42190852120200
42,190,852,120,200 is an even composite number composed of eight prime numbers multiplied together.
42190852120200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 42190852120200:
23 × 33 × 52 × 7 × 17 × 109 × 193 × 3121
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 17 × 109 × 193 × 3121)See below for interesting mathematical facts about the number 42190852120200 from the Numbermatics database.
Names of 42190852120200
- Cardinal: 42190852120200 can be written as Forty-two trillion, one hundred ninety billion, eight hundred fifty-two million, one hundred twenty thousand, two hundred.
Scientific notation
- Scientific notation: 4.21908521202 × 1013
Factors of 42190852120200
Divisors of 42190852120200
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 17 18 20 21 24 25 27 28 30 34 35 36 40 42 45 50 51 54 56 60 63 68 70 72 75 84 85 90 100 102 105 108 109 119 120 126 135 136 140 150 153 168 170 175 180 189 193 200 204 210 216 218 225 238 252 255 270 280 300 306 315 327 340 350 357 360 378 386 408 420 425 436 450 459 476 504 510 525 540 545 579 595 600 612 630 654 675 680 700 714 756 763 765 772 840 850 872 900 918 945 952 965 981 1020 1050 1071 1080 1090 1158 1190 1224 1260 1275 1308 1350 1351 1400 1428 1512 1526 1530 1544 1575 1635 1700 1737 1785 1800 1836 1853 1890 1930 1962 2040 2100 2142 2180 2289 2295 2316 2380 2520 2550 2616 2700 2702 2725 2856 2895 2943 2975 3052 3060 3121 3150 3213 3270 3281 3400 3474 3570 3672 3706 3780 3815 3825 3860 3924 4053 4200 4284 4360 4578 4590 4632 4725 4760 4825 4905 5100 5211 5355 5400 5404 5450 5559 5790 5886 5950 6104 6120 6242 6300 6426 6540 6562 6755 6867 6948 7140 7412 7560 7630 7650 7720 7848 8106 8175 8568 8685 8925 9156 9180 9265 9363 9450 9650 9810 9843 10200 10422 10710 10808 10900 11118 11445 11475 11580 11772 11900 12159 12484 12600 12852 12971 13080 13124 13510 13734 13896 14280 14475 14715 14824 15260 15300 15605 16065 16212 16350 16405 16677 17370 17850 18312 18360 18530 18726 18900 19075 19300 19620 19686 20265 20601 20844 21037 21420 21800 21847 22236 22890 22950 22967 23160 23544 23800 24318 24525 24968 25704 25942 26055 26248 26775 27020 27468 27795 28089 28950 29430 29529 30520 30600 31210 32130 32424 32700 32810 33354 33775 34335 34740 35700 36477 37060 37452 37800 38150 38600 38913 39240 39372 40530 41202 41688 42074 42840 43425 43694 44472 45780 45900 45934 46325 46815 48636 49050 49215 50031 51884 52110 53057 53550 54040 54936 55590 56178 57225 57900 58860 59058 60795 62420 63111 64260 64855 65400 65541 65620 66708 67550 68670 68901 69480 71400 72954 73575 74120 74904 76300 77826 78025 78744 80325 81060 82025 82404 83385 84148 84267 86850 87388 88587 91560 91800 91868 92650 93630 97272 98100 98430 100062 101325 103005 103768 104220 105185 106114 107100 109235 111180 112356 114450 114835 115800 116739 117720 118116 121590 124840 126222 128520 129710 130275 131082 131240 133416 135100 137340 137802 138975 140445 145908 147150 147259 147645 152600 155652 156050 159171 160650 162120 164050 164808 166770 168296 168534 171675 173700 174776 177174 182385 183736 185300 187260 189333 194565 196200 196623 196860 200124 202650 206010 206703 208440 210370 212228 214200 218470 222360 224712 228900 229670 233478 234075 236232 243180 246075 250155 252444 259420 260550 262164 265285 270200 274680 275604 277950 280890 291816 294300 294518 295290 303975 311304 312100 315555 318342 321300 324275 327705 328100 333540 337068 340189 343350 344505 347400 350217 354348 357629 364770 370600 371399 374520 378666 389130 393246 393720 400248 405300 412020 413406 416925 420740 421335 424456 436940 441777 442935 457800 459340 466956 468150 477513 486360 492150 500310 504888 515025 518840 521100 524328 525925 530570 546175 551208 555900 561780 567999 574175 583695 588600 589036 589869 590580 602353 607950 620109 624200 631110 636684 642600 648550 655410 656200 667080 674136 680378 686700 689010 700434 702225 708696 715258 729540 736295 738225 742798 757332 778260 786492 795855 810600 824040 826812 833850 841480 842670 873880 883554 885870 911925 918680 933912 936300 946665 955026 972825 983115 984300 1000620 1020567 1030050 1033515 1042200 1051850 1061140 1072887 1092350 1111800 1114197 1123560 1135998 1148350 1167390 1178072 1179738 1181160 1204706 1215900 1240218 1250775 1262220 1273368 1297100 1310820 1325331 1326425 1360756 1373400 1378020 1400868 1404450 1430516 1432539 1459080 1472590 1476450 1485596 1514664 1556520 1572984 1577775 1591710 1638525 1653624 1667700 1685340 1700945 1722525 1751085 1767108 1771740 1788145 1807059 1823850 1856995 1872600 1893330 1910052 1945650 1966230 1968600 2001240 2041134 2060100 2067030 2103700 2106675 2122280 2145774 2184700 2208885 2214675 2228394 2271996 2296700 2334780 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9035295 9185103 9284975 9466650 9525292 9550260 9655983 9831150 10006200 10013612 10027773 10205670 10240001 10335150 10602648 10611400 10728870 10842354 11044425 11141970 11359980 11460312 11566426 11673900 11797380 11906615 11937825 12047060 12246804 12402180 12517015 12622200 12649413 12874644 13108200 13253310 13370364 13607560 13780200 14008680 14199975 14287938 14305160 14325390 14456472 14725900 14746725 14855960 15020418 15058825 15308505 15502725 15903972 15917100 16093305 16263531 16712955 16853400 16865884 17009450 17349639 17510850 17671080 17717400 17881450 18070590 18370206 18569950 18933300 19050584 19100520 19311966 19662300 19879965 20027224 20055546 20411340 20480002 20670300 21082355 21431907 21457740 21684708 22088850 22283940 22530627 22719960 23132852 23347800 23594760 23813230 23875650 24094120 24493608 24804360 25034030 25298826 25514175 25749288 26506620 26740728 26822175 27105885 27854925 28399950 28575876 28650780 28916065 29451800 29493450 30040836 30117650 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102400010 104097834 105411775 107159535 107288700 108423540 111419700 112653135 113599800 113844717 115664260 117973800 119066150 120470600 121447473 122468040 122880012 124021800 125170150 126494130 128591442 128746440 130108248 131312954 132533100 133703640 135183762 135529425 138797112 142879380 143253900 143360014 144580325 150204180 151792956 153085050 153600015 156146751 159039720 160933050 161929964 162635310 167129550 168658840 171455256 173496390 178599225 180245016 180705900 183702060 184320018 187755225 189741195 193119660 196969431 198799650 200555460 202412455 204113400 204800020 208195668 210823550 214319070 214577400 215040021 216847080 222839400 225306270 227689434 229627575 231328520 238132300 241399575 242894946 245760024 250340300 250694325 252988260 256000025 257182884 260244585 262625908 265066200 270367524 271058850 276480027 285758760 286507800 286720028 289160650 300408360 303585912 306170100 307200030 312293502 316235325 321478605 321866100 323859928 325270620 328282385 334259100 337959405 346992780 357198450 358400035 361411800 364342419 367404120 368640036 375510450 379482390 386239320 393938862 397599300 401110920 404824910 406588275 409600040 416391336 421647100 428638140 430080042 433740975 450612540 455378868 459255150 459595339 460800045 476264600 482799150 485789892 500680600 501388650 505976520 512000050 514365768 520489170 525251816 535797675 540735048 542117700 552960054 563265675 569223585 573440056 578321300 590908293 607237365 612340200 614400060 624587004 632470650 642957210 643732200 645120063 650541240 656564770 668518200 675918810 693985560 714396900 716800070 728684838 737280072 751020900 758964780 768000075 780733755 787877724 795198600 809649820 813176550 843294200 857276280 860160084 867481950 901225080 910757736 918510300 919190678 921600090 948705975 965598300 971579784 984847155 1002777300 1012062275 1024000100 1040978340 1071595350 1075200105 1084235400 1093027257 1105920108 1116160109 1126531350 1138447170 1156642600 1181816586 1214474730 1228800120 1249174008 1264941300 1285914420 1290240126 1301222925 1313129540 1351837620 1378786017 1382400135 1428793800 1433600140 1457369676 1502041800 1517929560 1536000150 1561467510 1575755448 1607393025 1619299640 1626353100 1641411925 1689797025 1720320168 1734963900 1772724879 1792000175 1821712095 1837020600 1838381356 1843200180 1897411950 1931196600 1935360189 1969694310 2005554600 2024124550 2048000200 2081956680 2143190700 2150400210 2186054514 2211840216 2232320218 2253062700 2276894340 2297976695 2304000225 2363633172 2428949460 2529882600 2571828840 2580480252 2602445850 2626259080 2703675240 2757572034 2764800270 2846117925 2867200280 2914739352 2954541465 3036186825 3072000300 3122935020 3214786050 3225600315 3252706200 3282823850 3348480327 3379594050 3469927800 3545449758 3584000350 3643424190 3676762712 3686400360 3794823900 3870720378 3903668775 3939388620 4048249100 4136358051 4286381400 4300800420 4372109028 4464640436 4506125400 4553788680 4595953390 4608000450 4727266344 4857898920 4924235775 5160960504 5204891700 5376000525 5465136285 5515144068 5529600540 5580800545 5692235850 5909082930 6072373650 6144000600 6245870040 6429572100 6451200630 6565647700 6696960654 6759188100 6893930085 6912000675 7090899516 7168000700 7286848380 7589647800 7741440756 7807337550 7813120763 7878777240 8096498200 8272716102 8601600840 8744218056 8863624395 8929280872 9108560475 9191906780 9216000900 9676800945 9848471550 10045440981 10409783400 10752001050 10930272570 11030288136 11059201080 11161601090 11384471700 11489883475 11818165860 12144747300 12409074153 12859144200 12902401260 13131295400 13393921308 13518376200 13787860170 13824001350 14181799032 14336001400 14573696760 14772707325 15482881512 15614675100 15626241526 16128001575 16545432204 16742401635 17727248790 18217120950 18383813560 18432001800 19353601890 19696943100 20090881962 20681790255 21504002100 21860545140 22323202180 22768943400 22979766950 23439362289 23636331720 24289494600 24818148306 25804802520 26787842616 27325681425 27575720340 27648002700 27904002725 29545414650 30136322943 31229350200 31252483052 32256003150 33090864408 33484803270 34469650425 35454497580 36434241900 38707203780 39065603815 39393886200 40181763924 41363580510 43008004200 43721090280 44318121975 44646404360 45959533900 46878724578 48384004725 49636296612 50227204905 54651362850 55151440680 55296005400 55808005450 59090829300 60272645886 62045370765 62504966104 64512006300 66969606540 68939300850 70318086867 70908995160 72868483800 77414407560 78131207630 80363527848 82727161020 83712008175 88636243950 91919067800 93757449156 96768009450 99272593224 100454409810 103408951275 109302725700 111616010900 117196811445 118181658600 120545291772 124090741530 129024012600 133939213080 137878601700 140636173734 150681614715 156262415260 165454322040 167424016350 177272487900 187514898312 193536018900 195328019075 200908819620 206817902550 210954260601 218605451400 223232021800 234393622890 241090583544 248181483060 251136024525 275757203400 281272347468 301363229430 310226853825 312524830520 334848032700 351590434335 354544975800 387072037800 390656038150 401817639240 413635805100 421908521202 468787245780 496362966120 502272049050 562544694936 585984057225 602726458860 620453707650 669696065400 703180868670 753408073575 781312076300 827271610200 843817042404 937574491560 1004544098100 1054771303005 1171968114450 1205452917720 1240907415300 1406361737340 1506816147150 1562624152600 1687634084808 1757952171675 2009088196200 2109542606010 2343936228900 2481814830600 2812723474680 3013632294300 3515904343350 4219085212020 4687872457800 5273856515025 6027264588600 7031808686700 8438170424040 10547713030050 14063617373400 21095426060100 42190852120200
- Sum of all divisors σ(n): 178444328832000
- Sum of proper divisors (its aliquot sum) s(n): 136253476711800
- 42190852120200 is an abundant number, because the sum of its proper divisors (136253476711800) is greater than itself. Its abundance is 94062624591600
Bases of 42190852120200
- Binary: 10011001011111010100101100000011011110100010002
- Hexadecimal: 0x265F52C0DE88
- Base-36: EYE7K0LU0
Squares and roots of 42190852120200
- 42190852120200 squared (421908521202002) is 1780068002628584835248040000
- 42190852120200 cubed (421908521202003) is 75102585862802407669350336126894408000000
-
The
square root of 42190852120200 is 6495448.5695908639 -
The
cube root of 42190852120200 is 34812.8382521911
Scales and comparisons
How big is 42190852120200?- 42,190,852,120,200 seconds is equal to 1,341,538 years, 30 weeks, 5 days, 16 hours, 30 minutes.
-
To count from 1 to 42,190,852,120,200 would take you about three million, three hundred fifty-three thousand, eight hundred forty-six 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 42190852120200 cubic inches would be around 2901.1 feet tall.
Recreational maths with 42190852120200
- 42190852120200 backwards is 00202125809124
- 42190852120200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42190852120200's digits is 36
- More coming soon!
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Numbermatics. (2024). Number 42190852120200 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/42190852120200/
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The information we have on file for 42190852120200 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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