135048140591442
135,048,140,591,442 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135048140591442 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 288 divisors.
135048140591442 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 135048140591442:
2 × 3 × 132 × 312 × 61 × 373 × 6091
(2 × 3 × 13 × 13 × 31 × 31 × 61 × 373 × 6091)See below for interesting mathematical facts about the number 135048140591442 from the Numbermatics database.
Names of 135048140591442
- Cardinal: 135048140591442 can be written as One hundred thirty-five trillion, forty-eight billion, one hundred forty million, five hundred ninety-one thousand, four hundred forty-two.
Scientific notation
- Scientific notation: 1.35048140591442 × 1014
Factors of 135048140591442
Divisors of 135048140591442
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 6 13 26 31 39 61 62 78 93 122 169 183 186 338 366 373 403 507 746 793 806 961 1014 1119 1209 1586 1891 1922 2238 2379 2418 2883 3782 4758 4849 5239 5673 5766 6091 9698 10309 10478 11346 11563 12182 12493 14547 15717 18273 20618 22753 23126 24583 24986 29094 30927 31434 34689 36546 37479 45506 49166 58621 61854 63037 68259 69378 73749 74958 79183 117242 126074 136518 147498 150319 158366 162409 175863 188821 189111 237549 295789 300638 319579 324818 351726 358453 371551 377642 378222 450957 475098 487227 566463 591578 639158 705343 716906 743102 762073 887367 901914 958737 974454 1029379 1075359 1114653 1132926 1410686 1524146 1774734 1917474 1954147 2058758 2116029 2150718 2229306 2271943 2286219 2454673 3088137 3845257 3908294 4232058 4543886 4572438 4659889 4830163 4909346 5853451 5862441 6176274 6815829 7364019 7690514 9169459 9319778 9660326 9906949 11518081 11535771 11706902 11724882 13631658 13979667 14490489 14728038 17560353 18338918 19813898 21865633 23036162 23071542 27508377 27959334 28980978 29535259 29720847 31910749 34554243 35120706 43731266 55016754 59070518 59441694 60578557 62792119 63821498 65596899 69108486 70430233 76094863 88605777 95732247 119202967 121157114 125584238 131193798 138588523 140860466 149735053 152189726 177211554 181735671 188376357 191464494 211290699 228284589 238405934 277177046 284253229 299470106 357060511 357608901 363471342 376752714 383958367 415765569 422581398 449205159 456569178 568506458 714121022 715217802 767916734 831531138 852759687 898410318 915593029 989233219 1071181533 1151875101 1705519374 1801650799 1831186058 1946555689 1978466438 2142363066 2183337223 2303750202 2746779087 2967699657 3603301598 3695291977 3893111378 4296244213 4366674446 4641786643 5404952397 5493558174 5839667067 5935399314 6550011669 7390583954 8592488426 9283573286 10809904794 11085875931 11679334134 11902709377 12888732639 13100023338 13925359929 22171751862 23421460387 23805418754 25777465278 27850719858 28383383899 35708128131 46842920774 55851174769 56766767798 60343226359 70264381161 71416256262 85150151697 111702349538 120686452718 133183570603 140528762322 167553524307 170300303394 181029679077 266367141206 335107048614 362059358154 368983990687 399550711809 726065271997 737967981374 799101423618 1106951972061 1452130543994 1731386417839 2178195815991 2213903944122 3462772835678 4356391631982 5194159253517 10388318507034 22508023431907 45016046863814 67524070295721 135048140591442
- Sum of all divisors σ(n): 308038337373888
- Sum of proper divisors (its aliquot sum) s(n): 172990196782446
- 135048140591442 is an abundant number, because the sum of its proper divisors (172990196782446) is greater than itself. Its abundance is 37942056191004
Bases of 135048140591442
- Binary: 111101011010011010110000111001010010001010100102
- Hexadecimal: 0x7AD358729152
- Base-36: 1BVC9C2GR6
Squares and roots of 135048140591442
- 135048140591442 squared (1350481405914422) is 18238000277205884385563639364
- 135048140591442 cubed (1350481405914423) is 2463008025542858443276615020505512952722888
-
The
square root of 135048140591442 is 11621021.4951802753 -
The
cube root of 135048140591442 is 51305.3753981105
Scales and comparisons
How big is 135048140591442?- 135,048,140,591,442 seconds is equal to 4,294,113 years, 7 weeks, 1 day, 18 hours, 30 minutes, 42 seconds.
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To count from 1 to 135,048,140,591,442 would take you about ten million, seven hundred thirty-five thousand, two hundred eighty-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 135048140591442 cubic inches would be around 4275.4 feet tall.
Recreational maths with 135048140591442
- 135048140591442 backwards is 244195041840531
- The number of decimal digits it has is: 15
- The sum of 135048140591442's digits is 51
- More coming soon!
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