31142071873930752
31,142,071,873,930,752 is an even composite number composed of six prime numbers multiplied together.
31142071873930752 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 31142071873930752:
29 × 32 × 7 × 17 × 19 × 2989058879
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 17 × 19 × 2989058879)See below for interesting mathematical facts about the number 31142071873930752 from the Numbermatics database.
Names of 31142071873930752
- Cardinal: 31142071873930752 can be written as Thirty-one quadrillion, one hundred forty-two trillion, seventy-one billion, eight hundred seventy-three million, nine hundred thirty thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 3.1142071873930752 × 1016
Factors of 31142071873930752
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 2989058927
Divisors of 31142071873930752
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 28 32 34 36 38 42 48 51 56 57 63 64 68 72 76 84 96 102 112 114 119 126 128 133 136 144 152 153 168 171 192 204 224 228 238 252 256 266 272 288 304 306 323 336 342 357 384 399 408 448 456 476 504 512 532 544 576 608 612 646 672 684 714 768 798 816 896 912 952 969 1008 1064 1071 1088 1152 1197 1216 1224 1292 1344 1368 1428 1536 1596 1632 1792 1824 1904 1938 2016 2128 2142 2176 2261 2304 2394 2432 2448 2584 2688 2736 2856 2907 3192 3264 3584 3648 3808 3876 4032 4256 4284 4352 4522 4608 4788 4864 4896 5168 5376 5472 5712 5814 6384 6528 6783 7296 7616 7752 8064 8512 8568 8704 9044 9576 9728 9792 10336 10752 10944 11424 11628 12768 13056 13566 14592 15232 15504 16128 17024 17136 18088 19152 19584 20349 20672 21888 22848 23256 25536 26112 27132 29184 30464 31008 32256 34048 34272 36176 38304 39168 40698 41344 43776 45696 46512 51072 54264 60928 62016 68096 68544 72352 76608 78336 81396 82688 87552 91392 93024 102144 108528 124032 137088 144704 153216 162792 165376 182784 186048 204288 217056 248064 274176 289408 306432 325584 372096 434112 496128 548352 578816 612864 651168 744192 868224 1157632 1302336 1488384 1736448 2604672 3472896 5209344 10418688 2989058879 5978117758 8967176637 11956235516 17934353274 20923412153 23912471032 26901529911 35868706548 41846824306 47824942064 50814000943 53803059822 56792118701 62770236459 71737413096 83693648612 95649884128 101628001886 107606119644 113584237402 125540472918 143474826192 152442002829 167387297224 170376356103 188310709377 191299768256 203256003772 215212239288 227168474804 251080945836 286949652384 304884005658 334774594448 340752712206 355698006601 376621418754 382599536512 397544830907 406512007544 430424478576 454336949608 457326008487 502161891672 511129068309 573899304768 609768011316 669549188896 681505424412 711396013202 753242837508 765199073024 795089661814 813024015088 860848957152 908673899216 914652016974 965466017917 1004323783344 1022258136618 1067094019803 1147798609536 1192634492721 1219536022632 1339098377792 1363010848824 1422792026404 1506485675016 1530398146048 1590179323628 1626048030176 1721697914304 1817347798432 1829304033948 1930932035834 2008647566688 2044516273236 2134188039606 2295597219072 2385268985442 2439072045264 2678196755584 2726021697648 2845584052808 2896398053751 3012971350032 3180358647256 3201282059409 3252096060352 3443395828608 3577903478163 3634695596864 3658608067896 3861864071668 4017295133376 4089032546472 4268376079212 4591194438144 4770537970884 4878144090528 5356393511168 5452043395296 5691168105616 5792796107502 6025942700064 6360717294512 6402564118818 6504192120704 6758262125419 6886791657216 7155806956326 7269391193728 7317216135792 7723728143336 8034590266752 8178065092944 8536752158424 8689194161253 9541075941768 9756288181056 10712787022336 10904086790592 11382336211232 11585592215004 12051885400128 12721434589024 12805128237636 13008384241408 13516524250838 13773583314432 14311613912652 14538782387456 14634432271584 15447456286672 16069180533504 16356130185888 17073504316848 17378388322506 19082151883536 19512576362112 20274786376257 21808173581184 22764672422464 23171184430008 24103770800256 25442869178048 25610256475272 26016768482816 27033048501676 28623227825304 29077564774912 29268864543168 30894912573344 32138361067008 32712260371776 34147008633696 34756776645012 38164303767072 39025152724224 40549572752514 43616347162368 45529344844928 46342368860016 48207541600512 50885738356096 51220512950544 54066097003352 57246455650608 58537729086336 60824359128771 61789825146688 65424520743552 68294017267392 69513553290024 76328607534144 78050305448448 81099145505028 87232694324736 91058689689856 92684737720032 96415083201024 101771476712192 102441025901088 108132194006704 114492911301216 117075458172672 121648718257542 123579650293376 130849041487104 136588034534784 139027106580048 152657215068288 162198291010056 182117379379712 185369475440064 203542953424384 204882051802176 216264388013408 228985822602432 234150916345344 243297436515084 247159300586752 261698082974208 273176069069568 278054213160096 305314430136576 324396582020112 370738950880128 409764103604352 432528776026816 457971645204864 486594873030168 494318601173504 546352138139136 556108426320192 610628860273152 648793164040224 741477901760256 819528207208704 865057552053632 915943290409728 973189746060336 1112216852640384 1297586328080448 1482955803520512 1639056414417408 1730115104107264 1831886580819456 1946379492120672 2224433705280768 2595172656160896 3460230208214528 3892758984241344 4448867410561536 5190345312321792 7785517968482688 10380690624643584 15571035936965376 31142071873930752
- Sum of all divisors σ(n): 114484302849945600
- Sum of proper divisors (its aliquot sum) s(n): 83342230976014848
- 31142071873930752 is an abundant number, because the sum of its proper divisors (83342230976014848) is greater than itself. Its abundance is 52200159102084096
Bases of 31142071873930752
- Binary: 11011101010001110001100101000111001110110000110000000002
- Hexadecimal: 0x6EA38CA39D8600
- Base-36: 8IMXYBD9Q80
Squares and roots of 31142071873930752
- 31142071873930752 squared (311420718739307522) is 969828640601068819489743291285504
- 31142071873930752 cubed (311420718739307523) is 30202473230995041044065574769410457678879557419008
-
The
square root of 31142071873930752 is 176471164.4261768677 -
The
cube root of 31142071873930752 is 314617.2284344157
Scales and comparisons
How big is 31142071873930752?- 31,142,071,873,930,752 seconds is equal to 990,221,556 years, 43 weeks, 4 days, 19 minutes, 12 seconds.
-
To count from 1 to 31,142,071,873,930,752 would take you about two billion, nine hundred seventy million, six hundred sixty-four thousand, six hundred seventy 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 31142071873930752 cubic inches would be around 26218.1 feet tall.
Recreational maths with 31142071873930752
- 31142071873930752 backwards is 25703937817024113
- 31142071873930752 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 31142071873930752's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 31142071873930752 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 31142071873930752 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/31142071873930752/
Chicago style:
Numbermatics. 2024. "Number 31142071873930752 - Facts about the integer". https://numbermatics.com/n/31142071873930752/
The information we have on file for 31142071873930752 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 31142071873930752, math, Factors of 31142071873930752, curriculum, school, college, exams, university, Prime factorization of 31142071873930752, STEM, science, technology, engineering, physics, economics, calculator, thirty-one quadrillion, one hundred forty-two trillion, seventy-one billion, eight hundred seventy-three million, nine hundred thirty thousand, seven hundred fifty-two.