42145637990400
42,145,637,990,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 42145637990400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2400 divisors.
42145637990400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 42145637990400:
219 × 34 × 52 × 7 × 53 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 53 × 107)See below for interesting mathematical facts about the number 42145637990400 from the Numbermatics database.
Names of 42145637990400
- Cardinal: 42145637990400 can be written as Forty-two trillion, one hundred forty-five billion, six hundred thirty-seven million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 4.21456379904 × 1013
Factors of 42145637990400
Divisors of 42145637990400
- Number of divisors d(n): 2400
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 53 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 106 107 108 112 120 126 128 135 140 144 150 159 160 162 168 175 180 189 192 200 210 212 214 216 224 225 240 252 256 265 270 280 288 300 315 318 320 321 324 336 350 360 371 378 384 400 405 420 424 428 432 448 450 477 480 504 512 525 530 535 540 560 567 576 600 630 636 640 642 648 672 675 700 720 742 749 756 768 795 800 810 840 848 856 864 896 900 945 954 960 963 1008 1024 1050 1060 1070 1080 1113 1120 1134 1152 1200 1260 1272 1280 1284 1296 1325 1344 1350 1400 1431 1440 1484 1498 1512 1536 1575 1590 1600 1605 1620 1680 1696 1712 1728 1792 1800 1855 1890 1908 1920 1926 2016 2025 2048 2100 2120 2140 2160 2226 2240 2247 2268 2304 2385 2400 2520 2544 2560 2568 2592 2650 2675 2688 2700 2800 2835 2862 2880 2889 2968 2996 3024 3072 3150 3180 3200 3210 3240 3339 3360 3392 3424 3456 3584 3600 3710 3745 3780 3816 3840 3852 3975 4032 4050 4096 4200 4240 4280 4293 4320 4452 4480 4494 4536 4608 4725 4770 4800 4815 5040 5088 5120 5136 5184 5300 5350 5376 5400 5565 5600 5670 5671 5724 5760 5778 5936 5992 6048 6144 6300 6360 6400 6420 6480 6678 6720 6741 6784 6848 6912 7155 7168 7200 7420 7490 7560 7632 7680 7704 7950 8025 8064 8100 8192 8400 8480 8560 8586 8640 8667 8904 8960 8988 9072 9216 9275 9450 9540 9600 9630 10017 10080 10176 10240 10272 10368 10600 10700 10752 10800 11130 11200 11235 11340 11342 11448 11520 11556 11872 11925 11984 12096 12288 12600 12720 12800 12840 12960 13356 13440 13482 13568 13696 13824 14175 14310 14336 14400 14445 14840 14980 15120 15264 15360 15408 15900 16050 16128 16200 16384 16695 16800 16960 17013 17120 17172 17280 17334 17808 17920 17976 18144 18432 18550 18725 18900 19080 19200 19260 20034 20160 20223 20352 20480 20544 20736 21200 21400 21465 21504 21600 22260 22400 22470 22680 22684 22896 23040 23112 23744 23850 23968 24075 24192 24576 25200 25440 25600 25680 25920 26712 26880 26964 27136 27392 27648 27825 28350 28355 28620 28672 28800 28890 29680 29960 30051 30240 30528 30720 30816 31800 32100 32256 32400 32768 33390 33600 33705 33920 34026 34240 34344 34560 34668 35616 35775 35840 35952 36288 36864 37100 37450 37800 38160 38400 38520 39697 40068 40320 40446 40704 40960 41088 41472 42400 42800 42930 43008 43200 43335 44520 44800 44940 45360 45368 45792 46080 46224 47488 47700 47936 48150 48384 49152 50085 50400 50880 51039 51200 51360 51840 53424 53760 53928 54272 54784 55296 55650 56175 56700 56710 57240 57344 57600 57780 59360 59920 60102 60480 60669 61056 61440 61632 63600 64200 64512 64800 65536 66780 67200 67410 67840 68052 68480 68688 69120 69336 71232 71550 71680 71904 72225 72576 73728 74200 74900 75600 76320 76800 77040 79394 80136 80640 80892 81408 81920 82176 82944 83475 84800 85065 85600 85860 86016 86400 86670 89040 89600 89880 90720 90736 91584 92160 92448 94976 95400 95872 96300 96768 98304 100170 100800 101115 101760 102078 102400 102720 103680 106848 107325 107520 107856 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72941568 73267200 73496160 73629696 73958400 74317824 75980800 76218240 76697600 76930560 77414400 77656320 78151680 78395904 78888960 80386425 81299456 81662400 82059264 82575360 82833408 83361792 84148224 85478400 85745520 86284800 86835200 87106560 87654400 87920640 88473600 88750080 91176960 91461888 91750400 91870200 92037120 92897280 92913664 93782016 94666752 95272800 96163200 97070400 97255424 97689600 97994880 98172928 98611200 99090432 101624320 102574080 102894624 103219200 103541760 104202240 104527872 105185280 106168320 107181900 108883200 109412352 109900800 110444544 110937600 113971200 114327360 115046400 116121600 116142080 117227520 117593856 117964800 118333440 121569280 121949184 122493600 122716160 123088896 123863040 124250112 125042688 126222336 127030400 128217600 128618280 129427200 130252800 130659840 131481600 132710400 136765440 137192832 137625600 138055680 138936320 139370496 140247040 140673024 142000128 142909200 145177600 145883136 146534400 146992320 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1469923200 1472593920 1486356480 1486618624 1514668032 1524364800 1538611200 1553126400 1563033600 1567918080 1577779200 1625989120 1641185280 1646313984 1656668160 1672445952 1714910400 1742131200 1750597632 1758412800 1767112704 1775001600 1823539200 1829237760 1840742400 1857945600 1858273280 1875640320 1881501696 1893335040 1951186944 1959897600 1963458560 1969422336 1988001792 2032486400 2051481600 2057892480 2070835200 2084044800 2090557440 2103705600 2188247040 2195085312 2208890880 2229927936 2250768384 2272002048 2286547200 2322841600 2344550400 2351877120 2366668800 2431385600 2438983680 2454323200 2461777920 2477260800 2485002240 2508668928 2524446720 2572365600 2601582592 2613196800 2625896448 2650669056 2735308800 2743856640 2761113600 2787409920 2813460480 2840002560 2917662720 2926780416 2939846400 2945187840 2973237248 3048729600 3077222400 3106252800 3126067200 3135836160 3155558400 3251978240 3282370560 3292627968 3313336320 3344891904 3429820800 3484262400 3516825600 3534225408 3550003200 3647078400 3658475520 3681484800 3715891200 3716546560 3751280640 3763003392 3786670080 3902373888 3919795200 3938844672 3976003584 4064972800 4102963200 4115784960 4141670400 4181114880 4207411200 4376494080 4390170624 4417781760 4459855872 4544004096 4573094400 4645683200 4689100800 4703754240 4733337600 4862771200 4877967360 4908646400 4923555840 4970004480 5017337856 5144731200 5203165184 5226393600 5251792896 5301338112 5470617600 5487713280 5522227200 5574819840 5626920960 5680005120 5853560832 5879692800 5890375680 6097459200 6154444800 6212505600 6252134400 6271672320 6311116800 6503956480 6564741120 6585255936 6626672640 6689783808 6859641600 6968524800 7033651200 7100006400 7294156800 7316951040 7362969600 7431782400 7433093120 7526006784 7573340160 7804747776 7839590400 7877689344 7952007168 8129945600 8205926400 8231569920 8283340800 8362229760 8752988160 8780341248 8835563520 8919711744 9146188800 9291366400 9378201600 9407508480 9466675200 9755934720 9817292800 9847111680 9940008960 10034675712 10289462400 10406330368 10452787200 10602676224 10941235200 10975426560 11044454400 11149639680 11253841920 11360010240 11707121664 11759385600 12194918400 12308889600 12425011200 12543344640 12622233600 13007912960 13129482240 13170511872 13253345280 13379567616 13719283200 13937049600 14067302400 14200012800 14588313600 14633902080 14725939200 14866186240 15052013568 15609495552 15679180800 15755378688 15904014336 16259891200 16411852800 16463139840 16566681600 16724459520 17560682496 17671127040 18292377600 18582732800 18756403200 18815016960 18933350400 19511869440 19694223360 19880017920 20069351424 20578924800 20812660736 20905574400 21882470400 21950853120 22088908800 22299279360 22720020480 23414243328 23518771200 24389836800 24617779200 24850022400 25086689280 26015825920 26258964480 26341023744 26506690560 26759135232 27438566400 27874099200 28134604800 28400025600 29267804160 29451878400 30104027136 31218991104 31358361600 31808028672 32519782400 32823705600 32926279680 33133363200 33448919040 35121364992 36584755200 37165465600 37630033920 37866700800 39023738880 39388446720 39760035840 40138702848 41157849600 41811148800 43764940800 43901706240 44177817600 44598558720 46828486656 47037542400 48779673600 49235558400 49700044800 50173378560 52031651840 52682047488 53013381120 54877132800 55748198400 56269209600 56800051200 58535608320 60208054272 62437982208 62716723200 65039564800 65647411200 65852559360 66266726400 66897838080 70242729984 73169510400 74330931200 75260067840 78047477760 78776893440 79520071680 80277405696 82315699200 83622297600 87803412480 88355635200 93656973312 94075084800 97559347200 98471116800 99400089600 100346757120 104063303680 105364094976 109754265600 111496396800 113600102400 117071216640 120416108544 125433446400 130079129600 131294822400 131705118720 132533452800 133795676160 140485459968 146339020800 150520135680 156094955520 159040143360 164631398400 167244595200 175606824960 187313946624 188150169600 195118694400 196942233600 198800179200 200693514240 210728189952 219508531200 222992793600 234142433280 240832217088 250866892800 260158259200 263410237440 265066905600 280970919936 292678041600 301040271360 312189911040 329262796800 334489190400 351213649920 376300339200 390237388800 393884467200 397600358400 401387028480 421456379904 439017062400 468284866560 501733785600 520316518400 526820474880 561941839872 585356083200 602080542720 658525593600 668978380800 702427299840 752600678400 780474777600 795200716800 842912759808 878034124800 936569733120 1003467571200 1053640949760 1170712166400 1204161085440 1317051187200 1404854599680 1505201356800 1560949555200 1685825519616 1756068249600 2006935142400 2107281899520 2341424332800 2634102374400 2809709199360 3010402713600 3512136499200 4214563799040 4682848665600 5268204748800 6020805427200 7024272998400 8429127598080 10536409497600 14048545996800 21072818995200 42145637990400
- Sum of all divisors σ(n): 183507604315200
- Sum of proper divisors (its aliquot sum) s(n): 141361966324800
- 42145637990400 is an abundant number, because the sum of its proper divisors (141361966324800) is greater than itself. Its abundance is 99216328334400
Bases of 42145637990400
- Binary: 10011001010100110010111100100000000000000000002
- Hexadecimal: 0x2654CBC80000
- Base-36: EXTFSOW00
Squares and roots of 42145637990400
- 42145637990400 squared (421456379904002) is 1776254801617847750492160000
- 42145637990400 cubed (421456379904003) is 74861391847695579535825558793355264000000
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The
square root of 42145637990400 is 6491967.1895658869 -
The
cube root of 42145637990400 is 34800.3979978267
Scales and comparisons
How big is 42145637990400?- 42,145,637,990,400 seconds is equal to 1,340,100 years, 48 weeks.
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To count from 1 to 42,145,637,990,400 would take you about three million, three hundred fifty thousand, two hundred fifty-two 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 42145637990400 cubic inches would be around 2900 feet tall.
Recreational maths with 42145637990400
- 42145637990400 backwards is 00409973654124
- 42145637990400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42145637990400's digits is 54
- More coming soon!
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The information we have on file for 42145637990400 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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