 36518 37696 40243 42532 43708 43904 45992 47089 48391 48608 49952 52136 53816 55304 57722 59318 59584 61504 65968 67792 73036 75392 76489 80486 85064 87416 91984 94178 96782 97216 99904 104272 107632 109231 110608 115444 118636 119168 123008 127813 131347 131936 135584 146072 152978 160972 170128 174832 178219 183968 188356 193564 194432 199808 202027 207613 208544 214303 215264 218462 221216 230888 237272 255626 262694 263872 271168 281701 292144 305956 321944 329623 338737 340256 349664 356438 367936 376712 387128 404054 415226 417088 428606 430528 436924 442432 461776 474544 511252 525388 527744 542336 563402 584288 611912 643888 659246 677474 680512 699328 712876 735872 753424 764617 774256 808108 830452 834176 857212 861056 873848 884864 894691 919429 923552 949088 1022504 1050776 1126804 1168576 1223824 1247533 1282027 1287776 1318492 1354948 1361024 1398656 1425752 1453291 1500121 1506848 1529234 1548512 1616216 1660904 1714424 1747696 1789382 1838858 1847104 1898176 1971907 2045008 2101552 2253608 2337152 2371159 2447648 2495066 2564054 2575552 2636984 2709896 2851504 2906582 3000242 3013696 3058468 3097024 3232432 3321808 3386161 3428848 3495392 3578764 3677716 3694208 3796352 3943814 4071757 4090016 4203104 4507216 4742318 4895296 4990132 5128108 5151104 5273968 5352319 5419792 5524789 5703008 5813164 6000484 6027392 6116936 6194048 6262837 6436003 6464864 6643616 6772322 6857696 6990784 7157528 7355432 7887628 8143514 8180032 8406208 8732731 8974189 9014432 9484636 9790592 9980264 10256216 10500847 10547936 10704638 10839584 11049578 11406016 11626328 12000968 12233872 12525674 12872006 12929728 13287232 13544644 13715392 13981568 14315056 14710864 15775256 16287028 16360064 16812416 17465462 17948378 18028864 18969272 19960528 20512432 21001694 21095872 21409276 21679168 22099156 22812032 23252656 23703127 24001936 24358513 24467744 25051348 25744012 25859456 26574464 27089288 27430784 28502299 28630112 29421728 31550512 32574056 34930924 35896756 36057728 37466233 37938544 38673523 39742837 39921056 41024864 42003388 42191744 42818552 43358336 44198312 45052021 46505312 47406254 48003872 48717026 48935488 50102696 51488024 54178576 57004598 57260224 58843456 61129117 62819323 63101024 65148112 69861848 71793512 73505929 74932466 75877088 77347046 79485674 79842112 82049728 84006776 85637104 88396624 90104042 93010624 94812508 96007744 97434052 97870976 100205392 102976048 104970991 108357152 114009196 114520448 117686912 122258234 125638646 126202048 130296224 139723696 143587024 147011858 149864932 151754176 154694092 158971348 159684224 164099456 165921889 168013552 170509591 171274208 176793248 180208084 186021248 189625016 192015488 194868104 199516093 200410784 205952096 209941982 216714304 228018392 244516468 251277292 252404096 260592448 270714661 278199859 279447392 287174048 294023716 299729864 303508352 309388184 317942696 331843778 336027104 341019182 342548416 353586496 360416168 379250032 389736208 399032186 400821568 411904192 419883964 433428608 439735261 456036784 489032936 502554584 521184896 541429322 556399718 558894784 574348096 588047432 599459728 618776368 635885392 663687556 672054208 682038364 685096832 707172992 720832336 734796937 755113903 758500064 779472416 798064372 801643136 823808384 839767928 879470522 912073568 978065872 1005109168 1082858644 1112799436 1117789568 1148696192 1161453223 1176094864 1193567137 1198919456 1232027947 1237552736 1271770784 1327375112 1344108416 1364076728 1396612651 1441664672 1469593874 1510227806 1517000128 1558944832 1596128744 1679535856 1758941044 1824147136 1895002627 1947399013 1956131744 2010218336 2165717288 2225598872 2322906446 2352189728 2387134274 2397838912 2464055894 2475105472 2543541568 2654750224 2728153456 2793225302 2883329344 2939187748 3020455612 3034000256 3117889664 3192257488 3359071712 3517882088 3648294272 3790005254 3894798026 3912263488 4020436672 4331434576 4451197744 4645812892 4704379456 4774268548 4795677824 4928111788 4950210944 5087083136 5143578559 5285797321 5309500448 5456306912 5586450604 5766658688 5878375496 6040911224 6384514976 6718143424 7035764176 7580010508 7789596052 7824526976 8040873344 8354969959 8624195629 8662869152 8902395488 9291625784 9408758912 9548537096 9856223576 10287157118 10571594642 10619000896 10912613824 11172901208 11756750992 12081822448 12769029952 13436286848 13631793091 14071528352 15160021016 15579192104 16709939918 17248391258 17325738304 17804790976 18583251568 19097074192 19712447152 20574314236 21143189284 21238001792 21825227648 22345802416 23408530993 23513501984 24163644896 25538059904 27263586182 28143056704 30320042032 31158384208 33419879836 34496782516 34651476608 35609581952 36005049913 37000581247 37166503136 38194148384 39424894304 41148628472 42286378568 44691604832 46817061986 47027003968 48327289792 54527172364 56286113408 60369369403 60640084064 62316768416 66839759672 68993565032 72010099826 74001162494 74333006272 76388296768 78849788608 82297256944 84572757136 89383209664 93634123972 94054007936 96654579584 109054344728 120738738806 121280168128 124633536832 133679519344 137987130064 144020199652 148002324988 148666012544 152776593536 157699577216 163859716951 164594513888 169145514272 178766419328 187268247944 218108689456 241477477612 242560336256 249267073664 259004068729 267359038688 275974260128 288040399304 296004649976 327719433902 329189027776 338291028544 374536495888 422585585821 436217378912 482954955224 518008137458 534718077376 551948520256 576080798608 592009299952 655438867804 658378055552 676582057088 749072991776 845171171642 872434757824 965909910448 1036016274916 1069436154752 1103897040512 1147018018657 1152161597216 1184018599904 1310877735608 1498145983552 1690342343284 1744869515648 1931819820896 2072032549832 2294036037314 2304323194432 2368037199808 2621755471216 2996291967104 3380684686568 3863639641792 4144065099664 4588072074628 4608646388864 4736074399616 5243510942432 6761369373136 7727279283584 8029126130599 8288130199328 9176144149256 10487021884864 13522738746272 16058252261198 16576260398656 18352288298512 20974043769728 27045477492544 32116504522396 33152520797312 36704576597024 54090954985088 64233009044792 73409153194048 128466018089584 146818306388096 256932036179168 513864072358336 1027728144716672
• Sum of all divisors σ(n): 2609127360000000
• Sum of proper divisors (its aliquot sum) s(n): 1581399215283328
• 1027728144716672 is an abundant number, because the sum of its proper divisors (1581399215283328) is greater than itself. Its abundance is 553671070566656

Bases of 1027728144716672

• Binary: 11101001101011011010011010111111011101001110000000₂
• Hexadecimal: 0x3A6B69AFDD380
• Base-36: A4ARSI7K3K

Squares and roots of 1027728144716672

• 1027728144716672 squared (1027728144716672²) is 1056225139442772705347154755584
• 1027728144716672 cubed (1027728144716672³) is 1085512302962628969815021032923674049089896448
• The square root of 1027728144716672 is 32058199.3367792259
• The cube root of 1027728144716672 is 100915.8579258939

Scales and comparisons

• 1,027,728,144,716,672 seconds is equal to 32,678,576 years, 1 week, 3 days, 23 hours, 4 minutes, 32 seconds.
• To count from 1 to 1,027,728,144,716,672 would take you about ninety-eight million, thirty-five thousand, seven hundred twenty-eight 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 1027728144716672 cubic inches would be around 8409.7 feet tall.

Recreational maths with 1027728144716672

• 1027728144716672 backwards is 2766174418277201
• The number of decimal digits it has is: 16
• The sum of 1027728144716672's digits is 65
• More coming soon!