13135268966400
13,135,268,966,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 13135268966400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3120 divisors.
13135268966400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, one hundred twenty divisors.
Prime factorization of 13135268966400:
212 × 39 × 52 × 73 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 19)See below for interesting mathematical facts about the number 13135268966400 from the Numbermatics database.
Names of 13135268966400
- Cardinal: 13135268966400 can be written as Thirteen trillion, one hundred thirty-five billion, two hundred sixty-eight million, nine hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.31352689664 × 1013
Factors of 13135268966400
Divisors of 13135268966400
- Number of divisors d(n): 3120
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 49 50 54 56 57 60 63 64 70 72 75 76 80 81 84 90 95 96 98 100 105 108 112 114 120 126 128 133 135 140 144 147 150 152 160 162 168 171 175 180 189 190 192 196 200 210 216 224 225 228 240 243 245 252 256 266 270 280 285 288 294 300 304 315 320 324 336 342 343 350 360 378 380 384 392 399 400 405 420 432 441 448 450 456 475 480 486 490 504 512 513 525 532 540 560 567 570 576 588 600 608 630 640 648 665 672 675 684 686 700 720 729 735 756 760 768 784 798 800 810 840 855 864 882 896 900 912 931 945 950 960 972 980 1008 1024 1026 1029 1050 1064 1080 1120 1134 1140 1152 1176 1197 1200 1215 1216 1225 1260 1280 1296 1323 1330 1344 1350 1368 1372 1400 1425 1440 1458 1470 1512 1520 1536 1539 1568 1575 1596 1600 1620 1680 1701 1710 1715 1728 1764 1792 1800 1824 1862 1890 1900 1920 1944 1960 1995 2016 2025 2048 2052 2058 2100 2128 2160 2187 2205 2240 2268 2280 2304 2352 2394 2400 2430 2432 2450 2520 2560 2565 2592 2646 2660 2688 2700 2736 2744 2793 2800 2835 2850 2880 2916 2940 3024 3040 3072 3078 3087 3136 3150 3192 3200 3240 3325 3360 3402 3420 3430 3456 3528 3584 3591 3600 3645 3648 3675 3724 3780 3800 3840 3888 3920 3969 3990 4032 4050 4096 4104 4116 4200 4256 4275 4320 4374 4410 4480 4536 4560 4608 4617 4655 4704 4725 4788 4800 4860 4864 4900 5040 5103 5120 5130 5145 5184 5292 5320 5376 5400 5472 5488 5586 5600 5670 5700 5760 5832 5880 5985 6048 6075 6080 6144 6156 6174 6272 6300 6384 6400 6480 6517 6561 6615 6650 6720 6804 6840 6860 6912 7056 7168 7182 7200 7290 7296 7350 7448 7560 7600 7680 7695 7776 7840 7938 7980 8064 8100 8208 8232 8379 8400 8505 8512 8550 8575 8640 8748 8820 8960 9072 9120 9216 9234 9261 9310 9408 9450 9576 9600 9720 9728 9800 9975 10080 10206 10240 10260 10290 10368 10584 10640 10752 10773 10800 10935 10944 10976 11025 11172 11200 11340 11400 11520 11664 11760 11907 11970 12096 12150 12160 12288 12312 12348 12544 12600 12768 12800 12825 12960 13034 13122 13230 13300 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912171456 914457600 916243650 926650368 930787200 940584960 948326400 950178600 957381120 960180480 965260800 977326560 987614208 992839680 1001011200 1007769600 1013523840 1024192512 1026192888 1028764800 1042481664 1047135600 1063756800 1066867200 1068950925 1080203040 1081092096 1085918400 1097349120 1103155200 1116944640 1126137600 1140214320 1152216576 1158312960 1172791872 1175731200 1191407616 1196726400 1200225600 1201213440 1216228608 1219276800 1221658200 1234517760 1241049600 1266904800 1276508160 1280240640 1282741110 1287014400 1303102080 1316818944 1340333568 1350253800 1351365120 1368257184 1371686400 1389975552 1396180800 1410877440 1418342400 1422489600 1425267900 1440270720 1447891200 1465989840 1489259520 1501516800 1520285760 1531809792 1536288768 1543147200 1544417280 1563722496 1567641600 1595635200 1600300800 1621638144 1628877600 1646023680 1654732800 1675416960 1689206400 1706987520 1710321480 1728324864 1737469440 1763596800 1787111424 1800338400 1801820160 1824342912 1828915200 1832487300 1861574400 1900357200 1914762240 1920360960 1930521600 1954653120 1975228416 1985679360 2002022400 2015539200 2027047680 2052385776 2057529600 2084963328 2094271200 2127513600 2133734400 2137901850 2160406080 2162184192 2171836800 2194698240 2233889280 2252275200 2280428640 2304433152 2316625920 2345583744 2351462400 2393452800 2400451200 2432457216 2443316400 2469035520 2482099200 2533809600 2553016320 2560481280 2565482220 2574028800 2606204160 2680667136 2700507600 2702730240 2736514368 2743372800 2779951104 2792361600 2821754880 2844979200 2850535800 2880541440 2895782400 2931979680 2978519040 3003033600 3040571520 3072577536 3086294400 3127444992 3191270400 3200601600 3206852775 3243276288 3257755200 3292047360 3309465600 3350833920 3378412800 3420642960 3456649728 3474938880 3527193600 3574222848 3600676800 3603640320 3648685824 3657830400 3664974600 3723148800 3800714400 3829524480 3840721920 3861043200 3909306240 3950456832 4054095360 4104771552 4115059200 4169926656 4188542400 4255027200 4267468800 4275803700 4320812160 4343673600 4467778560 4504550400 4560857280 4608866304 4633251840 4691167488 4702924800 4786905600 4800902400 4864914432 4886632800 4938071040 4964198400 5067619200 5120962560 5130964440 5212408320 5361334272 5401015200 5405460480 5473028736 5486745600 5584723200 5701071600 5761082880 5791564800 5863959360 5957038080 6006067200 6081143040 6172588800 6254889984 6382540800 6401203200 6413705550 6486552576 6515510400 6584094720 6701667840 6756825600 6841285920 6913299456 6949877760 7054387200 7201353600 7297371648 7329949200 7446297600 7601428800 7659048960 7681443840 7722086400 7818612480 8108190720 8209543104 8230118400 8339853312 8377084800 8534937600 8551607400 8641624320 8687347200 8935557120 9009100800 9121714560 9217732608 9382334976 9573811200 9601804800 9729828864 9773265600 9876142080 9928396800 10135238400 10261928880 10424816640 10722668544 10802030400 10810920960 10946057472 10973491200 11169446400 11402143200 11522165760 11583129600 11727918720 12162286080 12345177600 12509779968 12765081600 12802406400 12827411100 13031020800 13403335680 13513651200 13682571840 13826598912 13899755520 14108774400 14402707200 14594743296 14659898400 14892595200 15202857600 15362887680 15637224960 16216381440 16419086208 16460236800 16754169600 17103214800 17283248640 17374694400 17871114240 18018201600 18243429120 18764669952 19147622400 19203609600 19459657728 19546531200 19752284160 20270476800 20523857760 20849633280 21604060800 21892114944 22338892800 22804286400 23044331520 23166259200 23455837440 24324572160 24690355200 25019559936 25604812800 25654822200 26062041600 26806671360 27027302400 27365143680 27653197824 28805414400 29189486592 29319796800 29785190400 30405715200 31274449920 32432762880 32838172416 32920473600 33508339200 34206429600 34566497280 34749388800 36486858240 37529339904 38295244800 38407219200 39093062400 40540953600 41047715520 41699266560 43208121600 43784229888 44677785600 45608572800 46088663040 46911674880 48649144320 49380710400 51309644400 52124083200 53613342720 54054604800 54730287360 57610828800 58378973184 58639593600 60811430400 62548899840 65676344832 67016678400 68412859200 69132994560 69498777600 72973716480 75058679808 76814438400 78186124800 81081907200 82095431040 86416243200 87568459776 89355571200 91217145600 93823349760 97298288640 98761420800 102619288800 104248166400 109460574720 115221657600 117279187200 121622860800 125097799680 131352689664 134033356800 136825718400 138265989120 145947432960 156372249600 162163814400 164190862080 172832486400 175136919552 182434291200 187646699520 205238577600 208496332800 218921149440 230443315200 234558374400 243245721600 262705379328 268066713600 273651436800 291894865920 312744499200 328381724160 345664972800 364868582400 375293399040 410477155200 437842298880 469116748800 486491443200 525410758656 547302873600 625488998400 656763448320 691329945600 729737164800 820954310400 875684597760 938233497600 1094605747200 1313526896640 1459474329600 1641908620800 1876466995200 2189211494400 2627053793280 3283817241600 4378422988800 6567634483200 13135268966400
- Sum of all divisors σ(n): 59974108832000
- Sum of proper divisors (its aliquot sum) s(n): 46838839865600
- 13135268966400 is an abundant number, because the sum of its proper divisors (46838839865600) is greater than itself. Its abundance is 33703570899200
Bases of 13135268966400
- Binary: 101111110010010010110000101001110000000000002
- Hexadecimal: 0xBF24B0A7000
- Base-36: 4NM9C0000
Squares and roots of 13135268966400
- 13135268966400 squared (131352689664002) is 172535290819670924328960000
- 13135268966400 cubed (131352689664003) is 2266297451112422310998591032786944000000
-
The
square root of 13135268966400 is 3624261.1614507031 -
The
cube root of 13135268966400 is 23594.6201507033
Scales and comparisons
How big is 13135268966400?- 13,135,268,966,400 seconds is equal to 417,660 years, 48 weeks.
-
To count from 1 to 13,135,268,966,400 would take you about one million, forty-four thousand, one hundred fifty-two 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 13135268966400 cubic inches would be around 1966.2 feet tall.
Recreational maths with 13135268966400
- 13135268966400 backwards is 00466986253131
- 13135268966400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13135268966400's digits is 54
- More coming soon!
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"Number 13135268966400 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
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Numbermatics. (2024). Number 13135268966400 - Facts about the integer. Retrieved 29 April 2024, from https://numbermatics.com/n/13135268966400/
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The information we have on file for 13135268966400 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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