42144502732800
42,144,502,732,800 is an even composite number composed of seven prime numbers multiplied together.
42144502732800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42144502732800:
211 × 3 × 52 × 13 × 37 × 41 × 13913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 37 × 41 × 13913)See below for interesting mathematical facts about the number 42144502732800 from the Numbermatics database.
Names of 42144502732800
- Cardinal: 42144502732800 can be written as Forty-two trillion, one hundred forty-four billion, five hundred two million, seven hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 4.21445027328 × 1013
Factors of 42144502732800
Divisors of 42144502732800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 41 48 50 52 60 64 65 74 75 78 80 82 96 100 104 111 120 123 128 130 148 150 156 160 164 185 192 195 200 205 208 222 240 246 256 260 296 300 312 320 325 328 370 384 390 400 410 416 444 480 481 492 512 520 533 555 592 600 615 624 640 650 656 740 768 780 800 820 832 888 925 960 962 975 984 1024 1025 1040 1066 1110 1184 1200 1230 1248 1280 1300 1312 1443 1480 1517 1536 1560 1599 1600 1640 1664 1776 1850 1920 1924 1950 1968 2048 2050 2080 2132 2220 2368 2400 2405 2460 2496 2560 2600 2624 2665 2775 2886 2960 3034 3072 3075 3120 3198 3200 3280 3328 3552 3700 3840 3848 3900 3936 4100 4160 4264 4440 4551 4736 4800 4810 4920 4992 5120 5200 5248 5330 5550 5772 5920 6068 6144 6150 6240 6396 6400 6560 6656 7104 7215 7400 7585 7680 7696 7800 7872 7995 8200 8320 8528 8880 9102 9472 9600 9620 9840 9984 10240 10400 10496 10660 11100 11544 11840 12025 12136 12300 12480 12792 12800 13120 13312 13325 13913 14208 14430 14800 15170 15360 15392 15600 15744 15990 16400 16640 17056 17760 18204 18944 19200 19240 19680 19721 19968 20800 20992 21320 22200 22755 23088 23680 24050 24272 24600 24960 25584 25600 26240 26624 26650 27826 28416 28860 29600 30340 30720 30784 31200 31488 31980 32800 33280 34112 35520 36075 36408 37888 37925 38400 38480 39360 39442 39936 39975 41600 41739 41984 42640 44400 45510 46176 47360 48100 48544 49200 49920 51168 51200 52480 53300 55652 56832 57720 59163 59200 60680 61568 62400 62976 63960 65600 66560 68224 69565 71040 72150 72816 75776 75850 76800 76960 78720 78884 79872 79950 83200 83478 83968 85280 88800 91020 92352 94720 96200 97088 98400 98605 99840 102336 104960 106600 111304 113664 113775 115440 118326 118400 121360 123136 124800 125952 127920 131200 133120 136448 139130 142080 144300 145632 151700 153600 153920 157440 157768 159900 166400 166956 170560 177600 180869 182040 184704 189440 192400 194176 196800 197210 199680 204672 208695 209920 213200 222608 227328 227550 230880 236652 236800 242720 246272 249600 251904 255840 262400 272896 278260 284160 288600 291264 295815 303400 307840 314880 315536 319800 332800 333912 341120 347825 355200 361738 364080 369408 378880 384800 388352 393600 394420 399360 409344 417390 419840 426400 445216 455100 461760 473304 473600 485440 492544 493025 499200 511680 514781 524800 542607 545792 556520 568320 570433 577200 582528 591630 606800 615680 629760 631072 639600 665600 667824 682240 695650 710400 723476 728160 738816 769600 776704 787200 788840 818688 834780 852800 890432 904345 910200 923520 946608 947200 970880 985088 986050 998400 1023360 1029562 1043475 1049600 1085214 1091584 1113040 1136640 1140866 1154400 1165056 1183260 1213600 1231360 1259520 1262144 1279200 1335648 1364480 1391300 1420800 1446952 1456320 1477632 1479075 1539200 1544343 1553408 1574400 1577680 1637376 1669560 1705600 1711299 1780864 1808690 1820400 1847040 1893216 1894400 1941760 1972100 1996800 2046720 2059124 2086950 2099200 2170428 2226080 2281732 2308800 2330112 2366520 2427200 2462720 2524288 2558400 2573905 2671296 2713035 2728960 2782600 2841600 2852165 2893904 2912640 2955264 2958150 3078400 3088686 3106816 3148800 3155360 3274752 3339120 3411200 3422598 3561728 3617380 3640800 3694080 3786432 3883520 3944200 4093440 4118248 4173900 4340856 4452160 4521725 4563464 4617600 4660224 4733040 4854400 4925440 5048576 5116800 5147810 5342592 5426070 5457920 5565200 5683200 5704330 5787808 5825280 5916300 6156800 6177372 6297600 6310720 6678240 6692153 6822400 6845196 7123456 7234760 7281600 7388160 7415629 7572864 7721715 7767040 7888400 8186880 8236496 8347800 8556495 8681712 8904320 9043450 9126928 9235200 9320448 9466080 9708800 10097152 10233600 10295620 10685184 10852140 11130400 11408660 11575616 11650560 11832600 12313600 12354744 12621440 12869525 13356480 13384306 13565175 13644800 13690392 14246912 14260825 14469520 14563200 14776320 14831258 15145728 15443430 15534080 15776800 16373760 16472992 16695600 17112990 17363424 17808640 18086900 18253856 18470400 18932160 19417600 20076459 20194304 20467200 20591240 21106021 21370368 21704280 22246887 22260800 22817320 23151232 23301120 23665200 24627200 24709488 25242880 25739050 26712960 26768612 27130350 27289600 27380784 28493824 28521650 28939040 29126400 29662516 30291456 30886860 31553600 32945984 33391200 33460765 34225980 34726848 35617280 36173800 36507712 36940800 37078145 37864320 38608575 38835200 40152918 40388608 40934400 41182480 42212042 42740736 42782475 43408560 44493774 44521600 45634640 46302464 46602240 47330400 49418976 50485760 51478100 53425920 53537224 54260700 54761568 57043300 57878080 58252800 59325032 60582912 61773720 63107200 63318063 65891968 66782400 66921530 68451960 69453696 71234560 72347600 73015424 73881600 74156290 75728640 77217150 77670400 80305836 81868800 82364960 84424084 85481472 85564950 86817120 88987548 89043200 91269280 92604928 94660800 98837952 100382295 100971520 102956200 105530105 106851840 107074448 108521400 109523136 111234435 114086600 115756160 116505600 118650064 121165824 123547440 126214400 126636126 131783936 133564800 133843060 136903920 138907392 142469120 144695200 146030848 148312580 151457280 154434300 160611672 164729920 167303825 168848168 171129900 173634240 177975096 178086400 182538560 185209856 185390725 189321600 197675904 200764590 201943040 205912400 211060210 213703680 214148896 217042800 219046272 222468870 228173200 231512320 233011200 237300128 247094880 252428800 253272252 263567872 267129600 267686120 273807840 274378273 277814784 289390400 292061696 296625160 302914560 308868600 316590315 321223344 329459840 334607650 337696336 342259800 347268480 355950192 356172800 365077120 370419712 370781450 378643200 395351808 401529180 411824800 422120420 427407360 428297792 434085600 438092544 444937740 456346400 463024640 474600256 494189760 501911475 504857600 506544504 527135744 527650525 534259200 535372240 547615680 548756546 555629568 556172175 578780800 584123392 593250320 605829120 617737200 633180630 642446688 658919680 669215300 675392672 684519600 694536960 711900384 712345600 730154240 741562900 757286400 790703616 803058360 823134819 823649600 844240840 856595584 868171200 876185088 889875480 912692800 926049280 949200512 988379520 1003822950 1009715200 1013089008 1054271488 1055301050 1068518400 1070744480 1095231360 1097513092 1111259136 1112344350 1157561600 1168246784 1186500640 1235474400 1266361260 1284893376 1317839360 1338430600 1350785344 1369039200 1371891365 1389073920 1423800768 1460308480 1483125800 1514572800 1581407232 1582951575 1606116720 1646269638 1647299200 1688481680 1713191168 1736342400 1752370176 1779750960 1825385600 1852098560 1898401024 1976759040 2007645900 2026178016 2110602100 2137036800 2141488960 2190462720 2195026184 2224688700 2315123200 2373001280 2470948800 2532722520 2569786752 2635678720 2676861200 2701570688 2738078400 2743782730 2778147840 2847601536 2920616960 2966251600 3029145600 3162814464 3165903150 3212233440 3292539276 3294598400 3376963360 3426382336 3472684800 3504740352 3559501920 3650771200 3796802048 3953518080 4015291800 4052356032 4115674095 4221204200 4282977920 4380925440 4390052368 4449377400 4630246400 4746002560 4941897600 5065445040 5139573504 5271357440 5353722400 5403141376 5476156800 5487565460 5556295680 5695203072 5841233920 5932503200 6331806300 6424466880 6585078552 6589196800 6753926720 6852764672 6859456825 6945369600 7119003840 7301542400 7593604096 7907036160 8030583600 8104712064 8231348190 8442408400 8565955840 8761850880 8780104736 8898754800 9260492800 9492005120 9883795200 10130890080 10279147008 10707444800 10806282752 10952313600 10975130920 11390406144 11865006400 12663612600 12848933760 13170157104 13178393600 13507853440 13705529344 13718913650 13890739200 14238007680 14603084800 15187208192 15814072320 16061167200 16209424128 16462696380 16884816800 17131911680 17523701760 17560209472 17797509600 18984010240 19767590400 20261780160 20558294016 20578370475 21414889600 21612565504 21904627200 21950261840 22780812288 23730012800 25327225200 25697867520 26340314208 26356787200 27015706880 27437827300 27781478400 28476015360 29206169600 32122334400 32418848256 32925392760 33769633600 34263823360 35120418944 35595019200 37968020480 39535180800 40523560320 41116588032 41156740950 42829779200 43225131008 43809254400 43900523680 45561624576 47460025600 50654450400 51395735040 52680628416 54031413760 54875654600 56952030720 64244668800 64837696512 65850785520 67539267200 68527646720 70240837888 71190038400 75936040960 79070361600 81047120640 82313481900 85659558400 87618508800 87801047360 94920051200 101308900800 102791470080 105361256832 108062827520 109751309200 113904061440 128489337600 129675393024 131701571040 135078534400 140481675776 142380076800 162094241280 164626963800 171319116800 175602094720 189840102400 202617801600 205582940160 210722513664 216125655040 219502618400 227808122880 256978675200 263403142080 270157068800 280963351552 284760153600 324188482560 329253927600 342638233600 351204189440 379680204800 405235603200 421445027328 439005236800 513957350400 526806284160 540314137600 561926703104 569520307200 648376965120 658507855200 702408378880 810471206400 842890054656 878010473600 1027914700800 1053612568320 1080628275200 1139040614400 1317015710400 1404816757760 1620942412800 1685780109312 1756020947200 2107225136640 2634031420800 2809633515520 3241884825600 3512041894400 4214450273280 5268062841600 7024083788800 8428900546560 10536125683200 14048167577600 21072251366400 42144502732800
- Sum of all divisors σ(n): 157865966556480
- Sum of proper divisors (its aliquot sum) s(n): 115721463823680
- 42144502732800 is an abundant number, because the sum of its proper divisors (115721463823680) is greater than itself. Its abundance is 73576961090880
Bases of 42144502732800
- Binary: 10011001010100100010000001110101011000000000002
- Hexadecimal: 0x2654881D5800
- Base-36: EXSX0SDMO
Squares and roots of 42144502732800
- 42144502732800 squared (421445027328002) is 1776159110594986668195840000
- 42144502732800 cubed (421445027328003) is 74855342490358033071759145725591552000000
-
The
square root of 42144502732800 is 6491879.7534150307 -
The
cube root of 42144502732800 is 34800.0855276007
Scales and comparisons
How big is 42144502732800?- 42,144,502,732,800 seconds is equal to 1,340,064 years, 42 weeks, 6 days, 10 hours, 40 minutes.
-
To count from 1 to 42,144,502,732,800 would take you about three million, three hundred fifty thousand, one hundred sixty-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 42144502732800 cubic inches would be around 2900 feet tall.
Recreational maths with 42144502732800
- 42144502732800 backwards is 00823720544124
- The number of decimal digits it has is: 14
- The sum of 42144502732800's digits is 42
- More coming soon!
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The information we have on file for 42144502732800 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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