242120188996672000
242,120,188,996,672,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 242120188996672000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2400 divisors.
242120188996672000 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 242120188996672000:
29 × 53 × 7 × 294 × 31 × 1572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 29 × 29 × 29 × 29 × 31 × 157 × 157)See below for interesting mathematical facts about the number 242120188996672000 from the Numbermatics database.
Names of 242120188996672000
- Cardinal: 242120188996672000 can be written as Two hundred forty-two quadrillion, one hundred twenty trillion, one hundred eighty-eight billion, nine hundred ninety-six million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 2.42120188996672 × 1017
Factors of 242120188996672000
Divisors of 242120188996672000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 31 32 35 40 50 56 58 62 64 70 80 100 112 116 124 125 128 140 145 155 157 160 175 200 203 217 224 232 248 250 256 280 290 310 314 320 350 400 406 434 448 464 496 500 512 560 580 620 628 640 700 725 775 785 800 812 841 868 875 896 899 928 992 1000 1015 1085 1099 1120 1160 1240 1256 1280 1400 1450 1550 1570 1600 1624 1682 1736 1750 1792 1798 1856 1984 2000 2030 2170 2198 2240 2320 2480 2512 2560 2800 2900 3100 3140 3200 3248 3364 3472 3500 3584 3596 3625 3712 3875 3925 3968 4000 4060 4205 4340 4396 4480 4495 4553 4640 4867 4960 5024 5075 5425 5495 5600 5800 5887 6200 6280 6293 6400 6496 6728 6944 7000 7192 7250 7424 7750 7850 7936 8000 8120 8410 8680 8792 8960 8990 9106 9280 9734 9920 10048 10150 10850 10990 11200 11600 11774 12400 12560 12586 12800 12992 13456 13888 14000 14384 14500 14848 15500 15700 15872 16000 16240 16820 17360 17584 17920 17980 18212 18560 19468 19625 19840 20096 20300 21025 21700 21980 22400 22475 22765 23200 23548 24335 24389 24649 24800 25120 25172 25375 25984 26071 26912 27125 27475 27776 28000 28768 29000 29435 31000 31400 31465 31871 32000 32480 33640 34069 34720 35168 35960 36424 37120 38936 39250 39680 40192 40600 42050 43400 43960 44800 44950 45530 46400 47096 48670 48778 49298 49600 50240 50344 50750 51968 52142 53824 54250 54950 55552 56000 57536 58000 58870 62000 62800 62930 63742 64000 64960 67280 68138 69440 70336 71920 72848 74240 77872 78500 79360 80384 81200 84100 86800 87920 89600 89900 91060 92800 94192 97340 97556 98596 99200 100480 100688 101500 103936 104284 105125 107648 108500 109900 111104 112000 112375 113825 115072 116000 117740 121675 121945 123245 124000 125600 125860 127484 129920 130355 132037 134560 136276 137375 138880 140672 141143 143840 145696 147175 155744 157000 157325 159355 162400 168200 170345 170723 172543 173600 175840 179800 182120 182497 185600 188384 194680 195112 197192 198400 200960 201376 203000 208568 210250 215296 217000 219800 224000 224750 227650 230144 232000 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2570496316000 2609053760740 2658908291200 2693216785280 2702234252195 2753869301600 2789403099040 2878955873920 2981775726560 3012044548625 3050909639575 3084333617792 3109207276000 3261317200925 3323635364000 3366520981600 3442336627000 3486753873800 3553379744000 3598694842400 3727219658200 3783127953073 3798440416000 3847452550400 3855417022240 3905164338656 4112794105600 4174486017184 4208151227000 4323574803512 4358442342250 4406190882560 4463044958464 4498368553000 4643477216000 4659024572750 4770841162496 4809315688000 4819271277800 4881455423320 4911359264000 4963717024000 4974731641600 5140992632000 5218107521480 5317816582400 5386433570560 5404468504390 5507738603200 5578806198080 5757911747840 5963551453120 6024089097250 6101819279150 6168667235584 6218414552000 6522634401850 6647270728000 6733041963200 6884673254000 6973507747600 7106759488000 7197389684800 7454439316400 7566255906146 7596880832000 7694905100800 7710834044480 7810328677312 8225588211200 8348972034368 8416302454000 8647149607024 8716884684500 8812381765120 8926089916928 8996737106000 9286954432000 9318049145500 9541682324992 9618631376000 9638542555600 9762910846640 9822718528000 9927434048000 9949463283200 10281985264000 10436215042960 10635633164800 10772867141120 10808937008780 11015477206400 11157612396160 11515823495680 11927102906240 12048178194500 12203638558300 12337334471168 12436829104000 13045268803700 13294541456000 13466083926400 13511171260975 13769346508000 13947015495200 14394779369600 14908878632800 15132511812292 15254548197875 15421668088960 15620657354624 16306586004625 16697944068736 16832604908000 17294299214048 17433769369000 17993474212000 18636098291000 18915639765365 19237262752000 19277085111200 19525821693280 20563970528000 20872430085920 21617874017560 22030954412800 22315224792320 23854205812480 24096356389000 24407277116600 24873658208000 26090537607400 26589082912000 26932167852800 27022342521950 27538693016000 27894030990400 28789558739200 29817757265600 30265023624584 30509096395750 30843336177920 31241314709248 32613172009250 33395888137472 33665209816000 34588598428096 34867538738000 35986948424000 37272196582000 37831279530730 38474525504000 38554170222400 39051643386560 41127941056000 41744860171840 43235748035120 44061908825600 44630449584640 47708411624960 48192712778000 48814554233200 49747316416000 52181075214800 53178165824000 53864335705600 54044685043900 55077386032000 55788061980800 57579117478400 59635514531200 60530047249168 61018192791500 61686672355840 62482629418496 65226344018500 66791776274944 67330419632000 67555856304875 69177196856192 69735077476000 71973896848000 74544393164000 75662559061460 77108340444800 78103286773120 83489720343680 86471496070240 94578198826825 96385425556000 97629108466400 104362150429600 108089370087800 110154772064000 111576123961600 119271029062400 121060094498336 122036385583000 130452688037000 134660839264000 135111712609750 138354393712384 139470154952000 143947793696000 149088786328000 151325118122920 154216680889600 156206573546240 166979440687360 172942992140480 189156397653650 192770851112000 195258216932800 208724300859200 216178740175600 220309544128000 223152247923200 238542058124800 242120188996672 244072771166000 260905376074000 269321678528000 270223425219500 276708787424768 278940309904000 287895587392000 298177572656000 302650236245840 308433361779200 312413147092480 333958881374720 345885984280960 378312795307300 385541702224000 390516433865600 417448601718400 432357480351200 472890994134125 484240377993344 488145542332000 521810752148000 540446850439000 557880619808000 596355145312000 605300472491680 691771968561920 756625590614600 771083404448000 781032867731200 834897203436800 864714960702400 945781988268250 968480755986688 976291084664000 1043621504296000 1080893700878000 1115761239616000 1192710290624000 1210600944983360 1383543937123840 1513251181229200 1542166808896000 1562065735462400 1669794406873600 1729429921404800 1891563976536500 1936961511973376 1952582169328000 2087243008592000 2161787401756000 2421201889966720 3026502362458400 3458859842809600 3783127953073000 3905164338656000 4174486017184000 4323574803512000 4842403779933440 6053004724916800 6917719685619200 7566255906146000 7810328677312000 8348972034368000 8647149607024000 9684807559866880 12106009449833600 15132511812292000 17294299214048000 24212018899667200 30265023624584000 34588598428096000 48424037799334400 60530047249168000 121060094498336000 242120188996672000
- Sum of all divisors σ(n): 742414389849639936
- Sum of proper divisors (its aliquot sum) s(n): 500294200852967936
- 242120188996672000 is an abundant number, because the sum of its proper divisors (500294200852967936) is greater than itself. Its abundance is 258174011856295936
Bases of 242120188996672000
- Binary: 11010111000010111100000111011100100001100011011010000000002
- Hexadecimal: 0x35C2F077218DA00
- Base-36: 1U80FZAQLAF4
Squares and roots of 242120188996672000
- 242120188996672000 squared (2421201889966720002) is 58622185919784169022027075584000000
- 242120188996672000 cubed (2421201889966720003) is 14193614734296187208080098989010059268456448000000000
-
The
square root of 242120188996672000 is 492057099.3255477867 -
The
cube root of 242120188996672000 is 623271.1165595415
Scales and comparisons
How big is 242120188996672000?- 242,120,188,996,672,000 seconds is equal to 7,698,673,083 years, 9 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 242,120,188,996,672,000 would take you about twenty-three billion, ninety-six million, nineteen thousand, two hundred forty-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 242120188996672000 cubic inches would be around 51939.3 feet tall.
Recreational maths with 242120188996672000
- 242120188996672000 backwards is 000276699881021242
- The number of decimal digits it has is: 18
- The sum of 242120188996672000's digits is 67
- More coming soon!
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"Number 242120188996672000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 242120188996672000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/242120188996672000/
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The information we have on file for 242120188996672000 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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