135138378375
135,138,378,375 is an odd composite number composed of seven prime numbers multiplied together.
135138378375 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 135138378375:
33 × 53 × 7 × 11 × 132 × 17 × 181
(3 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 13 × 13 × 17 × 181)See below for interesting mathematical facts about the number 135138378375 from the Numbermatics database.
Names of 135138378375
- Cardinal: 135138378375 can be written as One hundred thirty-five billion, one hundred thirty-eight million, three hundred seventy-eight thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.35138378375 × 1011
Factors of 135138378375
Divisors of 135138378375
- Number of divisors d(n): 768
-
Complete list of divisors:
1 3 5 7 9 11 13 15 17 21 25 27 33 35 39 45 51 55 63 65 75 77 85 91 99 105 117 119 125 135 143 153 165 169 175 181 187 189 195 221 225 231 255 273 275 297 315 325 351 357 375 385 425 429 455 459 495 507 525 543 561 585 595 663 675 693 715 765 819 825 845 875 905 935 945 975 1001 1071 1105 1125 1155 1183 1267 1275 1287 1309 1365 1375 1485 1521 1547 1575 1625 1629 1683 1755 1785 1859 1925 1989 1991 2079 2125 2145 2275 2295 2353 2431 2457 2475 2535 2625 2715 2805 2873 2925 2975 3003 3077 3213 3315 3375 3465 3549 3575 3801 3825 3861 3927 4095 4125 4225 4525 4563 4641 4675 4725 4875 4887 5005 5049 5355 5525 5577 5775 5915 5967 5973 6335 6375 6435 6545 6825 7059 7293 7425 7605 7735 7875 8145 8415 8619 8775 8925 9009 9231 9295 9625 9945 9955 10395 10647 10725 11375 11403 11475 11765 11781 12155 12285 12375 12675 13013 13575 13923 13937 14025 14365 14625 14875 15015 15385 16065 16471 16575 16731 17017 17325 17745 17875 17919 19005 19125 19305 19635 20111 20475 21125 21177 21539 21879 22625 22815 23205 23375 23625 24435 25025 25245 25857 25883 26775 27027 27625 27693 27885 28875 29575 29835 29865 30589 31603 31675 31941 32175 32725 33847 34125 34209 35295 35343 36465 37125 38025 38675 39039 40001 40725 41769 41811 42075 43095 43875 44625 45045 46155 46475 49413 49725 49775 50193 51051 51975 53235 53625 53757 57015 57375 58825 58905 60333 60775 61425 63375 63531 64617 65065 65637 67875 69615 69685 70125 71825 75075 76925 77571 77649 80325 82355 82875 83079 83655 85085 86625 88725 89595 91767 94809 95025 96525 98175 100555 101541 102375 105885 107695 109395 114075 116025 117117 120003 122175 125125 125433 126225 129285 129415 133875 135135 138465 139425 147875 148239 149175 149325 152945 153153 158015 158375 159705 160875 163625 169235 171045 176475 176715 180999 181181 182325 190125 193375 193851 195195 200005 203625 208845 209055 210375 214123 215475 221221 225225 230775 232375 232947 236929 247065 248625 248875 250965 255255 259875 266175 268785 275301 280007 284427 285075 294125 294525 301665 303875 304623 307125 317655 323085 325325 328185 336479 348075 348425 351351 359125 360009 375375 376299 384625 387855 388245 401625 411775 415395 418275 425425 440011 443625 444717 447975 458835 459459 474045 475125 482625 490875 502775 507705 520013 529425 538475 542997 543543 546975 570375 580125 581553 585585 600015 610875 627165 631125 642369 646425 647075 663663 675675 692325 697125 698841 710787 741195 745875 746625 764725 765765 790075 798525 825903 840021 846175 853281 855225 882375 883575 904995 905905 911625 913869 969255 975975 1000025 1009437 1044225 1045275 1070615 1077375 1080027 1106105 1126125 1153875 1164735 1184645 1235325 1254825 1276275 1320033 1330875 1343925 1376505 1400035 1422135 1425375 1472625 1508325 1523115 1560039 1588275 1615425 1626625 1630629 1640925 1682395 1740375 1742125 1756755 1800045 1881495 1927107 1939275 1941225 1990989 2058875 2076975 2091375 2127125 2132361 2200055 2223585 2239875 2294175 2297295 2355353 2370225 2513875 2520063 2538525 2600065 2647125 2692375 2714985 2717715 2734875 2907765 2927925 3000075 3028311 3080077 3135825 3211845 3232125 3235375 3318315 3378375 3461625 3494205 3553935 3640091 3705975 3823625 3828825 3950375 3960099 3992625 4129515 4200105 4230875 4266405 4276125 4417875 4524975 4529525 4569345 4680117 4846275 4879875 4891887 5000125 5047185 5221125 5226375 5353075 5400135 5530525 5720143 5781321 5823675 5923225 5972967 6176625 6274125 6381375 6397083 6600165 6719625 6882525 7000175 7066059 7110675 7541625 7560189 7615575 7800195 7941375 8077125 8153145 8204625 8411975 8783775 9000225 9084933 9240231 9407475 9635535 9696375 9706125 9954945 10384875 10661805 10920273 11000275 11117925 11470875 11486475 11776765 11851125 11880297 12600315 12692625 13000325 13574925 13588575 14040351 14538825 14639625 15000375 15141555 15400385 15679125 16059225 16591575 17160429 17471025 17769675 18200455 18529875 19144125 19800495 20647575 21000525 21198177 21332025 22624875 22647625 22846725 23400585 24231375 24459435 25235925 26765375 27000675 27652625 27720693 28600715 28906605 29118375 29616125 29864835 31985415 32760819 33000825 34412625 35000875 35330295 35553375 37800945 38077875 39000975 40041001 40765725 42059875 43918875 45001125 45424665 46201155 47037375 48177675 49774725 51481287 53309025 54601365 55001375 55589625 57432375 58883825 59401485 63001575 63594531 65001625 67874625 67942875 70201755 72694125 75707775 77001925 80296125 82957875 83162079 85802145 87355125 88848375 91002275 98282457 99002475 103237875 105002625 105990885 106660125 114233625 117002925 120123003 122297175 126179625 135003375 138603465 143003575 144533025 149324175 154443861 159927075 163804095 165004125 176651475 189004725 195004875 200205005 203828625 227123325 231005775 240888375 248873625 257406435 266545125 273006825 294419125 297007425 315007875 317972655 351008775 360369009 378538875 385009625 415810395 429010725 455011375 491412285 495012375 529954425 585014625 600615015 611485875 693017325 715017875 722665125 746620875 772219305 799635375 819020475 883257375 945023625 1001025025 1081107027 1135616625 1155028875 1287032175 1365034125 1485037125 1589863275 1755043875 1801845045 2079051975 2145053625 2457061425 2649772125 3003075075 3465086625 3861096525 4095102375 5005125125 5405535135 6435160875 7949316375 9009225225 10395259875 12285307125 15015375375 19305482625 27027675675 45046126125 135138378375
- Sum of all divisors σ(n): 359129272320
- Sum of proper divisors (its aliquot sum) s(n): 223990893945
- 135138378375 is an abundant number, because the sum of its proper divisors (223990893945) is greater than itself. Its abundance is 88852515570
Bases of 135138378375
- Binary: 11111011101101110000000000010100001112
- Hexadecimal: 0x1F76E00287
- Base-36: 1Q2XWG3R
Squares and roots of 135138378375
- 135138378375 squared (1351383783752) is 18262381309824667640625
- 135138378375 cubed (1351383783753) is 2467948595475614040527399771484375
-
The
square root of 135138378375 is 367611.7223035739 -
The
cube root of 135138378375 is 5131.6800095885
Scales and comparisons
How big is 135138378375?- 135,138,378,375 seconds is equal to 4,296 years, 51 weeks, 14 hours, 26 minutes, 15 seconds.
-
To count from 1 to 135,138,378,375 would take you about eight thousand, five hundred ninety-three 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 135138378375 cubic inches would be around 427.6 feet tall.
Recreational maths with 135138378375
- 135138378375 backwards is 573873831531
- The number of decimal digits it has is: 12
- The sum of 135138378375's digits is 54
- More coming soon!
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The information we have on file for 135138378375 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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