42730837512672000
42,730,837,512,672,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42730837512672000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
42730837512672000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42730837512672000:
28 × 3 × 53 × 172 × 31 × 3571 × 13913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 17 × 31 × 3571 × 13913)See below for interesting mathematical facts about the number 42730837512672000 from the Numbermatics database.
Names of 42730837512672000
- Cardinal: 42730837512672000 can be written as Forty-two quadrillion, seven hundred thirty trillion, eight hundred thirty-seven billion, five hundred twelve million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 4.2730837512672 × 1016
Factors of 42730837512672000
Divisors of 42730837512672000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 31 32 34 40 48 50 51 60 62 64 68 75 80 85 93 96 100 102 120 124 125 128 136 150 155 160 170 186 192 200 204 240 248 250 255 256 272 289 300 310 320 340 372 375 384 400 408 425 465 480 496 500 510 527 544 578 600 620 640 680 744 750 768 775 800 816 850 867 930 960 992 1000 1020 1054 1088 1156 1200 1240 1275 1280 1360 1445 1488 1500 1550 1581 1600 1632 1700 1734 1860 1920 1984 2000 2040 2108 2125 2176 2312 2325 2400 2480 2550 2635 2720 2890 2976 3000 3100 3162 3200 3264 3400 3468 3571 3720 3840 3875 3968 4000 4080 4216 4250 4335 4352 4624 4650 4800 4960 5100 5270 5440 5780 5952 6000 6200 6324 6375 6400 6528 6800 6936 7142 7225 7440 7750 7905 7936 8000 8160 8432 8500 8670 8959 9248 9300 9600 9920 10200 10540 10713 10880 11560 11625 11904 12000 12400 12648 12750 13056 13175 13600 13872 13913 14284 14450 14880 15500 15810 16000 16320 16864 17000 17340 17855 17918 18496 18600 19200 19840 20400 21080 21426 21675 21760 23120 23250 23808 24000 24800 25296 25500 26350 26877 27200 27744 27826 28568 28900 29760 31000 31620 32000 32640 33728 34000 34680 35710 35836 36125 36992 37200 39525 39680 40800 41739 42160 42852 43350 44795 46240 46500 48000 49600 50592 51000 52700 53565 53754 54400 55488 55652 57136 57800 59520 60707 62000 63240 65280 65875 67456 68000 69360 69565 71420 71672 72250 73984 74400 79050 81600 83478 84320 85704 86700 89275 89590 92480 93000 96000 99200 101184 102000 105400 107130 107508 108375 108800 110701 110976 111304 114272 115600 119040 121414 124000 126480 131750 134385 134912 136000 138720 139130 142840 143344 144500 148800 158100 163200 166956 168640 171408 173400 178550 179180 182121 184960 186000 197625 198400 202368 204000 208695 210800 214260 215016 216750 221402 221952 222608 223975 228544 231200 236521 242828 248000 252960 263500 267825 268770 272000 277440 278260 285680 286688 289000 297600 303535 316200 326400 332103 333912 337280 342816 346800 347825 357100 358360 364242 369920 372000 395250 404736 408000 417390 421600 428520 430032 431303 433500 442804 445216 446375 447950 457088 462400 473042 485656 496000 505920 527000 535650 537540 544000 553505 554880 556520 571360 573376 578000 595200 607070 632400 664206 667824 671925 674560 685632 693600 695650 709563 714200 716720 728484 744000 790500 816000 834780 843200 857040 860064 862606 867000 885608 890432 892750 895900 910605 914176 924800 946084 971312 992000 1011840 1032019 1043475 1054000 1071300 1075080 1107010 1109760 1113040 1119875 1142720 1146752 1156000 1182605 1214140 1264800 1293909 1328412 1335648 1339125 1343850 1371264 1387200 1391300 1419126 1428400 1433440 1456968 1488000 1517675 1581000 1632000 1660515 1669560 1686400 1714080 1720128 1725212 1734000 1739125 1771216 1780864 1785500 1791800 1821210 1849600 1881917 1892168 1942624 2023680 2064038 2086950 2108000 2142600 2150160 2156515 2214020 2226080 2239750 2285440 2293504 2312000 2365210 2428280 2529600 2587818 2656824 2671296 2678250 2687700 2742528 2767525 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13438500 13712640 13801696 13837625 13872000 13913000 14169728 14191260 14284000 14334400 14569680 14664302 15055336 15137344 15176750 15480285 15540992 16083428 16512304 16605150 16695600 16864000 17140800 17201280 17252120 17712160 17739075 17808640 17918000 18212100 18819170 18921680 19426240 20104285 20640380 20702544 20869500 21254592 21426000 21501600 21565150 21996453 22140200 22260800 22583004 22706016 22765125 22854400 23311488 23652100 24125142 24282800 24768456 25296000 25800475 25878180 26568240 26712960 26877000 27603392 27675250 27744000 27826000 28228755 28339456 28382520 28568000 28668800 29139360 29328604 29565125 30110672 30274688 30353500 30960570 31992589 32166856 32347725 33024608 33210300 33391200 34281600 34402560 34504240 35424320 35478150 35836000 36424200 36660755 37638340 37843360 38852480 40208570 41280760 41405088 41512875 41739000 42509184 42852000 43003200 43130300 43992906 44280400 44521600 45166008 45412032 45530250 46622976 47047925 47304200 48250284 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614257708800 616073205200 628394669304 633462368250 648665465088 654577780525 675693192800 689207056656 703886496000 717924017350 739287846240 747879402000 767822136000 770091506500 785493336630 794933168000 797738028800 810831831360 837859559072 844616491000 861508820820 890225781514 918942742208 924109807800 953919801600 985717128320 997172536000 1013539789200 1023762848000 1047324448840 1076886026025 1081109108480 1148678427760 1155137259750 1182860553984 1192399752000 1196607043200 1232146410400 1256789338608 1266924736500 1309155561050 1335338672271 1351386385600 1378414113312 1435848034700 1478575692480 1495758804000 1535644272000 1540183013000 1570986673260 1589866336000 1621663662720 1675719118144 1689232982000 1723017641640 1780451563028 1794810043375 1837885484416 1848219615600 1963733341575 1971434256640 1994345072000 2027079578400 2094648897680 2153772052050 2225564453785 2297356855520 2310274519500 2384799504000 2393214086400 2464292820800 2513578677216 2533849473000 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13353386722710 13513863856000 13784141133120 14243612504224 14358480347000 14785756924800 15709866732600 16216636627200 16757191181440 17230176416400 17804515630280 18378854844160 18482196156000 19637333415750 20108629417728 20270795784000 20946488976800 21365418756336 21537720520500 22255644537850 22973568555200 24642928208000 25135786772160 26183111221000 26706773445420 27027727712000 27568282266240 28487225008448 28716960694000 29571513849600 31419733465200 33383466806775 33514382362880 34460352832800 35609031260560 36964392312000 39274666831500 40541591568000 41892977953600 42730837512672 43075441041000 44511289075700 45947137110400 49285856416000 50271573544320 52366222442000 53413546890840 55136564532480 55639111344625 56974450016896 57433921388000 62839466930400 66766933613550 68920705665600 71218062521120 73928784624000 78549333663000 81083183136000 83785955907200 85461675025344 86150882082000 89022578151400 91894274220800 100543147088640 104732444884000 106827093781680 111278222689250 113948900033792 114867842776000 125678933860800 133533867227100 137841411331200 142436125042240 147857569248000 157098667326000 166917334033875 167571911814400 170923350050688 172301764164000 178045156302800 209464889768000 213654187563360 222556445378500 229735685552000 251357867721600 267067734454200 275682822662400 284872250084480 314197334652000 333834668067750 341846700101376 344603528328000 356090312605600 418929779536000 427308375126720 445112890757000 459471371104000 502715735443200 534135468908400 569744500168960 628394669304000 667669336135500 689207056656000 712180625211200 837859559072000 854616750253440 890225781514000 1068270937816800 1256789338608000 1335338672271000 1378414113312000 1424361250422400 1709233500506880 1780451563028000 2136541875633600 2513578677216000 2670677344542000 2848722500844800 3560903126056000 4273083751267200 5341354689084000 7121806252112000 8546167502534400 10682709378168000 14243612504224000 21365418756336000 42730837512672000
- Sum of all divisors σ(n): 155688771895308288
- Sum of proper divisors (its aliquot sum) s(n): 112957934382636288
- 42730837512672000 is an abundant number, because the sum of its proper divisors (112957934382636288) is greater than itself. Its abundance is 70227096869964288
Bases of 42730837512672000
- Binary: 100101111100111101111000011001101110010111010011000000002
- Hexadecimal: 0x97CF7866E5D300
- Base-36: BOQTFR5IJ9C
Squares and roots of 42730837512672000
- 42730837512672000 squared (427308375126720002) is 1825924474534376595760579584000000
- 42730837512672000 cubed (427308375126720003) is 78023282031739449418548135331199664488448000000000
-
The
square root of 42730837512672000 is 206714386.3224618431 -
The
cube root of 42730837512672000 is 349607.2806348729
Scales and comparisons
How big is 42730837512672000?- 42,730,837,512,672,000 seconds is equal to 1,358,708,457 years, 38 weeks, 4 days, 21 hours, 20 minutes.
-
To count from 1 to 42,730,837,512,672,000 would take you about four billion, seventy-six million, one hundred twenty-five thousand, three hundred seventy-three 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 42730837512672000 cubic inches would be around 29133.9 feet tall.
Recreational maths with 42730837512672000
- 42730837512672000 backwards is 00027621573803724
- The number of decimal digits it has is: 17
- The sum of 42730837512672000's digits is 57
- More coming soon!
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MLA style:
"Number 42730837512672000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 42730837512672000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/42730837512672000/
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Numbermatics. 2024. "Number 42730837512672000 - Facts about the integer". https://numbermatics.com/n/42730837512672000/
The information we have on file for 42730837512672000 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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