138105473184000
138,105,473,184,000 is an even composite number composed of eight prime numbers multiplied together.
138105473184000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 138105473184000:
28 × 32 × 53 × 7 × 29 × 31 × 181 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 29 × 31 × 181 × 421)See below for interesting mathematical facts about the number 138105473184000 from the Numbermatics database.
Names of 138105473184000
- Cardinal: 138105473184000 can be written as One hundred thirty-eight trillion, one hundred five billion, four hundred seventy-three million, one hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.38105473184 × 1014
Factors of 138105473184000
Divisors of 138105473184000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 29 30 31 32 35 36 40 42 45 48 50 56 58 60 62 63 64 70 72 75 80 84 87 90 93 96 100 105 112 116 120 124 125 126 128 140 144 145 150 155 160 168 174 175 180 181 186 192 200 203 210 217 224 225 232 240 248 250 252 256 261 279 280 288 290 300 310 315 320 336 348 350 360 362 372 375 384 400 406 420 421 434 435 448 450 464 465 480 496 500 504 522 525 543 558 560 576 580 600 609 620 630 640 651 672 696 700 720 724 725 744 750 768 775 800 812 840 842 868 870 875 896 899 900 905 928 930 960 992 1000 1008 1015 1044 1050 1085 1086 1116 1120 1125 1152 1160 1200 1218 1240 1260 1263 1267 1280 1302 1305 1344 1392 1395 1400 1440 1448 1450 1488 1500 1550 1575 1600 1624 1629 1680 1684 1736 1740 1750 1792 1798 1800 1810 1827 1856 1860 1920 1953 1984 2000 2016 2030 2088 2100 2105 2170 2172 2175 2232 2240 2250 2304 2320 2325 2400 2436 2480 2520 2526 2534 2604 2610 2625 2688 2697 2715 2784 2790 2800 2880 2896 2900 2947 2976 3000 3045 3100 3150 3200 3248 3255 3258 3360 3368 3472 3480 3500 3596 3600 3620 3625 3654 3712 3720 3789 3801 3840 3875 3906 3968 4000 4032 4060 4176 4200 4210 4340 4344 4350 4464 4480 4495 4500 4525 4640 4650 4800 4872 4960 5040 5052 5068 5075 5208 5220 5249 5250 5376 5394 5425 5430 5568 5580 5600 5611 5760 5792 5800 5894 5952 6000 6090 6200 6293 6300 6315 6335 6400 6496 6510 6516 6525 6720 6736 6944 6960 6975 7000 7192 7200 7240 7250 7308 7424 7440 7578 7602 7750 7812 7875 7936 8000 8064 8091 8120 8145 8352 8400 8420 8680 8688 8700 8841 8928 8960 8990 9000 9050 9135 9280 9300 9600 9744 9765 9920 10080 10104 10136 10150 10416 10440 10498 10500 10525 10788 10850 10860 10875 11136 11160 11200 11222 11403 11520 11584 11600 11625 11788 11904 12000 12180 12209 12400 12586 12600 12630 12670 12992 13020 13032 13050 13051 13440 13472 13485 13575 13888 13920 13950 14000 14384 14400 14480 14500 14616 14735 14880 15156 15204 15225 15500 15624 15747 15750 16000 16128 16182 16240 16275 16290 16704 16800 16833 16840 17360 17376 17400 17682 17856 17980 18000 18100 18270 18560 18600 18879 18945 19005 19200 19488 19530 19840 20160 20208 20272 20300 20832 20880 20996 21000 21050 21576 21700 21720 21750 22272 22320 22400 22444 22475 22625 22806 23168 23200 23250 23576 23808 24000 24360 24418 24800 25172 25200 25260 25340 25375 25984 26040 26064 26100 26102 26245 26523 26880 26944 26970 27125 27150 27776 27840 27900 28000 28055 28768 28800 28960 29000 29232 29470 29760 30312 30408 30450 31000 31248 31465 31494 31500 31575 31675 32000 32364 32480 32550 32580 32625 33408 33600 33666 33680 34720 34752 34800 34875 35364 35712 35960 36000 36200 36540 36627 36743 37120 37200 37758 37890 38010 38976 39060 39153 39277 39680 40320 40416 40455 40544 40600 40725 41664 41760 41992 42000 42100 43152 43400 43440 43500 44205 44640 44800 44888 44950 45250 45612 45675 46336 46400 46500 47152 47241 48000 48720 48825 48836 49600 50344 50400 50499 50520 50680 50750 51968 52080 52128 52200 52204 52490 52625 53046 53888 53940 54250 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215789801850 219215036800 222750763200 226774176000 230175788640 238112884800 239766446500 246616916400 247500848000 254337888000 263058044160 264569872000 274018796000 276210946368 278438454000 287719735800 297001017600 297641106000 306901051520 308271145500 317483846400 318215376000 328041504000 328822555200 340161264000 345263682960 359649669750 368281261824 371251272000 381506832000 383626314400 394587066240 396854808000 411028194000 431579603700 438430073600 445501526400 460351577280 476225769600 479532893000 493233832800 495001696000 529139744000 539474504625 548037592000 552421892736 556876908000 575439471600 595282212000 613802103040 616542291000 636430752000 657645110400 680322528000 690527365920 719299339500 742502544000 763013664000 767252628800 789174132480 793709616000 822056388000 863159207400 891003052800 920703154560 952451539200 959065786000 986467665600 1078949009250 1096075184000 1104843785472 1113753816000 1150878943200 1190564424000 1233084582000 1315290220800 1381054731840 1438598679000 1485005088000 1534505257600 1587419232000 1644112776000 1726318414800 1841406309120 1918131572000 1972935331200 2157898018500 2192150368000 2227507632000 2301757886400 2381128848000 2466169164000 2762109463680 2877197358000 3069010515200 3288225552000 3452636829600 3836263144000 3945870662400 4315796037000 4455015264000 4603515772800 4762257696000 4932338328000 5524218927360 5754394716000 6576451104000 6905273659200 7672526288000 8631592074000 9207031545600 9864676656000 11508789432000 13810547318400 15345052576000 17263184148000 19729353312000 23017578864000 27621094636800 34526368296000 46035157728000 69052736592000 138105473184000
- Sum of all divisors σ(n): 611271165173760
- Sum of proper divisors (its aliquot sum) s(n): 473165691989760
- 138105473184000 is an abundant number, because the sum of its proper divisors (473165691989760) is greater than itself. Its abundance is 335060218805760
Bases of 138105473184000
- Binary: 111110110011011001011111010101110110001000000002
- Hexadecimal: 0x7D9B2FABB100
- Base-36: 1CYCS0YF40
Squares and roots of 138105473184000
- 138105473184000 squared (1381054731840002) is 19073121723376543097856000000
- 138105473184000 cubed (1381054731840003) is 2634102500702947038735572095893504000000000
-
The
square root of 138105473184000 is 11751828.5038541981 -
The
cube root of 138105473184000 is 51689.6545917399
Scales and comparisons
How big is 138105473184000?- 138,105,473,184,000 seconds is equal to 4,391,326 years, 44 weeks, 4 days, 16 hours.
-
To count from 1 to 138,105,473,184,000 would take you about ten million, nine hundred seventy-eight thousand, three hundred seventeen 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 138105473184000 cubic inches would be around 4307.5 feet tall.
Recreational maths with 138105473184000
- 138105473184000 backwards is 000481374501831
- 138105473184000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138105473184000's digits is 45
- More coming soon!
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"Number 138105473184000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 138105473184000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138105473184000/
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The information we have on file for 138105473184000 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!
Keywords: Divisors of 138105473184000, math, Factors of 138105473184000, curriculum, school, college, exams, university, Prime factorization of 138105473184000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred five billion, four hundred seventy-three million, one hundred eighty-four thousand.