42000906358400
42,000,906,358,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42000906358400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
42000906358400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 42000906358400:
27 × 52 × 11 × 113 × 181 × 227 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 113 × 181 × 227 × 257)See below for interesting mathematical facts about the number 42000906358400 from the Numbermatics database.
Names of 42000906358400
- Cardinal: 42000906358400 can be written as Forty-two trillion, nine hundred six million, three hundred fifty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.20009063584 × 1013
Factors of 42000906358400
Divisors of 42000906358400
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 113 128 160 176 181 200 220 226 227 257 275 320 352 362 400 440 452 454 514 550 565 640 704 724 800 880 904 905 908 1028 1100 1130 1135 1243 1285 1408 1448 1600 1760 1808 1810 1816 1991 2056 2200 2260 2270 2486 2497 2570 2825 2827 2896 3200 3520 3616 3620 3632 3982 4112 4400 4520 4525 4540 4972 4994 5140 5650 5654 5675 5792 6215 6425 7040 7232 7240 7264 7964 8224 8800 9040 9050 9080 9944 9955 9988 10280 11300 11308 11350 11584 12430 12485 12850 14135 14464 14480 14528 15928 16448 17600 18080 18100 18160 19888 19910 19976 20453 20560 22600 22616 22700 23168 24860 24970 25651 25700 28270 28960 29041 29056 31075 31856 32896 35200 36160 36200 36320 39776 39820 39952 40906 41087 41120 45200 45232 45400 46517 49720 49775 49940 51302 51400 56540 57920 58082 58339 62150 62425 63712 70675 72320 72400 72640 79552 79640 79904 81812 82174 82240 90400 90464 90800 93034 99440 99550 99880 102265 102604 102800 113080 115840 116164 116678 124300 124850 127424 128255 141350 144800 145205 145280 159104 159280 159808 163624 164348 164480 180800 180928 181600 186068 198880 199100 199760 204530 205208 205435 205600 224983 226160 232328 232585 233356 248600 249700 254848 256510 282161 282700 289600 290410 291695 318560 319451 319616 327248 328696 361600 361856 363200 372136 397760 398200 399520 409060 410416 410870 411200 449966 451957 452320 464656 465170 466712 497200 499400 511325 511687 513020 564322 565400 579200 580820 583390 637120 638902 641275 641729 654496 657392 726025 726400 744272 795520 796400 799040 818120 820832 821740 822400 899932 903914 904640 929312 930340 933424 994400 998800 1022650 1023374 1026040 1027175 1124915 1128644 1130800 1161640 1162925 1166780 1274240 1277804 1282550 1283458 1308992 1314784 1410805 1452050 1458475 1488544 1592800 1597255 1598080 1636240 1641664 1643480 1799864 1807828 1809280 1858624 1860680 1866848 1988800 1997600 2045300 2046748 2052080 2054350 2249830 2257288 2259785 2261600 2323280 2325850 2333560 2555608 2558435 2565100 2566916 2617984 2629568 2821610 2904100 2916950 2977088 3185600 3194510 3208645 3272480 3283328 3286960 3599728 3615656 3717248 3721360 3733696 3977600 3995200 4090600 4093496 4104160 4108700 4499660 4514576 4519570 4523200 4642831 4646560 4651700 4667120 5111216 5116870 5130200 5133832 5256421 5259136 5624575 5643220 5808200 5833900 5954176 6371200 6389020 6417290 6544960 6573920 6592307 7054025 7199456 7231312 7442720 7467392 7986275 7990400 8181200 8186992 8208320 8217400 8999320 9029152 9039140 9046400 9285662 9293120 9303400 9334240 10222432 10233740 10260400 10267664 10512842 10559359 11249150 11286440 11298925 11616400 11667800 12778040 12792175 12834580 13089920 13147840 13184614 14108050 14398912 14462624 14885440 15972550 16043225 16362400 16373984 16416640 16434800 17998640 18058304 18078280 18571324 18586240 18606800 18668480 20444864 20467480 20520800 20535328 21025684 21118718 22498300 22572880 22597850 23214155 23232800 23335600 25556080 25584350 25669160 26282105 26295680 26369228 28216100 28797824 28925248 29770880 31945100 32086450 32724800 32747968 32869600 32961535 35997280 36116608 36156560 37142648 37213600 37336960 40889728 40934960 41041600 41070656 42051368 42237436 44996600 45145760 45195700 46428310 46465600 46671200 51071141 51112160 51168700 51338320 52564210 52738456 52796795 56432200 57820631 57850496 63890200 64172900 65449600 65495936 65739200 65923070 71994560 72313120 72515377 74285296 74427200 81869920 82083200 82141312 84102736 84474872 89993200 90291520 90391400 92856620 92931200 93342400 102142282 102224320 102337400 102676640 105128420 105476912 105593590 112864400 115641262 116070775 116152949 127780400 128345800 131410525 131478400 131846140 143989120 144626240 145030754 148570592 148854400 163739840 164807675 168205472 168949744 179986400 180583040 180782800 185713240 186684800 204284564 204448640 204674800 205353280 210256840 210953824 211187180 225728800 231282524 232141550 232305898 255355705 255560800 256691600 262821050 263692280 263983975 289103155 289252480 290061508 297141184 327479680 329615350 336410944 337899488 359972800 361565600 362576885 371426480 408569128 409349600 410706560 420513680 421907648 422374360 451457600 462565048 464283100 464611796 510711410 511121600 513383200 525642100 527384560 527967950 578206310 580123016 580764745 594282368 659230700 672821888 675798976 719945600 723131200 725153770 742852960 817138256 818699200 841027360 843815296 844748720 902915200 925130096 928566200 929223592 1021422820 1022243200 1026766400 1051284200 1054769120 1055935900 1156412620 1160246032 1161529490 1193207567 1276778525 1318461400 1351597952 1445515775 1446262400 1450307540 1485705920 1634276512 1637398400 1682054720 1689497440 1812884425 1850260192 1857132400 1858447184 2042845640 2053532800 2102568400 2109538240 2111871800 2312825240 2320492064 2323058980 2386415134 2553557050 2636922800 2891031550 2900615080 2903823725 2971411840 3268553024 3364109440 3378994880 3625768850 3700520384 3714264800 3716894368 4085691280 4205136800 4219076480 4223743600 4625650480 4640984128 4646117960 4772830268 5107114100 5273845600 5782063100 5801230160 5807647450 5966037835 6537106048 6757989760 7251537700 7401040768 7428529600 7433788736 8171382560 8410273600 8447487200 9251300960 9281968256 9292235920 9545660536 10214228200 10547691200 11564126200 11602460320 11615294900 11932075670 13125283237 14503075400 14857059200 14867577472 16342765120 16820547200 16894974400 18502601920 18584471840 19091321072 20428456400 21095382400 23128252400 23204920640 23230589800 23864151340 26250566474 29006150800 29830189175 32685530240 33789948800 37005203840 37168943680 38182642144 40856912800 46256504800 46409841280 46461179600 47728302680 52501132948 58012301600 59660378350 65626416185 74337887360 76365284288 81713825600 92513009600 92922359200 95456605360 105002265896 116024603200 119320756700 131252832370 152730568576 163427651200 185026019200 185844718400 190913210720 210004531792 232049206400 238641513400 262505664740 328132080925 371689436800 381826421440 420009063584 477283026800 525011329480 656264161850 763652842880 840018127168 954566053600 1050022658960 1312528323700 1680036254336 1909132107200 2100045317920 2625056647400 3818264214400 4200090635840 5250113294800 8400181271680 10500226589600 21000453179200 42000906358400
- Sum of all divisors σ(n): 115774766190720
- Sum of proper divisors (its aliquot sum) s(n): 73773859832320
- 42000906358400 is an abundant number, because the sum of its proper divisors (73773859832320) is greater than itself. Its abundance is 31772953473920
Bases of 42000906358400
- Binary: 10011000110011000110010001101010001110100000002
- Hexadecimal: 0x2633191A8E80
- Base-36: EVYY77Q0W
Squares and roots of 42000906358400
- 42000906358400 squared (420009063584002) is 1764076134927085549250560000
- 42000906358400 cubed (420009063584003) is 74092796552160723765898601858760704000000
-
The
square root of 42000906358400 is 6480810.6250993019 -
The
cube root of 42000906358400 is 34760.5164888079
Scales and comparisons
How big is 42000906358400?- 42,000,906,358,400 seconds is equal to 1,335,498 years, 47 weeks, 8 hours, 53 minutes, 20 seconds.
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To count from 1 to 42,000,906,358,400 would take you about three million, three hundred thirty-eight thousand, seven hundred forty-seven 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 42000906358400 cubic inches would be around 2896.7 feet tall.
Recreational maths with 42000906358400
- 42000906358400 backwards is 00485360900024
- The number of decimal digits it has is: 14
- The sum of 42000906358400's digits is 41
- More coming soon!
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The information we have on file for 42000906358400 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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