136125413664768000
136,125,413,664,768,000 is an even composite number composed of six prime numbers multiplied together.
136125413664768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 136125413664768000:
214 × 34 × 53 × 11 × 2411 × 30941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 2411 × 30941)See below for interesting mathematical facts about the number 136125413664768000 from the Numbermatics database.
Names of 136125413664768000
- Cardinal: 136125413664768000 can be written as One hundred thirty-six quadrillion, one hundred twenty-five trillion, four hundred thirteen billion, six hundred sixty-four million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.36125413664768 × 1017
Factors of 136125413664768000
Divisors of 136125413664768000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 125 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 250 256 264 270 275 288 297 300 320 324 330 352 360 375 384 396 400 405 432 440 450 480 495 500 512 528 540 550 576 594 600 640 648 660 675 704 720 750 768 792 800 810 825 864 880 891 900 960 990 1000 1024 1056 1080 1100 1125 1152 1188 1200 1280 1296 1320 1350 1375 1408 1440 1485 1500 1536 1584 1600 1620 1650 1728 1760 1782 1800 1920 1980 2000 2025 2048 2112 2160 2200 2250 2304 2376 2400 2411 2475 2560 2592 2640 2700 2750 2816 2880 2970 3000 3072 3168 3200 3240 3300 3375 3456 3520 3564 3600 3840 3960 4000 4050 4096 4125 4224 4320 4400 4455 4500 4608 4752 4800 4822 4950 5120 5184 5280 5400 5500 5632 5760 5940 6000 6144 6336 6400 6480 6600 6750 6912 7040 7128 7200 7233 7425 7680 7920 8000 8100 8192 8250 8448 8640 8800 8910 9000 9216 9504 9600 9644 9900 10125 10240 10368 10560 10800 11000 11264 11520 11880 12000 12055 12288 12375 12672 12800 12960 13200 13500 13824 14080 14256 14400 14466 14850 15360 15840 16000 16200 16384 16500 16896 17280 17600 17820 18000 18432 19008 19200 19288 19800 20250 20480 20736 21120 21600 21699 22000 22275 22528 23040 23760 24000 24110 24576 24750 25344 25600 25920 26400 26521 27000 27648 28160 28512 28800 28932 29700 30720 30941 31680 32000 32400 33000 33792 34560 35200 35640 36000 36165 36864 37125 38016 38400 38576 39600 40500 40960 41472 42240 43200 43398 44000 44550 45056 46080 47520 48000 48220 49152 49500 50688 51200 51840 52800 53042 54000 55296 56320 57024 57600 57864 59400 60275 61440 61882 63360 64000 64800 65097 66000 67584 69120 70400 71280 72000 72330 73728 74250 76032 76800 77152 79200 79563 81000 81920 82944 84480 86400 86796 88000 89100 90112 92160 92823 95040 96000 96440 99000 101376 102400 103680 105600 106084 108000 108495 110592 111375 112640 114048 115200 115728 118800 120550 122880 123764 126720 128000 129600 130194 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6302102484480 6445332086400 6564690088000 6646748714100 6722242650112 6875020892160 7057518336000 7089865295040 7161480096000 7385276349000 7562522981376 7638912102400 7734398503680 7877628105600 8056665108000 8250025070592 8308435892625 8402803312640 8507838354048 8593776115200 8862331618800 9166694522880 9410024448000 9453153726720 9548640128000 9667998129600 9847035132000 10083363975168 10312531338240 10503504140800 10634797942560 10742220144000 11000033427456 11077914523500 11292029337600 11343784472064 11458368153600 11816442158400 12084997662000 12375037605888 12604204968960 12890664172800 13129380176000 13293497428200 13444485300224 13750041784320 14115036672000 14179730590080 14322960192000 14770552698000 15125045962752 15277824204800 15468797007360 15755256211200 16113330216000 16500050141184 16616871785250 16805606625280 17015676708096 17187552230400 17724663237600 18333389045760 18820048896000 18906307453440 19097280256000 19335996259200 19694070264000 20166727950336 20625062676480 21007008281600 21269595885120 21484440288000 22155829047000 22687568944128 22916736307200 23632884316800 24169995324000 24750075211776 25208409937920 25781328345600 26258760352000 26586994856400 27500083568640 28230073344000 28359461180160 28645920384000 29541105396000 30250091925504 30555648409600 30937594014720 31510512422400 32226660432000 33000100282368 33233743570500 33611213250560 34031353416192 34375104460800 35449326475200 37812614906880 38194560512000 38671992518400 39388140528000 40333455900672 41250125352960 42014016563200 42539191770240 42968880576000 44311658094000 45375137888256 45833472614400 47265768633600 48339990648000 49500150423552 50416819875840 51562656691200 52517520704000 53173989712800 55000167137280 56460146688000 56718922360320 57291840768000 59082210792000 60500183851008 61875188029440 63021024844800 64453320864000 66467487141000 67222426501120 68062706832384 68750208921600 70898652950400 75625229813760 76389121024000 77343985036800 78776281056000 82500250705920 84028033126400 85078383540480 85937761152000 88623316188000 90750275776512 91666945228800 94531537267200 96679981296000 99000300847104 100833639751680 103125313382400 105035041408000 106347979425600 113437844720640 114583681536000 118164421584000 121000367702016 123750376058880 126042049689600 128906641728000 132934974282000 136125413664768 137500417843200 141797305900800 151250459627520 152778242048000 154687970073600 157552562112000 165000501411840 168056066252800 170156767080960 171875522304000 177246632376000 181500551553024 189063074534400 193359962592000 201667279503360 206250626764800 210070082816000 212695958851200 226875689441280 229167363072000 236328843168000 247500752117760 252084099379200 257813283456000 265869948564000 272250827329536 275000835686400 283594611801600 302500919255040 309375940147200 315105124224000 336112132505600 340313534161920 343751044608000 354493264752000 363001103106048 378126149068800 386719925184000 412501253529600 420140165632000 425391917702400 453751378882560 458334726144000 472657686336000 495001504235520 504168198758400 515626566912000 531739897128000 544501654659072 567189223603200 605001838510080 618751880294400 630210248448000 680627068323840 687502089216000 708986529504000 756252298137600 773439850368000 825002507059200 840280331264000 850783835404800 907502757765120 945315372672000 1008336397516800 1031253133824000 1063479794256000 1089003309318144 1134378447206400 1237503760588800 1260420496896000 1361254136647680 1375004178432000 1417973059008000 1512504596275200 1546879700736000 1680560662528000 1701567670809600 1815005515530240 1890630745344000 2062506267648000 2126959588512000 2268756894412800 2475007521177600 2520840993792000 2722508273295360 2835946118016000 3025009192550400 3093759401472000 3403135341619200 3781261490688000 4125012535296000 4253919177024000 4537513788825600 5041681987584000 5445016546590720 5671892236032000 6187518802944000 6806270683238400 7562522981376000 8507838354048000 9075027577651200 11343784472064000 12375037605888000 13612541366476800 15125045962752000 17015676708096000 22687568944128000 27225082732953600 34031353416192000 45375137888256000 68062706832384000 136125413664768000
- Sum of all divisors σ(n): 553928335017273216
- Sum of proper divisors (its aliquot sum) s(n): 417802921352505216
- 136125413664768000 is an abundant number, because the sum of its proper divisors (417802921352505216) is greater than itself. Its abundance is 281677507687737216
Bases of 136125413664768000
- Binary: 1111000111001110101010111101011100110010001000000000000002
- Hexadecimal: 0x1E39D57AE644000
- Base-36: 118CFJQ9Z400
Squares and roots of 136125413664768000
- 136125413664768000 squared (1361254136647680002) is 18530128245404206540284493824000000
- 136125413664768000 cubed (1361254136647680003) is 2522421372666849260674391432659791702392832000000000
-
The
square root of 136125413664768000 is 368951776.8825188893 -
The
cube root of 136125413664768000 is 514414.3449816963
Scales and comparisons
How big is 136125413664768000?- 136,125,413,664,768,000 seconds is equal to 4,328,367,090 years, 51 weeks, 3 days.
-
To count from 1 to 136,125,413,664,768,000 would take you about twelve billion, nine hundred eighty-five million, one hundred one thousand, two hundred seventy-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 136125413664768000 cubic inches would be around 42867.9 feet tall.
Recreational maths with 136125413664768000
- 136125413664768000 backwards is 000867466314521631
- The number of decimal digits it has is: 18
- The sum of 136125413664768000's digits is 63
- More coming soon!
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"Number 136125413664768000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 136125413664768000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/136125413664768000/
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The information we have on file for 136125413664768000 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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