138038693989344624
138,038,693,989,344,624 is an even composite number composed of six prime numbers multiplied together.
What does the number 138038693989344624 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 540 divisors.
138038693989344624 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 138038693989344624:
24 × 32 × 72 × 47 × 313 × 364672
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 47 × 313 × 36467 × 36467)See below for interesting mathematical facts about the number 138038693989344624 from the Numbermatics database.
Names of 138038693989344624
- Cardinal: 138038693989344624 can be written as One hundred thirty-eight quadrillion, thirty-eight trillion, six hundred ninety-three billion, nine hundred eighty-nine million, three hundred forty-four thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.38038693989344624 × 1017
Factors of 138038693989344624
Divisors of 138038693989344624
- Number of divisors d(n): 540
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 49 56 63 72 84 94 98 112 126 141 144 147 168 188 196 252 282 294 313 329 336 376 392 423 441 504 564 588 626 658 752 784 846 882 939 987 1008 1128 1176 1252 1316 1692 1764 1878 1974 2191 2256 2303 2352 2504 2632 2817 2961 3384 3528 3756 3948 4382 4606 5008 5264 5634 5922 6573 6768 6909 7056 7512 7896 8764 9212 11268 11844 13146 13818 14711 15024 15337 15792 17528 18424 19719 20727 22536 23688 26292 27636 29422 30674 35056 36467 36848 39438 41454 44133 45072 46011 47376 52584 55272 58844 61348 72934 78876 82908 88266 92022 102977 105168 109401 110544 117688 122696 132399 138033 145868 157752 165816 176532 184044 205954 218802 235376 245392 255269 264798 276066 291736 308931 315504 328203 331632 353064 368088 411908 437604 510538 529596 552132 583472 617862 656406 706128 720839 736176 765807 823816 875208 926793 1021076 1059192 1104264 1235724 1312812 1441678 1531614 1647632 1713949 1750416 1786883 1853586 2042152 2118384 2162517 2208528 2297421 2471448 2625624 2883356 3063228 3427898 3573766 3707172 4084304 4325034 4594842 4942896 5141847 5251248 5360649 5766712 6126456 6487551 6855796 7147532 7414344 8650068 9189684 10283694 10721298 11414171 11533424 11997643 12252912 12975102 13711592 14295064 14828688 15425541 16081947 17300136 18379368 20567388 21442596 22828342 23995286 25950204 27423184 28590128 30851082 32163894 34242513 34600272 35992929 36758736 41134776 42885192 45656684 47990572 51900408 61702164 64327788 68485026 71985858 79899197 82269552 83983501 85770384 91313368 95981144 102727539 103800816 107978787 123404328 128655576 136970052 143971716 159798394 167967002 182626736 191962288 205455078 215957574 239697591 246808656 251950503 257311152 273940104 287943432 319596788 335934004 410910156 431915148 479395182 503901006 536466037 547880208 559294379 575886864 639193576 671868008 719092773 755851509 821820312 863830296 958790364 1007802012 1072932074 1118588758 1278387152 1329842089 1343736016 1438185546 1511703018 1609398111 1643640624 1677883137 1727660592 1917580728 2015604024 2145864148 2237177516 2659684178 2876371092 3023406036 3218796222 3355766274 3755262259 3835161456 3989526267 4031208048 4291728296 4474355032 4828194333 5033649411 5319368356 5752742184 6046812072 6437592444 6711532548 7510524518 7979052534 8583456592 8948710064 9308894623 9656388666 10067298822 10638736712 11265786777 11505484368 11968578801 12093624144 12875184888 13423065096 15021049036 15958105068 18617789246 19312777332 20134597644 21277473424 22531573554 23937157602 25750369776 26286835813 26846130192 27926683869 30042098072 31916210136 33797360331 37235578492 38625554664 40269195288 45063147108 47874315204 52573671626 55853367738 60084196144 62502578183 63832420272 65162262361 67594720662 74471156984 77251109328 78860507439 80538390576 83780051607 90126294216 95748630408 105147343252 111706735476 125005156366 130324524722 135189441324 148942313968 157721014878 167560103214 180252588432 187507734549 191497260816 195486787083 210294686504 223413470952 236581522317 250010312732 260649049444 270378882648 315442029756 335120206428 375015469098 390973574166 416240573857 420589373008 437518047281 446826941904 473163044634 500020625464 521298098888 540757765296 562523203647 586460361249 630884059512 670240412856 750030938196 781947148332 832481147714 875036094562 946326089268 1000041250928 1042596197776 1125046407294 1172920722498 1248721721571 1261768119024 1312554141843 1340480825712 1500061876392 1563894296664 1664962295428 1750072189124 1892652178536 2250092814588 2345841444996 2497443443142 2625108283686 2913684016999 3000123752784 3062626330967 3127788593328 3329924590856 3500144378248 3746165164713 3785304357072 3937662425529 4500185629176 4691682889992 4994886886284 5250216567372 5827368033998 6125252661934 6659849181712 7000288756496 7492330329426 7875324851058 8741052050997 9000371258352 9187878992901 9383365779984 9989773772568 10500433134744 11654736067996 12250505323868 14984660658852 15750649702116 17482104101994 18375757985802 19563306971279 19979547545136 20395788118993 21000866269488 23309472135992 24501010647736 26223156152991 27563636978703 29969321317704 31501299404232 34964208203988 36751515971604 39126613942558 40791576237986 46618944271984 49002021295472 52446312305982 55127273957406 58689920913837 59938642635408 61187364356979 63002598808464 69928416407976 73503031943208 78253227885116 81583152475972 104892624611964 110254547914812 117379841827674 122374728713958 136943148798953 139856832815952 147006063886416 156506455770232 163166304951944 176069762741511 183562093070937 209785249223928 220509095829624 234759683655348 244749457427916 273886297597906 313012911540464 326332609903888 352139525483022 367124186141874 410829446396859 419570498447856 441018191659248 469519367310696 489498914855832 547772595195812 704279050966044 734248372283748 821658892793718 939038734621392 958602041592671 978997829711664 1095545190391624 1232488339190577 1408558101932088 1468496744567496 1643317785587436 1917204083185342 2191090380783248 2464976678381154 2817116203864176 2875806124778013 2936993489134992 3286635571174872 3834408166370684 4929953356762308 5751612249556026 6573271142349744 7668816332741368 8627418374334039 9859906713524616 11503224499112052 15337632665482736 17254836748668078 19719813427049232 23006448998224104 34509673497336156 46012897996448208 69019346994672312 138038693989344624
- Sum of all divisors σ(n): 460429107096669984
- Sum of proper divisors (its aliquot sum) s(n): 322390413107325360
- 138038693989344624 is an abundant number, because the sum of its proper divisors (322390413107325360) is greater than itself. Its abundance is 184351719117980736
Bases of 138038693989344624
- Binary: 1111010100110100101110101111110000111111001100101011100002
- Hexadecimal: 0x1EA6975F87E6570
- Base-36: 11R6MSKRSL80
Squares and roots of 138038693989344624
- 138038693989344624 squared (1380386939893446242) is 19054681038283927625875649037701376
- 138038693989344624 cubed (1380386939893446243) is 2630283284908242579643409555956162335302197663002624
-
The
square root of 138038693989344624 is 371535589.1288809279 -
The
cube root of 138038693989344624 is 516813.2195067227
Scales and comparisons
How big is 138038693989344624?- 138,038,693,989,344,624 seconds is equal to 4,389,203,487 years, 7 weeks, 4 days, 2 hours, 50 minutes, 24 seconds.
-
To count from 1 to 138,038,693,989,344,624 would take you about thirteen billion, one hundred sixty-seven million, six hundred ten 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 138038693989344624 cubic inches would be around 43067.8 feet tall.
Recreational maths with 138038693989344624
- 138038693989344624 backwards is 426443989396830831
- The number of decimal digits it has is: 18
- The sum of 138038693989344624's digits is 90
- More coming soon!
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The information we have on file for 138038693989344624 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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