42257126912000
42,257,126,912,000 is an even composite number composed of seven prime numbers multiplied together.
42257126912000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 42257126912000:
212 × 53 × 7 × 11 × 13 × 41 × 2011
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 13 × 41 × 2011)See below for interesting mathematical facts about the number 42257126912000 from the Numbermatics database.
Names of 42257126912000
- Cardinal: 42257126912000 can be written as Forty-two trillion, two hundred fifty-seven billion, one hundred twenty-six million, nine hundred twelve thousand.
Scientific notation
- Scientific notation: 4.2257126912 × 1013
Factors of 42257126912000
Divisors of 42257126912000
- Number of divisors d(n): 1664
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 41 44 50 52 55 56 64 65 70 77 80 82 88 91 100 104 110 112 125 128 130 140 143 154 160 164 175 176 182 200 205 208 220 224 250 256 260 275 280 286 287 308 320 325 328 350 352 364 385 400 410 416 440 448 451 455 500 512 520 533 550 560 572 574 616 640 650 656 700 704 715 728 770 800 820 832 875 880 896 902 910 1000 1001 1024 1025 1040 1066 1100 1120 1144 1148 1232 1280 1300 1312 1375 1400 1408 1430 1435 1456 1540 1600 1625 1640 1664 1750 1760 1792 1804 1820 1925 2000 2002 2011 2048 2050 2080 2132 2200 2240 2255 2275 2288 2296 2464 2560 2600 2624 2665 2750 2800 2816 2860 2870 2912 3080 3157 3200 3250 3280 3328 3500 3520 3575 3584 3608 3640 3731 3850 4000 4004 4022 4096 4100 4160 4264 4400 4480 4510 4550 4576 4592 4928 5005 5120 5125 5200 5248 5330 5500 5600 5632 5720 5740 5824 5863 6160 6314 6400 6500 6560 6656 7000 7040 7150 7168 7175 7216 7280 7462 7700 8000 8008 8044 8200 8320 8528 8800 8960 9020 9100 9152 9184 9625 9856 10010 10055 10240 10250 10400 10496 10660 11000 11200 11264 11275 11375 11440 11480 11648 11726 12320 12628 12800 13000 13120 13312 13325 14000 14077 14080 14300 14336 14350 14432 14560 14924 15400 15785 16000 16016 16088 16400 16640 17056 17600 17875 17920 18040 18200 18304 18368 18655 19250 19712 20020 20110 20480 20500 20800 20992 21320 22000 22121 22400 22528 22550 22750 22880 22960 23296 23452 24640 25025 25256 25600 26000 26143 26240 26624 26650 28000 28154 28160 28600 28672 28700 28864 29120 29315 29848 30800 31570 32000 32032 32176 32800 33280 34112 35200 35750 35840 35875 36080 36400 36608 36736 37310 38500 39424 40040 40220 41000 41041 41600 41984 42640 44000 44242 44800 45056 45100 45500 45760 45920 46592 46904 49280 50050 50275 50512 51200 52000 52286 52480 53248 53300 56000 56308 56320 56375 57200 57400 57728 58240 58630 59696 61600 63140 64000 64064 64352 65600 66560 66625 68224 70385 70400 71500 71680 71750 72160 72800 73216 73472 74620 77000 78848 78925 80080 80440 82000 82082 82451 83200 83968 85280 88000 88484 89600 90200 91000 91520 91840 93184 93275 93808 98560 100100 100550 101024 102400 104000 104572 104960 106600 110605 112000 112616 112640 112750 114400 114800 115456 116480 117260 119392 123200 125125 126280 128000 128128 128704 130715 131200 133120 133250 136448 140770 140800 143000 143360 143500 144320 145600 146432 146575 146944 149240 154000 154847 157696 157850 160160 160880 164000 164164 164902 166400 167936 170560 176000 176968 179200 180400 182000 183001 183040 183680 186368 186550 187616 197120 200200 201100 202048 205205 208000 209144 209920 213200 221210 224000 225232 225280 225500 228800 229600 230912 232960 234520 238784 246400 250250 251375 252560 256000 256256 257408 261430 262400 266240 266500 272896 281540 281600 286000 287000 287573 288640 291200 292864 293150 293888 298480 308000 309694 315392 315700 320320 321760 328000 328328 329804 332800 341120 351925 352000 353936 358400 360800 364000 366002 366080 367360 372736 373100 375232 394240 394625 400400 402200 404096 410410 412255 416000 418288 419840 426400 442420 448000 450464 451000 457600 459200 461824 465920 466375 469040 477568 492800 500500 502750 505120 512000 512512 514816 522860 524800 533000 545792 553025 563080 563200 572000 574000 575146 577157 577280 582400 585728 586300 587776 596960 616000 619388 631400 640640 643520 653575 656000 656656 659608 665600 682240 703850 704000 707872 716800 721600 728000 732004 732160 732875 734720 746200 750464 774235 788480 789250 800800 804400 808192 820820 824510 832000 836576 839680 852800 884840 896000 900928 902000 906961 915005 915200 918400 923648 931840 932750 938080 955136 985600 1001000 1005500 1010240 1025024 1026025 1029632 1045720 1049600 1066000 1071863 1091584 1106050 1126160 1126400 1144000 1148000 1150292 1154314 1154560 1164800 1172600 1175552 1193920 1232000 1238776 1262800 1281280 1287040 1307150 1312000 1313312 1319216 1331200 1364480 1407700 1408000 1415744 1437865 1443200 1456000 1464008 1464320 1465750 1469440 1492400 1500928 1548470 1576960 1578500 1601600 1608800 1616384 1641640 1649020 1664000 1673152 1705600 1759625 1769680 1792000 1801856 1804000 1813922 1830010 1830400 1836800 1847296 1863680 1865500 1876160 1910272 1971200 2002000 2011000 2013011 2020480 2050048 2052050 2059264 2061275 2091440 2099200 2132000 2143726 2183168 2212100 2252320 2288000 2296000 2300584 2308628 2309120 2329600 2345200 2387840 2464000 2477552 2525600 2562560 2574080 2614300 2624000 2626624 2638432 2728960 2765125 2815400 2816000 2831488 2875730 2885785 2886400 2912000 2928016 2928640 2931500 2938880 2984800 3001856 3096940 3157000 3203200 3217600 3232768 3267875 3283280 3298040 3328000 3346304 3411200 3519250 3539360 3584000 3603712 3608000 3627844 3660020 3660800 3673600 3731000 3752320 3820544 3871175 3942400 4004000 4022000 4026022 4040960 4100096 4104100 4118528 4122550 4182880 4198400 4264000 4287452 4424200 4504640 4534805 4575025 4576000 4592000 4601168 4617256 4618240 4659200 4690400 4775680 4928000 4955104 5051200 5125120 5130125 5148160 5228600 5248000 5253248 5276864 5359315 5457920 5530250 5630800 5632000 5662976 5751460 5771570 5772800 5824000 5856032 5863000 5877760 5969600 6003712 6193880 6314000 6348727 6406400 6435200 6465536 6535750 6566560 6596080 6656000 6692608 6822400 7038500 7078720 7189325 7207424 7216000 7255688 7320040 7321600 7347200 7462000 7503041 7504640 7641088 7742350 7884800 8008000 8044000 8052044 8081920 8208200 8237056 8245100 8365760 8528000 8574904 8848400 9009280 9069610 9150050 9152000 9184000 9202336 9234512 9236480 9318400 9380800 9551360 9856000 9910208 10065055 10102400 10250240 10260250 10296320 10306375 10457200 10496000 10506496 10553728 10718630 10915840 11060500 11261600 11325952 11502920 11543140 11545600 11648000 11712064 11726000 11790493 11939200 12007424 12387760 12628000 12697454 12812800 12870400 12931072 13071500 13133120 13192160 13385216 13644800 14077000 14157440 14378650 14414848 14428925 14432000 14511376 14640080 14643200 14694400 14924000 15006082 15009280 15282176 15484700 16016000 16088000 16104088 16163840 16416400 16490200 16731520 17056000 17149808 17696800 18018560 18139220 18300100 18304000 18368000 18404672 18469024 18761600 19102720 19355875 19712000 19820416 20130110 20204800 20500480 20520500 20592640 20612750 20914400 20992000 21012992 21107456 21437260 22121000 22523200 22651904 22674025 22875125 23005840 23086280 23091200 23296000 23424128 23452000 23580986 23878400 24014848 24775520 25256000 25394908 25625600 25740800 26143000 26266240 26384320 26770432 26796575 27289600 28154000 28314880 28757300 28829696 28857850 28864000 29022752 29280160 29388800 29848000 30012164 30018560 30969400 31743635 32032000 32176000 32208176 32327680 32832800 32980400 33463040 34112000 34299616 35393600 35946625 36037120 36278440 36600200 36608000 36736000 36809344 36938048 37515205 37523200 38205440 38711750 39424000 39640832 40260220 40409600 41041000 41185280 41225500 41828800 42025984 42214912 42874520 44242000 45046400 45303808 45348050 45750250 46011680 46172560 46182400 46592000 46848256 46904000 47161972 47756800 49551040 50325275 50512000 50789816 51251200 51481600 52286000 52532480 52768640 53540864 53593150 54579200 56308000 56629760 57514600 57659392 57715700 57728000 58045504 58560320 58952465 59696000 60024328 60037120 61938800 63487270 64064000 64352000 64416352 64655360 65665600 65960800 66926080 68224000 68599232 70787200 71893250 72074240 72144625 72556880 73200400 73216000 73472000 73618688 73876096 75030410 75046400 76410880 77423500 79281664 80520440 80819200 82082000 82451000 82533451 83657600 84051968 84429824 85749040 88484000 90092800 90607616 90696100 91500500 92023360 92345120 93696512 93808000 94323944 95513600 99102080 100650550 101024000 101579632 102502400 102963200 104572000 105064960 105537280 107081728 107186300 112616000 113259520 113370125 115029200 115431400 115456000 116091008 117120640 117904930 119392000 120048656 120074240 123877600 126974540 128128000 128704000 128832704 131331200 131921600 133852160 133982875 136448000 137198464 141574400 143786500 144148480 144289250 145113760 146400800 146944000 147237376 147752192 150060820 150092800 154847000 158563328 158718175 161040880 161638400 164164000 164902000 165066902 167315200 168103936 168859648 171498080 176968000 180185600 181392200 183001000 184046720 184690240 187393024 187576025 187616000 188647888 191027200 198204160 201301100 202048000 203159264 205926400 209144000 210129920 211074560 214372600 225232000 226519040 226740250 230058400 230862800 230912000 232182016 234241280 235809860 238784000 240097312 247755200 251626375 253949080 256256000 257408000 257665408 262662400 263843200 267704320 267965750 272896000 274396928 283148800 287573000 288296960 288578500 290227520 292801600 294474752 294762325 295504384 300121640 300185600 309694000 317126656 317436350 322081760 323276800 328328000 329804000 330133804 334630400 337719296 342996160 353936000 360371200 362784400 366002000 368093440 369380480 374786048 375152050 375232000 377295776 382054400 396408320 402602200 404096000 406318528 412667255 418288000 420259840 422149120 428745200 450464000 453038080 453480500 460116800 461725600 464364032 468482560 471619720 477568000 480194624 495510400 503252750 507898160 512512000 514816000 515330816 525324800 527686400 535408640 535931500 548793856 566297600 575146000 577157000 580455040 585603200 588949504 589524650 591008768 600243280 600371200 619388000 634253312 634872700 644163520 656656000 659608000 660267608 669260800 685992320 707872000 720742400 725568800 732004000 736186880 738760960 749572096 750304100 750464000 754591552 792816640 793590875 805204400 808192000 812637056 825334510 836576000 840519680 844298240 857490400 900928000 906961000 920233600 923451200 928728064 936965120 937880125 943239440 955136000 960389248 991020800 1006505500 1015796320 1029632000 1030661632 1050649600 1055372800 1071863000 1097587712 1132595200 1150292000 1154314000 1160910080 1171206400 1177899008 1179049300 1182017536 1200486560 1238776000 1269745400 1288327040 1313312000 1319216000 1320535216 1338521600 1371984640 1415744000 1441484800 1451137600 1464008000 1472373760 1473811625 1477521920 1500608200 1500928000 1509183104 1585633280 1587181750 1610408800 1616384000 1625274112 1650669020 1673152000 1688596480 1714980800 1801856000 1813922000 1840467200 1846902400 1857456128 1873930240 1875760250 1886478880 1910272000 1920778496 1982041600 2013011000 2031592640 2061323264 2063336275 2101299200 2110745600 2143726000 2195175424 2265190400 2300584000 2308628000 2321820160 2342412800 2358098600 2364035072 2400973120 2477552000 2539490800 2576654080 2626624000 2638432000 2641070432 2677043200 2743969280 2831488000 2902275200 2928016000 2944747520 2947623250 2955043840 3001216400 3001856000 3018366208 3171266560 3174363500 3220817600 3250548224 3301338040 3346304000 3429961600 3603712000 3627844000 3680934400 3693804800 3714912256 3747860480 3751520500 3772957760 3841556992 3964083200 4026022000 4063185280 4122646528 4126672550 4202598400 4221491200 4287452000 4390350848 4601168000 4617256000 4643640320 4684825600 4716197200 4801946240 4955104000 5078981600 5153308160 5253248000 5276864000 5282140864 5487938560 5662976000 5804550400 5856032000 5889495040 5895246500 5910087680 6002432800 6036732416 6348727000 6441635200 6501096448 6602676080 6692608000 6859923200 7207424000 7255688000 7361868800 7387609600 7503041000 7545915520 7683113984 7928166400 8052044000 8126370560 8245293056 8253345100 8442982400 8574904000 9202336000 9234512000 9287280640 9369651200 9432394400 9603892480 9910208000 10157963200 10306616320 10316681375 10506496000 10553728000 10564281728 10975877120 11325952000 11609100800 11712064000 11790493000 11820175360 12004865600 12073464832 12697454000 12883270400 13002192896 13205352160 13385216000 13719846400 14511376000 14723737600 14775219200 15006082000 15091831040 15366227968 15856332800 16104088000 16252741120 16506690200 17149808000 18404672000 18469024000 18574561280 18739302400 18864788800 19207784960 19820416000 20315926400 20613232640 20633362750 21012992000 21107456000 21128563456 21951754240 23218201600 23424128000 23580986000 24009731200 24146929664 25394908000 25766540800 26004385792 26410704320 27439692800 29022752000 29447475200 29550438400 30012164000 30183662080 30732455936 32208176000 32505482240 33013380400 34299616000 36809344000 36938048000 37729577600 38415569920 39640832000 40631852800 41226465280 41266725500 42214912000 42257126912 46436403200 46848256000 47161972000 48019462400 48293859328 50789816000 51533081600 52821408640 54879385600 58045504000 59100876800 60024328000 60367324160 64416352000 65010964480 66026760800 68599232000 73618688000 73876096000 75459155200 76831139840 79281664000 81263705600 82533451000 84514253824 92872806400 93696512000 94323944000 96038924800 101579632000 103066163200 105642817280 109758771200 116091008000 120048656000 120734648320 128832704000 130021928960 132053521600 137198464000 147237376000 147752192000 150918310400 153662279680 162527411200 165066902000 169028507648 188647888000 192077849600 203159264000 206132326400 211285634560 232182016000 240097312000 241469296640 257665408000 264107043200 274396928000 295504384000 301836620800 325054822400 330133804000 338057015296 377295776000 384155699200 406318528000 422571269120 464364032000 480194624000 515330816000 528214086400 548793856000 603673241600 650109644800 660267608000 754591552000 768311398400 812637056000 845142538240 960389248000 1030661632000 1056428172800 1207346483200 1320535216000 1509183104000 1625274112000 1690285076480 1920778496000 2112856345600 2641070432000 3018366208000 3250548224000 3841556992000 4225712691200 5282140864000 6036732416000 8451425382400 10564281728000 21128563456000 42257126912000
- Sum of all divisors σ(n): 145123605559296
- Sum of proper divisors (its aliquot sum) s(n): 102866478647296
- 42257126912000 is an abundant number, because the sum of its proper divisors (102866478647296) is greater than itself. Its abundance is 60609351735296
Bases of 42257126912000
- Binary: 10011001101110110000010000100111110000000000002
- Hexadecimal: 0x266EC109F000
- Base-36: EZ8NMBEGW
Squares and roots of 42257126912000
- 42257126912000 squared (422571269120002) is 1785664774856874655744000000
- 42257126912000 cubed (422571269120003) is 75457063013414858963450517782528000000000
-
The
square root of 42257126912000 is 6500548.2008827531 -
The
cube root of 42257126912000 is 34831.0571034493
Scales and comparisons
How big is 42257126912000?- 42,257,126,912,000 seconds is equal to 1,343,645 years, 48 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 42,257,126,912,000 would take you about three million, three hundred fifty-nine thousand, one hundred fourteen 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 42257126912000 cubic inches would be around 2902.6 feet tall.
Recreational maths with 42257126912000
- 42257126912000 backwards is 00021962175224
- 42257126912000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42257126912000's digits is 41
- More coming soon!
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Numbermatics. (2024). Number 42257126912000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/42257126912000/
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The information we have on file for 42257126912000 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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