13011686908416000
13,011,686,908,416,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13011686908416000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1872 divisors.
13011686908416000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred seventy-two divisors.
Prime factorization of 13011686908416000:
212 × 32 × 53 × 72 × 409 × 140897
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 409 × 140897)See below for interesting mathematical facts about the number 13011686908416000 from the Numbermatics database.
Names of 13011686908416000
- Cardinal: 13011686908416000 can be written as Thirteen quadrillion, eleven trillion, six hundred eighty-six billion, nine hundred eight million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.3011686908416 × 1016
Factors of 13011686908416000
Divisors of 13011686908416000
- Number of divisors d(n): 1872
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 125 126 128 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 250 252 256 280 288 294 300 315 320 336 350 360 375 384 392 400 409 420 441 448 450 480 490 500 504 512 525 560 576 588 600 630 640 672 700 720 735 750 768 784 800 818 840 875 882 896 900 960 980 1000 1008 1024 1050 1120 1125 1152 1176 1200 1225 1227 1260 1280 1344 1400 1440 1470 1500 1536 1568 1575 1600 1636 1680 1750 1764 1792 1800 1920 1960 2000 2016 2045 2048 2100 2205 2240 2250 2304 2352 2400 2450 2454 2520 2560 2625 2688 2800 2863 2880 2940 3000 3072 3136 3150 3200 3272 3360 3500 3528 3584 3600 3675 3681 3840 3920 4000 4032 4090 4096 4200 4410 4480 4500 4608 4704 4800 4900 4908 5040 5120 5250 5376 5600 5726 5760 5880 6000 6125 6135 6144 6272 6300 6400 6544 6720 7000 7056 7168 7200 7350 7362 7680 7840 7875 8000 8064 8180 8400 8589 8820 8960 9000 9216 9408 9600 9800 9816 10080 10225 10240 10500 10752 11025 11200 11452 11520 11760 12000 12250 12270 12288 12544 12600 12800 13088 13440 14000 14112 14315 14336 14400 14700 14724 15360 15680 15750 16000 16128 16360 16800 17178 17640 17920 18000 18375 18405 18432 18816 19200 19600 19632 20041 20160 20450 20480 21000 21504 22050 22400 22904 23040 23520 24000 24500 24540 25088 25200 25600 25767 26176 26880 28000 28224 28630 28672 28800 29400 29448 30675 30720 31360 31500 32000 32256 32720 33600 34356 35280 35840 36000 36750 36810 36864 37632 38400 39200 39264 40082 40320 40900 42000 42945 43008 44100 44800 45808 46080 47040 48000 49000 49080 50176 50400 51125 51200 51534 52352 53760 55125 56000 56448 57260 57600 58800 58896 60123 61350 61440 62720 63000 64000 64512 65440 67200 68712 70560 71575 71680 72000 73500 73620 75264 76800 78400 78528 80164 80640 81800 84000 85890 86016 88200 89600 91616 92025 92160 94080 96000 98000 98160 100205 100352 100800 102250 102400 103068 104704 107520 110250 112000 112896 114520 115200 117600 117792 120246 122700 125440 126000 128000 128835 129024 130880 134400 137424 140897 141120 143150 143360 144000 147000 147240 150528 153375 153600 156800 157056 160328 161280 163600 168000 171780 176400 179200 180369 183232 184050 184320 188160 192000 196000 196320 200410 200704 201600 204500 206136 209408 214725 215040 220500 224000 225792 229040 230400 235200 235584 240492 245400 250880 252000 256000 257670 258048 261760 268800 274848 281794 282240 286300 288000 294000 294480 300615 301056 306750 307200 313600 314112 320656 322560 327200 336000 343560 352800 357875 358400 360738 366464 368100 376320 384000 392000 392640 400820 403200 409000 412272 418816 422691 429450 430080 441000 448000 451584 458080 460125 460800 470400 471168 480984 490800 501025 501760 504000 512000 515340 523520 537600 549696 563588 564480 572600 576000 588000 588960 601230 602112 613500 627200 628224 641312 644175 645120 654400 672000 687120 704485 705600 715750 716800 721476 732928 736200 752640 768000 784000 785280 801640 806400 818000 824544 837632 845382 858900 882000 896000 901845 903168 916160 920250 921600 940800 942336 961968 981600 986279 1002050 1003520 1008000 1030680 1047040 1073625 1075200 1099392 1127176 1128960 1145200 1152000 1176000 1177920 1202460 1227000 1254400 1256448 1268073 1282624 1288350 1290240 1308800 1344000 1374240 1408970 1411200 1431500 1442952 1465856 1472400 1503075 1505280 1536000 1568000 1570560 1603280 1612800 1636000 1649088 1675264 1690764 1717800 1764000 1792000 1803690 1806336 1832320 1840500 1881600 1884672 1923936 1963200 1972558 2004100 2016000 2061360 2094080 2113455 2147250 2150400 2198784 2254352 2257920 2290400 2304000 2352000 2355840 2404920 2454000 2505125 2508800 2512896 2536146 2565248 2576700 2617600 2688000 2748480 2817940 2822400 2863000 2885904 2931712 2944800 2958837 3006150 3010560 3136000 3141120 3206560 3220875 3225600 3272000 3298176 3381528 3435600 3522425 3528000 3584000 3607380 3664640 3681000 3763200 3769344 3847872 3926400 3945116 4008200 4032000 4122720 4188160 4226910 4294500 4397568 4508704 4509225 4515840 4580800 4608000 4704000 4711680 4809840 4908000 4931395 5010250 5017600 5025792 5072292 5130496 5153400 5235200 5376000 5496960 5635880 5644800 5726000 5771808 5863424 5889600 5917674 6012300 6272000 6282240 6340365 6413120 6441750 6451200 6544000 6596352 6763056 6871200 6903953 7044850 7056000 7214760 7329280 7362000 7515375 7526400 7538688 7695744 7852800 7890232 8016400 8064000 8245440 8376320 8453820 8589000 8795136 8876511 9017408 9018450 9031680 9161600 9408000 9423360 9619680 9816000 9862790 10020500 10144584 10260992 10306800 10470400 10567275 10752000 10993920 11271760 11289600 11452000 11543616 11726848 11779200 11835348 12024600 12544000 12564480 12680730 12826240 12883500 13088000 13192704 13526112 13742400 13807906 14089700 14112000 14429520 14658560 14724000 14794185 15030750 15052800 15077376 15391488 15705600 15780464 16032800 16128000 16490880 16907640 17178000 17590272 17612125 17753022 18034816 18036900 18323200 18816000 18846720 19239360 19632000 19725580 20041000 20289168 20521984 20613600 20711859 20940800 21134550 21987840 22543520 22546125 22579200 22904000 23087232 23558400 23670696 24049200 24656975 25088000 25128960 25361460 25652480 25767000 26176000 26385408 27052224 27484800 27615812 28179400 28224000 28859040 29317120 29448000 29588370 30061500 30782976 31411200 31560928 31701825 32065600 32256000 32981760 33815280 34356000 34519765 35180544 35224250 35506044 36069632 36073800 36646400 37632000 37693440 38478720 39264000 39451160 40082000 40578336 41043968 41227200 41423718 41881600 42269100 43975680 44382555 45087040 45092250 45158400 45808000 46174464 47116800 47341392 48098400 49313950 50722920 51304960 51534000 52352000 52770816 52836375 54104448 54969600 55231624 56358800 56448000 57626873 57718080 58634240 58896000 59176740 60123000 61565952 62135577 62822400 63121856 63403650 64131200 65963520 67630560 68712000 69039530 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722871494912 726098599800 737623974400 757462272000 774505173120 795335385600 806776222000 813230431776 826138851328 829826971200 847115033100 883705984000 885148769280 903589368640 907623249750 908954726400 922029968000 929406207744 968131466400 994169232000 1016538039720 1032673564160 1037283714000 1058893791375 1060447180800 1062178523136 1084307242368 1106435961600 1129486710800 1136193408000 1161757759680 1180198359040 1210164333000 1239208276992 1270672549650 1272536616960 1290841955200 1325558976000 1327723153920 1355384052960 1383044952000 1411858388500 1445742989824 1452197199600 1475247948800 1514924544000 1549010346240 1590670771200 1613552444000 1626460863552 1652277702656 1659653942400 1694230066200 1767411968000 1770297538560 1807178737280 1815246499500 1844059936000 1858812415488 1936262932800 1988338464000 2033076079440 2065347128320 2074567428000 2117787582750 2120894361600 2124357046272 2168614484736 2212871923200 2258973421600 2272386816000 2323515519360 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65058434542080 66386157696000 67769202648000 72287149491200 74352496619520 77450517312000 81323043177600 86744579389440 88514876928000 90358936864000 92940620774400 101653803972000 103267356416000 104093495267328 108430724236800 116175775968000 123920827699200 130116869084160 132772315392000 135538405296000 144574298982400 154901034624000 162646086355200 173489158778880 180717873728000 185881241548800 203307607944000 206534712832000 216861448473600 232351551936000 260233738168320 265544630784000 271076810592000 289148597964800 309802069248000 325292172710400 361435747456000 371762483097600 406615215888000 433722896947200 464703103872000 520467476336640 542153621184000 619604138496000 650584345420800 722871494912000 813230431776000 867445793894400 929406207744000 1084307242368000 1301168690841600 1445742989824000 1626460863552000 1858812415488000 2168614484736000 2602337381683200 3252921727104000 4337228969472000 6505843454208000 13011686908416000
- Sum of all divisors σ(n): 54697618454478480
- Sum of proper divisors (its aliquot sum) s(n): 41685931546062480
- 13011686908416000 is an abundant number, because the sum of its proper divisors (41685931546062480) is greater than itself. Its abundance is 28674244637646480
Bases of 13011686908416000
- Binary: 1011100011101000001111011100000001101011010000000000002
- Hexadecimal: 0x2E3A0F701AD000
- Base-36: 3K49AG1GXS0
Squares and roots of 13011686908416000
- 13011686908416000 squared (130116869084160002) is 169303996202644323971629056000000
- 13011686908416000 cubed (130116869084160003) is 2202930590932459327622456390159796535296000000000
-
The
square root of 13011686908416000 is 114068781.4803682383 -
The
cube root of 13011686908416000 is 235203.9087785773
Scales and comparisons
How big is 13011686908416000?- 13,011,686,908,416,000 seconds is equal to 413,731,395 years, 46 weeks, 4 days, 16 hours.
-
To count from 1 to 13,011,686,908,416,000 would take you about one billion, two hundred forty-one million, one hundred ninety-four thousand, one hundred eighty-seven 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 13011686908416000 cubic inches would be around 19600.3 feet tall.
Recreational maths with 13011686908416000
- 13011686908416000 backwards is 00061480968611031
- The number of decimal digits it has is: 17
- The sum of 13011686908416000's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 13011686908416000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13011686908416000/
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The information we have on file for 13011686908416000 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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