138721255146471375
138,721,255,146,471,375 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138721255146471375 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
138721255146471375 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138721255146471375:
33 × 53 × 73 × 172 × 292 × 793
(3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 17 × 17 × 29 × 29 × 79 × 79 × 79)See below for interesting mathematical facts about the number 138721255146471375 from the Numbermatics database.
Names of 138721255146471375
- Cardinal: 138721255146471375 can be written as One hundred thirty-eight quadrillion, seven hundred twenty-one trillion, two hundred fifty-five billion, one hundred forty-six million, four hundred seventy-one thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.38721255146471375 × 1017
Factors of 138721255146471375
Divisors of 138721255146471375
- Number of divisors d(n): 2304
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Complete list of divisors:
1 3 5 7 9 15 17 21 25 27 29 35 45 49 51 63 75 79 85 87 105 119 125 135 145 147 153 175 189 203 225 237 245 255 261 289 315 343 357 375 395 425 435 441 459 493 525 553 595 609 675 711 725 735 765 783 833 841 867 875 945 1015 1029 1071 1125 1185 1225 1275 1305 1323 1343 1421 1445 1479 1575 1659 1715 1785 1827 1975 2023 2125 2133 2175 2205 2291 2295 2465 2499 2523 2601 2625 2765 2975 3045 3087 3213 3375 3451 3555 3625 3675 3825 3871 3915 4029 4165 4205 4263 4335 4437 4725 4977 5075 5145 5355 5481 5831 5887 5925 6069 6125 6241 6375 6525 6615 6715 6873 7105 7225 7395 7497 7569 7803 7875 8295 8381 8575 8925 9135 9261 9401 9875 9947 10115 10353 10665 10875 11025 11455 11475 11613 12087 12325 12495 12615 12789 13005 13311 13825 14161 14297 14875 14931 15225 15435 16037 16065 17255 17493 17661 17775 18207 18375 18723 19125 19355 19575 20145 20619 20825 21025 21315 21675 22185 22491 22707 22831 23625 24157 24885 25143 25375 25725 26775 27097 27405 28203 29155 29435 29625 29841 30345 31059 31205 32625 33075 33575 34365 34839 35525 36125 36261 36975 37485 37845 38367 38947 39015 41209 41475 41905 42483 42875 42891 43687 44625 45675 46305 47005 48111 49735 50575 51765 52479 52983 53325 54621 55125 56169 57275 57375 58065 58667 60435 61625 61857 62475 63075 63945 65025 65807 66439 66555 68493 69125 70805 71485 72471 74655 75429 76125 77175 80185 80325 81291 84609 86275 87465 88305 88875 89523 91035 93177 93615 96775 97875 99127 100079 100725 103095 104125 104517 105125 106097 106575 108375 110925 112259 112455 113535 114155 116841 120785 123627 124425 125715 127449 128625 128673 131061 133875 135485 137025 141015 144333 145775 147175 149205 151725 155295 156025 157437 158949 159817 165375 167875 168507 169099 171825 174195 176001 177625 180989 181305 184875 187425 189225 191835 194735 195075 197421 199317 205479 206045 207375 209525 212415 214455 217413 218435 226287 228375 231525 235025 240555 243049 243873 248675 252875 253827 258825 262395 264915 266625 268569 272629 273105 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3751758083745 3825632363875 3840034744539 3904891066755 3981780623625 4036701735675 4131682952985 4194142256885 4251992494911 4445481658275 4466378671125 4571469933975 4648679841375 4682574013383 4712799563325 4758060543525 4918670182125 5061895827275 5119432230375 5180999258505 5392468615995 5466847493457 5517291299625 5574492873075 5742486862875 5871799159639 6076004342625 6109184619125 6167856260125 6252930139575 6400057907565 6508151777925 6597919388655 6661284760935 6727836226125 6886138254975 7086654158185 7167205122525 7253398961907 7409136097125 7549456062393 7619116556625 7804290022305 7854665938875 7930100905875 8039481608025 8634998764175 8650075147875 8987447693325 9111412489095 9290821455125 9325798665309 9702822630375 9796007001375 10034087171535 10421550232625 10666763179275 10846919629875 10996532314425 11102141268225 11255274251235 11476897091625 11945341870875 12088998269845 12110105207025 12582426770655 12755977484733 13007150037175 13399136013375 13714409801925 13946039524125 14047722040149 14756010546375 14979079488875 15185687481825 15542997775515 16177405847985 16551873898875 16723478619225 17615397478917 17777938632125 18327553857375 18503568780375 18758790418725 19200173722695 19524455333775 20183508678375 20658414764925 20970711284425 21259962474555 21760196885721 22227408291375 22648368187179 22857349669875 23412870066915 23563997816625 23790302717625 25309479136375 25904996292525 26962343079975 27334237467285 27872464365375 29358995798195 31264650697875 32000289537825 32540758889625 32989596943275 33306423804675 34430691274875 35433270790925 35836025612625 36266994809535 37747280311965 38267932454199 39021450111525 40197408040125 41102594117473 43174993820875 44937238466625 45557062445475 46628993326545 50170435857675 52846192436751 53333815896375 54982661572125 55510706341125 56276371256175 60444991349225 60550526035125 62912133853275 63779887423665 65035750185875 65280590657163 68572049009625 70238610200745 75928437409125 77714988877575 80887029239925 83617393096125 88076987394585 93793952093625 96000868613475 97622276668875 103292073824625 104853556422125 106299812372775 108800984428605 113241840935895 117064350334575 123307782352419 129524981462625 134811715399875 136671187336425 146794978990975 158538577310253 160001447689125 164947984716375 166532119023375 177166353954625 181334974047675 188736401559825 191339662270995 195107250557625 205512970587365 227785312227375 233144966632725 250852179288375 264230962183755 281381856280875 302224956746125 314560669266375 318899437118325 326402953285815 351193051003725 369923347057257 388574944387875 404435146199625 440384936972925 480004343067375 531499061863875 544004922143025 566209204679475 585321751672875 616538911762095 683355936682125 733974894954875 792692886551265 906674870238375 943682007799125 956698311354975 1027564852936825 1109770041171771 1165724833163625 1321154810918775 1594497185591625 1632014766429075 1755965255018625 1849616735286285 2201924684864625 2720024610715125 2831046023397375 3082694558810475 3963464432756325 4783491556774875 5137824264684125 5548850205858855 6605774054593875 8160073832145375 9248083676431425 15413472794052375 19817322163781625 27744251029294275 46240418382157125 138721255146471375
- Sum of all divisors σ(n): 333284305336320000
- Sum of proper divisors (its aliquot sum) s(n): 194563050189848625
- 138721255146471375 is an abundant number, because the sum of its proper divisors (194563050189848625) is greater than itself. Its abundance is 55841795043377250
Bases of 138721255146471375
- Binary: 1111011001101011000111111000111111100110100111111110011112
- Hexadecimal: 0x1ECD63F1FCD3FCF
- Base-36: 11XWKWUDJGLR
Squares and roots of 138721255146471375
- 138721255146471375 squared (1387212551464713752) is 19243586629412410944605113694390625
- 138721255146471375 cubed (1387212551464713753) is 2669494490751944152353008124224913795083099630859375
-
The
square root of 138721255146471375 is 372453024.0801803117 -
The
cube root of 138721255146471375 is 517663.6496400767
Scales and comparisons
How big is 138721255146471375?- 138,721,255,146,471,375 seconds is equal to 4,410,906,820 years, 33 weeks, 2 days, 18 hours, 56 minutes, 15 seconds.
-
To count from 1 to 138,721,255,146,471,375 would take you about thirteen billion, two hundred thirty-two million, seven hundred twenty thousand, four hundred sixty-one 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 138721255146471375 cubic inches would be around 43138.6 feet tall.
Recreational maths with 138721255146471375
- 138721255146471375 backwards is 573174641552127831
- The number of decimal digits it has is: 18
- The sum of 138721255146471375's digits is 72
- More coming soon!
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"Number 138721255146471375 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138721255146471375 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138721255146471375/
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Numbermatics. 2024. "Number 138721255146471375 - Facts about the integer". https://numbermatics.com/n/138721255146471375/
The information we have on file for 138721255146471375 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 138721255146471375, math, Factors of 138721255146471375, curriculum, school, college, exams, university, Prime factorization of 138721255146471375, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seven hundred twenty-one trillion, two hundred fifty-five billion, one hundred forty-six million, four hundred seventy-one thousand, three hundred seventy-five.