42198171664000
42,198,171,664,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42198171664000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
42198171664000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 42198171664000:
27 × 53 × 11 × 17 × 31 × 601 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 17 × 31 × 601 × 757)See below for interesting mathematical facts about the number 42198171664000 from the Numbermatics database.
Names of 42198171664000
- Cardinal: 42198171664000 can be written as Forty-two trillion, one hundred ninety-eight billion, one hundred seventy-one million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.2198171664 × 1013
Factors of 42198171664000
Divisors of 42198171664000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 31 32 34 40 44 50 55 62 64 68 80 85 88 100 110 124 125 128 136 155 160 170 176 187 200 220 248 250 272 275 310 320 340 341 352 374 400 425 440 496 500 527 544 550 601 620 640 680 682 704 748 757 775 800 850 880 935 992 1000 1054 1088 1100 1202 1240 1360 1364 1375 1408 1496 1514 1550 1600 1700 1705 1760 1870 1984 2000 2108 2125 2176 2200 2404 2480 2635 2720 2728 2750 2992 3005 3028 3100 3200 3400 3410 3520 3740 3785 3875 3968 4000 4216 4250 4400 4675 4808 4960 5270 5440 5456 5500 5797 5984 6010 6056 6200 6611 6800 6820 7040 7480 7570 7750 8000 8327 8432 8500 8525 8800 9350 9616 9920 10217 10540 10880 10912 11000 11594 11968 12020 12112 12400 12869 13175 13222 13600 13640 14960 15025 15140 15500 16000 16654 16864 17000 17050 17600 18631 18700 18925 19232 19840 20434 21080 21824 22000 23188 23375 23467 23936 24040 24224 24800 25738 26350 26444 27200 27280 28985 29920 30050 30280 31000 33055 33308 33728 34000 34100 35200 37262 37400 37850 38464 40868 41635 42160 42625 43648 44000 46376 46750 46934 48080 48448 49600 51085 51476 52700 52888 54400 54560 57970 59840 60100 60560 62000 64345 65875 66110 66616 67456 68000 68200 74524 74800 75125 75700 76928 81736 83270 84320 85250 88000 92752 93155 93500 93868 94625 96160 96896 99200 102170 102952 105400 105776 109120 112387 115940 117335 119680 120200 121120 124000 128690 131750 132220 133232 136000 136400 141559 144925 149048 149600 150250 151400 163472 165275 166540 168640 170500 176000 185504 186310 187000 187736 189250 192320 204340 204941 205904 208175 210800 211552 218240 224774 231880 234670 240400 242240 248000 255425 257380 258137 263500 264440 266464 272000 272800 283118 289850 298096 299200 300500 302800 316727 321725 326944 330550 333080 337280 341000 371008 372620 374000 375472 378500 384640 398939 408680 409882 411808 416350 421600 423104 449548 454957 463760 465775 469340 480800 484480 496000 510850 514760 516274 527000 528880 532928 545600 561935 566236 579700 586675 596192 598400 601000 605600 633454 643450 653888 661100 666160 682000 707795 724625 742016 745240 748000 750944 757000 797878 817360 819764 823616 826375 832700 843200 846208 899096 909914 927520 931550 938680 961600 1021700 1024705 1029520 1032548 1040875 1054000 1057760 1065856 1091200 1123870 1132472 1159400 1173350 1192384 1202000 1211200 1266908 1277125 1286900 1290685 1307776 1322200 1332320 1364000 1415590 1449250 1490480 1496000 1501888 1514000 1583635 1595756 1608625 1634720 1639528 1647232 1652750 1665400 1686400 1798192 1819828 1855040 1863100 1877360 1923200 1994695 2043400 2049410 2059040 2065096 2081750 2108000 2115520 2247740 2264944 2274785 2318800 2328875 2346700 2384768 2404000 2422400 2533816 2554250 2573800 2581370 2644400 2664640 2728000 2809675 2831180 2898500 2933375 2980960 2992000 3003776 3028000 3167270 3191512 3217250 3269440 3279056 3305500 3330800 3483997 3538975 3596384 3639656 3710080 3726200 3754720 3989390 4086800 4098820 4118080 4130192 4163500 4216000 4231040 4388329 4495480 4529888 4549570 4637600 4657750 4693400 4808000 5004527 5067632 5108500 5123525 5147600 5162740 5288800 5329280 5456000 5619350 5662360 5797000 5866750 5961920 6056000 6334540 6383024 6434500 6453425 6538880 6558112 6611000 6661600 6967994 7077950 7192768 7279312 7452400 7509440 7734269 7918175 7978780 8173600 8197640 8236160 8260384 8327000 8432000 8776658 8990960 9059776 9099140 9275200 9315500 9386800 9616000 9973475 10009054 10135264 10217000 10247050 10295200 10325480 10577600 11238700 11324720 11373925 11594000 11733500 11923840 12112000 12669080 12766048 12869000 12906850 13116224 13222000 13323200 13935988 14048375 14103667 14155900 14385536 14558624 14904800 15018880 15468538 15836350 15957560 16347200 16395280 16520768 16654000 17419985 17553316 17694875 17981920 18119552 18198280 18550400 18631000 18773600 19946950 20018108 20270528 20434000 20494100 20590400 20650960 21155200 21941645 22477400 22649440 22747850 23188000 23467000 25022635 25338160 25532096 25617625 25738000 25813700 26232448 26444000 26646400 27871976 28096750 28207334 28311800 29117248 29809600 30937076 31672700 31915120 32267125 32694400 32790560 33041536 33308000 34839970 35106632 35389750 35963840 36396560 37262000 37547200 38671345 39590875 39893900 40036216 40541056 40868000 40988200 41180800 41301920 43883290 44954800 45298880 45495700 46376000 46934000 49867375 50045270 50676320 51064192 51235250 51476000 51627400 52888000 55743952 56193500 56414668 56623600 56869625 58234496 59619200 61874152 63345400 63830240 64534250 65581120 66616000 69679940 70213264 70518335 70779500 71927680 72793120 74524000 75094400 77342690 79181750 79787800 80072432 81736000 81976400 82603840 85076959 87099925 87766580 89909600 90597760 90991400 92752000 93868000 99734750 100090540 101352640 102470500 102952000 103254800 105776000 109708225 111487904 112387000 112829336 113247200 113739250 123748304 125113175 126690800 127660480 129068500 131162240 133232000 139359880 140426528 141036670 141559000 145586240 149048000 154685380 155140337 158363500 159575600 160144864 163472000 163952800 165207680 170153918 174199850 175533160 179819200 181982800 187736000 193356725 199469500 200181080 202705280 204941000 205904000 206509600 219416450 222975808 224774000 225658672 226494400 227478500 239762339 247496608 250226350 253381600 255320960 258137000 278719760 280853056 282073340 283118000 291172480 298096000 309370760 310280674 316727000 319151200 320289728 327905600 340307836 348399700 351066320 352591675 359638400 363965600 375472000 386713450 398939000 400362160 409882000 413019200 425384795 435499625 438832900 445951616 449548000 451317344 452988800 454957000 479524678 494993216 500452700 506763200 516274000 548541125 557439520 561706112 564146680 566236000 618741520 620561348 625565875 633454000 638302400 640579456 655811200 680615672 696799400 702132640 705183350 727931200 773426900 775701685 797878000 800724320 819764000 826038400 850769590 870999250 877665800 899096000 902634688 909914000 959049356 966783625 989986432 1000905400 1013526400 1032548000 1097082250 1114879040 1128293360 1132472000 1198811695 1237483040 1241122696 1251131750 1266908000 1276604800 1361231344 1393598800 1404265280 1410366700 1455862400 1546853800 1551403370 1595756000 1601448640 1639528000 1701539180 1741998500 1755331600 1762958375 1798192000 1805269376 1819828000 1918098712 1933567250 2001810800 2065096000 2126923975 2194164500 2229758080 2256586720 2264944000 2397623390 2474966080 2482245392 2502263500 2533816000 2637385729 2722462688 2787197600 2808530560 2820733400 3093707600 3102806740 3191512000 3202897280 3279056000 3403078360 3483997000 3510663200 3525916750 3639656000 3836197424 3867134500 3878508425 4003621600 4130192000 4253847950 4388329000 4513173440 4795246780 4949932160 4964490784 5004527000 5067632000 5274771458 5444925376 5574395200 5641466800 5994058475 6187415200 6205613480 6383024000 6806156720 6967994000 7021326400 7051833500 7279312000 7672394848 7734269000 7757016850 8007243200 8507695900 8776658000 9026346880 9590493560 9928981568 10009054000 10549542916 10634619875 10889850752 11148790400 11282933600 11988116950 12374830400 12411226960 13186928645 13612313440 13935988000 14042652800 14103667000 15344789696 15468538000 15514033700 16014486400 17015391800 17553316000 19180987120 19392542125 19857963136 20018108000 21099085832 21269239750 22565867200 23976233900 24749660800 24822453920 26373857290 27224626880 27871976000 28207334000 29970292375 30689579392 30937076000 31028067400 34030783600 35106632000 38361974240 38785084250 40036216000 42198171664 42538479500 45131734400 47952467800 49644907840 52747714580 54449253760 55743952000 56414668000 59940584750 61874152000 62056134800 65934643225 68061567200 70213264000 76723948480 77570168500 80072432000 84396343328 85076959000 95904935600 99289815680 105495429160 112829336000 119881169500 123748304000 124112269600 131869286450 136123134400 153447896960 155140337000 168792686656 170153918000 191809871200 210990858320 225658672000 239762339000 248224539200 263738572900 272246268800 310280674000 329673216125 337585373312 340307836000 383619742400 421981716640 479524678000 496449078400 527477145800 620561348000 659346432250 680615672000 767239484800 843963433280 959049356000 1054954291600 1241122696000 1318692864500 1361231344000 1687926866560 1918098712000 2109908583200 2482245392000 2637385729000 3836197424000 4219817166400 5274771458000 8439634332800 10549542916000 21099085832000 42198171664000
- Sum of all divisors σ(n): 125468355317760
- Sum of proper divisors (its aliquot sum) s(n): 83270183653760
- 42198171664000 is an abundant number, because the sum of its proper divisors (83270183653760) is greater than itself. Its abundance is 41072011989760
Bases of 42198171664000
- Binary: 10011001100001000001110000100000111110100000002
- Hexadecimal: 0x266107083E80
- Base-36: EYHKLVTZ4
Squares and roots of 42198171664000
- 42198171664000 squared (421981716640002) is 1780685691784412528896000000
- 42198171664000 cubed (421981716640003) is 75141680501547234373745768402944000000000
-
The
square root of 42198171664000 is 6496011.9815160439 -
The
cube root of 42198171664000 is 34814.8513217501
Scales and comparisons
How big is 42198171664000?- 42,198,171,664,000 seconds is equal to 1,341,771 years, 17 weeks, 1 day, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 42,198,171,664,000 would take you about three million, three hundred fifty-four thousand, four hundred twenty-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 42198171664000 cubic inches would be around 2901.2 feet tall.
Recreational maths with 42198171664000
- 42198171664000 backwards is 00046617189124
- The number of decimal digits it has is: 14
- The sum of 42198171664000's digits is 49
- More coming soon!
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The information we have on file for 42198171664000 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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