42681120255296307200
42,681,120,255,296,307,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 42681120255296307200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
42681120255296307200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 42681120255296307200:
215 × 52 × 132 × 1669 × 135912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 1669 × 13591 × 13591)See below for interesting mathematical facts about the number 42681120255296307200 from the Numbermatics database.
Names of 42681120255296307200
- Cardinal: 42681120255296307200 can be written as Forty-two quintillion, six hundred eighty-one quadrillion, one hundred twenty trillion, two hundred fifty-five billion, two hundred ninety-six million, three hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 4.26811202552963072 × 1019
Factors of 42681120255296307200
Divisors of 42681120255296307200
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 169 200 208 256 260 320 325 338 400 416 512 520 640 650 676 800 832 845 1024 1040 1280 1300 1352 1600 1664 1669 1690 2048 2080 2560 2600 2704 3200 3328 3338 3380 4096 4160 4225 5120 5200 5408 6400 6656 6676 6760 8192 8320 8345 8450 10240 10400 10816 12800 13312 13352 13520 13591 16384 16640 16690 16900 20480 20800 21632 21697 25600 26624 26704 27040 27182 32768 33280 33380 33800 40960 41600 41725 43264 43394 51200 53248 53408 54080 54364 66560 66760 67600 67955 81920 83200 83450 86528 86788 102400 106496 106816 108160 108485 108728 133120 133520 135200 135910 163840 166400 166900 173056 173576 176683 204800 212992 213632 216320 216970 217456 266240 267040 270400 271820 282061 332800 333800 339775 346112 347152 353366 409600 425984 427264 432640 433940 434912 532480 534080 540800 542425 543640 564122 665600 667600 679550 692224 694304 706732 819200 854528 865280 867880 869824 883415 1064960 1068160 1081600 1084850 1087280 1128244 1331200 1335200 1359100 1384448 1388608 1410305 1413464 1709056 1730560 1735760 1739648 1766830 2129920 2136320 2163200 2169700 2174560 2256488 2296879 2662400 2670400 2718200 2768896 2777216 2820610 2826928 3418112 3461120 3471520 3479296 3533660 4272640 4326400 4339400 4349120 4417075 4512976 4593758 5324800 5340800 5436400 5537792 5554432 5641220 5653856 6836224 6922240 6943040 6958592 7051525 7067320 8545280 8652800 8678800 8698240 8834150 9025952 9187516 10649600 10681600 10872800 11108864 11282440 11307712 11484395 13672448 13844480 13886080 13917184 14103050 14134640 17090560 17305600 17357600 17396480 17668300 18051904 18375032 21363200 21745600 22217728 22564880 22615424 22683379 22968790 27344896 27688960 27772160 27834368 28206100 28269280 34181120 34611200 34715200 34792960 35336600 36103808 36750064 42726400 43491200 44435456 45129760 45230848 45366758 45937580 54689792 55544320 55668736 56412200 56538560 57421975 68362240 69222400 69430400 69585920 70673200 72207616 73500128 85452800 86982400 88870912 90259520 90461696 90733516 91875160 111088640 111337472 112824400 113077120 113416895 114843950 136724480 138444800 138860800 139171840 141346400 144415232 147000256 170905600 173964800 177741824 180519040 180923392 181467032 183750320 184715281 222177280 222674944 225648800 226154240 226833790 229687900 273448960 277721600 278343680 282692800 288830464 294000512 294883927 341811200 347929600 355483648 361038080 361846784 362934064 367500640 369430562 444354560 445349888 451297600 452308480 453667580 459375800 555443200 556687360 565385600 567084475 577660928 588001024 589767854 683622400 695859200 710967296 722076160 723693568 725868128 735001280 738861124 888709120 902595200 904616960 907335160 918751600 923576405 1110886400 1113374720 1130771200 1134168950 1155321856 1176002048 1179535708 1367244800 1391718400 1444152320 1447387136 1451736256 1470002560 1474419635 1477722248 1777418240 1805190400 1809233920 1814670320 1837503200 1847152810 2221772800 2226749440 2261542400 2268337900 2310643712 2352004096 2359071416 2401298653 2783436800 2888304640 2894774272 2903472512 2940005120 2948839270 2955444496 3554836480 3610380800 3618467840 3629340640 3675006400 3694305620 3833491051 4443545600 4523084800 4536675800 4617882025 4621287424 4704008192 4718142832 4802597306 5566873600 5776609280 5789548544 5806945024 5880010240 5897678540 5910888992 7220761600 7236935680 7258681280 7350012800 7372098175 7388611240 7666982102 8887091200 9046169600 9073351600 9235764050 9242574848 9408016384 9436285664 9605194612 11133747200 11553218560 11613890048 11760020480 11795357080 11821777984 12006493265 14441523200 14473871360 14517362560 14700025600 14744196350 14777222480 15333964204 17774182400 18092339200 18146703200 18471528100 18816032768 18872571328 19167455255 19210389224 23106437120 23227780096 23520040960 23590714160 23643555968 24012986530 28883046400 28947742720 29034725120 29400051200 29488392700 29554444960 30667928408 31216882489 36184678400 36293406400 36943056200 37632065536 37745142656 38334910510 38420778448 46212874240 46455560192 47040081920 47181428320 47287111936 48025973060 57766092800 58069450240 58800102400 58976785400 59108889920 60032466325 61335856816 62433764978 72369356800 72586812800 73886112400 75264131072 75490285312 76669821020 76841556896 92911120384 94080163840 94362856640 94574223872 95837276275 96051946120 115532185600 116138900480 117600204800 117953570800 118217779840 120064932650 122671713632 124867529956 144738713600 145173625600 147772224800 150980570624 153339642040 153683113792 156084412445 185822240768 188160327680 188725713280 189148447744 191674552550 192103892240 231064371200 232277800960 235200409600 235907141600 236435559680 240129865300 245343427264 249735059912 290347251200 295544449600 301961141248 306679284080 307366227584 308289803989 312168824890 371644481536 376320655360 377451426560 378296895488 383349105100 384207784480 464555601920 470400819200 471814283200 472871119360 480259730600 490686854528 499470119824 580694502400 591088899200 603922282496 613358568160 614732455168 616579607978 624337649780 743288963072 754902853120 756593790976 766698210200 768415568960 780422062225 929111203840 940801638400 943628566400 945742238720 960519461200 981373709056 998940239648 1161389004800 1182177798400 1207844564992 1226717136320 1229464910336 1233159215956 1248675299560 1509805706240 1513187581952 1533396420400 1536831137920 1541449019945 1560844124450 1858222407680 1881603276800 1887257132800 1891484477440 1921038922400 1962747418112 1997880479296 2322778009600 2364355596800 2415689129984 2453434272640 2458929820672 2466318431912 2497350599120 3019611412480 3026375163904 3066792840800 3073662275840 3082898039890 3121688248900 3716444815360 3774514265600 3782968954880 3842077844800 3925494836224 3995760958592 4007767451857 4645556019200 4728711193600 4831378259968 4906868545280 4917859641344 4932636863824 4994701198240 6039222824960 6052750327808 6133585681600 6147324551680 6165796079780 6243376497800 7549028531200 7565937909760 7684155689600 7707245099725 7850989672448 7991521917184 8015534903714 9291112038400 9457422387200 9662756519936 9813737090560 9835719282688 9865273727648 9989402396480 12078445649920 12267171363200 12294649103360 12331592159560 12486752995600 15098057062400 15131875819520 15368311379200 15414490199450 15701979344896 15983043834368 16031069807428 18582224076800 18914844774400 19627474181120 19671438565376 19730547455296 19978804792960 20038837259285 24156891299840 24534342726400 24589298206720 24663184319120 24973505991200 30196114124800 30263751639040 30736622758400 30828980398900 31403958689792 31966087668736 32062139614856 37829689548800 39254948362240 39342877130752 39461094910592 39957609585920 40077674518570 48313782599680 49068685452800 49178596413440 49326368638240 49947011982400 52100976874141 60392228249600 61473245516800 61657960797800 62807917379584 63932175337472 64124279229712 75659379097600 78509896724480 78685754261504 78922189821184 79915219171840 80155349037140 98137370905600 98357192826880 98652737276480 99894023964800 100194186296425 104201953748282 120784456499200 122946491033600 123315921595600 125615834759168 127864350674944 128248558459424 151318758195200 157019793448960 157844379642368 159830438343680 160310698074280 196274741811200 196714385653760 197305474552960 199788047929600 200388372592850 208403907496564 241568912998400 245892982067200 246631843191200 255728701349888 256497116918848 260504884370705 314039586897920 315688759284736 319660876687360 320621396148560 392549483622400 393428771307520 394610949105920 399576095859200 400776745185700 416807814993128 491785964134400 493263686382400 511457402699776 512994233837696 521009768741410 628079173795840 631377518569472 639321753374720 641242792297120 785098967244800 789221898211840 799152191718400 801553490371400 833615629986256 983571928268800 986527372764800 1022914805399552 1025988467675392 1042019537482820 1262755037138944 1278643506749440 1282485584594240 1302524421853525 1570197934489600 1578443796423680 1598304383436800 1603106980742800 1667231259972512 1967143856537600 1973054745529600 2051976935350784 2084039074965640 2525510074277888 2557287013498880 2564971169188480 2605048843707050 3140395868979200 3156887592847360 3196608766873600 3206213961485600 3334462519945024 3946109491059200 4103953870701568 4168078149931280 5051020148555776 5114574026997760 5129942338376960 5210097687414100 6313775185694720 6393217533747200 6412427922971200 6668925039890048 7892218982118400 8207907741403136 8336156299862560 10102040297111552 10259884676753920 10420195374828200 12627550371389440 12786435067494400 12824855845942400 13337850079780096 15784437964236800 16415815482806272 16672312599725120 20519769353507840 20840390749656400 25255100742778880 25572870134988800 25649711691884800 26675700159560192 31568875928473600 32831630965612544 33344625199450240 41039538707015680 41680781499312800 50510201485557760 51299423383769600 53351400319120384 63137751856947200 65663261931225088 66689250398900480 82079077414031360 83361562998625600 102598846767539200 106702800638240768 126275503713894400 131326523862450176 133378500797800960 164158154828062720 166723125997251200 205197693535078400 213405601276481536 252551007427788800 266757001595601920 328316309656125440 333446251994502400 410395387070156800 426811202552963072 533514003191203840 656632619312250880 666892503989004800 820790774140313600 853622405105926144 1067028006382407680 1333785007978009600 1641581548280627200 1707244810211852288 2134056012764815360 2667570015956019200 3283163096561254400 4268112025529630720 5335140031912038400 8536224051059261440 10670280063824076800 21340560127648153600 42681120255296307200
- Sum of all divisors σ(n): 114693112641926785050
- Sum of proper divisors (its aliquot sum) s(n): 72011992386630477850
- 42681120255296307200 is an abundant number, because the sum of its proper divisors (72011992386630477850) is greater than itself. Its abundance is 29330872131334170650
Bases of 42681120255296307200
- Binary: 1001010000010100011100110010111100111010001010101010000000000000002
- Hexadecimal: 0x25051CCBCE8AA8000
- Base-36: 909REEXIUX2BK
Squares and roots of 42681120255296307200
- 42681120255296307200 squared (426811202552963072002) is 1821678026247064711496332469956771840000
- 42681120255296307200 cubed (426811202552963072003) is 77751258904681791607400641394568439639079594384949248000000
-
The
square root of 42681120255296307200 is 6533078926.1493165585 -
The
cube root of 42681120255296307200 is 3494716.3885448003
Scales and comparisons
How big is 42681120255296307200?- 42,681,120,255,296,307,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,681,120,255,296,307,200 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42681120255296307200 cubic inches would be around 291226.4 feet tall.
Recreational maths with 42681120255296307200
- 42681120255296307200 backwards is 00270369255202118624
- 42681120255296307200 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 42681120255296307200's digits is 65
- More coming soon!
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The information we have on file for 42681120255296307200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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