42047984740791507200
42,047,984,740,791,507,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 42047984740791507200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
42047984740791507200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 42047984740791507200:
28 × 52 × 41 × 239 × 12377 × 54171151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 41 × 239 × 12377 × 54171151)See below for interesting mathematical facts about the number 42047984740791507200 from the Numbermatics database.
Names of 42047984740791507200
- Cardinal: 42047984740791507200 can be written as Forty-two quintillion, forty-seven quadrillion, nine hundred eighty-four trillion, seven hundred forty billion, seven hundred ninety-one million, five hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 4.20479847407915072 × 1019
Factors of 42047984740791507200
Divisors of 42047984740791507200
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 128 160 164 200 205 239 256 320 328 400 410 478 640 656 800 820 956 1025 1195 1280 1312 1600 1640 1912 2050 2390 2624 3200 3280 3824 4100 4780 5248 5975 6400 6560 7648 8200 9560 9799 10496 11950 12377 13120 15296 16400 19120 19598 23900 24754 26240 30592 32800 38240 39196 47800 48995 49508 52480 61184 61885 65600 76480 78392 95600 97990 99016 123770 131200 152960 156784 191200 195980 198032 244975 247540 262400 305920 309425 313568 382400 391960 396064 489950 495080 507457 618850 627136 764800 783920 792128 979900 990160 1014914 1237700 1254272 1529600 1567840 1584256 1959800 1980320 2029828 2475400 2508544 2537285 2958103 3135680 3168512 3919600 3960640 4059656 4950800 5074570 5916206 6271360 7839200 7921280 8119312 9901600 10149140 11832412 12542720 12686425 14790515 15678400 15842560 16238624 19803200 20298280 23664824 25372850 29581030 31356800 32477248 39606400 40596560 47329648 50745700 54171151 59162060 62713600 64954496 73952575 79212800 81193120 94659296 101491400 108342302 118324120 121282223 129908992 147905150 162386240 189318592 202982800 216684604 236648240 242564446 270855755 295810300 324772480 378637184 405965600 433369208 473296480 485128892 541711510 591620600 606411115 649544960 757274368 811931200 866738416 946592960 970257784 1083423020 1183241200 1212822230 1354278775 1623862400 1733476832 1893185920 1940515568 2166846040 2221017191 2366482400 2425644460 2708557550 3032055575 3247724800 3466953664 3786371840 3881031136 4333692080 4442034382 4732964800 4851288920 5417115100 6064111150 6933907328 7762062272 8667384160 8884068764 9465929600 9702577840 10834230200 11105085955 12128222300 12946905089 13867814656 15524124544 17334768320 17768137528 18931859200 19405155680 21668460400 22210171910 24256444600 25893810178 31048249088 34669536640 35536275056 38810311360 43336920800 44420343820 48512889200 51787620356 55525429775 64734525445 69339073280 71072550112 77620622720 86673841600 88840687640 97025778400 103575240712 111050859550 129469050890 142145100224 155241245440 173347683200 177681375280 194051556800 207150481424 222101719100 258938101780 284290200448 323672627225 346695366400 355362750560 388103113600 414300962848 444203438200 517876203560 530823108649 568580400896 647345254450 670476335927 710725501120 776206227200 828601925696 888406876400 1035752407120 1061646217298 1294690508900 1340952671854 1421451002240 1657203851392 1776813752800 2071504814240 2123292434596 2589381017800 2654115543245 2681905343708 2842902004480 3314407702784 3352381679635 3553627505600 4143009628480 4246584869192 5178762035600 5308231086490 5363810687416 6704763359270 7107255011200 8286019256960 8493169738384 10357524071200 10616462172980 10727621374832 13270577716225 13409526718540 14214510022400 16572038513920 16761908398175 16986339476768 20715048142400 21232924345960 21455242749664 26541155432450 26819053437080 27489529773007 33523816796350 33972678953536 41430096284800 42465848691920 42910485499328 53082310864900 53638106874160 54979059546014 67047633592700 67945357907072 82860192569600 84931697383840 85820970998656 106164621729800 107276213748320 109958119092028 134095267185400 135890715814144 137447648865035 160243844286553 169863394767680 171641941997312 212329243459600 214552427496640 219916238184056 268190534370800 274895297730070 320487688573106 339726789535360 424658486919200 429104854993280 439832476368112 536381068741600 549790595460140 640975377146212 679453579070720 687238244325175 801219221432765 849316973838400 858209709986560 879664952736224 1072762137483200 1099581190920280 1281950754292424 1374476488650350 1602438442865530 1698633947676800 1759329905472448 2145524274966400 2199162381840560 2563901508584848 2748952977300700 3204876885731060 3397267895353600 3518659810944896 4006096107163825 4291048549932800 4398324763681120 5127803017169696 5497905954601400 6409753771462120 6569997615748673 7037319621889792 8012192214327650 8796649527362240 10255606034339392 10995811909202800 12819507542924240 13139995231497346 16024384428655300 17593299054724480 20511212068678784 21991623818405600 25639015085848480 26279990462994692 32048768857310600 32849988078743365 35186598109448960 41022424137357568 43983247636811200 51278030171696960 52559980925989384 64097537714621200 65699976157486730 87966495273622400 102556060343393920 105119961851978768 128195075429242400 131399952314973460 164249940393716825 175932990547244800 205112120686787840 210239923703957536 256390150858484800 262799904629946920 328499880787433650 420479847407915072 512780301716969600 525599809259893840 656999761574867300 840959694815830144 1025560603433939200 1051199618519787680 1313999523149734600 1681919389631660288 2102399237039575360 2627999046299469200 4204798474079150720 5255998092598938400 8409596948158301440 10511996185197876800 21023992370395753600 42047984740791507200
- Sum of all divisors σ(n): 107068489503721159680
- Sum of proper divisors (its aliquot sum) s(n): 65020504762929652480
- 42047984740791507200 is an abundant number, because the sum of its proper divisors (65020504762929652480) is greater than itself. Its abundance is 22972520022138145280
Bases of 42047984740791507200
- Binary: 1001000111100010000111001101010111100010111110110001011001000000002
- Hexadecimal: 0x2478873578BEC5900
- Base-36: 8VGLALTI9BDA8
Squares and roots of 42047984740791507200
- 42047984740791507200 squared (420479847407915072002) is 1768033020761835432935026739647651840000
- 42047984740791507200 cubed (420479847407915072003) is 74342225478209170324214039990579608341776563494453248000000
-
The
square root of 42047984740791507200 is 6484441744.7295728789 -
The
cube root of 42047984740791507200 is 3477349.9207325029
Scales and comparisons
How big is 42047984740791507200?- 42,047,984,740,791,507,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,047,984,740,791,507,200 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42047984740791507200 cubic inches would be around 289779.2 feet tall.
Recreational maths with 42047984740791507200
- 42047984740791507200 backwards is 00270519704748974024
- 42047984740791507200 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 42047984740791507200's digits is 80
- More coming soon!
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The information we have on file for 42047984740791507200 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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