42080405760000
42,080,405,760,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42080405760000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
42080405760000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 42080405760000:
211 × 32 × 54 × 413 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 41 × 41 × 41 × 53)See below for interesting mathematical facts about the number 42080405760000 from the Numbermatics database.
Names of 42080405760000
- Cardinal: 42080405760000 can be written as Forty-two trillion, eighty billion, four hundred five million, seven hundred sixty thousand.
Scientific notation
- Scientific notation: 4.208040576 × 1013
Factors of 42080405760000
Divisors of 42080405760000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 45 48 50 53 60 64 72 75 80 82 90 96 100 106 120 123 125 128 144 150 159 160 164 180 192 200 205 212 225 240 246 250 256 265 288 300 318 320 328 360 369 375 384 400 410 424 450 477 480 492 500 512 530 576 600 615 625 636 640 656 720 738 750 768 795 800 820 848 900 954 960 984 1000 1024 1025 1060 1125 1152 1200 1230 1250 1272 1280 1312 1325 1440 1476 1500 1536 1590 1600 1640 1681 1696 1800 1845 1875 1908 1920 1968 2000 2048 2050 2120 2173 2250 2304 2385 2400 2460 2500 2544 2560 2624 2650 2880 2952 3000 3072 3075 3180 3200 3280 3362 3392 3600 3690 3750 3816 3840 3936 3975 4000 4100 4240 4346 4500 4608 4770 4800 4920 5000 5043 5088 5120 5125 5248 5300 5625 5760 5904 6000 6144 6150 6360 6400 6519 6560 6625 6724 6784 7200 7380 7500 7632 7680 7872 7950 8000 8200 8405 8480 8692 9000 9216 9225 9540 9600 9840 10000 10086 10176 10240 10250 10496 10600 10865 11250 11520 11808 11925 12000 12300 12720 12800 13038 13120 13250 13448 13568 14400 14760 15000 15129 15264 15360 15375 15744 15900 16000 16400 16810 16960 17384 18000 18432 18450 19080 19200 19557 19680 19875 20000 20172 20352 20500 20992 21200 21730 22500 23040 23616 23850 24000 24600 25215 25440 25600 25625 26076 26240 26500 26896 27136 28800 29520 30000 30258 30528 30720 30750 31488 31800 32000 32595 32800 33125 33620 33920 34768 36000 36900 38160 38400 39114 39360 39750 40000 40344 40704 41000 41984 42025 42400 43460 45000 46080 46125 47232 47700 48000 49200 50430 50880 51200 51250 52152 52480 53000 53792 54272 54325 57600 59040 59625 60000 60516 61056 61500 62976 63600 64000 65190 65600 66250 67240 67840 68921 69536 72000 73800 75645 76320 76800 76875 78228 78720 79500 80000 80688 81408 82000 83968 84050 84800 86920 89093 90000 92160 92250 94464 95400 96000 97785 98400 99375 100860 101760 102500 104304 104960 106000 107584 108544 108650 115200 118080 119250 120000 121032 122112 123000 125952 126075 127200 128000 130380 131200 132500 134480 135680 137842 139072 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68423424000 70134009600 73056260000 79396992000 82188292500 84160811520 85529280000 87667512000 88218880000 93512012800 99246240000 102635136000 105201014400 109584390000 112214415360 114039040000 116890016000 128293920000 131501268000 132328320000 140268019200 146112520000 158793984000 164376585000 168321623040 171058560000 175335024000 187024025600 198492480000 205270272000 210402028800 219168780000 233780032000 256587840000 263002536000 264656640000 280536038400 292225040000 328753170000 336643246080 342117120000 350670048000 396984960000 420804057600 438337560000 467560064000 513175680000 526005072000 561072076800 584450080000 657506340000 701340096000 793969920000 841608115200 876675120000 935120128000 1026351360000 1052010144000 1168900160000 1315012680000 1402680192000 1683216230400 1753350240000 2104020288000 2337800320000 2630025360000 2805360384000 3506700480000 4208040576000 4675600640000 5260050720000 7013400960000 8416081152000 10520101440000 14026801920000 21040202880000 42080405760000
- Sum of all divisors σ(n): 158605167881160
- Sum of proper divisors (its aliquot sum) s(n): 116524762121160
- 42080405760000 is an abundant number, because the sum of its proper divisors (116524762121160) is greater than itself. Its abundance is 74444356361160
Bases of 42080405760000
- Binary: 10011001000101100110111010001100101000000000002
- Hexadecimal: 0x26459BA32800
- Base-36: EWZGZ3SW0
Squares and roots of 42080405760000
- 42080405760000 squared (420804057600002) is 1770760548926241177600000000
- 42080405760000 cubed (420804057600003) is 74514322402616561065028222976000000000000
-
The
square root of 42080405760000 is 6486941.1713071671 -
The
cube root of 42080405760000 is 34782.4342582267
Scales and comparisons
How big is 42080405760000?- 42,080,405,760,000 seconds is equal to 1,338,026 years, 38 weeks, 3 days, 8 hours.
-
To count from 1 to 42,080,405,760,000 would take you about three million, three hundred forty-five thousand and sixty-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 42080405760000 cubic inches would be around 2898.5 feet tall.
Recreational maths with 42080405760000
- 42080405760000 backwards is 00006750408024
- 42080405760000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42080405760000's digits is 36
- More coming soon!
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The information we have on file for 42080405760000 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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