13728516984000
13,728,516,984,000 is an even composite number composed of seven prime numbers multiplied together.
13728516984000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.
Prime factorization of 13728516984000:
26 × 34 × 53 × 72 × 13 × 79 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 79 × 421)See below for interesting mathematical facts about the number 13728516984000 from the Numbermatics database.
Names of 13728516984000
- Cardinal: 13728516984000 can be written as Thirteen trillion, seven hundred twenty-eight billion, five hundred sixteen million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3728516984 × 1013
Factors of 13728516984000
Divisors of 13728516984000
- Number of divisors d(n): 3360
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 49 50 52 54 56 60 63 64 65 70 72 75 78 79 80 81 84 90 91 96 98 100 104 105 108 112 117 120 125 126 130 135 140 144 147 150 156 158 160 162 168 175 180 182 189 192 195 196 200 208 210 216 224 225 234 237 240 245 250 252 260 270 273 280 288 294 300 312 315 316 320 324 325 336 350 351 360 364 375 378 390 392 395 400 405 416 420 421 432 441 448 450 455 468 474 480 490 500 504 520 525 540 546 553 560 567 576 585 588 600 624 630 632 637 648 650 672 675 700 702 711 720 728 735 750 756 780 784 790 800 810 819 832 840 842 864 875 882 900 910 936 945 948 960 975 980 1000 1008 1027 1040 1050 1053 1080 1092 1106 1120 1125 1134 1170 1176 1185 1200 1225 1248 1260 1263 1264 1274 1296 1300 1323 1344 1350 1365 1400 1404 1422 1440 1456 1470 1500 1512 1560 1568 1575 1580 1600 1620 1625 1638 1659 1680 1684 1728 1750 1755 1764 1800 1820 1872 1890 1896 1911 1950 1960 1975 2000 2016 2025 2054 2080 2100 2105 2106 2133 2160 2184 2205 2212 2240 2250 2268 2275 2340 2352 2370 2400 2450 2457 2496 2520 2526 2528 2548 2592 2600 2625 2646 2700 2730 2765 2800 2808 2835 2844 2880 2912 2925 2940 2947 3000 3024 3081 3120 3136 3150 3160 3185 3240 3250 3276 3318 3360 3368 3375 3500 3510 3528 3555 3600 3640 3675 3744 3780 3789 3792 3822 3871 3900 3920 3950 3969 4000 4032 4050 4095 4108 4160 4200 4210 4212 4266 4320 4368 4410 4424 4500 4536 4550 4680 4704 4725 4740 4800 4875 4900 4914 4977 5040 5052 5056 5096 5135 5184 5200 5250 5265 5292 5400 5460 5473 5530 5600 5616 5670 5688 5733 5824 5850 5880 5894 5925 6000 6048 6125 6162 6240 6300 6315 6320 6370 6399 6480 6500 6552 6615 6636 6720 6736 6750 6825 7000 7020 7056 7110 7189 7200 7280 7350 7371 7488 7560 7578 7584 7644 7742 7800 7840 7875 7900 7938 8000 8100 8190 8216 8295 8400 8420 8424 8532 8640 8736 8775 8820 8841 8848 9000 9072 9100 9243 9360 9408 9450 9480 9555 9750 9800 9828 9875 9954 10080 10104 10125 10192 10270 10400 10500 10525 10530 10584 10665 10800 10920 10946 11025 11060 11200 11232 11340 11367 11375 11376 11466 11613 11700 11760 11788 11850 12000 12096 12250 12285 12324 12480 12600 12630 12640 12740 12798 12960 13000 13104 13230 13272 13472 13500 13650 13825 14000 14040 14112 14175 14220 14378 14400 14560 14625 14700 14735 14742 14931 15120 15156 15168 15288 15405 15484 15600 15680 15750 15800 15876 15925 16200 16380 16419 16432 16590 16800 16840 16848 17064 17199 17472 17550 17640 17682 17696 17775 18000 18144 18200 18375 18486 18720 18900 18945 18960 19110 19355 19500 19600 19656 19750 19845 19908 20160 20208 20250 20384 20475 20540 20629 20800 21000 21050 21060 21168 21330 21567 21600 21840 21892 22050 22120 22464 22680 22734 22750 22752 22932 23226 23400 23520 23576 23625 23700 24000 24500 24570 24648 24885 25200 25260 25280 25480 25596 25675 25920 26000 26208 26325 26460 26523 26544 26944 27000 27300 27365 27650 27729 28000 28080 28224 28350 28440 28665 28756 29120 29250 29400 29470 29484 29625 29862 30240 30312 30576 30810 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2607505600 2614955616 2640099420 2648247875 2673518400 2693979000 2715292125 2717442000 2723912100 2758392000 2793756000 2801738160 2816106048 2860107705 2896311600 2905506240 2918477250 2933443800 3017256480 3026569000 3050781552 3103191000 3113042400 3142975500 3177897450 3218124000 3259382000 3260930400 3268694520 3300124275 3341898000 3352507200 3389757280 3404890125 3432129246 3458936000 3475573920 3502172700 3520132560 3546504000 3591972000 3620389500 3623256000 3631882800 3666804750 3735650880 3771570600 3813476940 3861748800 3891303000 3911258400 3922433424 4067708736 4076163000 4085868150 4137588000 4190634000 4224159072 4237196600 4310366400 4344467400 4358259360 4377715875 4400165700 4455864000 4539853500 4576172328 4658472000 4669563600 4693510080 4714463250 4766846175 4827186000 4842510400 4889073000 4903041780 4965105600 5028760800 5084635920 5188404000 5229911232 5280198840 5296495750 5387958000 5430584250 5434884000 5447824200 5500207125 5587512000 5603476320 5720215410 5792623200 5836954500 5866887600 6034512960 6053138000 6101563104 6128802225 6206382000 6226084800 6285951000 6355794900 6436248000 6518764000 6521860800 6537389040 6600248550 6683796000 6779514560 6809780250 6864258492 6951147840 7004345400 7040265120 7183944000 7240779000 7263765600 7333609500 7543141200 7626953880 7782606000 7822516800 7844866848 7944743625 8152326000 8171736300 8275176000 8381268000 8448318144 8474393200 8580323115 8688934800 8716518720 8755431750 8800331400 9079707000 9152344656 9339127200 9428926500 9533692350 9654372000 9778146000 9806083560 10057521600 10169271840 10214670375 10376808000 10560397680 10592991500 10775916000 10861168500 10869768000 10895648400 11000414250 11206952640 11440430820 11585246400 11673909000 11733775200 12106276000 12203126208 12257604450 12412764000 12571902000 12711589800 13037528000 13074778080 13200497100 13367592000 13619560500 13728516984 14008690800 14080530240 14300538525 14481558000 14527531200 14667219000 15086282400 15253907760 15565212000 15689733696 15889487250 16304652000 16343472600 16500621375 16762536000 16948786400 17160646230 17377869600 17510863500 17600662800 18159414000 18304689312 18678254400 18857853000 19067384700 19308744000 19556292000 19612167120 20338543680 20429340750 21120795360 21185983000 21551832000 21722337000 21791296800 22000828500 22880861640 23347818000 23467550400 23834230875 24212552000 24515208900 24825528000 25143804000 25423179600 26149556160 26400994200 27239121000 27457033968 28017381600 28601077050 28963116000 29334438000 30172564800 30507815520 30644011125 31130424000 31778974500 32609304000 32686945200 33001242750 33897572800 34321292460 34755739200 35021727000 35201325600 36318828000 36609378624 37715706000 38134769400 39112584000 39224334240 40858681500 42241590720 42371966000 42901615575 43444674000 43582593600 44001657000 45761723280 46695636000 47668461750 49030417800 50287608000 50846359200 52801988400 54478242000 54914067936 56034763200 57202154100 57926232000 58668876000 61015631040 61288022250 63557949000 65373890400 66002485500 68642584920 70043454000 70402651200 71502692625 72637656000 75431412000 76269538800 78448668480 81717363000 84743932000 85803231150 86889348000 88003314000 91523446560 93391272000 95336923500 98060835600 101692718400 105603976800 108956484000 109828135872 114404308200 117337752000 122576044500 127115898000 130747780800 132004971000 137285169840 140086908000 143005385250 150862824000 152539077600 163434726000 169487864000 171606462300 173778696000 176006628000 183046893120 190673847000 196121671200 211207953600 214508077875 217912968000 228808616400 245152089000 254231796000 264009942000 274570339680 280173816000 286010770500 305078155200 326869452000 343212924600 352013256000 381347694000 392243342400 429016155750 457617232800 490304178000 508463592000 528019884000 549140679360 572021541000 653738904000 686425849200 762695388000 858032311500 915234465600 980608356000 1056039768000 1144043082000 1372851698400 1525390776000 1716064623000 1961216712000 2288086164000 2745703396800 3432129246000 4576172328000 6864258492000 13728516984000
- Sum of all divisors σ(n): 64583119560960
- Sum of proper divisors (its aliquot sum) s(n): 50854602576960
- 13728516984000 is an abundant number, because the sum of its proper divisors (50854602576960) is greater than itself. Its abundance is 37126085592960
Bases of 13728516984000
- Binary: 110001111100011010110110000011001100110000002
- Hexadecimal: 0xC7C6B60CCC0
- Base-36: 4V6SKJW00
Squares and roots of 13728516984000
- 13728516984000 squared (137285169840002) is 188472178579976456256000000
- 13728516984000 cubed (137285169840003) is 2587443504646687782030629051904000000000
-
The
square root of 13728516984000 is 3705201.3418976303 -
The
cube root of 13728516984000 is 23944.6159151107
Scales and comparisons
How big is 13728516984000?- 13,728,516,984,000 seconds is equal to 436,524 years, 19 weeks, 3 days, 12 hours.
-
To count from 1 to 13,728,516,984,000 would take you about one million, ninety-one thousand, three hundred ten 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 13728516984000 cubic inches would be around 1995.4 feet tall.
Recreational maths with 13728516984000
- 13728516984000 backwards is 00048961582731
- 13728516984000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13728516984000's digits is 54
- More coming soon!
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Cite this page
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"Number 13728516984000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 13728516984000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13728516984000/
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The information we have on file for 13728516984000 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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