138438506812015872
138,438,506,812,015,872 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138438506812015872 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
138438506812015872 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138438506812015872:
28 × 33 × 7 × 11 × 73 × 89 × 607 × 65957
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 73 × 89 × 607 × 65957)See below for interesting mathematical facts about the number 138438506812015872 from the Numbermatics database.
Names of 138438506812015872
- Cardinal: 138438506812015872 can be written as One hundred thirty-eight quadrillion, four hundred thirty-eight trillion, five hundred six billion, eight hundred twelve million, fifteen thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 1.38438506812015872 × 1017
Factors of 138438506812015872
Divisors of 138438506812015872
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 64 66 72 73 77 84 88 89 96 99 108 112 126 128 132 144 146 154 168 176 178 189 192 198 216 219 224 231 252 256 264 267 288 292 297 308 336 352 356 378 384 396 432 438 448 462 504 511 528 534 576 584 594 607 616 623 657 672 693 704 712 756 768 792 801 803 864 876 896 924 979 1008 1022 1056 1068 1152 1168 1188 1214 1232 1246 1314 1344 1386 1408 1424 1512 1533 1584 1602 1606 1728 1752 1792 1821 1848 1869 1958 1971 2016 2044 2079 2112 2136 2304 2336 2376 2403 2409 2428 2464 2492 2628 2688 2772 2816 2848 2937 3024 3066 3168 3204 3212 3456 3504 3642 3696 3738 3916 3942 4032 4088 4158 4224 4249 4272 4599 4672 4752 4806 4818 4856 4928 4984 5256 5376 5463 5544 5607 5621 5696 5874 6048 6132 6336 6408 6424 6497 6677 6853 6912 7008 7227 7284 7392 7476 7832 7884 8064 8176 8316 8448 8498 8544 8811 9198 9344 9504 9612 9636 9712 9856 9968 10512 10926 11088 11214 11242 11392 11748 12096 12264 12672 12747 12816 12848 12994 13354 13706 13797 14016 14454 14568 14784 14952 15664 15768 16128 16352 16389 16632 16821 16863 16996 17088 17622 18396 18688 19008 19224 19272 19424 19491 19712 19936 20031 20559 21024 21681 21852 22176 22428 22484 22784 23496 24192 24528 25344 25494 25632 25696 25988 26433 26708 27412 27594 28032 28908 29136 29568 29904 31328 31536 32704 32778 33264 33642 33726 33992 34176 35244 36792 38016 38241 38448 38544 38848 38982 39872 40062 41118 42048 43362 43704 44311 44352 44856 44968 45479 46739 46992 48384 49056 50589 50988 51264 51392 51976 52866 53416 54023 54824 55188 56064 57816 58272 58473 59136 59808 60093 61677 62656 63072 65408 65556 65957 66528 67284 67452 67984 68352 70488 71467 73584 76032 76482 76896 77088 77696 77964 79744 80124 82236 84096 86724 87408 88622 88704 89712 89936 90958 93478 93984 98112 101178 101976 102528 102784 103952 105732 106832 108046 109648 110376 114723 115632 116544 116946 119616 120186 123354 125312 126144 130816 131112 131914 132933 133056 134568 134904 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14402674449856 14566341204968 14815764855738 15050935726464 15712008490752 16203008756088 16290716264064 16387133855589 16647247091392 16932302692272 17167473562998 17559425014208 17676009552096 18517724292672 18728152977816 19005835641408 19155736379136 19754353140984 20028719156831 20201153773824 20733638881536 21308066309376 21550203426528 21604011674784 21849511807452 22576403589696 22889964750664 23568012736128 24304513134132 24628803916032 24690299056896 24970870637088 25341114188544 25751210344497 26339137521312 27776586439008 28092229466724 28508753462112 28733604568704 28805348899712 29132682409936 29631529711476 30101871452928 32406017512176 32581432528128 32774267711178 33294494182784 33864605384544 34334947125996 35118850028416 35352019104192 37035448585344 37456305955632 38011671282816 39508706281968 40057438313662 43100406853056 43208023349568 43699023614904 45152807179392 45779929501328 47136025472256 48609026268264 49161401566767 49941741274176 51502420688994 52678275042624 55553172878016 56184458933448 57017506924224 57467209137408 57610697799424 58265364819872 59263059422952 60086157470493 64812035024352 65548535422356 66588988365568 67729210769088 68669894251992 70237700056832 70704038208384 74070897170688 74912611911264 76023342565632 77253631033491 79017412563936 80114876627324 86200813706112 86416046699136 87398047229808 90305614358784 91559859002656 97218052536528 98322803133534 99883482548352 103004841377988 105356550085248 111106345756032 112368917866896 114035013848448 116530729639744 118526118845904 120172314940986 129624070048704 131097070844712 135458421538176 137339788503984 141408076416768 149825223822528 154507262066982 158034825127872 160229753254648 172401627412224 172832093398272 174796094459616 180258472411479 183119718005312 194436105073056 196645606267068 199766965096704 206009682755976 210713100170496 222212691512064 224737835733792 228070027696896 233061459279488 237052237691808 240344629881972 259248140097408 262194141689424 270916843076352 274679577007968 299650447645056 309014524133964 316069650255744 320459506509296 349592188919232 360516944822958 366239436010624 388872210146112 393291212534136 412019365511952 449475671467584 466122918558976 474104475383616 480689259763944 518496280194816 524388283378848 540775417234437 549359154015936 599300895290112 618029048267928 632139300511488 640919013018592 699184377838464 721033889645916 732478872021248 777744420292224 786582425068272 824038731023904 898951342935168 948208950767232 961378519527888 1048776566757696 1081550834468874 1098718308031872 1236058096535856 1281838026037184 1398368755676928 1442067779291832 1555488840584448 1573164850136544 1648077462047808 1797902685870336 1896417901534464 1922757039055776 2097553133515392 2163101668937748 2197436616063744 2472116193071712 2563676052074368 2884135558583664 3146329700273088 3296154924095616 3845514078111552 4195106267030784 4326203337875496 4944232386143424 5127352104148736 5768271117167328 6292659400546176 6592309848191232 7691028156223104 8652406675750992 9888464772286848 11536542234334656 12585318801092352 15382056312446208 17304813351501984 19776929544573696 23073084468669312 34609626703003968 46146168937338624 69219253406007936 138438506812015872
- Sum of all divisors σ(n): 524079788669337600
- Sum of proper divisors (its aliquot sum) s(n): 385641281857321728
- 138438506812015872 is an abundant number, because the sum of its proper divisors (385641281857321728) is greater than itself. Its abundance is 247202775045305856
Bases of 138438506812015872
- Binary: 1111010111101010100010110101001011100010000000101000000002
- Hexadecimal: 0x1EBD516A5C40500
- Base-36: 11V4CS1VJUO0
Squares and roots of 138438506812015872
- 138438506812015872 squared (1384385068120158722) is 19165220168340564995304240379920384
- 138438506812015872 cubed (1384385068120158723) is 2653204462828599284212866731295699017304965904334848
-
The
square root of 138438506812015872 is 372073254.6314178063 -
The
cube root of 138438506812015872 is 517311.7014293059
Scales and comparisons
How big is 138438506812015872?- 138,438,506,812,015,872 seconds is equal to 4,401,916,298 years, 10 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 138,438,506,812,015,872 would take you about thirteen billion, two hundred five million, seven hundred forty-eight thousand, eight hundred ninety-four 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 138438506812015872 cubic inches would be around 43109.3 feet tall.
Recreational maths with 138438506812015872
- 138438506812015872 backwards is 278510218605834831
- 138438506812015872 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138438506812015872's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 138438506812015872 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
APA style:
Numbermatics. (2024). Number 138438506812015872 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/138438506812015872/
Chicago style:
Numbermatics. 2024. "Number 138438506812015872 - Facts about the integer". https://numbermatics.com/n/138438506812015872/
The information we have on file for 138438506812015872 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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