138480144000
138,480,144,000 is an even composite number composed of six prime numbers multiplied together.
138480144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138480144000:
27 × 3 × 53 × 112 × 113 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 113 × 211)See below for interesting mathematical facts about the number 138480144000 from the Numbermatics database.
Names of 138480144000
- Cardinal: 138480144000 can be written as One hundred thirty-eight billion, four hundred eighty million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38480144 × 1011
Factors of 138480144000
Divisors of 138480144000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 113 120 121 125 128 132 150 160 165 176 192 200 211 220 226 240 242 250 264 275 300 320 330 339 352 363 375 384 400 422 440 452 480 484 500 528 550 565 600 605 633 640 660 678 704 726 750 800 825 844 880 904 960 968 1000 1055 1056 1100 1130 1200 1210 1243 1266 1320 1356 1375 1408 1452 1500 1600 1650 1688 1695 1760 1808 1815 1920 1936 2000 2110 2112 2200 2260 2321 2400 2420 2486 2532 2640 2712 2750 2825 2904 3000 3025 3165 3200 3300 3376 3390 3520 3616 3630 3729 3872 4000 4125 4220 4224 4400 4520 4642 4800 4840 4972 5064 5275 5280 5424 5500 5650 5808 6000 6050 6215 6330 6600 6752 6780 6963 7040 7232 7260 7458 7744 8000 8250 8440 8475 8800 9040 9075 9284 9600 9680 9944 10128 10550 10560 10848 11000 11300 11605 11616 12000 12100 12430 12660 13200 13504 13560 13673 13926 14125 14464 14520 14916 15125 15488 15825 16000 16500 16880 16950 17600 18080 18150 18568 18645 19360 19888 20256 21100 21120 21696 22000 22600 23210 23232 23843 24000 24200 24860 25320 25531 26375 26400 27008 27120 27346 27852 28250 29040 29832 30250 31075 31650 33000 33760 33900 34815 35200 36160 36300 37136 37290 38720 39776 40512 41019 42200 42375 43392 44000 45200 45375 46420 46464 47686 48000 48400 49720 50640 51062 52750 52800 54240 54692 55704 56500 58025 58080 59664 60500 62150 63300 66000 67520 67800 68365 69630 71529 72320 72600 74272 74580 76593 77440 79125 79552 81024 82038 84400 84750 88000 90400 90750 92840 93225 95372 96800 99440 101280 102124 105500 105600 108480 109384 111408 113000 116050 116160 119215 119328 121000 124300 126600 127655 132000 135040 135600 136730 139260 143058 145200 148544 149160 153186 155375 158250 159104 164076 168800 169500 174075 176000 180800 181500 185680 186450 190744 193600 198880 202560 204248 205095 211000 216960 218768 222816 226000 232100 232320 238430 238656 242000 248600 253200 255310 262273 264000 271200 273460 278520 286116 290125 290400 297088 298320 306372 310750 316500 328152 337600 339000 341825 348150 357645 361600 363000 371360 372900 381488 382965 387200 397760 405120 408496 410190 422000 437536 445632 452000 464200 466125 476860 477312 484000 497200 506400 510620 524546 528000 542400 546920 557040 572232 580250 580800 596075 596640 612744 621500 633000 638275 656304 675200 678000 683650 696300 715290 726000 742720 745800 762976 765930 786819 795520 816992 820380 844000 870375 875072 891264 904000 928400 932250 953720 968000 994400 1012800 1021240 1025475 1049092 1084800 1093840 1114080 1144464 1160500 1161600 1192150 1193280 1225488 1243000 1266000 1276550 1311365 1312608 1356000 1367300 1392600 1430580 1452000 1485440 1491600 1525952 1531860 1573638 1633984 1640760 1688000 1709125 1740750 1750144 1788225 1808000 1856800 1864500 1907440 1914825 1936000 1988800 2025600 2042480 2050950 2098184 2187680 2228160 2288928 2321000 2384300 2386560 2450976 2486000 2532000 2553100 2622730 2625216 2712000 2734600 2785200 2861160 2885003 2904000 2980375 2983200 3051904 3063720 3147276 3191375 3267968 3281520 3376000 3418250 3481500 3576450 3713600 3729000 3814880 3829650 3934095 3977600 4084960 4101900 4196368 4375360 4456320 4577856 4642000 4768600 4901952 4972000 5064000 5106200 5127375 5245460 5250432 5424000 5469200 5570400 5722320 5770006 5808000 5960750 5966400 6127440 6294552 6382750 6556825 6563040 6836500 6963000 7152900 7427200 7458000 7629760 7659300 7868190 8169920 8203800 8392736 8655009 8750720 8941125 9155712 9284000 9537200 9574125 9803904 9944000 10128000 10212400 10254750 10490920 10938400 11140800 11444640 11540012 11921500 11932800 12254880 12589104 12765500 13113650 13126080 13673000 13926000 14305800 14425015 14916000 15259520 15318600 15736380 16339840 16407600 16785472 17310018 17882250 18568000 19074400 19148250 19670475 19888000 20424800 20509500 20981840 21876800 22281600 22889280 23080024 23843000 24509760 25178208 25531000 26227300 26252160 27346000 27852000 28611600 28850030 29832000 30637200 31472760 32784125 32815200 33570944 34620036 35764500 37136000 38148800 38296500 39340950 40849600 41019000 41963680 43275045 43753600 45778560 46160048 47686000 49019520 50356416 51062000 52454600 54692000 55704000 57223200 57700060 59664000 61274400 62945520 65568250 65630400 69240072 71529000 72125075 76297600 76593000 78681900 81699200 82038000 83927360 86550090 92320096 95372000 98352375 100712832 102124000 104909200 109384000 111408000 114446400 115400120 122548800 125891040 131136500 131260800 138480144 143058000 144250150 153186000 157363800 164076000 167854720 173100180 184640192 190744000 196704750 204248000 209818400 216375225 218768000 228892800 230800240 245097600 251782080 262273000 276960288 286116000 288500300 306372000 314727600 328152000 346200360 360625375 369280384 381488000 393409500 408496000 419636800 432750450 461600480 503564160 524546000 553920576 572232000 577000600 612744000 629455200 656304000 692400720 721250750 786819000 839273600 865500900 923200960 1049092000 1081876125 1107841152 1144464000 1154001200 1225488000 1258910400 1384801440 1442501500 1573638000 1731001800 1846401920 2098184000 2163752250 2308002400 2517820800 2769602880 2885003000 3147276000 3462003600 4196368000 4327504500 4616004800 5539205760 5770006000 6294552000 6924007200 8655009000 9232009600 11540012000 12589104000 13848014400 17310018000 23080024000 27696028800 34620036000 46160048000 69240072000 138480144000
- Sum of all divisors σ(n): 511466417280
- Sum of proper divisors (its aliquot sum) s(n): 372986273280
- 138480144000 is an abundant number, because the sum of its proper divisors (372986273280) is greater than itself. Its abundance is 234506129280
Bases of 138480144000
- Binary: 100000001111100000111101001110100000002
- Hexadecimal: 0x203E0F4E80
- Base-36: 1RM7I2YO
Squares and roots of 138480144000
- 138480144000 squared (1384801440002) is 19176750282260736000000
- 138480144000 cubed (1384801440003) is 2655599140539507366825984000000000
-
The
square root of 138480144000 is 372129.2033689375 -
The
cube root of 138480144000 is 5173.6355897963
Scales and comparisons
How big is 138480144000?- 138,480,144,000 seconds is equal to 4,403 years, 12 weeks, 3 days, 10 hours, 40 minutes.
-
To count from 1 to 138,480,144,000 would take you about eight thousand, eight hundred six 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 138480144000 cubic inches would be around 431.1 feet tall.
Recreational maths with 138480144000
- 138480144000 backwards is 000441084831
- 138480144000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138480144000's digits is 33
- More coming soon!
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The information we have on file for 138480144000 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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