13964055625728000
13,964,055,625,728,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13964055625728000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
13964055625728000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13964055625728000:
217 × 32 × 53 × 13 × 26992
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 2699 × 2699)See below for interesting mathematical facts about the number 13964055625728000 from the Numbermatics database.
Names of 13964055625728000
- Cardinal: 13964055625728000 can be written as Thirteen quadrillion, nine hundred sixty-four trillion, fifty-five billion, six hundred twenty-five million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3964055625728 × 1016
Factors of 13964055625728000
Divisors of 13964055625728000
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 144 150 156 160 180 192 195 200 208 225 234 240 250 256 260 288 300 312 320 325 360 375 384 390 400 416 450 468 480 500 512 520 576 585 600 624 640 650 720 750 768 780 800 832 900 936 960 975 1000 1024 1040 1125 1152 1170 1200 1248 1280 1300 1440 1500 1536 1560 1600 1625 1664 1800 1872 1920 1950 2000 2048 2080 2250 2304 2340 2400 2496 2560 2600 2699 2880 2925 3000 3072 3120 3200 3250 3328 3600 3744 3840 3900 4000 4096 4160 4500 4608 4680 4800 4875 4992 5120 5200 5398 5760 5850 6000 6144 6240 6400 6500 6656 7200 7488 7680 7800 8000 8097 8192 8320 9000 9216 9360 9600 9750 9984 10240 10400 10796 11520 11700 12000 12288 12480 12800 13000 13312 13495 14400 14625 14976 15360 15600 16000 16194 16384 16640 18000 18432 18720 19200 19500 19968 20480 20800 21592 23040 23400 24000 24291 24576 24960 25600 26000 26624 26990 28800 29250 29952 30720 31200 32000 32388 32768 33280 35087 36000 36864 37440 38400 39000 39936 40485 40960 41600 43184 46080 46800 48000 48582 49152 49920 51200 52000 53248 53980 57600 58500 59904 61440 62400 64000 64776 65536 66560 67475 70174 72000 73728 74880 76800 78000 79872 80970 81920 83200 86368 92160 93600 96000 97164 98304 99840 102400 104000 105261 106496 107960 115200 117000 119808 121455 122880 124800 128000 129552 131072 133120 134950 140348 144000 147456 149760 153600 156000 159744 161940 163840 166400 172736 175435 184320 187200 192000 194328 196608 199680 202425 204800 208000 210522 212992 215920 230400 234000 239616 242910 245760 249600 256000 259104 266240 269900 280696 288000 294912 299520 307200 312000 315783 319488 323880 327680 332800 337375 345472 350870 368640 374400 384000 388656 393216 399360 404850 409600 416000 421044 425984 431840 460800 468000 479232 485820 491520 499200 512000 518208 526305 532480 539800 561392 576000 589824 599040 607275 614400 624000 631566 638976 647760 655360 665600 674750 690944 701740 737280 748800 768000 777312 798720 809700 819200 832000 842088 851968 863680 877175 921600 936000 958464 971640 983040 998400 1012125 1024000 1036416 1052610 1064960 1079600 1122784 1152000 1179648 1198080 1214550 1228800 1248000 1263132 1277952 1295520 1331200 1349500 1381888 1403480 1474560 1497600 1536000 1554624 1578915 1597440 1619400 1638400 1664000 1684176 1703936 1727360 1754350 1843200 1872000 1916928 1943280 1966080 1996800 2024250 2048000 2072832 2105220 2129920 2159200 2245568 2304000 2396160 2429100 2457600 2496000 2526264 2555904 2591040 2631525 2662400 2699000 2763776 2806960 2949120 2995200 3036375 3072000 3109248 3157830 3194880 3238800 3276800 3328000 3368352 3454720 3508700 3686400 3744000 3833856 3886560 3993600 4048500 4096000 4145664 4210440 4259840 4318400 4385875 4491136 4608000 4792320 4858200 4915200 4992000 5052528 5111808 5182080 5263050 5324800 5398000 5527552 5613920 5898240 5990400 6072750 6144000 6218496 6315660 6389760 6477600 6656000 6736704 6909440 7017400 7284601 7372800 7488000 7667712 7773120 7894575 7987200 8097000 8192000 8291328 8420880 8519680 8636800 8771750 8982272 9216000 9584640 9716400 9830400 9984000 10105056 10364160 10526100 10649600 10796000 11055104 11227840 11980800 12145500 12288000 12436992 12631320 12779520 12955200 13157625 13312000 13473408 13818880 14034800 14569202 14745600 14976000 15335424 15546240 15789150 15974400 16194000 16384000 16582656 16841760 17273600 17543500 17964544 18432000 19169280 19432800 19968000 20210112 20728320 21052200 21299200 21592000 21853803 22110208 22455680 23961600 24291000 24576000 24873984 25262640 25559040 25910400 26315250 26624000 26946816 27637760 28069600 29138404 29491200 29952000 31092480 31578300 31948800 32388000 33165312 33683520 34547200 35087000 35929088 36423005 36864000 38338560 38865600 39472875 39936000 40420224 41456640 42104400 42598400 43184000 43707606 44220416 44911360 47923200 48582000 49152000 49747968 50525280 51820800 52630500 53248000 53893632 55275520 56139200 58276808 59904000 62184960 63156600 63897600 64776000 65561409 66330624 67367040 69094400 70174000 71858176 72846010 73728000 76677120 77731200 78945750 79872000 80840448 82913280 84208800 86368000 87415212 88440832 89822720 94699813 95846400 97164000 99495936 101050560 103641600 105261000 106496000 107787264 109269015 110551040 112278400 116553616 119808000 124369920 126313200 127795200 129552000 131122818 132661248 134734080 138188800 140348000 143716352 145692020 147456000 155462400 157891500 159744000 161680896 165826560 168417600 172736000 174830424 176881664 179645440 182115025 189399626 191692800 194328000 198991872 202101120 207283200 210522000 212992000 215574528 218538030 221102080 224556800 233107232 239616000 248739840 252626400 259104000 262245636 265322496 269468160 276377600 280696000 284099439 287432704 291384040 310924800 315783000 319488000 323361792 327807045 331653120 336835200 345472000 349660848 353763328 359290880 364230050 378799252 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10926901500 11055104000 11189147136 11363977560 11497308160 11655361600 11837476625 12121576064 12436992000 12934471680 13112281800 13266124800 13473408000 13636773072 13796769792 13986433920 14204971950 14371635200 14569202000 14918862848 15151970080 15919349760 16168089600 16390352250 16582656000 16783720704 17045966340 17245962240 17483042400 17964544000 18182364096 18648578560 18939962600 19899187200 20210112000 20695154688 20979650880 21307457925 21557452800 21853803000 22110208000 22378294272 22727955120 22994616320 23310723200 23674953250 24243152128 24873984000 25868943360 26224563600 26532249600 26946816000 27273546144 27972867840 28409943900 28743270400 29138404000 29837725696 30303940160 32336179200 32780704500 33165312000 33567441408 34091932680 34491924480 34966084800 35512429875 35929088000 36364728192 37297157120 37879925200 39798374400 40420224000 41390309376 41959301760 42614915850 43114905600 43707606000 44220416000 44756588544 45455910240 46621446400 47349906500 48486304256 49747968000 51737886720 52449127200 53893632000 54547092288 55945735680 56819887800 57486540800 58276808000 59675451392 60607880320 64672358400 65561409000 66330624000 67134882816 68183865360 68983848960 69932169600 71024859750 71858176000 72729456384 74594314240 75759850400 79596748800 80840448000 83918603520 85229831700 86229811200 87415212000 89513177088 90911820480 93242892800 94699813000 96972608512 99495936000 103475773440 104898254400 106537289625 107787264000 109094184576 111891471360 113639775600 114973081600 116553616000 119350902784 121215760640 129344716800 131122818000 132661248000 134269765632 136367730720 139864339200 142049719500 143716352000 145458912768 149188628480 151519700800 161680896000 167837207040 170459663400 172459622400 174830424000 179026354176 181823640960 186485785600 189399626000 193945217024 198991872000 206951546880 209796508800 213074579250 215574528000 218188369152 223782942720 227279551200 233107232000 238701805568 242431521280 258689433600 262245636000 268539531264 272735461440 279728678400 284099439000 287432704000 290917825536 298377256960 303039401600 323361792000 335674414080 340919326800 344919244800 349660848000 358052708352 363647281920 372971571200 378799252000 387890434048 397983744000 419593017600 426149158500 431149056000 436376738304 447565885440 454559102400 466214464000 477403611136 484863042560 517378867200 524491272000 537079062528 545470922880 559457356800 568198878000 574865408000 581835651072 596754513920 606078803200 646723584000 671348828160 681838653600 699321696000 716105416704 727294563840 745943142400 757598504000 775780868096 839186035200 852298317000 862298112000 872753476608 895131770880 909118204800 932428928000 954807222272 969726085120 1034757734400 1048982544000 1074158125056 1090941845760 1118914713600 1136397756000 1163671302144 1193509027840 1212157606400 1293447168000 1342697656320 1363677307200 1398643392000 1432210833408 1454589127680 1491886284800 1515197008000 1551561736192 1678372070400 1704596634000 1724596224000 1745506953216 1790263541760 1818236409600 1864857856000 1939452170240 2097965088000 2148316250112 2181883691520 2237829427200 2272795512000 2327342604288 2387018055680 2424315212800 2586894336000 2685395312640 2727354614400 2797286784000 2864421666816 2909178255360 2983772569600 3030394016000 3103123472384 3356744140800 3409193268000 3491013906432 3580527083520 3636472819200 3729715712000 3878904340480 4195930176000 4296632500224 4363767383040 4475658854400 4545591024000 4654685208576 4774036111360 4848630425600 5173788672000 5370790625280 5454709228800 5594573568000 5818356510720 5967545139200 6060788032000 6206246944768 6713488281600 6818386536000 6982027812864 7161054167040 7272945638400 7459431424000 7757808680960 8391860352000 8593265000448 8727534766080 8951317708800 9091182048000 9309370417152 9697260851200 10741581250560 10909418457600 11189147136000 11636713021440 11935090278400 12121576064000 12412493889536 13426976563200 13636773072000 13964055625728 14322108334080 14545891276800 14918862848000 15515617361920 16783720704000 17455069532160 17902635417600 18182364096000 18618740834304 19394521702400 21483162501120 21818836915200 22378294272000 23273426042880 23870180556800 24243152128000 26853953126400 27273546144000 27928111251456 29091782553600 29837725696000 31031234723840 33567441408000 34910139064320 35805270835200 36364728192000 37237481668608 38789043404800 42966325002240 43637673830400 44756588544000 46546852085760 48486304256000 53707906252800 54547092288000 55856222502912 58183565107200 59675451392000 62062469447680 67134882816000 69820278128640 71610541670400 72729456384000 77578086809600 87275347660800 89513177088000 93093704171520 96972608512000 107415812505600 109094184576000 111712445005824 116367130214400 119350902784000 134269765632000 139640556257280 145458912768000 155156173619200 174550695321600 179026354176000 186187408343040 193945217024000 214831625011200 218188369152000 232734260428800 268539531264000 279281112514560 290917825536000 310312347238400 349101390643200 358052708352000 387890434048000 436376738304000 465468520857600 537079062528000 558562225029120 581835651072000 698202781286400 775780868096000 872753476608000 930937041715200 1074158125056000 1163671302144000 1396405562572800 1551561736192000 1745506953216000 2327342604288000 2792811125145600 3491013906432000 4654685208576000 6982027812864000 13964055625728000
- Sum of all divisors σ(n): 54237661948052856
- Sum of proper divisors (its aliquot sum) s(n): 40273606322324856
- 13964055625728000 is an abundant number, because the sum of its proper divisors (40273606322324856) is greater than itself. Its abundance is 26309550696596856
Bases of 13964055625728000
- Binary: 1100011001110000111100000011110011001000000000000000002
- Hexadecimal: 0x319C3C0F320000
- Base-36: 3THUELEBR40
Squares and roots of 13964055625728000
- 13964055625728000 squared (139640556257280002) is 194994849518425805615529984000000
- 13964055625728000 cubed (139640556257280003) is 2722918925405758662500112046919465828352000000000
-
The
square root of 13964055625728000 is 118169605.3379548187 -
The
cube root of 13964055625728000 is 240807.7852223341
Scales and comparisons
How big is 13964055625728000?- 13,964,055,625,728,000 seconds is equal to 444,013,775 years, 12 weeks, 2 days, 16 hours.
-
To count from 1 to 13,964,055,625,728,000 would take you about one billion, three hundred thirty-two million, forty-one thousand, three hundred twenty-five 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 13964055625728000 cubic inches would be around 20067.3 feet tall.
Recreational maths with 13964055625728000
- 13964055625728000 backwards is 00082752655046931
- The number of decimal digits it has is: 17
- The sum of 13964055625728000's digits is 63
- More coming soon!
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The information we have on file for 13964055625728000 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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