138541427153070075
138,541,427,153,070,075 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138541427153070075 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
138541427153070075 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138541427153070075:
35 × 52 × 172 × 294 × 31 × 59 × 61
(3 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 17 × 29 × 29 × 29 × 29 × 31 × 59 × 61)See below for interesting mathematical facts about the number 138541427153070075 from the Numbermatics database.
Names of 138541427153070075
- Cardinal: 138541427153070075 can be written as One hundred thirty-eight quadrillion, five hundred forty-one trillion, four hundred twenty-seven billion, one hundred fifty-three million, seventy thousand and seventy-five.
Scientific notation
- Scientific notation: 1.38541427153070075 × 1017
Factors of 138541427153070075
Divisors of 138541427153070075
- Number of divisors d(n): 2160
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Complete list of divisors:
1 3 5 9 15 17 25 27 29 31 45 51 59 61 75 81 85 87 93 135 145 153 155 177 183 225 243 255 261 279 289 295 305 405 425 435 459 465 493 527 531 549 675 725 765 775 783 837 841 867 885 899 915 1003 1037 1215 1275 1305 1377 1395 1445 1475 1479 1525 1581 1593 1647 1711 1769 1829 1891 2025 2175 2295 2325 2349 2465 2511 2523 2601 2635 2655 2697 2745 3009 3111 3599 3825 3915 4131 4185 4205 4335 4425 4437 4495 4575 4743 4779 4941 5015 5133 5185 5307 5487 5673 6075 6525 6885 6975 7047 7225 7395 7533 7569 7803 7905 7965 8091 8235 8381 8555 8845 8959 9027 9145 9333 9455 10797 11475 11745 12325 12555 12615 13005 13175 13275 13311 13485 13725 14229 14297 14337 14823 15045 15283 15399 15555 15921 16461 17019 17051 17629 17995 19575 20655 20925 21025 21675 22185 22475 22707 23409 23715 23895 24273 24389 24705 25075 25143 25665 25925 26071 26535 26877 27081 27435 27999 28365 29087 30073 31093 32147 32391 34425 35235 36975 37665 37845 39015 39525 39825 39933 40455 41175 41905 42687 42775 42891 44225 44795 45135 45725 45849 46197 46665 47275 47763 49383 49619 51057 51153 51301 52887 53041 53985 54839 58725 61183 62775 63075 65025 66555 67425 68121 70227 71145 71485 71685 72819 73167 74115 75225 75429 76415 76995 77775 78213 79605 80631 81243 82305 83997 85095 85255 87261 88145 89975 90219 93279 96441 97173 103275 104371 110925 111569 113535 117045 118575 119475 119799 121365 121945 123525 125715 128061 128325 128673 130355 132675 134385 135405 137175 137547 138591 139995 141825 143289 145435 148149 148857 150365 153171 153459 153903 155465 158661 159123 160735 161955 164517 176175 183549 188325 189225 195075 199665 202275 204363 209525 213435 214455 218457 219501 223975 225675 226287 229245 230985 233325 234639 238815 241893 243049 243729 246915 248095 251991 255285 255765 256505 259811 261783 264435 265205 269925 270657 274195 279837 289323 291519 305915 313113 332775 334707 340605 351135 355725 357425 358425 364095 365835 370575 377145 382075 384975 386019 391065 398025 403155 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17754892625025 18303795369675 18391268704775 18734472907785 19175284035027 19659632063725 19862570201157 20122211641695 21232402628823 22805173193921 24421192870275 25249029916725 26105413068225 26719658081595 26990342324775 27625409203005 28039147369575 28989626941425 29209662060525 30282279159141 30821229622485 31224121512975 31308797096739 31958806725045 32946831665415 33104283668595 33537019402825 35387337714705 36219980955051 38494422659925 44532763469325 46042348671675 50470465265235 51368716037475 52181328494565 52577391708945 53264677875075 54911386109025 55173806114325 56203418723355 58978896191175 59587710603471 60366634925085 63697207886469 68415519581763 73263578610825 75747089750175 78316239204675 80971026974325 84117442108725 86968880824275 87628986181575 90846837477423 93672364538925 93926391290217 95876420175135 99312851005785 100611058208475 106162013144115 108659942865153 114025865969605 133598290407975 138127046015025 151411395795705 154106148112425 156543985483695 159794033625225 164734158327075 165521418342975 176936688573525 178763131810413 181099904775255 191091623659407 205246558745289 252352326326175 260906642472825 262886958544725 281017093616775 297938553017355 301833174625425 318486039432345 325979828595459 342077597908815 454234187387115 469631956451085 479382100875675 496564255028925 530810065720575 543299714325765 570129329848025 615739676235867 757056978978525 782719927418475 893815659052065 905499523876275 955458118297035 1026232793726445 1489692765086775 1592430197161725 1629899142977295 1710387989544075 1847219028707601 2271170936935575 2348159782255425 2716498571628825 3078698381179335 4469078295260325 4777290591485175 5131163968632225 5541657086122803 8149495714886475 9236095143538005 15393491905896675 27708285430614015 46180475717690025 138541427153070075
- Sum of all divisors σ(n): 302083015652920320
- Sum of proper divisors (its aliquot sum) s(n): 163541588499850245
- 138541427153070075 is an abundant number, because the sum of its proper divisors (163541588499850245) is greater than itself. Its abundance is 25000161346780170
Bases of 138541427153070075
- Binary: 1111011000011001010110001101010000010001001100111111110112
- Hexadecimal: 0x1EC32B1A82267FB
- Base-36: 11W4U505AGOR
Squares and roots of 138541427153070075
- 138541427153070075 squared (1385414271530700752) is 19193727037609422266424497860505625
- 138541427153070075 cubed (1385414271530700753) is 2659126336176877266612426208381164098371810556671875
-
The
square root of 138541427153070075 is 372211535.4916745121 -
The
cube root of 138541427153070075 is 517439.8659345243
Scales and comparisons
How big is 138541427153070075?- 138,541,427,153,070,075 seconds is equal to 4,405,188,846 years, 36 weeks, 1 day, 13 hours, 41 minutes, 15 seconds.
-
To count from 1 to 138,541,427,153,070,075 would take you about thirteen billion, two hundred fifteen million, five hundred sixty-six thousand, five hundred forty 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 138541427153070075 cubic inches would be around 43120 feet tall.
Recreational maths with 138541427153070075
- 138541427153070075 backwards is 570070351724145831
- The number of decimal digits it has is: 18
- The sum of 138541427153070075's digits is 63
- More coming soon!
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"Number 138541427153070075 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
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Numbermatics. (2024). Number 138541427153070075 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/138541427153070075/
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The information we have on file for 138541427153070075 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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