138634863801984
138,634,863,801,984 is an even composite number composed of eight prime numbers multiplied together.
138634863801984 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138634863801984:
27 × 32 × 11 × 17 × 29 × 79 × 257 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 17 × 29 × 79 × 257 × 1093)See below for interesting mathematical facts about the number 138634863801984 from the Numbermatics database.
Names of 138634863801984
- Cardinal: 138634863801984 can be written as One hundred thirty-eight trillion, six hundred thirty-four billion, eight hundred sixty-three million, eight hundred one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38634863801984 × 1014
Factors of 138634863801984
Divisors of 138634863801984
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 29 32 33 34 36 44 48 51 58 64 66 68 72 79 87 88 96 99 102 116 128 132 136 144 153 158 174 176 187 192 198 204 232 237 257 261 264 272 288 306 316 319 348 352 374 384 396 408 464 474 493 514 522 528 544 561 576 612 632 638 696 704 711 748 771 792 816 869 928 948 957 986 1028 1044 1056 1088 1093 1122 1152 1224 1264 1276 1343 1392 1408 1422 1479 1496 1542 1584 1632 1683 1738 1856 1896 1914 1972 2056 2088 2112 2176 2186 2244 2291 2313 2448 2528 2552 2607 2686 2784 2827 2844 2871 2958 2992 3084 3168 3264 3279 3366 3476 3712 3792 3828 3944 4029 4112 4176 4224 4369 4372 4437 4488 4582 4626 4896 5056 5104 5214 5372 5423 5568 5654 5688 5742 5916 5984 6168 6336 6528 6558 6732 6873 6952 7453 7584 7656 7821 7888 8058 8224 8352 8481 8738 8744 8874 8976 9164 9252 9792 9837 10112 10208 10428 10744 10846 11136 11308 11376 11484 11832 11968 12023 12087 12336 12672 13107 13116 13464 13746 13904 14773 14906 15168 15312 15642 15776 16116 16269 16448 16704 16962 17476 17488 17748 17952 18328 18504 18581 19584 19674 20303 20416 20619 20856 21488 21692 22359 22616 22752 22968 23664 23936 24046 24174 24672 25201 25443 26214 26232 26928 27492 27808 29546 29812 30336 30624 31284 31552 31697 32232 32538 32896 33408 33924 34952 34976 35496 35904 36069 36656 37008 37162 38947 39321 39348 40606 40832 41238 41712 42976 43384 44319 44718 45232 45504 45936 47328 48059 48092 48348 48807 49344 50402 50886 52428 52464 53856 54984 55616 55743 59092 59624 60909 61248 62568 63104 63394 64464 65076 67077 67848 69904 69952 70992 71808 72138 73312 74016 74324 75603 77894 78642 78696 81212 81983 82476 83424 85952 86347 86768 88638 89436 90464 91008 91872 94656 95091 96118 96184 96696 97614 98688 100804 101772 104856 104928 107712 108207 109968 111232 111486 116841 118184 119248 121818 122496 125136 126701 126788 128928 130152 132957 134154 135696 139808 139904 141984 144177 144276 146624 148032 148648 151206 155788 157284 157392 162424 163966 164952 166848 167229 171904 172694 173536 177276 178872 180928 182727 183744 189312 190182 192236 192368 193392 195228 201608 203544 204391 209712 209856 215424 216414 219936 222972 223333 226809 233682 236368 238496 243636 245949 250272 253402 253576 257856 259041 260304 265914 268308 271392 279616 280901 283968 285273 288354 288552 293248 296064 297296 302412 311576 314568 314784 324848 327932 329904 333696 334458 345151 345388 347072 348667 350523 354552 357744 361856 365454 367488 380103 380364 384472 384736 386784 390456 403216 407088 408782 419424 419712 428417 432531 432828 439872 445944 446666 453618 467364 472736 476992 487272 491898 500544 506804 507152 515712 518082 520608 531828 536616 538849 542784 559232 561802 567936 570546 576708 577104 588787 594592 604824 613173 623152 629136 629568 649696 655864 659808 668916 669999 690302 690776 694144 697334 701046 709104 715488 730908 737847 760206 760728 768944 769472 773568 777123 780912 806432 814176 817564 838848 842703 856834 865062 865656 879744 891888 893332 907236 934728 945472 949817 953984 974544 983796 1001088 1013608 1014304 1035453 1036164 1041216 1046001 1063656 1073232 1077698 1085568 1123604 1140309 1141092 1153416 1154208 1177574 1189184 1209648 1226346 1246304 1258272 1259136 1285251 1299392 1311728 1319616 1337832 1339998 1380604 1381552 1393711 1394668 1402092 1418208 1430976 1461816 1467899 1475694 1520412 1521456 1537888 1538944 1547136 1554246 1561824 1612864 1616547 1628352 1635128 1677696 1685406 1713668 1730124 1731312 1766361 1783776 1786664 1814472 1839519 1869456 1890944 1899634 1949088 1967592 2009997 2027216 2028608 2070906 2072328 2082432 2092002 2127312 2146464 2155396 2247208 2280618 2282184 2306832 2308416 2355148 2378368 2419296 2452692 2492608 2504063 2516544 2528109 2570502 2598784 2623456 2639232 2675664 2679996 2761208 2763104 2787422 2789336 2804184 2836416 2849451 2861952 2923632 2935798 2951388 3040824 3042912 3075776 3089911 3106359 3108492 3123648 3138003 3225728 3233094 3256704 3270256 3370812 3427336 3460248 3462624 3532722 3567552 3573328 3628944 3679038 3738912 3796661 3799268 3855753 3898176 3935184 4019994 4054432 4057216 4141812 4144656 4181133 4184004 4254624 4292928 4310792 4403697 4494416 4561236 4564368 4613664 4616832 4710296 4775317 4838592 4849641 4905384 4985216 5008126 5033088 5056218 5141004 5246912 5299083 5351328 5359992 5522416 5526208 5574844 5578672 5608368 5672832 5698902 5847264 5871596 5902776 5927339 6081648 6085824 6151552 6179822 6212718 6216984 6247296 6276006 6466188 6476657 6540512 6741624 6854672 6920496 6925248 7065444 7135104 7146656 7257888 7358076 7477824 7512189 7593322 7598536 7711506 7796352 7870368 8039988 8108864 8146129 8283624 8289312 8362266 8368008 8509248 8548353 8585856 8621584 8807394 8988832 9122472 9128736 9227328 9269733 9420592 9550634 9677184 9699282 9810768 10009379 10016252 10112436 10282008 10493824 10598166 10702656 10719984 11044832 11052416 11149688 11157344 11216736 11389983 11397804 11694528 11743192 11805552 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116579826 117729216 120112548 120195024 121493152 121576576 123384096 127707213 128639808 129175112 130338064 132537984 133147074 133796256 133888128 136679796 136773648 138484193 140918304 142256136 145322001 145959552 146630322 148315728 152810144 155188512 155439768 157585461 160150064 160260032 161798976 164512128 165268158 169570656 170276284 171911412 177529432 178395008 179214838 180168822 180292536 182239728 182364864 187891072 189674848 193762668 195507096 197754304 198806976 199720611 200694384 200832192 206918016 207253024 210113948 211377456 213384204 220206338 220357544 222473592 226094208 229215216 233159652 235458432 240225096 240390048 242986304 244102969 246768192 247902237 255414426 257279616 258350224 260676128 266294148 267592512 268822257 273359592 273547296 276968386 281836608 284512272 290644002 293260644 296631456 305620288 310377024 310879536 315170922 320300128 320520064 323597952 330309507 330536316 339141312 340552568 343822824 355058864 358429676 360337644 360585072 364479456 364729728 377250043 379349696 383121639 387525336 391014192 395508608 397613952 399441222 401388768 401664384 414506048 415452579 420227896 422754912 426768408 440412676 440715088 444947184 458430432 466319304 468259781 472756383 480450192 480780096 485972608 488205938 493536384 495804474 510828852 516700448 521352256 532588296 535185024 537644514 546719184 547094592 553936772 563673216 569024544 581288004 586521288 593262912 611240576 620754048 621759072 630341844 640600256 643544191 660619014 661072632 678282624 681105136 687645648 710117728 716859352 720675288 721170144 728958912 732308907 754500086 758699392 766243278 775050672 782028384 798882444 802777536 806466771 829012096 830905158 840455792 845509824 853536816 880825352 881430176 889894368 916860864 932638608 936519562 945512766 960900384 961560192 976411876 990928521 991608948 1021657704 1033400896 1042704512 1065176592 1075289028 1093438368 1094189184 1107873544 1131750129 1138049088 1162576008 1173042576 1186525824 1243518144 1246357737 1260683688 1281200512 1287088382 1321238028 1322145264 1362210272 1375291296 1404779343 1420235456 1433718704 1441350576 1442340288 1457917824 1464617814 1509000172 1523326123 1532486556 1550101344 1564056768 1597764888 1605555072 1612933542 1661810316 1680911584 1691019648 1707073632 1761650704 1762860352 1779788736 1833721728 1865277216 1873039124 1891025532 1921800768 1930632573 1952823752 1981857042 1983217896 2043315408 2066801792 2130353184 2150578056 2186876736 2196926721 2215747088 2263500258 2276098176 2325152016 2346085152 2487036288 2492715474 2521367376 2574176764 2642476056 2644290528 2724420544 2750582592 2809558686 2840470912 2867437408 2882701152 2884680576 2929235628 3018000344 3046652246 3064973112 3100202688 3128113536 3195529776 3225867084 3323620632 3361823168 3395250387 3414147264 3523301408 3525720704 3559577472 3730554432 3746078248 3782051064 3843601536 3861265146 3905647504 3963714084 3966435792 4086630816 4149750473 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18279913476 18601216128 19941723792 20170939008 20593414112 21139808448 21236958303 21880502494 22476469488 23167590876 23433885024 24144002752 24373217968 24519784896 24898502838 25564238208 25806936672 26588965056 27162003096 27419870214 28315944404 29968625984 30256408512 30890121168 31245180032 31709712672 31731486336 32820753741 33198003784 33714704232 34409248896 35150827536 36216004128 36559826952 37347754257 39883447584 41186828224 42279616896 42473916606 43761004988 44952938976 46335181752 46867770048 48288005504 48746435936 49039569792 49797005676 51613873344 53177930112 54324006192 54839740428 56631888808 59937251968 60512817024 61780242336 63419425344 63710874909 65641507482 66396007568 67429408464 70301655072 72432008256 73119653904 74695508514 79766895168 82373656448 84947833212 87522009976 89905877952 92670363504 93735540096 97492871872 98462261223 99594011352 103227746688 108648012384 109679480856 113263777616 120342763717 123560484672 126838850688 127421749818 131283014964 132792015136 134858816928 140603310144 144864016512 146239307808 149391017028 159533790336 169895666424 175044019952 179811755904 185340727008 194985743744 196924522446 199188022704 217296024768 219358961712 226527555232 240685527434 247120969344 254843499636 262566029928 265584030272 269717633856 281206620288 292478615616 298782034056 339791332848 350088039904 361028291151 370681454016 393849044892 398376045408 434592049536 438717923424 453055110464 481371054868 509686999272 525132059856 531168060544 539435267712 584957231232 597564068112 679582665696 700176079808 722056582302 741362908032 787698089784 796752090816 877435846848 906110220928 962742109736 1019373998544 1050264119712 1083084873453 1195128136224 1359165331392 1400352159616 1444113164604 1575396179568 1593504181632 1754871693696 1925484219472 2038747997088 2100528239424 2166169746906 2390256272448 2718330662784 2888226329208 3150792359136 3850968438944 4077495994176 4201056478848 4332339493812 4780512544896 5776452658416 6301584718272 7701936877888 8154991988352 8664678987624 11552905316832 12603169436544 15403873755776 17329357975248 23105810633664 34658715950496 46211621267328 69317431900992 138634863801984
- Sum of all divisors σ(n): 485048932992000
- Sum of proper divisors (its aliquot sum) s(n): 346414069190016
- 138634863801984 is an abundant number, because the sum of its proper divisors (346414069190016) is greater than itself. Its abundance is 207779205388032
Bases of 138634863801984
- Binary: 111111000010110011100011100111101110110100000002
- Hexadecimal: 0x7E1671CF7680
- Base-36: 1D53Z6GM80
Squares and roots of 138634863801984
- 138634863801984 squared (1386348638019842) is 19219625461394653579562336256
- 138634863801984 cubed (1386348638019843) is 2664510158165591693966213943162213607931904
-
The
square root of 138634863801984 is 11774330.7156705939 -
The
cube root of 138634863801984 is 51755.6165641295
Scales and comparisons
How big is 138634863801984?- 138,634,863,801,984 seconds is equal to 4,408,159 years, 43 weeks, 5 days, 21 hours, 26 minutes, 24 seconds.
-
To count from 1 to 138,634,863,801,984 would take you about eleven million, twenty thousand, three hundred ninety-nine 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 138634863801984 cubic inches would be around 4313 feet tall.
Recreational maths with 138634863801984
- 138634863801984 backwards is 489108368436831
- 138634863801984 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138634863801984's digits is 72
- More coming soon!
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"Number 138634863801984 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 138634863801984 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138634863801984/
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The information we have on file for 138634863801984 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 138634863801984, math, Factors of 138634863801984, curriculum, school, college, exams, university, Prime factorization of 138634863801984, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, six hundred thirty-four billion, eight hundred sixty-three million, eight hundred one thousand, nine hundred eighty-four.