42144916896000
42,144,916,896,000 is an even composite number composed of five prime numbers multiplied together.
42144916896000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42144916896000:
28 × 35 × 53 × 373 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 37 × 37 × 37 × 107)See below for interesting mathematical facts about the number 42144916896000 from the Numbermatics database.
Names of 42144916896000
- Cardinal: 42144916896000 can be written as Forty-two trillion, one hundred forty-four billion, nine hundred sixteen million, eight hundred ninety-six thousand.
Scientific notation
- Scientific notation: 4.2144916896 × 1013
Factors of 42144916896000
Divisors of 42144916896000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 37 40 45 48 50 54 60 64 72 74 75 80 81 90 96 100 107 108 111 120 125 128 135 144 148 150 160 162 180 185 192 200 214 216 222 225 240 243 250 256 270 288 296 300 320 321 324 333 360 370 375 384 400 405 428 432 444 450 480 486 500 535 540 555 576 592 600 640 642 648 666 675 720 740 750 768 800 810 856 864 888 900 925 960 963 972 999 1000 1070 1080 1110 1125 1152 1184 1200 1215 1280 1284 1296 1332 1350 1369 1440 1480 1500 1600 1605 1620 1665 1712 1728 1776 1800 1850 1920 1926 1944 1998 2000 2025 2140 2160 2220 2250 2304 2368 2400 2430 2568 2592 2664 2675 2700 2738 2775 2880 2889 2960 2997 3000 3200 3210 3240 3330 3375 3424 3456 3552 3600 3700 3840 3852 3888 3959 3996 4000 4050 4107 4280 4320 4440 4500 4625 4736 4800 4815 4860 4995 5136 5184 5328 5350 5400 5476 5550 5760 5778 5920 5994 6000 6075 6400 6420 6480 6660 6750 6845 6848 6912 7104 7200 7400 7704 7776 7918 7992 8000 8025 8100 8214 8325 8560 8640 8667 8880 8991 9000 9250 9472 9600 9630 9720 9990 10125 10272 10368 10656 10700 10800 10952 11100 11520 11556 11840 11877 11988 12000 12150 12321 12840 12960 13320 13375 13500 13690 13696 13875 14208 14400 14445 14800 14985 15408 15552 15836 15984 16000 16050 16200 16428 16650 17120 17280 17334 17760 17982 18000 18500 19200 19260 19440 19795 19980 20250 20535 20544 20736 21312 21400 21600 21904 22200 23112 23680 23754 23976 24000 24075 24300 24642 24975 25680 25920 26001 26640 26750 27000 27380 27392 27750 28416 28800 28890 29600 29970 30375 30816 31104 31672 31968 32000 32100 32400 32856 33300 34225 34240 34560 34668 35520 35631 35964 36000 36963 37000 38520 38880 39590 39960 40125 40500 41070 41088 41625 42624 42800 43200 43335 43808 44400 44955 46224 47360 47508 47952 48000 48150 48600 49284 49950 50653 51360 51840 52002 53280 53500 54000 54760 55500 57600 57780 59200 59385 59940 60750 61605 61632 62208 63344 63936 64200 64800 65712 66600 68450 68480 69336 71040 71262 71928 72000 72225 73926 74000 74925 77040 77760 79180 79920 80250 81000 82140 82176 83250 85248 85600 86400 86670 87616 88800 89910 92448 95016 95904 96000 96300 97200 98568 98975 99900 101306 102675 102720 103680 104004 106560 106893 107000 108000 109520 110889 111000 115560 118400 118770 119880 120375 121500 123210 123264 124875 126688 127872 128400 129600 130005 131424 133200 136900 136960 138672 142080 142524 143856 144000 144450 146483 147852 148000 149850 151959 154080 155520 158360 159840 160500 162000 164280 166500 171125 171200 172800 173340 175232 177600 178155 179820 184815 184896 190032 191808 192600 194400 197136 197950 199800 202612 205350 205440 208008 213120 213786 214000 216000 216675 219040 221778 222000 224775 231120 236800 237540 239760 240750 243000 246420 246528 249750 253265 253376 255744 256800 259200 260010 262848 266400 273800 277344 285048 287712 288000 288900 292966 295704 296000 296925 299700 303918 308025 308160 311040 316720 319680 320679 321000 324000 328560 332667 333000 342250 342400 346680 350464 355200 356310 359640 361125 369630 369792 374625 380064 383616 385200 388800 394272 395900 399600 405224 410700 410880 416016 426240 427572 428000 432000 433350 438080 439449 443556 444000 449550 455877 462240 475080 479520 481500 486000 492840 494875 499500 506530 506752 513375 513600 518400 520020 525696 532800 534465 547600 554445 554688 570096 575424 577800 585932 591408 592000 593850 599400 607836 616050 616320 633440 639360 641358 642000 648000 650025 657120 665334 666000 684500 684800 693360 710400 712620 719280 722250 732415 739260 739584 749250 759795 760128 767232 770400 777600 788544 791800 799200 810448 821400 832032 855144 856000 864000 866700 876160 878898 887112 888000 890775 899100 911754 924075 924480 950160 959040 962037 963000 972000 985680 989750 999000 1013060 1013504 1026750 1027200 1040040 1051392 1065600 1068930 1083375 1095200 1108890 1109376 1123875 1140192 1150848 1155600 1171864 1182816 1184000 1187700 1198800 1215672 1232100 1232640 1266325 1266880 1278720 1282716 1284000 1296000 1300050 1314240 1318347 1330668 1332000 1367631 1369000 1386720 1425240 1438560 1444500 1464830 1478520 1484625 1498500 1519590 1520256 1540125 1540800 1555200 1577088 1583600 1598400 1603395 1620896 1642800 1663335 1664064 1710288 1712000 1733400 1752320 1757796 1774224 1776000 1781550 1798200 1823508 1848150 1848960 1900320 1918080 1924074 1926000 1944000 1971360 1979500 1998000 2026120 2053500 2054400 2080080 2131200 2137860 2166750 2190400 2197245 2217780 2218752 2247750 2279385 2280384 2301696 2311200 2343728 2365632 2375400 2397600 2431344 2464200 2532650 2533760 2565432 2568000 2592000 2600100 2628480 2636694 2661336 2664000 2672325 2735262 2738000 2772225 2773440 2850480 2877120 2889000 2929660 2957040 2969250 2997000 3039180 3040512 3080250 3081600 3154176 3167200 3196800 3206790 3241792 3250125 3285600 3326670 3328128 3420576 3424000 3466800 3515592 3548448 3552000 3563100 3596400 3647016 3662075 3696300 3697920 3798975 3800640 3836160 3848148 3852000 3888000 3942720 3955041 3959000 3996000 4052240 4102893 4107000 4160160 4275720 4333500 4380800 4394490 4435560 4453875 4495500 4558770 4560768 4620375 4622400 4687456 4731264 4750800 4795200 4810185 4862688 4928400 5065300 5067520 5130864 5136000 5200200 5256960 5273388 5322672 5328000 5344650 5419871 5470524 5476000 5544450 5546880 5700960 5754240 5778000 5859320 5914080 5938500 5994000 6078360 6160500 6163200 6331625 6334400 6393600 6413580 6483584 6500250 6571200 6591735 6653340 6656256 6838155 6841152 6933600 7031184 7096896 7126200 7192800 7294032 7324150 7392600 7597950 7601280 7696296 7704000 7776000 7885440 7910082 7918000 7992000 8016975 8104480 8205786 8214000 8316675 8320320 8551440 8667000 8761600 8788980 8871120 8907750 8991000 9117540 9121536 9240750 9244800 9374912 9462528 9501600 9590400 9620370 9725376 9856800 10130600 10261728 10272000 10400400 10546776 10645344 10656000 10689300 10839742 10941048 10952000 10986225 11088900 11093760 11396925 11401920 11508480 11556000 11718640 11828160 11865123 11877000 11988000 12156720 12308679 12321000 12663250 12668800 12827160 12967168 13000500 13142400 13183470 13306680 13361625 13676310 13682304 13861125 13867200 14062368 14193792 14252400 14385600 14588064 14648300 14785200 15195900 15202560 15392592 15408000 15770880 15820164 15836000 15984000 16033950 16208960 16259613 16411572 16428000 16633350 16640640 17102880 17334000 17577960 17742240 17815500 17982000 18235080 18310375 18481500 18489600 18749824 18994875 19003200 19180800 19240740 19450752 19713600 19775205 20261200 20514465 20523456 20800800 21093552 21290688 21378600 21679484 21882096 21904000 21972450 22177800 22793850 22803840 23112000 23437280 23656320 23730246 23754000 23976000 24050925 24313440 24617358 24642000 25326500 25337600 25654320 26001000 26284800 26366940 26613360 26723250 27099355 27352620 27364608 27722250 27734400 28124736 28387584 28504800 28771200 29176128 29296600 29570400 30391800 30785184 30816000 31640328 31672000 31968000 32067900 32417920 32519226 32823144 32856000 32958675 33266700 33281280 34190775 34205760 34668000 35155920 35484480 35595369 35631000 35964000 36470160 36620750 36963000 37499648 37989750 38006400 38481480 38901504 39427200 39550410 40084875 40522400 41028930 41046912 41583375 41601600 42187104 42581376 42757200 43358968 43764192 43808000 43944900 44355600 45587700 45607680 46224000 46874560 47312640 47460492 47508000 47952000 48101850 48626880 48778839 49234716 49284000 50653000 51308640 52002000 52733880 53226720 53446500 54198710 54705240 54931125 55444500 55468800 56249472 56984625 57009600 57542400 58352256 58593200 59140800 59325615 60783600 61543395 61570368 63280656 63344000 64135800 64835840 65038452 65646288 65712000 65917350 66533400 68381550 68411520 69336000 70311840 70968960 71190738 71262000 71928000 72940320 73241500 73926000 75979500 76012800 76962960 78854400 79100820 80169750 81044800 81298065 82057860 82093824 83166750 83203200 84374208 85162752 85514400 86717936 87528384 87889800 88711200 91175400 92448000 93749120 94920984 95016000 95904000 96203700 97253760 97557678 98469432 98568000 98876025 101306000 102572325 102617280 104004000 105467760 106453440 106893000 108397420 109410480 109862250 110889000 112498944 113969250 114019200 116704512 117186400 118281600 118651230 120254625 121567200 123086790 123140736 126561312 126688000 128271600 130076904 131292576 131424000 131834700 133066800 135496775 136763100 136823040 138672000 140623680 141937920 142381476 142524000 143856000 145880640 146336517 146483000 147852000 151959000 153925920 158201640 160339500 162089600 162596130 164115720 164793375 166333500 166406400 168748416 170953875 171028800 173435872 175056768 175779600 177422400 177976845 182350800 187498240 189841968 190032000 192407400 194507520 195115356 196938864 197136000 197752050 202612000 205144650 205234560 208008000 210935520 212906880 213786000 216794840 218820960 219724500 221778000 227938500 228038400 234372800 236563200 237302460 240509250 243134400 243894195 246173580 246281472 253122624 256543200 260153808 262585152 263669400 266133600 270993550 273526200 277344000 281247360 284762952 285048000 287712000 291761280 292673034 292966000 295704000 296628075 303918000 307716975 307851840 316403280 320679000 324179200 325192260 328231440 329586750 332667000 337496832 341907750 342057600 346871744 350113536 351559200 354844800 355953690 364701600 379683936 380064000 384814800 390230712 393877728 394272000 395504100 405224000 406490325 410289300 410469120 416016000 421871040 425813760 427572000 433589680 437641920 439009551 439449000 443556000 455877000 468745600 474604920 481018500 486268800 487788390 492347160 494380125 506245248 512861625 513086400 520307616 525170304 527338800 532267200 541987100 547052400 562494720 569525904 570096000 583522560 585346068 585932000 591408000 593256150 607836000 615433950 615703680 632806560 641358000 650384520 656462880 659173500 665334000 677483875 683815500 684115200 693743488 703118400 709689600 711907380 729403200 731682585 759367872 769629600 780461424 787755456 791008200 810448000 812980650 820578600 832032000 843742080 855144000 867179360 875283840 878019102 878898000 887112000 889884225 911754000 937491200 949209840 962037000 972537600 975576780 984694320 988760250 1012490496 1025723250 1026172800 1040615232 1050340608 1054677600 1064534400 1083974200 1094104800 1139051808 1140192000 1170692136 1171864000 1182816000 1186512300 1215672000 1219470975 1230867900 1231407360 1265613120 1282716000 1300769040 1312925760 1317028653 1318347000 1330668000 1354967750 1367631000 1387486976 1406236800 1423814760 1458806400 1463365170 1483140375 1518735744 1538584875 1539259200 1560922848 1575510912 1582016400 1620896000 1625961300 1641157200 1687484160 1710288000 1734358720 1750567680 1756038204 1757796000 1774224000 1779768450 1823508000 1898419680 1924074000 1951153560 1969388640 1977520500 2032451625 2051446500 2052345600 2081230464 2109355200 2129068800 2167948400 2188209600 2195047755 2278103616 2341384272 2343728000 2373024600 2431344000 2438941950 2461735800 2531226240 2565432000 2601538080 2625851520 2634057306 2636694000 2661336000 2709935500 2735262000 2812473600 2847629520 2917612800 2926730340 2966280750 3037471488 3077169750 3078518400 3121845696 3151021824 3164032800 3251922600 3282314400 3420576000 3468717440 3512076408 3515592000 3548448000 3559536900 3647016000 3658412925 3796839360 3848148000 3902307120 3938777280 3955041000 4064903250 4102893000 4162460928 4218710400 4335896800 4376419200 4390095510 4449421125 4556207232 4682768544 4687456000 4746049200 4862688000 4877883900 4923471600 5062452480 5130864000 5203076160 5251703040 5268114612 5273388000 5322672000 5419871000 5470524000 5695259040 5853460680 5932561500 6097354875 6154339500 6157036800 6243691392 6328065600 6503845200 6564628800 6585143265 6937434880 7024152816 7031184000 7119073800 7294032000 7316825850 7593678720 7696296000 7804614240 7877554560 7910082000 8129806500 8205786000 8437420800 8671793600 8752838400 8780191020 8898842250 9112414464 9365537088 9492098400 9755767800 9846943200 10261728000 10406152320 10536229224 10546776000 10645344000 10839742000 10941048000 10975238775 11390518080 11706921360 11865123000 12194709750 12308679000 12487382784 12656131200 13007690400 13129257600 13170286530 14048305632 14062368000 14238147600 14588064000 14633651700 15187357440 15392592000 15609228480 15755109120 15820164000 16259613000 16411572000 17343587200 17560382040 17797684500 18292064625 18731074176 18984196800 19511535600 19693886400 20812304640 21072458448 21093552000 21679484000 21882096000 21950477550 22781036160 23413842720 23730246000 24389419500 24617358000 25312262400 26015380800 26258515200 26340573060 28096611264 28476295200 29267303400 30785184000 31218456960 31640328000 32519226000 32823144000 32925716325 34687174400 35120764080 35595369000 36584129250 37462148352 37968393600 39023071200 39387772800 42144916896 42187104000 43358968000 43764192000 43900955100 45562072320 46827685440 47460492000 48778839000 49234716000 52030761600 52681146120 54876193875 56193222528 56952590400 58534606800 62436913920 63280656000 65038452000 65646288000 65851432650 70241528160 71190738000 73168258500 75936787200 78046142400 78775545600 84289833792 86717936000 87801910200 93655370880 94920984000 97557678000 98469432000 104061523200 105362292240 109752387750 112386445056 113905180800 117069213600 126561312000 130076904000 131292576000 131702865300 140483056320 142381476000 146336517000 156092284800 164628581625 168579667584 173435872000 175603820400 187310741760 189841968000 195115356000 196938864000 210724584480 219504775500 227810361600 234138427200 260153808000 263405730600 280966112640 284762952000 292673034000 312184569600 329257163250 337159335168 351207640800 379683936000 390230712000 393877728000 421449168960 439009551000 468276854400 520307616000 526811461200 561932225280 569525904000 585346068000 658514326500 702415281600 780461424000 842898337920 878019102000 936553708800 1053622922400 1139051808000 1170692136000 1317028653000 1404830563200 1560922848000 1685796675840 1756038204000 2107245844800 2341384272000 2634057306000 2809661126400 3512076408000 4214491689600 4682768544000 5268114612000 7024152816000 8428983379200 10536229224000 14048305632000 21072458448000 42144916896000
- Sum of all divisors σ(n): 163145388107520
- Sum of proper divisors (its aliquot sum) s(n): 121000471211520
- 42144916896000 is an abundant number, because the sum of its proper divisors (121000471211520) is greater than itself. Its abundance is 78855554315520
Bases of 42144916896000
- Binary: 10011001010100101000001100110011111001000000002
- Hexadecimal: 0x2654A0CCF900
- Base-36: EXT3VDC00
Squares and roots of 42144916896000
- 42144916896000 squared (421449168960002) is 1776194020170746274816000000
- 42144916896000 cubed (421449168960003) is 74857549371268249482421897691136000000000
-
The
square root of 42144916896000 is 6491911.6518942245 -
The
cube root of 42144916896000 is 34800.1995232317
Scales and comparisons
How big is 42144916896000?- 42,144,916,896,000 seconds is equal to 1,340,077 years, 51 weeks, 5 days.
-
To count from 1 to 42,144,916,896,000 would take you about three million, three hundred fifty thousand, one hundred ninety-four 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 42144916896000 cubic inches would be around 2900 feet tall.
Recreational maths with 42144916896000
- 42144916896000 backwards is 00069861944124
- 42144916896000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42144916896000's digits is 54
- More coming soon!
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The information we have on file for 42144916896000 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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