138536796993616512
138,536,796,993,616,512 is an even composite number composed of four prime numbers multiplied together.
138536796993616512 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138536796993616512:
27 × 33 × 318 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 31 × 31 × 31 × 31 × 31 × 31 × 31 × 31 × 47)See below for interesting mathematical facts about the number 138536796993616512 from the Numbermatics database.
Names of 138536796993616512
- Cardinal: 138536796993616512 can be written as One hundred thirty-eight quadrillion, five hundred thirty-six trillion, seven hundred ninety-six billion, nine hundred ninety-three million, six hundred sixteen thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.38536796993616512 × 1017
Factors of 138536796993616512
Divisors of 138536796993616512
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 47 48 54 62 64 72 93 94 96 108 124 128 141 144 186 188 192 216 248 279 282 288 372 376 384 423 432 496 558 564 576 744 752 837 846 864 961 992 1116 1128 1152 1269 1457 1488 1504 1674 1692 1728 1922 1984 2232 2256 2538 2883 2914 2976 3008 3348 3384 3456 3844 3968 4371 4464 4512 5076 5766 5828 5952 6016 6696 6768 7688 8649 8742 8928 9024 10152 11532 11656 11904 13113 13392 13536 15376 17298 17484 17856 18048 20304 23064 23312 25947 26226 26784 27072 29791 30752 34596 34968 35712 39339 40608 45167 46128 46624 51894 52452 53568 54144 59582 61504 69192 69936 78678 81216 89373 90334 92256 93248 103788 104904 107136 119164 123008 135501 138384 139872 157356 162432 178746 180668 184512 186496 207576 209808 238328 268119 271002 276768 279744 314712 357492 361336 369024 406503 415152 419616 476656 536238 542004 553536 559488 629424 714984 722672 804357 813006 830304 839232 923521 953312 1072476 1084008 1107072 1219509 1258848 1400177 1429968 1445344 1608714 1626012 1660608 1678464 1847042 1906624 2144952 2168016 2439018 2517696 2770563 2800354 2859936 2890688 3217428 3252024 3321216 3694084 3813248 4200531 4289904 4336032 4878036 5035392 5541126 5600708 5719872 5781376 6434856 6504048 7388168 8311689 8401062 8579808 8672064 9756072 11082252 11201416 11439744 12601593 12869712 13008096 14776336 16623378 16802124 17159616 17344128 19512144 22164504 22402832 24935067 25203186 25739424 26016192 28629151 29552672 33246756 33604248 34319232 37804779 39024288 43405487 44329008 44805664 49870134 50406372 51478848 52032384 57258302 59105344 66493512 67208496 75609558 78048576 85887453 86810974 88658016 89611328 99740268 100812744 102957696 114516604 118210688 130216461 132987024 134416992 151219116 156097152 171774906 173621948 177316032 179222656 199480536 201625488 229033208 257662359 260432922 265974048 268833984 302438232 343549812 347243896 354632064 390649383 398961072 403250976 458066416 515324718 520865844 531948096 537667968 604876464 687099624 694487792 772987077 781298766 797922144 806501952 887503681 916132832 1030649436 1041731688 1063896192 1171948149 1209752928 1345570097 1374199248 1388975584 1545974154 1562597532 1595844288 1613003904 1775007362 1832265664 2061298872 2083463376 2343896298 2419505856 2662511043 2691140194 2748398496 2777951168 3091948308 3125195064 3191688576 3550014724 3664531328 4036710291 4122597744 4166926752 4687792596 4839011712 5325022086 5382280388 5496796992 5555902336 6183896616 6250390128 7100029448 7987533129 8073420582 8245195488 8333853504 9375585192 10650044172 10764560776 10993593984 12110130873 12367793232 12500780256 14200058896 15975066258 16146841164 16490390976 16667707008 18751170384 21300088344 21529121552 23962599387 24220261746 24735586464 25001560512 27512614111 28400117792 31950132516 32293682328 32980781952 36330392619 37502340768 41712673007 42600176688 43058243104 47925198774 48440523492 49471172928 50003121024 55025228222 56800235584 63900265032 64587364656 72660785238 75004681536 82537842333 83425346014 85200353376 86116486208 95850397548 96881046984 98942345856 110050456444 113600471168 125138019021 127800530064 129174729312 145321570476 150009363072 165075684666 166850692028 170400706752 172232972416 191700795096 193762093968 220100912888 247613526999 250276038042 255601060128 258349458624 290643140952 330151369332 333701384056 340801413504 375414057063 383401590192 387524187936 440201825776 495227053998 500552076084 511202120256 516698917248 581286281904 660302738664 667402768112 742840580997 750828114126 766803180384 775048375872 852891037441 880403651552 990454107996 1001104152168 1022404240512 1126242171189 1162572563808 1293092863217 1320605477328 1334805536224 1485681161994 1501656228252 1533606360768 1550096751744 1705782074882 1760807303104 1980908215992 2002208304336 2252484342378 2325145127616 2558673112323 2586185726434 2641210954656 2669611072448 2971362323988 3003312456504 3067212721536 3411564149764 3521614606208 3879278589651 3961816431984 4004416608672 4504968684756 4650290255232 5117346224646 5172371452868 5282421909312 5339222144896 5942724647976 6006624913008 6823128299528 7676019336969 7758557179302 7923632863968 8008833217344 9009937369512 10234692449292 10344742905736 10564843818624 11637835768953 11885449295952 12013249826016 13646256599056 15352038673938 15517114358604 15847265727936 16017666434688 18019874739024 20469384898584 20689485811472 23028058010907 23275671537906 23770898591904 24026499652032 27292513198112 30704077347876 31034228717208 31694531455872 34913507306859 36039749478048 40085878759727 40938769797168 41378971622944 46056116021814 46551343075812 47541797183808 48052999304064 54585026396224 61408154695752 62068457434416 69827014613718 72079498956096 80171757519454 81877539594336 82757943245888 92112232043628 93102686151624 95083594367616 109170052792448 120257636279181 122816309391504 124136914868832 139654029227436 144158997912192 160343515038908 163755079188672 165515886491776 184224464087256 186205372303248 240515272558362 245632618783008 248273829737664 279308058454872 320687030077816 327510158377344 360772908837543 368448928174512 372410744606496 481030545116724 491265237566016 496547659475328 558616116909744 641374060155632 721545817675086 736897856349024 744821489212992 962061090233448 982530475132032 1082318726512629 1117232233819488 1282748120311264 1443091635350172 1473795712698048 1489642978425984 1924122180466896 2164637453025258 2234464467638976 2565496240622528 2886183270700344 2947591425396096 3848244360933792 4329274906050516 4468928935277952 5130992481245056 5772366541400688 7696488721867584 8658549812101032 11544733082801376 15392977443735168 17317099624202064 23089466165602752 34634199248404128 46178932331205504 69268398496808256 138536796993616512
- Sum of all divisors σ(n): 431494633662134400
- Sum of proper divisors (its aliquot sum) s(n): 292957836668517888
- 138536796993616512 is an abundant number, because the sum of its proper divisors (292957836668517888) is greater than itself. Its abundance is 154421039674901376
Bases of 138536796993616512
- Binary: 1111011000010111001111011100111010001111111111010100000002
- Hexadecimal: 0x1EC2E7B9D1FFA80
- Base-36: 11W371XRWDC0
Squares and roots of 138536796993616512
- 138536796993616512 squared (1385367969936165122) is 19192444121250513037624876919046144
- 138536796993616512 cubed (1385367969936165123) is 2658859735037010974100617740914359134646559968329728
-
The
square root of 138536796993616512 is 372205315.6439554559 -
The
cube root of 138536796993616512 is 517434.1014595301
Scales and comparisons
How big is 138536796993616512?- 138,536,796,993,616,512 seconds is equal to 4,405,041,621 years, 49 weeks, 2 days, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 138,536,796,993,616,512 would take you about thirteen billion, two hundred fifteen million, one hundred twenty-four thousand, eight hundred sixty-five 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 138536796993616512 cubic inches would be around 43119.5 feet tall.
Recreational maths with 138536796993616512
- 138536796993616512 backwards is 215616399697635831
- The number of decimal digits it has is: 18
- The sum of 138536796993616512's digits is 90
- 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 138536796993616512 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 138536796993616512 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138536796993616512/
Chicago style:
Numbermatics. 2024. "Number 138536796993616512 - Facts about the integer". https://numbermatics.com/n/138536796993616512/
The information we have on file for 138536796993616512 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 138536796993616512, math, Factors of 138536796993616512, curriculum, school, college, exams, university, Prime factorization of 138536796993616512, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, five hundred thirty-six trillion, seven hundred ninety-six billion, nine hundred ninety-three million, six hundred sixteen thousand, five hundred twelve.