42284304959942304

Names of 42284304959942304

• Cardinal: 42284304959942304 can be written as Forty-two quadrillion, two hundred eighty-four trillion, three hundred four billion, nine hundred fifty-nine million, nine hundred forty-two thousand, three hundred four.

Scientific notation

• Scientific notation: 4.2284304959942304 × 10¹⁶

Factors of 42284304959942304

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 25955359

Divisors of 42284304959942304

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 81 84 96 98 101 108 112 126 127 144 147 162 168 189 196 202 216 224 252 254 288 294 303 324 336 378 381 392 404 432 441 504 508 567 588 606 648 672 707 756 762 784 808 864 882 889 909 1008 1016 1134 1143 1176 1212 1296 1323 1414 1512 1524 1568 1616 1764 1778 1818 2016 2032 2121 2268 2286 2352 2424 2592 2646 2667 2727 2828 3024 3048 3232 3429 3528 3556 3636 3969 4064 4242 4536 4572 4704 4848 4949 5292 5334 5454 5656 6048 6096 6223 6363 6858 7056 7112 7272 7938 8001 8181 8484 9072 9144 9696 9898 10287 10584 10668 10908 11312 12192 12446 12726 12827 13716 14112 14224 14544 14847 15876 16002 16362 16968 18144 18288 18669 19089 19796 20574 21168 21336 21816 22624 24003 24892 25452 25654 27432 28448 29088 29694 31752 32004 32724 33936 36576 37338 38178 38481 39592 41148 42336 42672 43632 44541 48006 49784 50904 51308 54864 56007 57267 59388 63504 64008 65448 67872 72009 74676 76356 76962 79184 82296 85344 87264 89082 89789 96012 99568 101808 102616 109728 112014 114534 115443 118776 127008 128016 130896 133623 144018 149352 152712 153924 158368 164592 168021 178164 179578 192024 199136 203616 205232 224028 229068 230886 237552 256032 261792 267246 269367 288036 298704 305424 307848 329184 336042 346329 356328 359156 384048 400869 410464 448056 458136 461772 475104 504063 534492 538734 576072 597408 610848 615696 628523 672084 692658 712656 718312 768096 801738 808101 896112 916272 923544 1008126 1038987 1068984 1077468 1152144 1231392 1257046 1344168 1385316 1425312 1436624 1603476 1616202 1792224 1832544 1847088 1885569 2016252 2077974 2137968 2154936 2304288 2424303 2514092 2688336 2770632 2873248 3206952 3232404 3694176 3771138 4032504 4155948 4275936 4309872 4848606 5028184 5376672 5541264 5656707 6413904 6464808 7272909 7542276 8065008 8311896 8619744 9697212 10056368 11082528 11313414 12827808 12929616 14545818 15084552 16130016 16623792 16970121 19394424 20112736 22626828 25859232 25955119 29091636 30169104 33247584 33940242 38788848 45253656 50910363 51910238 58183272 60338208 67880484 77577696 77865357 90507312 101820726 103820476 116366544 135760968 155730714 181014624 181685833 203641452 207640952 232733088 233596071 271521936 311461428 363371666 407282904 415281904 467192142 543043872 545057499 622922856 700788213 726743332 814565808 830563808 934384284 1090114998 1245845712 1271800831 1401576426 1453486664 1629131616 1635172497 1868768568 2102364639 2180229996 2491691424 2543601662 2621467019 2803152852 2906973328 3270344994 3296300113 3737537136 3815402493 4204729278 4360459992 4905517491 5087203324 5242934038 5606305704 5813946656 6540689988 6592600226 7475074272 7630804986 7864401057 8409458556 8720919984 9811034982 9888900339 10174406648 10485868076 11212611408 11446207479 13081379976 13185200452 14716552473 15261609972 15728802114 16818917112 17441839968 18350269133 19622069964 19777800678 20348813296 20971736152 22425222816 22892414958 23074100791 23593203171 26162759952 26370400904 29433104946 29666701017 30523219944 31457604228 33637834224 34338622437 36700538266 39244139928 39555601356 40697626592 41943472304 45784829916 46148201582 47186406342 52325519904 52740801808 55050807399 58866209892 59333402034 61046439888 62915208456 67275668448 68677244874 69222302373 70779609513 73401076532 78488279856 79111202712 83886944608 89000103051 91569659832 92296403164 94372812684 103015867311 105481603616 110101614798 117732419784 118666804068 122092879776 125830416912 128451883931 137354489748 138444604746 141559219026 146802153064 156976559712 158222405424 161518705537 165152422197 178000206102 183139319664 184592806328 188745625368 206031734622 207666907119 212338828539 220203229596 235464839568 237333608136 251660833824 256903767862 267000309153 274708979496 276889209492 283118438052 293604306128 316444810848 323037411074 330304844394 332926311413 356000412204 366278639328 369185612656 377491250736 385355651793 412063469244 415333814238 424677657078 440406459192 470929679136 474667216272 484556116611 495457266591 513807535724 534000618306 549417958992 553778418984 566236876104 587208612256 623000721357 646074822148 660609688788 665852622826 712000824408 738371225312 754982501472 770711303586 824126938488 830667628476 849355314156 880812918384 949334432544 969112233222 990914533182 998778934239 1027615071448 1068001236612 1098835917984 1107556837968 1132473752208 1156066955379 1246001442714 1292149644296 1321219377576 1331705245652 1424001648816 1453668349833 1486371799773 1541422607172 1648253876976 1661335256952 1698710628312 1761625836768 1869002164071 1938224466444 1981829066364 1997557868478 2055230142896 2136002473224 2215113675936 2264947504416 2312133910758 2330484179891 2492002885428 2584299288592 2642438755152 2663410491304 2848003297632 2907336699666 2972743599546 2996336802717 3082845214344 3296507753952 3322670513904 3397421256624 3468200866137 3738004328142 3876448932888 3963658132728 3995115736956 4110460285792 4272004946448 4361005049499 4624267821516 4660968359782 4984005770856 5168598577184 5284877510304 5326820982608 5814673399332 5945487199092 5992673605434 6165690428688 6645341027808 6794842513248 6936401732274 6991452539673 7476008656284 7752897865776 7927316265456 7990231473912 8544009892896 8722010098998 8989010408151 9248535643032 9321936719564 9968011541712 10404602598411 10653641965216 11629346798664 11890974398184 11985347210868 12331380857376 13083015148497 13872803464548 13982905079346 14952017312568 15505795731552 15854632530912 15980462947824 16313389259237 17444020197996 17978020816302 18497071286064 18643873439128 19936023083424 20809205196822 20974357619019 23258693597328 23781948796368 23970694421736 26166030296994 26967031224453 27745606929096 27965810158692 29904034625136 31960925895648 32626778518474 34888040395992 35956041632604 36994142572128 37287746878256 41618410393644 41948715238038 46517387194656 47563897592736 47941388843472 48940167777711 52332060593988 53934062448906 55491213858192 55931620317384 59808069250272 62923072857057 65253557036948 69776080791984 71912083265208 74575493756512 83236820787288 83897430476076 95882777686944 97880335555422 104664121187976 107868124897812 110982427716384 111863240634768 125846145714114 130507114073896 139552161583968 143824166530416 146820503333133 166473641574576 167794860952152 188769218571171 195760671110844 209328242375952 215736249795624 223726481269536 251692291428228 261014228147792 287648333060832 293641006666266 332947283149152 335589721904304 377538437142342 391521342221688 418656484751904 431472499591248 440461509999399 503384582856456 522028456295584 587282013332532 671179443808608 755076874284684 783042684443376 862944999182496 880923019998798 1006769165712912 1174564026665064 1321384529998197 1510153748569368 1566085368886752 1761846039997596 2013538331425824 2349128053330128 2642769059996394 3020307497138736 3523692079995192 4698256106660256 5285538119992788 6040614994277472 7047384159990384 10571076239985576 14094768319980768 21142152479971152 42284304959942304
• Sum of all divisors σ(n): 147242762870353920
• Sum of proper divisors (its aliquot sum) s(n): 104958457910411616
• 42284304959942304 is an abundant number, because the sum of its proper divisors (104958457910411616) is greater than itself. Its abundance is 62674152950469312

Bases of 42284304959942304

• Binary: 10010110001110010101100111110000101101100010111010100000₂
• Hexadecimal: 0x963959F0B62EA0
• Base-36: BKCJ9J4QY00

Squares and roots of 42284304959942304

• 42284304959942304 squared (42284304959942304²) is 1787962445945401331082059008828416
• 42284304959942304 cubed (42284304959942304³) is 75602749321279707111782444038817963981169995710464
• The square root of 42284304959942304 is 205631478.5239417181
• The cube root of 42284304959942304 is 348385.2280477851

Scales and comparisons

• 42,284,304,959,942,304 seconds is equal to 1,344,510,103 years, 40 weeks, 5 days, 2 hours, 38 minutes, 24 seconds.
• To count from 1 to 42,284,304,959,942,304 would take you about four billion, thirty-three million, five hundred thirty thousand, three hundred eleven 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 42284304959942304 cubic inches would be around 29032.1 feet tall.

Recreational maths with 42284304959942304

• 42284304959942304 backwards is 40324995940348224
• 42284304959942304 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 42284304959942304's digits is 72
• More coming soon!