42442857144000
42,442,857,144,000 is an even composite number composed of six prime numbers multiplied together.
42442857144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 42442857144000:
26 × 33 × 53 × 312 × 139 × 1471
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 31 × 31 × 139 × 1471)See below for interesting mathematical facts about the number 42442857144000 from the Numbermatics database.
Names of 42442857144000
- Cardinal: 42442857144000 can be written as Forty-two trillion, four hundred forty-two billion, eight hundred fifty-seven million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.2442857144 × 1013
Factors of 42442857144000
Divisors of 42442857144000
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 90 93 96 100 108 120 124 125 135 139 144 150 155 160 180 186 192 200 216 225 240 248 250 270 278 279 288 300 310 320 360 372 375 400 417 432 450 465 480 496 500 540 556 558 576 600 620 675 695 720 744 750 775 800 834 837 864 900 930 960 961 992 1000 1080 1112 1116 1125 1200 1240 1251 1350 1390 1395 1440 1471 1488 1500 1550 1600 1668 1674 1728 1800 1860 1922 1984 2000 2085 2160 2224 2232 2250 2325 2400 2480 2502 2700 2780 2790 2880 2883 2942 2976 3000 3100 3336 3348 3375 3475 3600 3720 3753 3844 3875 4000 4170 4185 4309 4320 4413 4448 4464 4500 4650 4800 4805 4960 5004 5400 5560 5580 5766 5884 5952 6000 6200 6255 6672 6696 6750 6950 6975 7200 7355 7440 7506 7688 7750 8000 8340 8370 8618 8640 8649 8826 8896 8928 9000 9300 9610 9920 10008 10425 10800 11120 11160 11532 11625 11768 12000 12400 12510 12927 13239 13344 13392 13500 13900 13950 14400 14415 14710 14880 15012 15376 15500 16680 16740 17236 17298 17375 17652 17856 18000 18600 18765 19220 20016 20850 20925 21545 21600 22065 22240 22320 23064 23250 23536 24000 24025 24800 25020 25854 25947 26478 26688 26784 27000 27800 27900 28830 29420 29760 30024 30752 31000 31275 33360 33480 34472 34596 34750 34875 35304 36000 36775 37200 37530 38440 38781 39717 40032 41700 41850 43090 43200 43245 44130 44480 44640 45601 46128 46500 47072 48050 49600 50040 51708 51894 52125 52956 53568 54000 55600 55800 57660 58840 60048 61504 62000 62550 64635 66195 66720 66960 68944 69192 69500 69750 70608 72000 72075 73550 74400 75060 76880 77562 79434 80064 83400 83700 86180 86490 88260 89280 91202 92256 93000 93825 94144 96100 100080 103416 103788 104250 104625 105912 107725 108000 110325 111200 111600 115320 116343 117680 120096 120125 124000 125100 129270 129735 132390 133440 133579 133920 136803 137888 138384 139000 139500 141216 144150 147100 148800 150120 153760 155124 156375 158868 166800 167400 172360 172980 176520 182404 183875 184512 186000 187650 192200 193905 198585 200160 204469 206832 207576 208500 209250 211824 215450 216000 216225 220650 222400 223200 228005 230640 232686 235360 240192 240250 248000 250200 258540 259470 264780 267158 267840 273606 275776 276768 278000 279000 282432 288300 294200 300240 307520 310248 312750 317736 323175 330975 333600 334800 344720 345960 353040 360375 364808 367750 372000 375300 384400 387810 397170 400320 400737 408938 410409 413664 415152 417000 418500 423648 430900 432450 441300 446400 456010 461280 465372 469125 470720 480500 500400 517080 518940 529560 534316 538625 547212 551625 553536 556000 558000 576600 581715 588400 600480 613407 620496 625500 635472 646350 648675 661950 667200 667895 669600 684015 689440 691920 706080 720750 729616 735500 744000 750600 768800 775620 794340 801474 817876 820818 827328 830304 834000 837000 847296 861800 864900 882600 912020 922560 930744 938250 961000 969525 992925 1000800 1022345 1034160 1037880 1059120 1068632 1077250 1081125 1094424 1103250 1112000 1116000 1140025 1153200 1163430 1176800 1200960 1202211 1226814 1231227 1240992 1251000 1270944 1292700 1297350 1323900 1335790 1339200 1368030 1378880 1383840 1412160 1413631 1441500 1459232 1471000 1501200 1537600 1551240 1588680 1602948 1615875 1635752 1641636 1654875 1660608 1668000 1674000 1723600 1729800 1765200 1824040 1840221 1861488 1876500 1922000 1939050 1985850 2001600 2003685 2044690 2052045 2068320 2075760 2118240 2137264 2154500 2162250 2188848 2206500 2232000 2280050 2306400 2326860 2353600 2404422 2453628 2462454 2481984 2502000 2541888 2585400 2594700 2647800 2671580 2736060 2767680 2827262 2883000 2908575 2918464 2942000 3002400 3067035 3102480 3177360 3205896 3231750 3243375 3271504 3283272 3309750 3336000 3339475 3348000 3420075 3447200 3459600 3530400 3606633 3648080 3680442 3722976 3753000 3844000 3878100 3971700 4007370 4089380 4104090 4136640 4151520 4236480 4240893 4274528 4309000 4324500 4377696 4413000 4560100 4612800 4653720 4808844 4847625 4907256 4924908 4964625 5004000 5111725 5170800 5189400 5295600 5343160 5472120 5520663 5654524 5700125 5766000 5817150 5884000 6004800 6011055 6134070 6156135 6204960 6338539 6354720 6411792 6463500 6486750 6543008 6566544 6619500 6678950 6696000 6840150 6894400 6919200 7060800 7068155 7213266 7296160 7360884 7445952 7506000 7688000 7756200 7943400 8014740 8178760 8208180 8303040 8481786 8549056 8618000 8649000 8755392 8826000 9120200 9201105 9307440 9617688 9695250 9814512 9849816 9929250 10008000 10018425 10223450 10260225 10341600 10378800 10591200 10686320 10944240 11041326 11309048 11400250 11532000 11634300 11768000 12022110 12268140 12312270 12409920 12677078 12709440 12722679 12823584 12927000 12973500 13086016 13133088 13239000 13357900 13680300 13838400 14136310 14426532 14542875 14592320 14721768 15012000 15335175 15512400 15886800 16029480 16357520 16416360 16697375 16963572 17100375 17236000 17298000 17652000 18033165 18240400 18402210 18614880 19015617 19235376 19390500 19629024 19699632 19858500 20036850 20446900 20520450 20683200 20757600 21182400 21204465 21372640 21888480 22082652 22618096 22800500 23064000 23268600 24044220 24536280 24624540 25354156 25445358 25558625 25647168 25854000 25947000 26266176 26478000 26715800 27360600 27603315 28272620 28853064 29085750 29443536 30024000 30055275 30670350 30780675 31024800 31692695 31773600 32058960 32715040 32832720 33394750 33927144 34200750 34472000 34596000 35304000 35340775 36066330 36480800 36804420 37229760 38031234 38168037 38470752 38781000 39258048 39399264 39717000 40073700 40893800 41040900 41515200 42408930 42745280 43776960 44165304 45236192 45601000 46005525 46537200 48088440 49072560 49249080 50092125 50708312 50890716 51117250 51301125 51708000 51894000 52956000 53431600 54721200 55206630 56545240 57046851 57706128 58171500 58887072 60110550 61340700 61561350 62049600 63385390 63547200 63613395 64117920 65430080 65665440 66789500 67854288 68401500 69192000 70681550 72132660 72961600 73608840 76062468 76336074 76675875 76941504 77562000 78798528 79434000 80147400 81787600 82081800 84817860 88330608 90165825 90472384 91202000 92011050 93074400 95078085 96176880 98145120 98498160 100184250 101416624 101781432 102234500 102602250 103416000 103788000 105912000 106022325 106863200 109442400 110413260 113090480 114093702 115412256 116343000 117774144 120221100 122681400 123122700 126770780 127226790 128235840 131330880 133579000 135708576 136803000 138016575 141363100 144265320 147217680 150276375 152124936 152672148 153351750 153903375 155124000 158463475 158868000 160294800 163575200 164163600 169635720 171140553 176661216 176703875 180331650 182404000 184022100 186148800 190156170 190840185 192353760 196290240 196494709 196996320 200368500 202833248 203562864 204469000 205204500 207576000 212044650 213726400 218884800 220826520 226180960 228187404 230027625 230824512 232686000 240442200 245362800 246245400 253541560 254453580 267158000 271417152 273606000 276033150 282726200 285234255 288530640 294435360 300552750 304249872 305344296 306703500 307806750 310248000 316926950 317736000 318066975 320589600 327150400 328327200 339271440 342281106 353322432 353407750 360663300 364808000 368044200 380312340 381680370 384707520 392989418 393992640 400737000 405666496 407125728 408938000 410409000 424089300 441653040 450829125 452361920 456374808 460055250 465372000 475390425 480884400 490725600 492490800 507083120 508907160 530111625 534316000 547212000 552066300 565452400 570468510 577061280 588870720 589484127 601105500 608499744 610688592 613407000 615613500 633853900 636133950 641179200 656654400 678542880 684562212 690082875 706815500 721326600 736088400 760624680 763360740 785978836 792317375 801474000 814251456 817876000 820818000 848178600 855702765 883306080 901658250 912749616 920110500 930744000 950780850 954200925 961768800 981451200 982473545 984981600 1014166240 1017814320 1060223250 1068632000 1094424000 1104132600 1130904800 1140937020 1154122560 1178968254 1202211000 1216999488 1221377184 1226814000 1231227000 1267707800 1272267900 1357085760 1369124424 1380165750 1413631000 1426171275 1442653200 1472176800 1521249360 1526721480 1571957672 1584634750 1590334875 1602948000 1635752000 1641636000 1696357200 1711405530 1766612160 1768452381 1803316500 1825499232 1840221000 1901561700 1908401850 1923537600 1964947090 1969963200 2028332480 2035628640 2120446500 2208265200 2261809600 2281874040 2357936508 2376952125 2404422000 2442754368 2453628000 2462454000 2535415600 2544535800 2738248848 2760331500 2827262000 2852342550 2885306400 2944353600 2947420635 3042498720 3053442960 3143915344 3169269500 3180669750 3205896000 3283272000 3392714400 3422811060 3536904762 3606633000 3650998464 3680442000 3803123400 3816803700 3929894180 4071257280 4240893000 4278513825 4416530400 4563748080 4715873016 4753904250 4771004625 4808844000 4907256000 4912367725 4924908000 5070831200 5089071600 5305357143 5476497696 5520663000 5654524000 5704685100 5770612800 5894841270 6084997440 6106885920 6287830688 6338539000 6361339500 6785428800 6845622120 7073809524 7130856375 7213266000 7360884000 7606246800 7633607400 7859788360 8481786000 8557027650 8833060800 8842261905 9127496160 9431746032 9507808500 9542009250 9617688000 9824735450 9849816000 10141662400 10178143200 10610714286 10952995392 11041326000 11309048000 11409370200 11789682540 12213771840 12575661376 12677078000 12722679000 13691244240 14147619048 14261712750 14426532000 14721768000 14737103175 15212493600 15267214800 15719576720 16963572000 17114055300 17684523810 18254992320 18863492064 19015617000 19084018500 19649470900 20356286400 21221428572 21392569125 22082652000 22818740400 23579365080 24561838625 25354156000 25445358000 26526785715 27382488480 28295238096 28523425500 28853064000 29474206350 30424987200 30534429600 31439153440 33927144000 34228110600 35369047620 37726984128 38031234000 38168037000 39298941800 42442857144 42785138250 44165304000 44211309525 45637480800 47158730160 49123677250 50708312000 50890716000 53053571430 54764976960 56590476192 57046851000 58948412700 61068859200 62878306880 68456221200 70738095240 73685515875 76062468000 76336074000 78597883600 84885714288 85570276500 88422619050 91274961600 94317460320 98247354500 101781432000 106107142860 113180952384 114093702000 117896825400 132633928575 136912442400 141476190480 147371031750 152124936000 152672148000 157195767200 169771428576 171140553000 176845238100 188634920640 196494709000 212214285720 221056547625 228187404000 235793650800 265267857150 273824884800 282952380960 294742063500 305344296000 314391534400 339542857152 342281106000 353690476200 392989418000 424428571440 442113095250 456374808000 471587301600 530535714300 565904761920 589484127000 663169642875 684562212000 707380952400 785978836000 848857142880 884226190500 943174603200 1061071428600 1178968254000 1326339285750 1369124424000 1414761904800 1571957672000 1697714285760 1768452381000 2122142857200 2357936508000 2652678571500 2829523809600 3536904762000 4244285714400 4715873016000 5305357143000 7073809524000 8488571428800 10610714286000 14147619048000 21221428572000 42442857144000
- Sum of all divisors σ(n): 162171078451200
- Sum of proper divisors (its aliquot sum) s(n): 119728221307200
- 42442857144000 is an abundant number, because the sum of its proper divisors (119728221307200) is greater than itself. Its abundance is 77285364163200
Bases of 42442857144000
- Binary: 10011010011001111111110110110001011110110000002
- Hexadecimal: 0x2699FF6C5EC0
- Base-36: F1LZ9AUO0
Squares and roots of 42442857144000
- 42442857144000 squared (424428571440002) is 1801396122545991836736000000
- 42442857144000 cubed (424428571440003) is 76456398288975049096376219241984000000000
-
The
square root of 42442857144000 is 6514818.2740579955 -
The
cube root of 42442857144000 is 34882.0128119619
Scales and comparisons
How big is 42442857144000?- 42,442,857,144,000 seconds is equal to 1,349,551 years, 29 weeks, 5 days, 12 hours.
-
To count from 1 to 42,442,857,144,000 would take you about three million, three hundred seventy-three thousand, eight hundred seventy-eight 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 42442857144000 cubic inches would be around 2906.8 feet tall.
Recreational maths with 42442857144000
- 42442857144000 backwards is 00044175824424
- 42442857144000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42442857144000's digits is 45
- More coming soon!
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The information we have on file for 42442857144000 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 42442857144000, math, Factors of 42442857144000, curriculum, school, college, exams, university, Prime factorization of 42442857144000, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, four hundred forty-two billion, eight hundred fifty-seven million, one hundred forty-four thousand.