42198121076384000
42,198,121,076,384,000 is an even composite number composed of six prime numbers multiplied together.
42198121076384000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 42198121076384000:
28 × 53 × 72 × 13 × 1732 × 2632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 173 × 173 × 263 × 263)See below for interesting mathematical facts about the number 42198121076384000 from the Numbermatics database.
Names of 42198121076384000
- Cardinal: 42198121076384000 can be written as Forty-two quadrillion, one hundred ninety-eight trillion, one hundred twenty-one billion, seventy-six million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 4.2198121076384 × 1016
Factors of 42198121076384000
Divisors of 42198121076384000
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 125 128 130 140 160 173 175 182 196 200 208 224 245 250 256 260 263 280 320 325 346 350 364 392 400 416 448 455 490 500 520 526 560 637 640 650 692 700 728 784 800 832 865 875 896 910 980 1000 1040 1052 1120 1211 1225 1274 1280 1300 1315 1384 1400 1456 1568 1600 1625 1664 1730 1750 1792 1820 1841 1960 2000 2080 2104 2240 2249 2275 2422 2450 2548 2600 2630 2768 2800 2912 3136 3185 3200 3250 3328 3419 3460 3500 3640 3682 3920 4000 4160 4208 4325 4480 4498 4550 4844 4900 5096 5200 5260 5536 5600 5824 6055 6125 6272 6370 6400 6500 6575 6838 6920 7000 7280 7364 7840 8000 8320 8416 8477 8650 8960 8996 9100 9205 9688 9800 10192 10400 10520 11072 11200 11245 11375 11648 12110 12250 12544 12740 12887 13000 13150 13676 13840 14000 14560 14728 15680 15743 15925 16000 16640 16832 16954 17095 17300 17992 18200 18410 19376 19600 20384 20800 21040 21625 22144 22400 22490 22750 23296 23933 24220 24500 25480 25774 26000 26300 27352 27680 28000 29120 29456 29929 30275 31360 31486 31850 32000 32875 33664 33908 34190 34600 35984 36400 36820 38752 39200 40768 41600 42080 42385 43250 44288 44800 44980 45499 45500 46025 47866 48440 49000 50960 51548 52000 52600 54704 55360 56000 56225 58240 58912 59858 60550 62720 62972 63700 64435 65750 67328 67816 68380 69169 69200 71968 72800 73640 77504 78400 78715 79625 81536 83200 84160 84770 85475 86500 89960 90998 91000 92050 95732 96880 98000 101920 103096 104000 105200 109408 110201 110720 112000 112450 116480 117824 119665 119716 121100 125944 127400 128870 131500 135632 136760 138338 138400 143936 145600 147280 149645 151375 155008 156800 157430 159250 163072 167531 168320 169540 170950 173000 179920 181996 182000 184100 191464 193760 196000 203840 206192 208000 209503 210400 211925 218816 220402 221440 224000 224900 227495 230125 235648 239330 239432 242200 251888 254800 257740 263000 271264 273520 276676 276800 281125 287872 291200 294560 299290 302750 310016 313600 314860 318493 318500 322175 335062 336640 339080 341900 345845 346000 359840 363992 364000 368200 382928 387520 389077 392000 393575 407680 412384 416000 419006 420800 423850 427375 437632 440804 449800 454990 460250 471296 478660 478864 484183 484400 503776 509600 515480 526000 542528 547040 551005 553352 553600 562250 575744 582400 589120 591487 598325 598580 605500 629720 636986 637000 644350 670124 678160 683800 691690 692000 719680 727984 728000 736400 748225 765856 775040 778154 784000 787150 815360 824768 837655 838012 841600 847700 854750 875264 881608 899197 899600 909980 920500 957320 957728 968366 968800 1007552 1019200 1030960 1047515 1052000 1059625 1085056 1094080 1102010 1106704 1107200 1124500 1137475 1178240 1182974 1196650 1197160 1211000 1259440 1273972 1274000 1288700 1340248 1356320 1367600 1383380 1384000 1439360 1455968 1456000 1466521 1472800 1496450 1531712 1550080 1556308 1568000 1574300 1592465 1610875 1649536 1675310 1676024 1683200 1695400 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497795459200 501403529900 507188955245 517539750250 529960704256 536087417600 538241340260 544463783500 573032605600 579644520280 586345613000 609799437520 610072736000 617112036800 622244324000 626754412375 641796518272 654894406400 662450880320 670109272000 672801675325 696913642880 704970448000 716290757000 724555650350 750522384640 753537876364 762249296900 771390046000 802245647840 811502328392 818618008000 828063600400 861186144416 871142053600 881588624000 916852168960 927431232448 927451616000 938152980800 941922345455 952811621125 975679100032 995590918400 1002807059800 1014377910490 1035079500500 1076482680520 1088927567000 1146065211200 1159289040560 1172691226000 1219598875040 1234224073600 1244488648000 1253508824750 1283593036544 1318691283637 1324901760640 1340218544000 1345603350650 1393827285760 1409940896000 1432581514000 1449111300700 1507075752728 1524498593800 1542780092000 1604491295680 1623004656784 1637236016000 1656127200800 1722372288832 1742284107200 1763177248000 1811389125875 1854862464896 1876305961600 1883844690910 1905623242250 1951358200064 2005614119600 2028755820980 2070159001000 2152965361040 2177855134000 2292130422400 2318578081120 2345382452000 2439197750080 2468448147200 2488977296000 2507017649500 2535944776225 2637382567274 2649803521280 2680437088000 2691206701300 2865163028000 2898222601400 3014151505456 3048997187600 3085560184000 3208982591360 3246009313568 3274472032000 3312254401600 3364008376625 3444744577664 3484568214400 3622778251750 3709724929792 3752611923200 3767689381820 3811246484500 4011228239200 4057511641960 4140318002000 4305930722080 4355710268000 4584260844800 4637156162240 4690764904000 4709611727275 4878395500160 4977954592000 5014035299000 5071889552450 5274765134548 5382413402600 5730326056000 5796445202800 6028303010912 6097994375200 6171120368000 6417965182720 6492018627136 6593456418185 6624508803200 6728016753250 6889489155328 6969136428800 7245556503500 7535378763640 7622492969000 8022456478400 8115023283920 8280636004000 8611861444160 8711420536000 9274312324480 9381529808000 9419223454550 9756791000320 10028070598000 10143779104900 10549530269096 10764826805200 11460652112000 11592890405600 12056606021824 12195988750400 12342240736000 12679723881125 12984037254272 13186912836370 13249017606400 13456033506500 14491113007000 15070757527280 15244985938000 16044912956800 16230046567840 16561272008000 17223722888320 17422841072000 18548624648960 18763059616000 18838446909100 20056141196000 20287558209800 21099060538192 21529653610400 22921304224000 23185780811200 23548058636375 24113212043648 24391977500800 25359447762250 25968074508544 26373825672740 26912067013000 28982226014000 30141515054560 30489971876000 32089825913600 32460093135680 32967282090925 33122544016000 34447445776640 34845682144000 37676893818200 40112282392000 40575116419600 42198121076384 43059307220800 46371561622400 47096117272750 48226424087296 48783955001600 50718895524500 52747651345480 53824134026000 57964452028000 60283030109120 60979943752000 64920186271360 65934564181850 66245088032000 75353787636400 80224564784000 81150232839200 84396242152768 86118614441600 92743123244800 94192234545500 101437791049000 105495302690960 107648268052000 115928904056000 120566060218240 121959887504000 129840372542720 131869128363700 150707575272800 160449129568000 162300465678400 164836410454625 168792484305536 172237228883200 188384469091000 202875582098000 210990605381920 215296536104000 231857808112000 241132120436480 243919775008000 263738256727400 301415150545600 324600931356800 329672820909250 337584968611072 376768938182000 405751164196000 421981210763840 430593072208000 463715616224000 527476513454800 602830301091200 649201862713600 659345641818500 753537876364000 811502328392000 843962421527680 861186144416000 1054953026909600 1205660602182400 1318691283637000 1507075752728000 1623004656784000 1687924843055360 2109906053819200 2637382567274000 3014151505456000 3246009313568000 4219812107638400 5274765134548000 6028303010912000 8439624215276800 10549530269096000 21099060538192000 42198121076384000
- Sum of all divisors σ(n): 132960946709295432
- Sum of proper divisors (its aliquot sum) s(n): 90762825632911432
- 42198121076384000 is an abundant number, because the sum of its proper divisors (90762825632911432) is greater than itself. Its abundance is 48564704556527432
Bases of 42198121076384000
- Binary: 100101011110101011110111101100001111001001100001000000002
- Hexadecimal: 0x95EAF7B0F26100
- Base-36: BJHZH79OGZK
Squares and roots of 42198121076384000
- 42198121076384000 squared (421981210763840002) is 1780681422377163554762515456000000
- 42198121076384000 cubed (421981210763840003) is 75141410259939225087516014443638156591104000000000
-
The
square root of 42198121076384000 is 205421812.5623079979 -
The
cube root of 42198121076384000 is 348148.3740960683
Scales and comparisons
How big is 42198121076384000?- 42,198,121,076,384,000 seconds is equal to 1,341,769,722 years, 45 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
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To count from 1 to 42,198,121,076,384,000 would take you about four billion, twenty-five million, three hundred nine thousand, one hundred sixty-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 42198121076384000 cubic inches would be around 29012.4 feet tall.
Recreational maths with 42198121076384000
- 42198121076384000 backwards is 00048367012189124
- 42198121076384000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42198121076384000's digits is 56
- More coming soon!
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The information we have on file for 42198121076384000 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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