13684371403872000
13,684,371,403,872,000 is an even composite number composed of nine prime numbers multiplied together.
What does the number 13684371403872000 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 4608 divisors.
13684371403872000 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of four thousand, six hundred eight divisors.
Prime factorization of 13684371403872000:
28 × 3 × 53 × 13 × 19 × 41 × 127 × 137 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 19 × 41 × 127 × 137 × 809)See below for interesting mathematical facts about the number 13684371403872000 from the Numbermatics database.
Names of 13684371403872000
- Cardinal: 13684371403872000 can be written as Thirteen quadrillion, six hundred eighty-four trillion, three hundred seventy-one billion, four hundred three million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.3684371403872 × 1016
Factors of 13684371403872000
Divisors of 13684371403872000
- Number of divisors d(n): 4608
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 32 38 39 40 41 48 50 52 57 60 64 65 75 76 78 80 82 95 96 100 104 114 120 123 125 127 128 130 137 150 152 156 160 164 190 192 195 200 205 208 228 240 246 247 250 254 256 260 274 285 300 304 312 320 325 328 375 380 381 384 390 400 410 411 416 456 475 480 492 494 500 508 520 533 548 570 600 608 615 624 635 640 650 656 685 741 750 760 762 768 779 780 800 809 820 822 832 912 950 960 975 984 988 1000 1016 1025 1040 1066 1096 1140 1200 1216 1230 1235 1248 1270 1280 1300 1312 1370 1425 1482 1500 1520 1524 1558 1560 1599 1600 1618 1625 1640 1644 1651 1664 1781 1824 1900 1905 1920 1950 1968 1976 2000 2032 2050 2055 2080 2132 2192 2280 2337 2375 2400 2413 2427 2432 2460 2470 2496 2540 2600 2603 2624 2665 2740 2850 2964 3000 3040 3048 3075 3116 3120 3175 3198 3200 3236 3250 3280 3288 3302 3328 3425 3562 3648 3705 3800 3810 3840 3895 3900 3936 3952 4000 4045 4064 4100 4110 4160 4264 4384 4560 4674 4750 4800 4826 4854 4864 4875 4920 4940 4953 4992 5080 5125 5200 5206 5207 5248 5330 5343 5480 5617 5700 5928 6000 6080 6096 6150 6175 6232 6240 6350 6396 6400 6472 6500 6560 6576 6604 6850 7124 7125 7239 7296 7410 7600 7620 7790 7800 7809 7872 7904 7995 8000 8090 8128 8200 8220 8255 8320 8528 8768 8905 9120 9348 9500 9525 9600 9652 9708 9750 9840 9880 9906 9984 10127 10160 10250 10275 10400 10412 10414 10496 10517 10660 10686 10960 11234 11400 11685 11856 12000 12065 12135 12160 12192 12300 12350 12464 12480 12700 12792 12944 13000 13015 13120 13152 13208 13325 13700 14248 14250 14478 14592 14820 15200 15240 15371 15375 15580 15600 15618 15621 15744 15808 15875 15990 16000 16180 16256 16400 16440 16510 16640 16851 17056 17125 17399 17536 17810 18240 18525 18696 19000 19050 19200 19304 19416 19475 19500 19680 19760 19812 20225 20254 20320 20500 20550 20800 20824 20828 21034 21320 21372 21920 22468 22800 23370 23712 24000 24130 24270 24320 24384 24600 24700 24765 24928 24960 25400 25584 25888 26000 26030 26035 26240 26304 26416 26650 26715 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799087381248 802320087000 812080672000 822378089175 828853507200 832382688800 834412890480 841804343250 845758430400 855273212742 855808092800 862007647488 865661146500 869180094250 876024032000 876192304000 877203295120 878329358400 890040416512 890272032000 897924632800 900287592360 923371889600 937799575375 945183824000 960306765184 960441564000 998859226560 1026969711360 1036066884000 1040478361000 1043016113100 1051430764800 1052643954144 1057198038000 1069760116000 1077509559360 1096504118900 1097911698000 1108046267520 1112550520640 1122405791000 1125359490450 1127677907200 1134220588800 1140364283656 1154214862000 1171105811200 1200383456480 1218121008000 1248574033200 1280588752000 1283712139200 1301166816000 1303770141375 1314036048000 1314288456000 1315804942680 1331812302080 1335060624768 1346886949200 1351275936000 1370630148625 1381422512000 1385057834400 1390688150800 1403525272192 1409597384000 1417775736000 1425455354570 1436679412480 1440460147776 1463882264000 1500479320600 1536706502400 1560717541500 1604640174000 1644756178350 1657707014400 1664765377600 1668825780960 1683608686500 1691516860800 1710546425484 1711616185600 1731322293000 1738360188500 1752384608000 1754406590240 1756658716800 1795849265600 1800575184720 1846743779200 1875599150750 1890367648000 1920613530368 1920883128000 1997718453120 2072133768000 2080956722000 2086032226200 2105287908288 2114396076000 2138183031855 2139520232000 2155019118720 2193008237800 2195823396000 2216092535040 2225101041280 2244811582000 2250718980900 2280728567312 2308429724000 2400766912960 2436242016000 2497148066400 2561177504000 2567424278400 2607540282750 2628072096000 2628576912000 2631609885360 2670121249536 2693773898400 2741260297250 2762845024000 2770115668800 2781376301600 2807050544384 2813398726125 2819194768000 2835551472000 2850910709140 2880920295552 2927764528000 3000958641200 3121435083000 3209280348000 3289512356700 3329530755200 3337651561920 3367217373000 3383033721600 3421092850968 3462644586000 3476720377000 3508813180480 3513317433600 3563638386425 3591698531200 3601150369440 3693487558400 3751198301500 3841766256000 3995436906240 4111890445875 4144267536000 4161913444000 4172064452400 4210575816576 4228792152000 4276366063710 4279040464000 4310038237440 4386016475600 4391646792000 4450202082560 4489623164000 4501437961800 4561457134624 4616859448000 4801533825920 4994296132800 5134848556800 5215080565500 5257153824000 5263219770720 5387547796800 5482520594500 5540231337600 5562752603200 5626797452250 5638389536000 5671102944000 5701821418280 5761840591104 5855529056000 6001917282400 6242870166000 6418560696000 6579024713400 6659061510400 6675303123840 6734434746000 6842185701936 6925289172000 6953440754000 7017626360960 7127276772850 7183397062400 7202300738880 7502396603000 7683532512000 8223780891750 8288535072000 8323826888000 8344128904800 8421151633152 8457584304000 8552732127420 8558080928000 8772032951200 8783293584000 8979246328000 9002875923600 9122914269248 9233718896000 9603067651840 9988592265600 10430161131000 10526439541440 10690915159275 10775095593600 10965041189000 11080462675200 11125505206400 11253594904500 11403642836560 12003834564800 12485740332000 12837121392000 13158049426800 13350606247680 13468869492000 13684371403872 13850578344000 13906881508000 14035252721920 14254553545700 14404601477760 15004793206000 16447561783500 16647653776000 16688257809600 16915168608000 17105464254840 17544065902400 17566587168000 17818191932125 17958492656000 18005751847200 18245828538496 18467437792000 19977184531200 20860322262000 21052879082880 21381830318550 21550191187200 21930082378000 22251010412800 22507189809000 22807285673120 24007669129600 24971480664000 25674242784000 26316098853600 26937738984000 27368742807744 27701156688000 27813763016000 28509107091400 28809202955520 30009586412000 32895123567000 33295307552000 33376515619200 34210928509680 35088131804800 35636383864250 35916985312000 36011503694400 36491657076992 41720644524000 42105758165760 42763660637100 43860164756000 45014379618000 45614571346240 48015338259200 49942961328000 52632197707200 53454575796375 53875477968000 54737485615488 55402313376000 55627526032000 57018214182800 60019172824000 65790247134000 66753031238400 68421857019360 70176263609600 71272767728500 72023007388800 83441289048000 85527321274200 87720329512000 90028759236000 91229142692480 99885922656000 105264395414400 106909151592750 107750955936000 109474971230976 111255052064000 114036428365600 120038345648000 131580494268000 136843714038720 142545535457000 144046014777600 166882578096000 171054642548400 175440659024000 180057518472000 182458285384960 210528790828800 213818303185500 228072856731200 240076691296000 263160988536000 273687428077440 285091070914000 333765156192000 342109285096800 350881318048000 360115036944000 427636606371000 456145713462400 526321977072000 547374856154880 570182141828000 684218570193600 720230073888000 855273212742000 912291426924800 1052643954144000 1140364283656000 1368437140387200 1710546425484000 2280728567312000 2736874280774400 3421092850968000 4561457134624000 6842185701936000 13684371403872000
- Sum of all divisors σ(n): 53652119902617600
- Sum of proper divisors (its aliquot sum) s(n): 39967748498745600
- 13684371403872000 is an abundant number, because the sum of its proper divisors (39967748498745600) is greater than itself. Its abundance is 26283377094873600
Bases of 13684371403872000
- Binary: 1100001001110111011101000000001000000010010111000000002
- Hexadecimal: 0x309DDD00809700
- Base-36: 3QQPDFPV6DC
Squares and roots of 13684371403872000
- 13684371403872000 squared (136843714038720002) is 187262020719109732136592384000000
- 13684371403872000 cubed (136843714038720003) is 2562563041359871196136038595900303310848000000000
-
The
square root of 13684371403872000 is 116980218.0023272139 -
The
cube root of 13684371403872000 is 239189.2282653551
Scales and comparisons
How big is 13684371403872000?- 13,684,371,403,872,000 seconds is equal to 435,120,682 years, 5 weeks, 2 days, 13 hours, 20 minutes.
-
To count from 1 to 13,684,371,403,872,000 would take you about one billion, three hundred five million, three hundred sixty-two thousand and forty-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 13684371403872000 cubic inches would be around 19932.4 feet tall.
Recreational maths with 13684371403872000
- 13684371403872000 backwards is 00027830417348631
- 13684371403872000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13684371403872000's digits is 57
- More coming soon!
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"Number 13684371403872000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 13684371403872000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/13684371403872000/
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The information we have on file for 13684371403872000 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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