642120042805892000
642,120,042,805,892,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 642120042805892000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3024 divisors.
642120042805892000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 642120042805892000:
25 × 53 × 76 × 175 × 312
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 17 × 17 × 17 × 17 × 17 × 31 × 31)See below for interesting mathematical facts about the number 642120042805892000 from the Numbermatics database.
Names of 642120042805892000
- Cardinal: 642120042805892000 can be written as Six hundred forty-two quadrillion, one hundred twenty trillion, forty-two billion, eight hundred five million, eight hundred ninety-two thousand.
Scientific notation
- Scientific notation: 6.42120042805892 × 1017
Factors of 642120042805892000
Divisors of 642120042805892000
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 31 32 34 35 40 49 50 56 62 68 70 80 85 98 100 112 119 124 125 136 140 155 160 170 175 196 200 217 224 238 245 248 250 272 280 289 310 340 343 350 392 400 425 434 476 490 496 500 527 544 560 578 595 620 680 686 700 775 784 800 833 850 868 875 952 961 980 992 1000 1054 1085 1120 1156 1190 1225 1240 1360 1372 1400 1445 1519 1550 1568 1666 1700 1715 1736 1750 1904 1922 1960 2000 2023 2108 2125 2170 2312 2380 2401 2450 2480 2635 2720 2744 2800 2890 2975 3038 3100 3332 3400 3430 3472 3500 3689 3808 3844 3875 3920 4000 4046 4165 4216 4250 4340 4624 4760 4802 4805 4900 4913 4960 5270 5425 5488 5600 5780 5831 5950 6076 6125 6200 6664 6727 6800 6860 6944 7000 7225 7378 7595 7688 7750 7840 8092 8330 8432 8500 8575 8680 8959 9248 9520 9604 9610 9800 9826 10115 10540 10633 10850 10976 11560 11662 11900 12005 12152 12250 12400 13175 13328 13454 13600 13720 14000 14161 14450 14756 14875 15190 15376 15500 16184 16337 16660 16807 16864 17000 17150 17360 17918 18445 19040 19208 19220 19600 19652 20230 20825 21080 21266 21700 23120 23324 23800 24010 24025 24304 24500 24565 24800 25823 26350 26656 26908 27125 27440 28000 28322 28900 29155 29512 29750 30380 30752 31000 32368 32674 33320 33614 33635 34000 34300 34391 34720 35836 36125 36890 37975 38416 38440 39200 39304 40460 40817 41650 42160 42532 42875 43400 44795 46240 46648 47089 47600 48020 48050 48608 49000 49130 50575 51646 52700 53165 53816 54250 54880 56644 57800 58310 59024 59500 60025 60760 62000 62713 64736 65348 65875 66640 67228 67270 68000 68600 68782 70805 71672 72250 73780 74431 75950 76832 76880 78608 80920 81634 81685 83300 83521 84035 84320 85064 85750 86800 89590 92225 93296 94178 95200 96040 96100 98000 98260 99127 101150 103292 104125 105400 106330 107632 108500 113288 114359 115600 116620 117649 118048 119000 120050 120125 121520 122825 124000 125426 129115 130696 131750 133280 134456 134540 137200 137564 141610 143344 144500 145775 147560 148862 151900 152303 153760 157216 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472147090298450 517838744198300 524179626780320 539596674626800 555467165057000 573321466790975 591815707655200 609222051998000 642120042805892 647298430247875 655224533475400 668179024772000 674495843283500 733851477492448 739769634569000 755435344477520 770852392324000 802650053507365 819030666844250 828541990717280 917314346865560 936035047822000 944294180596900 1035677488396600 1079193349253600 1110934330114000 1146642933581950 1180367725746125 1218444103996000 1284240085611784 1294596860495750 1310449066950800 1348991686567000 1479539269138000 1510870688955040 1605300107014730 1638061333688500 1834628693731120 1872070095644000 1888588361193800 2071354976793200 2221868660228000 2293285867163900 2360735451492250 2568480171223568 2589193720991500 2620898133901600 2697983373134000 2866607333954875 2959078538276000 3210600214029460 3276122667377000 3669257387462240 3777176722387600 4013250267536825 4142709953586400 4586571734327800 4721470902984500 5136960342447136 5178387441983000 5395966746268000 5733214667909750 6421200428058920 6552245334754000 7554353444775200 8026500535073650 9173143468655600 9442941805969000 10356774883966000 11466429335819500 12842400856117840 13104490669508000 16053001070147300 18346286937311200 18885883611938000 20066251337684125 20713549767932000 22932858671639000 25684801712235680 32106002140294600 37771767223876000 40132502675368250 45865717343278000 64212004280589200 80265005350736500 91731434686556000 128424008561178400 160530010701473000 321060021402946000 642120042805892000
- Sum of all divisors σ(n): 2020795780049353944
- Sum of proper divisors (its aliquot sum) s(n): 1378675737243461944
- 642120042805892000 is an abundant number, because the sum of its proper divisors (1378675737243461944) is greater than itself. Its abundance is 736555694437569944
Bases of 642120042805892000
- Binary: 1000111010010100010011000110110111101001101010010011101000002
- Hexadecimal: 0x8E944C6DE9A93A0
- Base-36: 4VMKK3C6FCM8
Squares and roots of 642120042805892000
- 642120042805892000 squared (6421200428058920002) is 412318149373040574424389915664000000
- 642120042805892000 cubed (6421200428058920003) is 264757747725062985351631793074564575802292288000000000
-
The
square root of 642120042805892000 is 801323931.2574484693 -
The
cube root of 642120042805892000 is 862724.3884398623
Scales and comparisons
How big is 642120042805892000?- 642,120,042,805,892,000 seconds is equal to 20,417,431,153 years, 27 weeks, 2 days, 13 minutes, 20 seconds.
-
To count from 1 to 642,120,042,805,892,000 would take you about sixty-one billion, two hundred fifty-two million, two hundred ninety-three thousand, four hundred sixty 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 642120042805892000 cubic inches would be around 71893.7 feet tall.
Recreational maths with 642120042805892000
- 642120042805892000 backwards is 000298508240021246
- The number of decimal digits it has is: 18
- The sum of 642120042805892000's digits is 53
- More coming soon!
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Cite this page
MLA style:
"Number 642120042805892000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 642120042805892000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/642120042805892000/
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The information we have on file for 642120042805892000 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!
Keywords: Divisors of 642120042805892000, math, Factors of 642120042805892000, curriculum, school, college, exams, university, Prime factorization of 642120042805892000, STEM, science, technology, engineering, physics, economics, calculator, six hundred forty-two quadrillion, one hundred twenty trillion, forty-two billion, eight hundred five million, eight hundred ninety-two thousand.