138509246840832
138,509,246,840,832 is an even composite number composed of five prime numbers multiplied together.
What does the number 138509246840832 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
138509246840832 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138509246840832:
214 × 33 × 7 × 31 × 1133
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 31 × 113 × 113 × 113)See below for interesting mathematical facts about the number 138509246840832 from the Numbermatics database.
Names of 138509246840832
- Cardinal: 138509246840832 can be written as One hundred thirty-eight trillion, five hundred nine billion, two hundred forty-six million, eight hundred forty thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 1.38509246840832 × 1014
Factors of 138509246840832
Divisors of 138509246840832
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 54 56 62 63 64 72 84 93 96 108 112 113 124 126 128 144 168 186 189 192 216 217 224 226 248 252 256 279 288 336 339 372 378 384 432 434 448 452 496 504 512 558 576 651 672 678 744 756 768 791 837 864 868 896 904 992 1008 1017 1024 1116 1152 1302 1344 1356 1488 1512 1536 1582 1674 1728 1736 1792 1808 1953 1984 2016 2034 2048 2232 2304 2373 2604 2688 2712 2976 3024 3051 3072 3164 3348 3456 3472 3503 3584 3616 3906 3968 4032 4068 4096 4464 4608 4746 5208 5376 5424 5859 5952 6048 6102 6144 6328 6696 6912 6944 7006 7119 7168 7232 7812 7936 8064 8136 8192 8928 9216 9492 10416 10509 10752 10848 11718 11904 12096 12204 12288 12656 12769 13392 13824 13888 14012 14238 14336 14464 15624 15872 16128 16272 16384 17856 18432 18984 20832 21018 21357 21504 21696 23436 23808 24192 24408 24521 24576 25312 25538 26784 27648 27776 28024 28476 28672 28928 31248 31527 31744 32256 32544 35712 36864 37968 38307 41664 42036 42714 43008 43392 46872 47616 48384 48816 49042 49152 50624 51076 53568 55296 55552 56048 56952 57344 57856 62496 63054 63488 64512 65088 71424 73563 73728 75936 76614 83328 84072 85428 86016 86784 89383 93744 94581 95232 96768 97632 98084 101248 102152 107136 110592 111104 112096 113904 114688 114921 115712 124992 126108 126976 129024 130176 142848 147126 147456 151872 153228 166656 168144 170856 172032 173568 178766 187488 189162 190464 193536 195264 196168 202496 204304 214272 220689 221184 222208 224192 227808 229842 231424 249984 252216 253952 258048 260352 268149 285696 294252 303744 306456 333312 336288 341712 344064 344763 347136 357532 374976 378324 380928 387072 390528 392336 395839 404992 408608 428544 441378 442368 444416 448384 455616 459684 462848 499968 504432 507904 516096 520704 536298 571392 588504 607488 612912 662067 666624 672576 683424 689526 694272 715064 749952 756648 761856 774144 781056 784672 791678 804447 809984 817216 857088 882756 888832 896768 911232 919368 925696 999936 1008864 1032192 1041408 1072596 1142784 1177008 1187517 1214976 1225824 1324134 1333248 1345152 1366848 1379052 1388544 1430128 1442897 1499904 1513296 1523712 1548288 1562112 1569344 1583356 1608894 1619968 1634432 1714176 1765512 1777664 1793536 1822464 1838736 1851392 1999872 2017728 2082816 2145192 2285568 2354016 2375034 2413341 2429952 2451648 2648268 2666496 2690304 2733696 2758104 2770873 2777088 2860256 2885794 2999808 3026592 3096576 3124224 3138688 3166712 3217788 3239936 3268864 3428352 3531024 3555328 3562551 3587072 3644928 3677472 3999744 4035456 4165632 4290384 4328691 4571136 4708032 4750068 4826682 4859904 4903296 5296536 5332992 5380608 5467392 5516208 5541746 5554176 5720512 5771588 5999616 6053184 6248448 6277376 6333424 6435576 6479872 6537728 6856704 7062048 7125102 7174144 7289856 7354944 7999488 8070912 8312619 8331264 8580768 8657382 9416064 9500136 9653364 9719808 9806592 10100279 10593072 10665984 10687653 10761216 10934784 11032416 11083492 11441024 11543176 11999232 12106368 12496896 12554752 12666848 12871152 12959744 12986073 13075456 13713408 14124096 14250204 14348288 14579712 14709888 15998976 16141824 16625238 16662528 17161536 17314764 18832128 19000272 19306728 19439616 19613184 20200558 21186144 21375306 21522432 21869568 22064832 22166984 22882048 23086352 23998464 24212736 24937857 24993792 25109504 25333696 25742304 25972146 26150912 28248192 28500408 28696576 29159424 29419776 30300837 31997952 32283648 33250476 34323072 34629528 37664256 38000544 38613456 38879232 38958219 39226368 40401116 42372288 42750612 43044864 43739136 44129664 44333968 44729807 45764096 46172704 47996928 48425472 49875714 49987584 50219008 50667392 51484608 51944292 52301824 56496384 57000816 57393152 58318848 58839552 60601674 64567296 66500952 68646144 69259056 74813571 75328512 76001088 77226912 77916438 78452736 80802232 84744576 85501224 86089728 87478272 88259328 88667936 89459614 90902511 91528192 92345408 95993856 96850944 99751428 100438016 101334784 102969216 103888584 104603648 112992768 114001632 116637696 117679104 121203348 129134592 133001904 134189421 137292288 138518112 149627142 150657024 152002176 154453824 155832876 156905472 161604464 169489152 171002448 172179456 174956544 176518656 177335872 178919228 181805022 183056384 184690816 193701888 199502856 200876032 202669568 205938432 207777168 209207296 225985536 228003264 235358208 242406696 258269184 266003808 268378842 272707533 274584576 277036224 299254284 301314048 304004352 308907648 311665752 313108649 313810944 323208928 338978304 342004896 349913088 353037312 354671744 357838456 363610044 366112768 369381632 387403776 399005712 401752064 402568263 405339136 411876864 415554336 451971072 456006528 470716416 484813392 516538368 532007616 536757684 545415066 549169152 554072448 598508568 602628096 608008704 617815296 623331504 626217298 627621888 646417856 677956608 684009792 706074624 709343488 715676912 727220088 732225536 738763264 774807552 798011424 805136526 810678272 823753728 831108672 903942144 912013056 939325947 941432832 969626784 1064015232 1073515368 1090830132 1098338304 1108144896 1197017136 1205256192 1207704789 1216017408 1235630592 1246663008 1252434596 1292835712 1355913216 1368019584 1412149248 1418686976 1431353824 1454440176 1464451072 1477526528 1549615104 1596022848 1610273052 1621356544 1647507456 1662217344 1807884288 1824026112 1878651894 1882865664 1939253568 2128030464 2147030736 2181660264 2196676608 2216289792 2394034272 2415409578 2432034816 2471261184 2493326016 2504869192 2585671424 2711826432 2736039168 2817977841 2824298496 2837373952 2862707648 2908880352 2955053056 3192045696 3220546104 3242713088 3295014912 3324434688 3615768576 3648052224 3757303788 3878507136 4256060928 4294061472 4363320528 4393353216 4432579584 4788068544 4830819156 4864069632 4942522368 4986652032 5009738384 5171342848 5423652864 5472078336 5635955682 5648596992 5674747904 5725415296 5817760704 5910106112 6384091392 6441092208 6485426176 6590029824 6648869376 7296104448 7514607576 7757014272 8453933523 8512121856 8588122944 8726641056 8865159168 9576137088 9661638312 9728139264 9885044736 9973304064 10019476768 10342685696 10847305728 10944156672 11271911364 11349495808 11450830592 11635521408 11820212224 12768182784 12882184416 13180059648 13297738752 14592208896 15029215152 15514028544 16907867046 17024243712 17176245888 17453282112 17730318336 19152274176 19323276624 19456278528 19770089472 19946608128 20038953536 20685371392 21888313344 22543822728 22698991616 22901661184 23271042816 23640424448 25536365568 25764368832 26595477504 29184417792 30058430304 31028057088 33815734092 34048487424 34352491776 34906564224 35460636672 38304548352 38646553248 39540178944 39893216256 40077907072 41370742784 43776626688 45087645456 45397983232 45803322368 46542085632 51072731136 51528737664 53190955008 58368835584 60116860608 62056114176 67631468184 68096974848 68704983552 69813128448 70921273344 76609096704 77293106496 79786432512 80155814144 82741485568 87553253376 90175290912 91606644736 93084171264 102145462272 103057475328 106381910016 120233721216 124112228352 135262936368 136193949696 137409967104 139626256896 153218193408 154586212992 159572865024 160311628288 165482971136 175106506752 180350581824 183213289472 186168342528 204290924544 206114950656 212763820032 240467442432 248224456704 270525872736 274819934208 279252513792 306436386816 309172425984 319145730048 320623256576 360701163648 366426578944 372336685056 408581849088 412229901312 480934884864 496448913408 541051745472 549639868416 558505027584 612872773632 618344851968 638291460096 641246513152 721402327296 732853157888 744673370112 824459802624 961869769728 1082103490944 1099279736832 1117010055168 1225745547264 1236689703936 1282493026304 1442804654592 1489346740224 1648919605248 1923739539456 2164206981888 2198559473664 2234020110336 2473379407872 2564986052608 2885609309184 3297839210496 3847479078912 4328413963776 4468040220672 4946758815744 5129972105216 5771218618368 6595678420992 7694958157824 8656827927552 9893517631488 11542437236736 15389916315648 17313655855104 19787035262976 23084874473472 34627311710208 46169748946944 69254623420416 138509246840832
- Sum of all divisors σ(n): 488463802982400
- Sum of proper divisors (its aliquot sum) s(n): 349954556141568
- 138509246840832 is an abundant number, because the sum of its proper divisors (349954556141568) is greater than itself. Its abundance is 211445309300736
Bases of 138509246840832
- Binary: 111110111111001001100100111010011000000000000002
- Hexadecimal: 0x7DF93274C000
- Base-36: 1D3I9PD6O0
Squares and roots of 138509246840832
- 138509246840832 squared (1385092468408322) is 19184811460414529372342452224
- 138509246840832 cubed (1385092468408323) is 2657273786165378700691275872542711892410368
-
The
square root of 138509246840832 is 11768995.1500046087 -
The
cube root of 138509246840832 is 51739.9799300747
Scales and comparisons
How big is 138509246840832?- 138,509,246,840,832 seconds is equal to 4,404,165 years, 31 weeks, 5 days, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 138,509,246,840,832 would take you about eleven million, ten thousand, four hundred fourteen 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 138509246840832 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138509246840832
- 138509246840832 backwards is 238048642905831
- 138509246840832 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138509246840832's digits is 63
- More coming soon!
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The information we have on file for 138509246840832 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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