42311139967812672

Names of 42311139967812672

• Cardinal: 42311139967812672 can be written as Forty-two quadrillion, three hundred eleven trillion, one hundred thirty-nine billion, nine hundred sixty-seven million, eight hundred twelve thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 4.2311139967812672 × 10¹⁶

Factors of 42311139967812672

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 209748

Divisors of 42311139967812672

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 64 66 71 72 76 88 96 99 108 114 132 142 144 152 171 176 192 198 209 213 216 228 264 284 288 297 304 342 352 396 418 426 432 456 513 528 568 576 594 608 627 639 684 704 781 792 836 852 864 912 1026 1056 1136 1188 1216 1254 1278 1349 1368 1562 1584 1672 1704 1728 1824 1881 1917 2052 2112 2272 2343 2376 2508 2556 2698 2736 3124 3168 3344 3408 3648 3762 3834 4047 4104 4544 4686 4752 5016 5112 5396 5472 5643 6248 6336 6688 6816 7029 7524 7668 8094 8191 8208 9372 9504 10032 10224 10792 10944 11286 12141 12496 13376 13632 14058 14839 15048 15336 16188 16382 16416 18744 19008 20064 20448 21087 21584 22572 24282 24573 24992 28116 29678 30096 30672 32376 32764 32832 36423 37488 40128 40896 42174 43168 44517 45144 48564 49146 49984 56232 59356 60192 61344 64752 65528 72846 73719 74976 84348 86336 89034 90101 90288 97128 98292 112464 118712 120384 122688 129504 131056 133551 145692 147438 149952 155629 168696 178068 180202 180576 194256 196584 201451 221157 224928 237424 259008 262112 267102 270303 291384 294876 311258 337392 356136 360404 361152 388512 393168 400653 402902 442314 449856 466887 474848 524224 534204 540606 581561 582768 589752 604353 622516 674784 712272 720808 777024 786336 801306 805804 810909 884628 933774 949696 1068408 1081212 1163122 1165536 1179504 1208706 1245032 1349568 1400661 1424544 1441616 1572672 1602612 1611608 1621818 1711919 1744683 1769256 1813059 1867548 2136816 2162424 2215961 2326244 2331072 2359008 2417412 2432727 2490064 2801322 2849088 2883232 3205224 3223216 3243636 3423838 3489366 3538512 3626118 3735096 3827569 4201983 4273632 4324848 4431922 4652488 4718016 4834824 4865454 4980128 5135757 5234049 5439177 5602644 5766464 6397171 6410448 6446432 6487272 6647883 6847676 6978732 7077024 7252236 7470192 7655138 8403966 8547264 8649696 8863844 9304976 9669648 9730908 9960256 10271514 10468098 10878354 11049659 11205288 11482707 12794342 12820896 12892864 12974544 13295766 13695352 13957464 14154048 14303021 14504472 14940384 15310276 15407271 15702147 16807932 17299392 17727688 18609952 19191513 19339296 19461816 19943649 20543028 20936196 21756708 22099318 22410576 22965414 25588684 25641792 25949088 26591532 27390704 27914928 28606042 29008944 29880768 30620552 30814542 31404294 33148977 33615864 34448121 35455376 37219904 38383026 38678592 38923632 39887298 41086056 41872392 42103259 42909063 43513416 44198636 44821152 45930828 46221813 51177368 51898176 53183064 54781408 55829856 57212084 57574539 58017888 59830947 61241104 61629084 62808588 66297954 67231728 68896242 70910752 76766052 77847264 79774596 82172112 83744784 84206518 85818126 87026832 88397272 89642304 91861656 92443626 99446931 102354736 103344363 106366128 109562816 111659712 114424168 115149078 116035776 119661894 121546249 122482208 123258168 125617176 126309777 128727189 132595908 134463456 137792484 141821504 153532104 155694528 157333231 159549192 164344224 167489568 168413036 171636252 172723617 174053664 176794544 183723312 184887252 198893862 204709472 206688726 212732256 228848336 230298156 239323788 243092498 244964416 246516336 251234352 252619554 257454378 265191816 268926912 271757399 275584968 298340793 307064208 314666462 319098384 328688448 334979136 336826072 343272504 345447234 348107328 353589088 364638747 367446624 369774504 378929331 386181567 397787724 409418944 413377452 425464512 457696672 460596312 471999693 478647576 486184996 493032672 502468704 505239108 514908756 530383632 543514798 551169936 596681586 614128416 629332924 638196768 673652144 686545008 690894468 707178176 729277494 734893248 739549008 757858662 772363134 795575448 815272197 826754904 915393344 921192624 943999386 957295152 972369992 986065344 1004937408 1010478216 1029817512 1060767264 1087029596 1093916241 1102339872 1136787993 1193363172 1228256832 1258665848 1276393536 1347304288 1373090016 1381788936 1415999079 1458554988 1479098016 1515717324 1544726268 1591150896 1630544394 1650085141 1653509808 1842385248 1887998772 1914590304 1944739984 2020956432 2059635024 2121534528 2174059192 2187832482 2204679744 2273575986 2386726344 2445816591 2517331696 2694608576 2746180032 2763577872 2831998158 2917109976 2958196032 2989331389 3031434648 3089452536 3182301792 3261088788 3281748723 3300170282 3307019616 3684770496 3775997544 3829180608 3889479968 4041912864 4119270048 4247997237 4348118384 4375664964 4547151972 4773452688 4891633182 4950255423 5034663392 5527155744 5663996316 5834219952 5978662778 6062869296 6178905072 6364603584 6522177576 6563497446 6600340564 6614039232 7337449773 7551995088 7778959936 8083825728 8238540096 8495994474 8696236768 8751329928 8967994167 9094303944 9546905376 9783266364 9900510846 10069326784 11054311488 11327992632 11668439904 11957325556 12125738592 12357810144 13044355152 13126994892 13200681128 14674899546 14850766269 15103990176 16991988948 17392473536 17502659856 17935988334 18150936551 18188607888 19093810752 19566532728 19801021692 22655985264 23336879808 23914651112 24251477184 24715620288 26088710304 26253989784 26401362256 26903982501 29349799092 29701532538 30207980352 31351617679 33983977896 35005319712 35871976668 36301873102 36377215776 39133065456 39602043384 44552298807 45311970528 47829302224 52177420608 52507979568 52802724512 53807965002 54452809653 58699598184 59403065076 62703235358 67967955792 70010639424 71743953336 72603746204 72754431552 78266130912 79204086768 80711947503 89104597614 90623941056 94054853037 95658604448 105015959136 105605449024 107615930004 108905619306 117156045011 117399196368 118806130152 125406470716 135935911584 143487906672 145207492408 156532261824 158408173536 161423895006 163358428959 178209195228 188109706074 191317208896 210031918272 215231860008 217811238612 234312090022 234798392736 237612260304 250812941432 271871823168 282164559111 286975813344 290414984816 316816347072 322847790012 326716857918 344867794469 351468135033 356418390456 376219412148 430463720016 435622477224 468624180044 469596785472 475224520608 490075286877 501625882864 564329118222 573951626688 580829969632 645695580024 653433715836 689735588938 702936270066 712836780912 752438824296 846493677333 860927440032 871244954448 937248360088 950449041216 980150573754 1003251765728 1034603383407 1054404405099 1128658236444 1161659939264 1288716495121 1291391160048 1306867431672 1379471177876 1405872540132 1425673561824 1504877648592 1692987354666 1721854880064 1742489908896 1874496720176 1960301147508 2006503531456 2069206766814 2108808810198 2225964855209 2257316472888 2577432990242 2582782320096 2613734863344 2758942355752 2811745080264 2851347123648 3009755297184 3103810150221 3163213215297 3385974709332 3484979817792 3748993440352 3866149485363 3920602295016 4138413533628 4217617620396 4451929710418 4514632945776 5154865980484 5165564640192 5227469726688 5517884711504 5623490160528 6019510594368 6207620300442 6326426430594 6677894565627 6771949418664 7497986880704 7732298970726 7841204590032 8276827067256 8435235240792 8903859420836 9029265891552 9311430450663 10309731960968 10454939453376 11035769423008 11246980321056 11598448456089 12415240600884 12652852861188 13355789131254 13543898837328 15464597941452 15682409180064 16553654134512 16870470481584 17807718841672 18058531783104 18622860901326 20033683696881 20619463921936 22071538846016 22493960642112 23196896912178 24485613407299 24830481201768 25305705722376 26711578262508 27087797674656 30929195882904 31364818360128 33107308269024 33740940963168 34795345368267 35615437683344 37245721802652 40067367393762 41238927843872 46393793824356 48971226814598 49660962403536 50611411444752 53423156525016 54175595349312 60101051090643 61858391765808 66214616538048 67481881926336 69590690736534 71230875366688 73456840221897 74491443605304 80134734787524 82477855687744 92787587648712 97942453629196 99321924807072 101222822889504 106846313050032 120202102181286 123716783531616 139181381473068 142461750733376 146913680443794 148982887210608 160269469575048 185575175297424 195884907258392 198643849614144 202445645779008 213692626100064 220370520665691 240404204362572 247433567063232 278362762946136 293827360887588 297965774421216 320538939150096 371150350594848 391769814516784 427385252200128 440741041331382 480808408725144 556725525892272 587654721775176 595931548842432 641077878300192 661111561997073 742300701189696 783539629033568 881482082662764 961616817450288 1113451051784544 1175309443550352 1282155756600384 1322223123994146 1567079258067136 1762964165325528 1923233634900576 2226902103569088 2350618887100704 2644446247988292 3525928330651056 3846467269801152 4701237774201408 5288892495976584 7051856661302112 10577784991953168 14103713322604224 21155569983906336 42311139967812672
• Sum of all divisors σ(n): 144866836847001600
• Sum of proper divisors (its aliquot sum) s(n): 102555696879188928
• 42311139967812672 is an abundant number, because the sum of its proper divisors (102555696879188928) is greater than itself. Its abundance is 60244556911376256

Bases of 42311139967812672

• Binary: 10010110010100011100000111110011110100101100010001000000₂
• Hexadecimal: 0x9651C1F3D2C440
• Base-36: BKM1PD3KPC0

Squares and roots of 42311139967812672

• 42311139967812672 squared (42311139967812672²) is 1790232565375834918568184083779584
• 42311139967812672 cubed (42311139967812672³) is 75746780648553301078393594516762276296767050088448
• The square root of 42311139967812672 is 205696718.4177051279
• The cube root of 42311139967812672 is 348458.9113630787

Scales and comparisons

• 42,311,139,967,812,672 seconds is equal to 1,345,363,374 years, 1 week, 2 days, 23 hours, 31 minutes, 12 seconds.
• To count from 1 to 42,311,139,967,812,672 would take you about four billion, thirty-six million, ninety thousand, one hundred twenty-two 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 42311139967812672 cubic inches would be around 29038.2 feet tall.

Recreational maths with 42311139967812672

• 42311139967812672 backwards is 27621876993111324
• 42311139967812672 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 42311139967812672's digits is 72
• More coming soon!