13402340173789872000
13,402,340,173,789,872,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13402340173789872000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2688 divisors.
13402340173789872000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 13402340173789872000:
27 × 3 × 53 × 296 × 41 × 1072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 29 × 29 × 29 × 29 × 29 × 29 × 41 × 107 × 107)See below for interesting mathematical facts about the number 13402340173789872000 from the Numbermatics database.
Names of 13402340173789872000
- Cardinal: 13402340173789872000 can be written as Thirteen quintillion, four hundred two quadrillion, three hundred forty trillion, one hundred seventy-three billion, seven hundred eighty-nine million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.3402340173789872 × 1019
Factors of 13402340173789872000
Divisors of 13402340173789872000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 41 48 50 58 60 64 75 80 82 87 96 100 107 116 120 123 125 128 145 150 160 164 174 192 200 205 214 232 240 246 250 290 300 320 321 328 348 375 384 400 410 428 435 464 480 492 500 535 580 600 615 640 642 656 696 725 750 800 820 841 856 870 928 960 984 1000 1025 1070 1160 1189 1200 1230 1284 1312 1392 1450 1500 1600 1605 1640 1682 1712 1740 1856 1920 1968 2000 2050 2140 2175 2320 2378 2400 2460 2523 2568 2624 2675 2784 2900 3000 3075 3103 3200 3210 3280 3364 3424 3480 3567 3625 3712 3936 4000 4100 4205 4280 4350 4387 4640 4756 4800 4920 5046 5125 5136 5248 5350 5568 5800 5945 6000 6150 6206 6420 6560 6728 6848 6960 7134 7250 7872 8000 8025 8200 8410 8560 8700 8774 9280 9309 9512 9600 9840 10092 10250 10272 10700 10875 11136 11449 11600 11890 12000 12300 12412 12615 12840 13120 13161 13375 13456 13696 13920 14268 14500 15375 15515 15744 16000 16050 16400 16820 17120 17400 17548 17835 18560 18618 19024 19680 20184 20500 20544 21025 21400 21750 21935 22898 23200 23780 24000 24389 24600 24824 25230 25680 26240 26322 26750 26912 27840 28536 29000 29725 30750 31030 32100 32800 33640 34240 34347 34481 34800 35096 35670 37236 38048 39360 40125 40368 41000 41088 42050 42800 43500 43870 45796 46400 46545 47560 48000 48778 49200 49648 50460 51360 52644 53500 53824 55680 57072 57245 58000 59450 61500 62060 63075 64200 65600 65805 67280 68480 68694 68962 69600 70192 71340 73167 74472 76096 77575 78720 80250 80736 82000 84100 85600 87000 87740 89175 89987 91592 92800 93090 95120 97556 98400 99296 100920 102720 103443 105125 105288 107000 107648 109675 114144 114490 116000 118900 121945 123000 124120 126150 127223 128400 131200 131610 134560 137388 137924 139200 140384 142680 146334 148625 148944 152192 155150 160500 161472 164000 168200 171200 171735 172405 174000 175480 178350 179974 183184 186180 190240 195112 196800 198592 201840 205440 206886 210250 210576 214000 219350 228288 228980 232000 232725 237800 243890 246000 248240 252300 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78040819715200 78284697276810 79680976062960 81721586425548 83001016732250 83503677095264 86383114236480 88062054337875 89982410663000 90175543641984 91587328808000 93932857960400 95469143020500 96281179409410 97171922028000 97551024644000 99601220078700 101833752555200 102151983031935 104379596369080 105345261264000 106241301417280 107978892795600 108962115234064 109904794569600 112719429552480 115537415291292 117061229572800 117416072450500 122200503066240 124501525098375 125255515642896 127292190694000 127489561700736 129562562704000 130474495461350 132801626771600 134973615994500 136202644042580 137380993212000 140899286940600 143971857060800 144421769114115 146326536966000 148936403856000 150292572736640 152750628832800 154049887055056 156569394553620 159361952125920 163443172851096 166002033464500 167007354190528 170253305053225 172766228472960 176124108675750 179964821326000 183174657616000 187865715920800 190938286041000 192562358818820 194343844056000 195102049288000 195711743192025 199202440157400 203667505110400 204303966063870 208759192738160 212482602834560 215957785591200 217924230468128 225438859104960 231074830582584 234122459145600 234832144901000 240702948523525 249003050196750 250511031285792 254584381388000 260948990922700 265603253543200 269947231989000 272405288085160 274761986424000 279215420287289 281798573881200 287943714121600 288843538228230 292653073932000 305501257665600 308099774110112 313138789107240 318723904251840 326186238653375 326886345702192 332004066929000 334014708381056 340506610106450 352248217351500 359929642652000 375731431841600 381876572082000 385124717637640 388687688112000 390204098576000 391423486384050 398404880314800 408607932127740 417518385476320 431915571182400 435848460936256 450877718209920 462149661165168 469664289802000 481405897047050 498006100393500 501022062571584 509168762776000 510759915159675 521897981845400 531206507086400 539894463978000 544810576170320 549523972848000 558430840574578 563597147762400 577687076456460 585306147864000 611002515331200 616199548220224 626277578214480 637447808503680 652372477306750 653772691404384 664008133858000 681013220212900 704496434703000 719859285304000 722108845570575 751462863683200 763753144164000 770249435275280 782846972768100 796809760629600 817215864255480 835036770952640 837646260861867 851266525266125 863831142364800 871696921872512 924299322330336 939328579604000 962811794094100 978558715960125 996012200787000 1002044125143168 1018337525552000 1021519830319350 1043795963690800 1062413014172800 1079788927956000 1089621152340640 1116861681149156 1127194295524800 1155374152912920 1170612295728000 1203514742617625 1232399096440448 1252555156428960 1304744954613500 1307545382808768 1328016267716000 1362026440425800 1396077101436445 1408992869406000 1439718570608000 1444217691141150 1527506288328000 1540498870550560 1565693945536200 1593619521259200 1634431728510960 1670073541905280 1675292521723734 1702533050532250 1848598644660672 1878657159208000 1925623588188200 1957117431920250 1992024401574000 2043039660638700 2087591927381600 2159577855912000 2179242304681280 2233723362298312 2254388591049600 2310748305825840 2407029485235250 2505110312857920 2553799575798375 2609489909227000 2615090765617536 2656032535432000 2724052880851600 2792154202872890 2817985738812000 2888435382282300 3055012576656000 3080997741101120 3131387891072400 3187239042518400 3268863457021920 3350585043447468 3405066101064500 3610544227852875 3697197289321344 3757314318416000 3851247176376400 3914234863840500 3984048803148000 4086079321277400 4175183854763200 4188231304309335 4319155711824000 4358484609362560 4467446724596624 4621496611651680 4814058970470500 5010220625715840 5107599151596750 5218979818454000 5312065070864000 5448105761703200 5584308405745780 5635971477624000 5776870764564600 6161995482202240 6262775782144800 6537726914043840 6701170086894936 6810132202129000 6980385507182225 7221088455705750 7702494352752800 7828469727681000 7968097606296000 8172158642554800 8350367709526400 8376462608618670 8934893449193248 9242993223303360 9628117940941000 10215198303193500 10437959636908000 10896211523406400 11168616811491560 11271942955248000 11553741529129200 12525551564289600 13075453828087680 13402340173789872 13620264404258000 13960771014364450 14442176911411500 15404988705505600 15656939455362000 15936195212592000 16344317285109600 16752925217237340 17869786898386496 18485986446606720 19256235881882000 20430396606387000 20875919273816000 20941156521546675 21792423046812800 22337233622983120 23107483058258400 25051103128579200 26804680347579744 27240528808516000 27921542028728900 28884353822823000 30809977411011200 31313878910724000 32688634570219200 33505850434474680 34901927535911125 35739573796772992 38512471763764000 40860793212774000 41751838547632000 41882313043093350 44674467245966240 46214966116516800 53609360695159488 54481057617032000 55843084057457800 57768707645646000 62627757821448000 65377269140438400 67011700868949360 69803855071822250 77024943527528000 81721586425548000 83764626086186700 89348934491932480 92429932233033600 104705782607733375 107218721390318976 108962115234064000 111686168114915600 115537415291292000 125255515642896000 134023401737898720 139607710143644500 154049887055056000 163443172851096000 167529252172373400 178697868983864960 209411565215466750 223372336229831200 231074830582584000 268046803475797440 279215420287289000 326886345702192000 335058504344746800 418823130430933500 446744672459662400 462149661165168000 536093606951594880 558430840574578000 670117008689493600 837646260861867000 893489344919324800 1116861681149156000 1340234017378987200 1675292521723734000 2233723362298312000 2680468034757974400 3350585043447468000 4467446724596624000 6701170086894936000 13402340173789872000
- Sum of all divisors σ(n): 47582485914924586080
- Sum of proper divisors (its aliquot sum) s(n): 34180145741134714080
- 13402340173789872000 is an abundant number, because the sum of its proper divisors (34180145741134714080) is greater than itself. Its abundance is 20777805567344842080
Bases of 13402340173789872000
- Binary: 10111001111111101010110101100001001000011011000100111111100000002
- Hexadecimal: 0xB9FEAD6121B13F80
- Base-36: 2TTOT3261P56O
Squares and roots of 13402340173789872000
- 13402340173789872000 squared (134023401737898720002) is 179622722133981936403879609776384000000
- 13402340173789872000 cubed (134023401737898720003) is 2407364824981761353499459427232800025007723982848000000000
-
The
square root of 13402340173789872000 is 3660920672.9714687987 -
The
cube root of 13402340173789872000 is 2375345.9986425053
Scales and comparisons
How big is 13402340173789872000?- 13,402,340,173,789,872,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,402,340,173,789,872,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13402340173789872000 cubic inches would be around 197945.5 feet tall.
Recreational maths with 13402340173789872000
- 13402340173789872000 backwards is 00027898737104320431
- The number of decimal digits it has is: 20
- The sum of 13402340173789872000's digits is 69
- More coming soon!
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"Number 13402340173789872000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 13402340173789872000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13402340173789872000/
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Numbermatics. 2024. "Number 13402340173789872000 - Facts about the integer". https://numbermatics.com/n/13402340173789872000/
The information we have on file for 13402340173789872000 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 13402340173789872000, math, Factors of 13402340173789872000, curriculum, school, college, exams, university, Prime factorization of 13402340173789872000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, four hundred two quadrillion, three hundred forty trillion, one hundred seventy-three billion, seven hundred eighty-nine million, eight hundred seventy-two thousand.