42429544416000
42,429,544,416,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42429544416000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 720 divisors.
42429544416000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 42429544416000:
28 × 34 × 53 × 7 × 2338489
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 2338489)See below for interesting mathematical facts about the number 42429544416000 from the Numbermatics database.
Names of 42429544416000
- Cardinal: 42429544416000 can be written as Forty-two trillion, four hundred twenty-nine billion, five hundred forty-four million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 4.2429544416 × 1013
Factors of 42429544416000
Divisors of 42429544416000
- Number of divisors d(n): 720
-
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 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 250 252 256 270 280 288 300 315 320 324 336 350 360 375 378 384 400 405 420 432 448 450 480 500 504 525 540 560 567 576 600 630 640 648 672 675 700 720 750 756 768 800 810 840 864 875 896 900 945 960 1000 1008 1050 1080 1120 1125 1134 1152 1200 1260 1280 1296 1344 1350 1400 1440 1500 1512 1575 1600 1620 1680 1728 1750 1792 1800 1890 1920 2000 2016 2025 2100 2160 2240 2250 2268 2304 2400 2520 2592 2625 2688 2700 2800 2835 2880 3000 3024 3150 3200 3240 3360 3375 3456 3500 3600 3780 3840 4000 4032 4050 4200 4320 4480 4500 4536 4725 4800 5040 5184 5250 5376 5400 5600 5670 5760 6000 6048 6300 6400 6480 6720 6750 6912 7000 7200 7560 7875 8000 8064 8100 8400 8640 8960 9000 9072 9450 9600 10080 10125 10368 10500 10800 11200 11340 11520 12000 12096 12600 12960 13440 13500 14000 14175 14400 15120 15750 16000 16128 16200 16800 17280 18000 18144 18900 19200 20160 20250 20736 21000 21600 22400 22680 23625 24000 24192 25200 25920 26880 27000 28000 28350 28800 30240 31500 32000 32400 33600 34560 36000 36288 37800 40320 40500 42000 43200 44800 45360 47250 48000 48384 50400 51840 54000 56000 56700 57600 60480 63000 64800 67200 70875 72000 72576 75600 80640 81000 84000 86400 90720 94500 96000 100800 103680 108000 112000 113400 120960 126000 129600 134400 141750 144000 145152 151200 162000 168000 172800 181440 189000 201600 216000 224000 226800 241920 252000 259200 283500 288000 302400 324000 336000 362880 378000 403200 432000 453600 504000 518400 567000 604800 648000 672000 725760 756000 864000 907200 1008000 1134000 1209600 1296000 1512000 1814400 2016000 2268000 2338489 2592000 3024000 3628800 4536000 4676978 6048000 7015467 9072000 9353956 11692445 14030934 16369423 18144000 18707912 21046401 23384890 28061868 32738846 35077335 37415824 42092802 46769780 49108269 56123736 58462225 63139203 65477692 70154670 74831648 81847115 84185604 93539560 98216538 105232005 112247472 116924450 126278406 130955384 140309340 147324807 149663296 163694230 168371208 175386675 187079120 189417609 196433076 210464010 224494944 233848900 245541345 252556812 261910768 280618680 292311125 294649614 299326592 315696015 327388460 336742416 350773350 374158240 378835218 392866152 409235575 420928020 441974421 448989888 467697800 491082690 505113624 523821536 526160025 561237360 584622250 589299228 598653184 631392030 654776920 673484832 701546700 736624035 748316480 757670436 785732304 818471150 841856040 876933375 883948842 897979776 935395600 947088045 982165380 1010227248 1047643072 1052320050 1122474720 1169244500 1178598456 1227706725 1262784060 1309553840 1325923263 1346969664 1403093400 1473248070 1496632960 1515340872 1571464608 1578480075 1636942300 1683712080 1753866750 1767897684 1795959552 1870791200 1894176090 1964330760 2020454496 2046177875 2095286144 2104640100 2209872105 2244949440 2338489000 2357196912 2455413450 2525568120 2619107680 2630800125 2651846526 2693939328 2806186800 2946496140 2993265920 3030681744 3142929216 3156960150 3273884600 3367424160 3507733500 3535795368 3683120175 3741582400 3788352180 3928661520 4040908992 4092355750 4190572288 4209280200 4419744210 4489898880 4676978000 4714393824 4735440225 4910826900 5051136240 5238215360 5261600250 5303693052 5387878656 5612373600 5892992280 6061363488 6138533625 6285858432 6313920300 6547769200 6629616315 6734848320 7015467000 7071590736 7366240350 7483164800 7576704360 7857323040 7892400375 8081817984 8184711500 8418560400 8839488420 8979797760 9353956000 9428787648 9470880450 9821653800 10102272480 10476430720 10523200500 10607386104 11049360525 11224747200 11785984560 12122726976 12277067250 12571716864 12627840600 13095538400 13259232630 13469696640 14030934000 14143181472 14732480700 14966329600 15153408720 15714646080 15784800750 16163635968 16369423000 16837120800 17678976840 18415600875 18707912000 18857575296 18941760900 19643307600 20204544960 20952861440 21046401000 21214772208 22098721050 22449494400 23571969120 23677201125 24245453952 24554134500 25255681200 26191076800 26518465260 26939393280 28061868000 28286362944 29464961400 30306817440 31429292160 31569601500 32738846000 33148081575 33674241600 35357953680 36831201750 37415824000 37715150592 37883521800 39286615200 40409089920 42092802000 42429544416 44197442100 44898988800 47143938240 47354402250 48490907904 49108269000 50511362400 52382153600 53036930520 55246802625 56123736000 56572725888 58929922800 60613634880 62858584320 63139203000 65477692000 66296163150 67348483200 70715907360 73662403500 74831648000 75767043600 78573230400 80818179840 84185604000 84859088832 88394884200 94287876480 94708804500 98216538000 101022724800 104764307200 106073861040 110493605250 112247472000 113145451776 117859845600 121227269760 126278406000 130955384000 132592326300 134696966400 141431814720 147324807000 151534087200 157146460800 165740407875 168371208000 169718177664 176789768400 188575752960 189417609000 196433076000 202045449600 212147722080 220987210500 224494944000 235719691200 242454539520 252556812000 261910768000 265184652600 282863629440 294649614000 303068174400 314292921600 331480815750 336742416000 339436355328 353579536800 378835218000 392866152000 404090899200 424295444160 441974421000 471439382400 505113624000 523821536000 530369305200 565727258880 589299228000 606136348800 662961631500 673484832000 707159073600 757670436000 785732304000 848590888320 883948842000 942878764800 1010227248000 1060738610400 1178598456000 1212272697600 1325923263000 1414318147200 1515340872000 1571464608000 1697181776640 1767897684000 2020454496000 2121477220800 2357196912000 2651846526000 2828636294400 3030681744000 3535795368000 4242954441600 4714393824000 5303693052000 6061363488000 7071590736000 8485908883200 10607386104000 14143181472000 21214772208000 42429544416000
- Sum of all divisors σ(n): 180449786637120
- Sum of proper divisors (its aliquot sum) s(n): 138020242221120
- 42429544416000 is an abundant number, because the sum of its proper divisors (138020242221120) is greater than itself. Its abundance is 95590697805120
Bases of 42429544416000
- Binary: 10011010010110111001011110110001000011000000002
- Hexadecimal: 0x2696E5EC4300
- Base-36: F1FV38W00
Squares and roots of 42429544416000
- 42429544416000 squared (424295444160002) is 1800266239349316781056000000
- 42429544416000 cubed (424295444160003) is 76384476363097123301069699383296000000000
-
The
square root of 42429544416000 is 6513796.4671917713 -
The
cube root of 42429544416000 is 34878.3653720811
Scales and comparisons
How big is 42429544416000?- 42,429,544,416,000 seconds is equal to 1,349,128 years, 14 weeks.
-
To count from 1 to 42,429,544,416,000 would take you about three million, three hundred seventy-two thousand, eight hundred twenty 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 42429544416000 cubic inches would be around 2906.5 feet tall.
Recreational maths with 42429544416000
- 42429544416000 backwards is 00061444592424
- 42429544416000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42429544416000's digits is 45
- More coming soon!
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