42427133254770432

Names of 42427133254770432

• Cardinal: 42427133254770432 can be written as Forty-two quadrillion, four hundred twenty-seven trillion, one hundred thirty-three billion, two hundred fifty-four million, seven hundred seventy thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 4.2427133254770432 × 10¹⁶

Factors of 42427133254770432

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 36839

Divisors of 42427133254770432

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 256 282 313 329 336 376 384 448 564 626 658 672 752 768 896 939 987 1128 1252 1316 1344 1504 1792 1878 1974 2191 2209 2256 2504 2632 2688 3008 3756 3948 4382 4418 4512 5008 5264 5376 6016 6573 6627 7512 7896 8764 8836 9024 10016 10528 12032 13146 13254 14711 15024 15463 15792 17528 17672 18048 20032 21056 26292 26508 29422 30048 30926 31584 35056 35344 36096 36467 40064 42112 44133 46389 52584 53016 58844 60096 61852 63168 70112 70688 72934 80128 84224 88266 92778 97969 102977 105168 106032 109401 117688 120192 123704 126336 140224 141376 145868 176532 185556 195938 205954 210336 212064 218802 235376 240384 247408 252672 255269 280448 282752 291736 293907 308931 353064 371112 391876 411908 420672 424128 437604 470752 494816 510538 560896 565504 583472 587814 617862 685783 691417 706128 742224 765807 783752 823816 841344 848256 875208 941504 989632 1021076 1166944 1175628 1235724 1371566 1382834 1412256 1484448 1531614 1567504 1647632 1682688 1696512 1713949 1750416 1883008 1979264 2042152 2057349 2074251 2333888 2351256 2471448 2743132 2765668 2824512 2968896 3063228 3135008 3295264 3427898 3500832 3766016 3958528 4084304 4114698 4148502 4604543 4667776 4702512 4839919 4942896 5141847 5486264 5531336 5649024 5937792 6126456 6270016 6590528 6855796 7001664 8168608 8229396 8297004 9209086 9335552 9405024 9679838 9885792 10283694 10972528 11062672 11298048 11414171 11875584 11997643 12252912 12540032 13181056 13711592 13813629 14003328 14519757 16337216 16458792 16594008 18418172 18810048 19359676 19771584 20567388 21945056 22125344 22828342 23995286 24505824 25080064 26362112 27423184 27627258 28006656 29039514 32231801 32674432 32917584 33188016 34242513 35992929 36836344 37620096 38719352 39543168 41134776 43890112 44250688 45656684 47990572 49011648 54846368 55254516 58079028 64463602 65348864 65835168 66376032 68485026 71985858 73672688 75240192 77438704 79086336 79899197 80555603 82269552 87780224 88501376 91313368 95981144 96695403 98023296 109692736 110509032 116158056 128927204 131670336 132752064 136970052 143971716 147345376 154877408 159798394 161111206 164539104 175560448 177002752 182626736 191962288 193390806 196046592 216413521 219385472 221018064 232316112 239697591 241666809 257854408 263340672 265504128 273940104 287943432 294690752 309754816 319596788 322222412 329078208 365253472 383924576 386781612 432827042 438770944 442036128 464632224 479395182 483333618 515708816 526681344 531008256 536466037 547880208 563889221 575886864 589381504 619509632 639193576 644444824 649240563 658156416 730506944 767849152 773563224 865654084 884072256 929264448 958790364 966667236 1031417632 1072932074 1095760416 1127778442 1151773728 1178763008 1239019264 1278387152 1288889648 1298481126 1316312832 1461013888 1514894647 1535698304 1547126448 1609398111 1691667663 1731308168 1768144512 1858528896 1917580728 1933334472 2062835264 2145864148 2191520832 2255556884 2303547456 2556774304 2577779296 2596962252 2922027776 3029789294 3071396608 3094252896 3218796222 3383335326 3462616336 3536289024 3572635523 3717057792 3755262259 3835161456 3866668944 4125670528 4291728296 4383041664 4511113768 4544683941 4607094912 5113548608 5155558592 5193924504 6059578588 6188505792 6437592444 6766670652 6925232672 7145271046 7510524518 7670322912 7733337888 8251341056 8583456592 8766083328 9022227536 9089367882 9214189824 10227097216 10311117184 10387849008 10717906569 11265786777 12119157176 12377011584 12875184888 13533341304 13850465344 14290542092 15021049036 15340645824 15466675776 17166913184 18044455072 18178735764 20454194432 20622234368 20775698016 21435813138 22531573554 24238314352 24754023168 25008448661 25213903739 25750369776 27066682608 27700930688 28581084184 30042098072 30681291648 30933351552 34333826368 36088910144 36357471528 41551396032 42871626276 45063147108 48476628704 50016897322 50427807478 51500739552 54133365216 55401861376 57162168368 60084196144 61362583296 61866703104 68667652736 72177820288 72714943056 75025345983 75641711217 83102792064 85743252552 90126294216 96953257408 100033794644 100855614956 103001479104 108266730432 114324336736 120168392288 137335305472 144355640576 145429886112 150050691966 151283422434 166205584128 167913869581 171486505104 176497326173 180252588432 193906514816 200067589288 201711229912 206002958208 216533460864 228648673472 240336784576 290859772224 300101383932 302566844868 335827739162 342973010208 352994652346 360505176864 387813029632 400135178576 403422459824 412005916416 433066921728 457297346944 480673569152 503741608743 529491978519 581719544448 600202767864 605133689736 671655478324 685946020416 705989304692 721010353728 800270357152 806844919648 914594693888 961347138304 1007483217486 1058983957038 1163439088896 1175397087067 1200405535728 1210267379472 1343310956648 1371892040832 1411978609384 1442020707456 1600540714304 1613689839296 2014966434972 2117967914076 2350794174134 2400811071456 2420534758944 2686621913296 2743784081664 2823957218768 2884041414912 3201081428608 3227379678592 3526191261201 4029932869944 4235935828152 4701588348268 4801622142912 4841069517888 5373243826592 5647914437536 6402162857216 6454759357184 7052382522402 7891951870307 8059865739888 8471871656304 9403176696536 9603244285824 9682139035776 10746487653184 11295828875072 14104765044804 15783903740614 16119731479776 16943743312608 18806353393072 19206488571648 19364278071552 21492975306368 22591657750144 23675855610921 28209530089608 31567807481228 32239462959552 33887486625216 37612706786144 42985950612736 45183315500288 47351711221842 55243663092149 56419060179216 63135614962456 64478925919104 67774973250432 75225413572288 94703422443684 110487326184298 112838120358432 126271229924912 128957851838208 135549946500864 150450827144576 165730989276447 189406844887368 220974652368596 225676240716864 252542459849824 300901654289152 331461978552894 378813689774736 441949304737192 451352481433728 505084919699648 662923957105788 757627379549472 883898609474384 902704962867456 1010169839399296 1325847914211576 1515254759098944 1767797218948768 2020339678798592 2651695828423152 3030509518197888 3535594437897536 5303391656846304 6061019036395776 7071188875795072 10606783313692608 14142377751590144 21213566627385216 42427133254770432
• Sum of all divisors σ(n): 132279574151846016
• Sum of proper divisors (its aliquot sum) s(n): 89852440897075584
• 42427133254770432 is an abundant number, because the sum of its proper divisors (89852440897075584) is greater than itself. Its abundance is 47425307642305152

Bases of 42427133254770432

• Binary: 10010110101110110100000010111110011111010001111100000000₂
• Hexadecimal: 0x96BB40BE7D1F00
• Base-36: BLR5VXZRSAO

Squares and roots of 42427133254770432

• 42427133254770432 squared (42427133254770432²) is 1800061636218047070770885021466624
• 42427133254770432 cubed (42427133254770432³) is 76371454906623180757755449750105261450373070061568
• The square root of 42427133254770432 is 205978477.6494147021
• The cube root of 42427133254770432 is 348777.0467714503

Scales and comparisons

• 42,427,133,254,770,432 seconds is equal to 1,349,051,601 years, 39 weeks, 4 days, 7 hours, 47 minutes, 12 seconds.
• To count from 1 to 42,427,133,254,770,432 would take you about four billion, forty-seven million, one hundred fifty-four thousand, eight hundred five 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 42427133254770432 cubic inches would be around 29064.8 feet tall.

Recreational maths with 42427133254770432

• 42427133254770432 backwards is 23407745233172424
• The number of decimal digits it has is: 17
• The sum of 42427133254770432's digits is 60
• More coming soon!