42144016896000
42,144,016,896,000 is an even composite number composed of five prime numbers multiplied together.
42144016896000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 42144016896000:
212 × 32 × 53 × 313 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 31 × 31 × 31 × 307)See below for interesting mathematical facts about the number 42144016896000 from the Numbermatics database.
Names of 42144016896000
- Cardinal: 42144016896000 can be written as Forty-two trillion, one hundred forty-four billion, sixteen million, eight hundred ninety-six thousand.
Scientific notation
- Scientific notation: 4.2144016896 × 1013
Factors of 42144016896000
Divisors of 42144016896000
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 75 80 90 93 96 100 120 124 125 128 144 150 155 160 180 186 192 200 225 240 248 250 256 279 288 300 307 310 320 360 372 375 384 400 450 465 480 496 500 512 558 576 600 614 620 640 720 744 750 768 775 800 900 921 930 960 961 992 1000 1024 1116 1125 1152 1200 1228 1240 1280 1395 1440 1488 1500 1535 1536 1550 1600 1800 1842 1860 1920 1922 1984 2000 2048 2232 2250 2304 2325 2400 2456 2480 2560 2763 2790 2880 2883 2976 3000 3070 3072 3100 3200 3600 3684 3720 3840 3844 3875 3968 4000 4096 4464 4500 4605 4608 4650 4800 4805 4912 4960 5120 5526 5580 5760 5766 5952 6000 6140 6144 6200 6400 6975 7200 7368 7440 7675 7680 7688 7750 7936 8000 8649 8928 9000 9210 9216 9300 9517 9600 9610 9824 9920 10240 11052 11160 11520 11532 11625 11904 12000 12280 12288 12400 12800 13815 13950 14400 14415 14736 14880 15350 15360 15376 15500 15872 16000 17298 17856 18000 18420 18432 18600 19034 19200 19220 19648 19840 20480 22104 22320 23025 23040 23064 23250 23808 24000 24025 24560 24800 25600 27630 27900 28551 28800 28830 29472 29760 29791 30700 30720 30752 31000 31744 32000 34596 34875 35712 36000 36840 36864 37200 38068 38375 38400 38440 39296 39680 43245 44208 44640 46050 46080 46128 46500 47585 47616 48000 48050 49120 49600 51200 55260 55800 57102 57600 57660 58944 59520 59582 61400 61440 61504 62000 63488 64000 69075 69192 69750 71424 72000 72075 73680 74400 76136 76750 76800 76880 78592 79360 85653 86490 88416 89280 89373 92100 92160 92256 93000 95170 95232 96000 96100 98240 99200 102400 110520 111600 114204 115125 115200 115320 117888 119040 119164 120125 122800 123008 124000 126976 128000 138150 138384 139500 142755 142848 144000 144150 147360 148800 148955 152272 153500 153600 153760 157184 158720 171306 172980 176832 178560 178746 184200 184320 184512 186000 190340 190464 192000 192200 196480 198400 216225 221040 223200 228408 230250 230400 230640 235776 237925 238080 238328 240250 245600 246016 248000 256000 268119 276300 276768 279000 285510 285696 288000 288300 294720 295027 297600 297910 304544 307000 307200 307520 314368 317440 342612 345375 345960 353664 357120 357492 360375 368400 369024 372000 380680 380928 384000 384400 392960 396800 428265 432450 442080 446400 446865 456816 460500 460800 461280 471552 475850 476160 476656 480500 491200 492032 496000 512000 536238 552600 553536 558000 571020 571392 576000 576600 589440 590054 595200 595820 609088 614000 615040 628736 634880 685224 690750 691920 707328 713775 714240 714984 720750 736800 738048 744000 744775 761360 768000 768800 785920 793600 856530 864900 884160 885081 892800 893730 913632 921000 921600 922560 943104 951700 952320 953312 961000 982400 984064 992000 1072476 1081125 1105200 1107072 1116000 1142040 1142784 1152000 1153200 1178880 1180108 1189625 1190400 1191640 1218176 1228000 1230080 1257472 1340595 1370448 1381500 1383840 1414656 1427550 1428480 1429968 1441500 1473600 1475135 1476096 1488000 1489550 1522720 1536000 1537600 1571840 1587200 1713060 1729800 1768320 1770162 1785600 1787460 1827264 1842000 1845120 1886208 1903400 1904640 1906624 1922000 1964800 1968128 1984000 2141325 2144952 2162250 2210400 2214144 2232000 2234325 2284080 2304000 2306400 2357760 2360216 2379250 2380800 2383280 2436352 2456000 2460160 2655243 2681190 2740896 2763000 2767680 2829312 2855100 2856960 2859936 2883000 2947200 2950270 2952192 2976000 2979100 3045440 3075200 3143680 3174400 3426120 3459600 3536640 3540324 3568875 3571200 3574920 3654528 3684000 3690240 3723875 3772416 3806800 3813248 3844000 3929600 3936256 3968000 4282650 4289904 4324500 4420800 4425405 4428288 4464000 4468650 4568160 4608000 4612800 4715520 4720432 4758500 4761600 4766560 4872704 4912000 4920320 5310486 5362380 5481792 5526000 5535360 5658624 5710200 5713920 5719872 5766000 5894400 5900540 5904384 5952000 5958200 6090880 6150400 6287360 6702975 6852240 6919200 7073280 7080648 7137750 7142400 7149840 7309056 7368000 7375675 7380480 7447750 7613600 7626496 7688000 7859200 7936000 8565300 8579808 8649000 8841600 8850810 8856576 8928000 8937300 9136320 9145837 9225600 9431040 9440864 9517000 9523200 9533120 9745408 9824000 9840640 10620972 10706625 10724760 10963584 11052000 11070720 11171625 11317248 11420400 11439744 11532000 11788800 11801080 11808768 11904000 11916400 12181760 12300800 13276215 13405950 13704480 13838400 14146560 14161296 14275500 14284800 14299680 14618112 14736000 14751350 14760960 14895500 15227200 15252992 15376000 15718400 15872000 17130600 17159616 17298000 17683200 17701620 17713152 17856000 17874600 18272640 18291674 18451200 18862080 18881728 19034000 19066240 19490816 19648000 19681280 21241944 21413250 21449520 21927168 22104000 22127025 22141440 22343250 22840800 22879488 23064000 23577600 23602160 23808000 23832800 24363520 24601600 26552430 26811900 27408960 27437511 27676800 28293120 28322592 28551000 28569600 28599360 29236224 29472000 29502700 29521920 29791000 30454400 30505984 30752000 31436800 33514875 34261200 34319232 34596000 35366400 35403240 35426304 35712000 35749200 36545280 36583348 36878375 36902400 37763456 38068000 38132480 38981632 39296000 42483888 42826500 42899040 43854336 44208000 44254050 44282880 44686500 45681600 45729185 45758976 46128000 47155200 47204320 47616000 47665600 48727040 49203200 53104860 53623800 54817920 54875022 55353600 56586240 56645184 57102000 57198720 58472448 58944000 59005400 59043840 59582000 60908800 61011968 61504000 66381075 67029750 68522400 68638464 69192000 70732800 70806480 71424000 71498400 73090560 73166696 73756750 73804800 75526912 76136000 76264960 78592000 82312533 84967776 85653000 85798080 87708672 88416000 88508100 88565760 89373000 91363200 91458370 91517952 92256000 94310400 94408640 95331200 97454080 98406400 106209720 107247600 109635840 109750044 110635125 110707200 113290368 114204000 114397440 116944896 117888000 118010800 119164000 121817600 122023936 123008000 132762150 134059500 137044800 137187555 137276928 138384000 141465600 141612960 142848000 142996800 146181120 146333392 147513500 147609600 151053824 152272000 152529920 157184000 164625066 169935552 171306000 171596160 175417344 176832000 177016200 177131520 178746000 182726400 182916740 183035904 184512000 188817280 190662400 194908160 212419440 214495200 219271680 219500088 221270250 221414400 226580736 228408000 228645925 228794880 235776000 236021600 238328000 243635200 246016000 265524300 268119000 274089600 274375110 274553856 276768000 282931200 283225920 285993600 292362240 292666784 295027000 295219200 302107648 304544000 305059840 329250132 331905375 339871104 342612000 343192320 350834688 353664000 354032400 357492000 365452800 365833480 366071808 369024000 377634560 381324800 411562665 424838880 428990400 438543360 439000176 442540500 442828800 453161472 456816000 457291850 457589760 471552000 472043200 476656000 487270400 492032000 531048600 536238000 548179200 548750220 549107712 553536000 566451840 571987200 584724480 585333568 590054000 604215296 609088000 610119680 658500264 663810750 679742208 685224000 685937775 686384640 707328000 708064800 714984000 730905600 731666960 738048000 755269120 762649600 823125330 849677760 857980800 877086720 878000352 885081000 885657600 906322944 913632000 914583700 915179520 944086400 953312000 974540800 1062097200 1072476000 1096358400 1097500440 1098215424 1107072000 1132903680 1143229625 1143974400 1170667136 1180108000 1208430592 1218176000 1317000528 1327621500 1359484416 1370448000 1371875550 1372769280 1414656000 1416129600 1429968000 1461811200 1463333920 1476096000 1510538240 1525299200 1646250660 1699355520 1715961600 1754173440 1756000704 1770162000 1812645888 1827264000 1829167400 1830359040 1888172800 1906624000 2057813325 2124194400 2144952000 2192716800 2195000880 2214144000 2265807360 2286459250 2287948800 2341334272 2360216000 2436352000 2634001056 2655243000 2718968832 2740896000 2743751100 2745538560 2832259200 2859936000 2923622400 2926667840 3021076480 3050598400 3292501320 3398711040 3429688875 3431923200 3512001408 3540324000 3625291776 3654528000 3658334800 3776345600 3813248000 4115626650 4248388800 4289904000 4385433600 4390001760 4428288000 4531614720 4572918500 4575897600 4682668544 4720432000 4872704000 5268002112 5310486000 5437937664 5481792000 5487502200 5491077120 5664518400 5719872000 5853335680 6042152960 6585002640 6797422080 6859377750 6863846400 7024002816 7080648000 7309056000 7316669600 7552691200 7626496000 8231253300 8496777600 8579808000 8770867200 8780003520 9063229440 9145837000 9151795200 9365337088 9440864000 10289066625 10536004224 10620972000 10875875328 10963584000 10975004400 11329036800 11439744000 11706671360 13170005280 13594844160 13718755500 13727692800 14048005632 14161296000 14618112000 14633339200 15105382400 15252992000 16462506600 16993555200 17159616000 17560007040 18126458880 18291674000 18730674176 18881728000 20578133250 21072008448 21241944000 21927168000 21950008800 22658073600 22879488000 23413342720 26340010560 27189688320 27437511000 27455385600 28096011264 28322592000 29266678400 30210764800 32925013200 33987110400 34319232000 35120014080 36583348000 37461348352 37763456000 41156266500 42144016896 42483888000 43854336000 43900017600 45316147200 45758976000 46826685440 52680021120 54379376640 54875022000 56192022528 56645184000 58533356800 65850026400 67974220800 68638464000 70240028160 73166696000 75526912000 82312533000 84288033792 84967776000 87800035200 90632294400 93653370880 105360042240 109750044000 112384045056 113290368000 117066713600 131700052800 135948441600 137276928000 140480056320 146333392000 151053824000 164625066000 168576067584 169935552000 175600070400 187306741760 210720084480 219500088000 226580736000 234133427200 263400105600 271896883200 280960112640 292666784000 329250132000 337152135168 339871104000 351200140800 421440168960 439000176000 453161472000 468266854400 526800211200 561920225280 585333568000 658500264000 679742208000 702400281600 842880337920 878000352000 936533708800 1053600422400 1170667136000 1317000528000 1359484416000 1404800563200 1685760675840 1756000704000 2107200844800 2341334272000 2634001056000 2809601126400 3512001408000 4214401689600 4682668544000 5268002112000 7024002816000 8428803379200 10536004224000 14048005632000 21072008448000 42144016896000
- Sum of all divisors σ(n): 157500030944256
- Sum of proper divisors (its aliquot sum) s(n): 115356014048256
- 42144016896000 is an abundant number, because the sum of its proper divisors (115356014048256) is greater than itself. Its abundance is 73211997152256
Bases of 42144016896000
- Binary: 10011001010100011010110010100000010000000000002
- Hexadecimal: 0x26546B281000
- Base-36: EXSOZJ7K0
Squares and roots of 42144016896000
- 42144016896000 squared (421440168960002) is 1776118160130333474816000000
- 42144016896000 cubed (421440168960003) is 74852753749825207524759894491136000000000
-
The
square root of 42144016896000 is 6491842.3344995065 -
The
cube root of 42144016896000 is 34799.9518033419
Scales and comparisons
How big is 42144016896000?- 42,144,016,896,000 seconds is equal to 1,340,049 years, 19 weeks, 4 days, 8 hours.
-
To count from 1 to 42,144,016,896,000 would take you about three million, three hundred fifty thousand, one hundred twenty-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 42144016896000 cubic inches would be around 2900 feet tall.
Recreational maths with 42144016896000
- 42144016896000 backwards is 00069861044124
- 42144016896000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42144016896000's digits is 45
- More coming soon!
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The information we have on file for 42144016896000 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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