42680560658944000
42,680,560,658,944,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42680560658944000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1248 divisors.
42680560658944000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 42680560658944000:
212 × 53 × 13 × 172 × 2813
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 17 × 281 × 281 × 281)See below for interesting mathematical facts about the number 42680560658944000 from the Numbermatics database.
Names of 42680560658944000
- Cardinal: 42680560658944000 can be written as Forty-two quadrillion, six hundred eighty trillion, five hundred sixty billion, six hundred fifty-eight million, nine hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.2680560658944 × 1016
Factors of 42680560658944000
Divisors of 42680560658944000
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 64 65 68 80 85 100 104 125 128 130 136 160 170 200 208 221 250 256 260 272 281 289 320 325 340 400 416 425 442 500 512 520 544 562 578 640 650 680 800 832 850 884 1000 1024 1040 1088 1105 1124 1156 1280 1300 1360 1405 1445 1600 1625 1664 1700 1768 2000 2048 2080 2125 2176 2210 2248 2312 2560 2600 2720 2810 2890 3200 3250 3328 3400 3536 3653 3757 4000 4096 4160 4250 4352 4420 4496 4624 4777 5120 5200 5440 5525 5620 5780 6400 6500 6656 6800 7025 7072 7225 7306 7514 8000 8320 8500 8704 8840 8992 9248 9554 10240 10400 10880 11050 11240 11560 12800 13000 13312 13600 14050 14144 14450 14612 15028 16000 16640 17000 17408 17680 17984 18265 18496 18785 19108 20480 20800 21760 22100 22480 23120 23885 25600 26000 26624 27200 27625 28100 28288 28900 29224 30056 32000 33280 34000 34816 35125 35360 35968 36125 36530 36992 37570 38216 41600 43520 44200 44960 46240 47770 51200 52000 53248 54400 55250 56200 56576 57800 58448 60112 62101 64000 66560 68000 69632 70250 70720 71936 72250 73060 73984 75140 76432 78961 81209 83200 87040 88400 89920 91325 92480 93925 95540 102400 104000 108800 110500 112400 113152 115600 116896 119425 120224 124202 128000 133120 136000 140500 141440 143872 144500 146120 147968 150280 152864 157922 162418 166400 174080 176800 179840 182650 184960 187850 191080 208000 217600 221000 224800 226304 231200 233792 238850 240448 248404 256000 266240 272000 281000 282880 287744 289000 292240 295936 300560 305728 310505 315844 324836 332800 348160 353600 359680 365300 369920 375700 382160 394805 406045 416000 435200 442000 449600 452608 456625 462400 467584 469625 477700 480896 496808 512000 544000 562000 565760 575488 578000 584480 591872 597125 601120 611456 621010 631688 649672 665600 707200 719360 730600 739840 751400 764320 789610 812090 832000 870400 884000 899200 905216 913250 924800 935168 939250 955400 961792 993616 1026493 1055717 1088000 1124000 1131520 1150976 1156000 1168960 1183744 1194250 1202240 1222912 1242020 1263376 1299344 1331200 1342337 1414400 1438720 1461200 1479680 1502800 1528640 1552525 1579220 1624180 1664000 1740800 1768000 1798400 1826500 1849600 1870336 1878500 1910800 1923584 1974025 1987232 2030225 2052986 2111434 2176000 2248000 2263040 2312000 2337920 2388500 2404480 2445824 2484040 2526752 2598688 2684674 2828800 2877440 2922400 2959360 3005600 3057280 3105050 3158440 3248360 3328000 3536000 3596800 3653000 3699200 3740672 3757000 3821600 3847168 3948050 3974464 4060450 4105972 4222868 4352000 4496000 4526080 4624000 4675840 4777000 4808960 4891648 4968080 5053504 5132465 5197376 5278585 5369348 5657600 5754880 5844800 5918720 6011200 6114560 6210100 6316880 6496720 6656000 6711685 7072000 7193600 7306000 7398400 7481344 7514000 7643200 7694336 7762625 7896100 7948928 8120900 8211944 8445736 8704000 8992000 9248000 9351680 9554000 9617920 9783296 9870125 9936160 10107008 10151125 10264930 10394752 10557170 10738696 11315200 11689600 12022400 12229120 12420200 12633760 12993440 13423370 14144000 14387200 14612000 14796800 14962688 15028000 15286400 15388672 15525250 15792200 15897856 16241800 16423888 16891472 17450381 17984000 18496000 18703360 19108000 19235840 19566592 19740250 19872320 20214016 20302250 20529860 20789504 21114340 21477392 22188041 22630400 22819729 23379200 24044800 24458240 24840400 25267520 25662325 25986880 26392925 26846740 28288000 28774400 29224000 29593600 30056000 30572800 31050500 31584400 31795712 32483600 32847776 33558425 33782944 34900762 35968000 36992000 37406720 38216000 38471680 39480500 39744640 40428032 40604500 41059720 41579008 42228680 42954784 44376082 45639458 46758400 48089600 48916480 49680800 50535040 51324650 51973760 52785850 53693480 56576000 58448000 60112000 61145600 62101000 63168800 63591424 64967200 65695552 67116850 67565888 69801524 71936000 73984000 74813440 76432000 76943360 78961000 79489280 80856064 81209000 82119440 83158016 84457360 85909568 87251905 88752164 91278916 93516800 96179200 97832960 99361600 101070080 102649300 103947520 105571700 107386960 110940205 113152000 114098645 116896000 120224000 122291200 124202000 126337600 127182848 128311625 129934400 131391104 131964625 134233700 135131776 139603048 143872000 147968000 152864000 157922000 158978560 161712128 162418000 164238880 166316032 167792125 168914720 171819136 174503810 177504328 182557832 187033600 192358400 198723200 202140160 205298600 207895040 211143400 214773920 221880410 228197290 233792000 240448000 244582400 248404000 252675200 254365696 256623250 259868800 262782208 263929250 268467400 270263552 279206096 288444533 296656477 305728000 315844000 317957120 323424256 324836000 328477760 332632064 335584250 337829440 343638272 349007620 355008656 365115664 374067200 377196697 384716800 397446400 404280320 410597200 415790080 422286800 429547840 436259525 443760820 456394580 467584000 480896000 489164800 496808000 505350400 513246500 519737600 525564416 527858500 536934800 540527104 554701025 558412192 570493225 576889066 593312954 611456000 631688000 635914240 649672000 656955520 671168500 675658880 687276544 698015240 710017312 730231328 754393394 794892800 808560640 821194400 831580160 844573600 859095680 872519050 887521640 912789160 935168000 961792000 993616000 1010700800 1026493000 1039475200 1051128832 1055717000 1073869600 1081054208 1109402050 1116824384 1140986450 1153778132 1186625908 1222912000 1263376000 1271828480 1299344000 1313911040 1342337000 1351317760 1374553088 1396030480 1420034624 1442222665 1460462656 1483282385 1508786788 1589785600 1617121280 1642388800 1663160320 1689147200 1718191360 1745038100 1775043280 1825578320 1870336000 1885983485 1923584000 1987232000 2021401600 2052986000 2078950400 2102257664 2111434000 2147739200 2162108416 2181297625 2218804100 2233648768 2281972900 2307556264 2373251816 2445824000 2526752000 2598688000 2627822080 2684674000 2702635520 2749106176 2773505125 2792060960 2840069248 2852466125 2884445330 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15897856000 16423888000 16891472000 17181913600 17450381000 17750432800 17869190144 18255783200 18460450112 18859834850 18986014528 19614228244 20214016000 20789504000 21022576640 21477392000 21621084160 22188041000 22336487680 22720553984 22819729000 23075562640 23367402496 23732518160 24140588608 24517785305 25649375396 26278220800 27026355200 27491061760 27920609600 28400692480 28844453300 29209253120 29665647700 30175735760 31795712000 32061719245 32847776000 33782944000 34363827200 34900762000 35500865600 35738380288 36055566625 36511566400 36920900224 37082059625 37719669700 37972029056 39228456488 40428032000 41579008000 42954784000 44376082000 44672975360 45441107968 45639458000 46151125280 46734804992 47149587125 47465036320 48281177216 49035570610 51298750792 52556441600 54052710400 55841219200 56801384960 57688906600 58418506240 59331295400 60351471520 64123438490 65695552000 67565888000 68727654400 69801524000 71001731200 71476760576 72111133250 73023132800 73841800448 74164119250 75439339400 75944058112 78456912976 83360470037 85909568000 88752164000 89345950720 90882215936 91278916000 92302250560 93469609984 94299174250 94930072640 96562354432 98071141220 102597501584 105112883200 108105420800 111682438400 113602769920 115377813200 116837012480 118662590800 120702943040 122588926525 128246876980 131391104000 135131776000 137455308800 139603048000 142003462400 144222266500 146046265600 147683600896 148328238500 150878678800 151888116224 156913825952 160308596225 166720940074 171819136000 177504328000 178691901440 182557832000 184604501120 188598348500 189860145280 193124708864 196142282440 205195003168 223364876800 227205539840 230755626400 233674024960 237325181600 241405886080 245177853050 256493753960 262782208000 270263552000 279206096000 284006924800 288444533000 292092531200 295367201792 296656477000 301757357600 303776232448 313827651904 320617192450 333441880148 343638272000 355008656000 357383802880 365115664000 369209002240 377196697000 379720290560 386249417728 392284564880 410390006336 416802350185 446729753600 454411079680 461511252800 467348049920 474650363200 482811772160 490355706100 512987507920 525564416000 540527104000 558412192000 568013849600 576889066000 584185062400 590734403584 593312954000 603514715200 607552464896 612944632625 627655303808 641234384900 666883760296 687276544000 710017312000 730231328000 738418004480 754393394000 759440581120 772498835456 784569129760 801542981125 820780012672 833604700370 893459507200 923022505600 949300726400 965623544320 980711412200 1025975015840 1116824384000 1136027699200 1153778132000 1168370124800 1181468807168 1186625908000 1207029430400 1215104929792 1225889265250 1255310607616 1282468769800 1333767520592 1420034624000 1460462656000 1476836008960 1508786788000 1518881162240 1544997670912 1569138259520 1603085962250 1641560025344 1667209400740 1786919014400 1846045011200 1898601452800 1931247088640 1961422824400 2051950031680 2084011750925 2233648768000 2272055398400 2307556264000 2336740249600 2373251816000 2414058860800 2451778530500 2510621215232 2564937539600 2667535041184 2840069248000 2920925312000 2953672017920 3017573576000 3037762324480 3138276519040 3206171924500 3283120050688 3334418801480 3692090022400 3797202905600 3862494177280 3922845648800 4103900063360 4168023501850 4467297536000 4615112528000 4746503632000 4828117721600 4903557061000 5021242430464 5129875079200 5335070082368 5680138496000 5841850624000 5907344035840 6035147152000 6075524648960 6276553038080 6412343849000 6566240101376 6668837602960 7384180044800 7594405811200 7724988354560 7845691297600 8207800126720 8336047003700 8934595072000 9230225056000 9493007264000 9656235443200 9807114122000 10042484860928 10259750158400 10420058754625 10670140164736 11360276992000 11683701248000 12070294304000 12553106076160 12824687698000 13132480202752 13337675205920 14768360089600 15188811622400 15691382595200 16415600253440 16672094007400 18460450112000 18986014528000 19312470886400 19614228244000 20084969721856 20519500316800 20840117509250 21340280329472 24140588608000 25106212152320 25649375396000 26264960405504 26675350411840 29536720179200 30377623244800 31382765190400 32831200506880 33344188014800 36920900224000 37972029056000 38624941772800 39228456488000 41039000633600 41680235018500 42680560658944 48281177216000 50212424304640 51298750792000 53350700823680 62765530380800 65662401013760 66688376029600 73841800448000 75944058112000 78456912976000 82078001267200 83360470037000 85361121317888 96562354432000 100424848609280 102597501584000 106701401647360 125531060761600 131324802027520 133376752059200 147683600896000 151888116224000 156913825952000 164156002534400 166720940074000 170722242635776 193124708864000 205195003168000 213402803294720 251062121523200 266753504118400 313827651904000 328312005068800 333441880148000 341444485271552 410390006336000 426805606589440 502124243046400 533507008236800 627655303808000 656624010137600 666883760296000 820780012672000 853611213178880 1067014016473600 1255310607616000 1333767520592000 1641560025344000 1707222426357760 2134028032947200 2510621215232000 2667535041184000 3283120050688000 4268056065894400 5335070082368000 8536112131788800 10670140164736000 21340280329472000 42680560658944000
- Sum of all divisors σ(n): 122291193539223072
- Sum of proper divisors (its aliquot sum) s(n): 79610632880279072
- 42680560658944000 is an abundant number, because the sum of its proper divisors (79610632880279072) is greater than itself. Its abundance is 36930072221335072
Bases of 42680560658944000
- Binary: 100101111010000110111110011010001110010000010000000000002
- Hexadecimal: 0x97A1BE68E41000
- Base-36: BO8ZUVWWXZ4
Squares and roots of 42680560658944000
- 42680560658944000 squared (426805606589440002) is 1821630258161798291487195136000000
- 42680560658944000 cubed (426805606589440003) is 77748200731642450521884734619494471696384000000000
-
The
square root of 42680560658944000 is 206592741.0606287493 -
The
cube root of 42680560658944000 is 349470.1115288315
Scales and comparisons
How big is 42680560658944000?- 42,680,560,658,944,000 seconds is equal to 1,357,109,809 years, 16 weeks, 1 day, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 42,680,560,658,944,000 would take you about four billion, seventy-one million, three hundred twenty-nine thousand, four hundred twenty-seven 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 42680560658944000 cubic inches would be around 29122.5 feet tall.
Recreational maths with 42680560658944000
- 42680560658944000 backwards is 00044985606508624
- The number of decimal digits it has is: 17
- The sum of 42680560658944000's digits is 67
- More coming soon!
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Numbermatics. (2024). Number 42680560658944000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/42680560658944000/
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The information we have on file for 42680560658944000 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!
Keywords: Divisors of 42680560658944000, math, Factors of 42680560658944000, curriculum, school, college, exams, university, Prime factorization of 42680560658944000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, six hundred eighty trillion, five hundred sixty billion, six hundred fifty-eight million, nine hundred forty-four thousand.