137984359405824
137,984,359,405,824 is an even composite number composed of six prime numbers multiplied together.
What does the number 137984359405824 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
137984359405824 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 137984359405824:
28 × 32 × 172 × 61 × 1372 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 17 × 61 × 137 × 137 × 181)See below for interesting mathematical facts about the number 137984359405824 from the Numbermatics database.
Names of 137984359405824
- Cardinal: 137984359405824 can be written as One hundred thirty-seven trillion, nine hundred eighty-four billion, three hundred fifty-nine million, four hundred five thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.37984359405824 × 1014
Factors of 137984359405824
Divisors of 137984359405824
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 61 64 68 72 96 102 122 128 136 137 144 153 181 183 192 204 244 256 272 274 288 289 306 362 366 384 408 411 488 543 544 548 549 576 578 612 724 732 768 816 822 867 976 1037 1086 1088 1096 1098 1152 1156 1224 1233 1448 1464 1629 1632 1644 1734 1952 2074 2172 2176 2192 2196 2304 2312 2329 2448 2466 2601 2896 2928 3077 3111 3258 3264 3288 3468 3904 4148 4344 4352 4384 4392 4624 4658 4896 4932 5202 5792 5856 6154 6222 6516 6528 6576 6936 6987 7808 8296 8357 8688 8768 8784 9231 9248 9316 9333 9792 9864 10404 11041 11584 11712 12308 12444 13032 13056 13152 13872 13974 15616 16592 16714 17376 17536 17568 17629 18462 18496 18632 18666 18769 19584 19728 20808 20961 22082 23168 23424 24616 24797 24888 25071 26064 26304 27693 27744 27948 33123 33184 33428 34752 35072 35136 35258 36924 36992 37264 37332 37538 39168 39456 39593 41616 41922 44164 46336 46848 49232 49594 49776 50142 52128 52309 52608 52887 55386 55488 55896 56307 66246 66368 66856 69504 70272 70516 73848 73984 74391 74528 74664 75076 75213 78912 79186 83232 83844 88328 98464 99188 99369 99552 100284 104256 104618 105216 105774 110772 110976 111792 112614 118779 132492 132736 133712 139008 140544 141032 142069 147696 148782 149056 149328 150152 150426 156927 157824 158372 158661 166464 167688 168921 176656 187697 196928 198376 198738 199104 200568 208512 209236 211548 221544 221952 223173 223584 225228 237558 264984 265472 267424 282064 284138 295392 297564 298112 298656 300304 300852 313854 315648 316744 317322 319073 332928 335376 337842 353312 356337 375394 393856 396752 397476 398208 401136 417024 418472 421549 423096 426207 443088 446346 447168 450456 470781 475116 529968 534848 563091 564128 568276 590784 595128 596224 597312 600608 601704 627708 633488 634644 638146 665856 670752 675684 706624 712674 750788 787712 793504 794952 796416 802272 836944 843098 846192 852414 886176 892692 894336 900912 941562 950232 957219 1059936 1069696 1126182 1128256 1136552 1144909 1181568 1190256 1194624 1201216 1203408 1255416 1264647 1266976 1269288 1276292 1278621 1341504 1351368 1413248 1425348 1501576 1512617 1587008 1589904 1604544 1673888 1686196 1689273 1692384 1704828 1772352 1785384 1788672 1801824 1883124 1900464 1914438 2119872 2139392 2252364 2256512 2273104 2289818 2363136 2380512 2389248 2402432 2406816 2415173 2510832 2529294 2533952 2538576 2552584 2557242 2683008 2702736 2826496 2850696 2871657 3003152 3025234 3174016 3179808 3190849 3209088 3347776 3372392 3378546 3384768 3397189 3409656 3434727 3544704 3570768 3603648 3766248 3793941 3800928 3828876 4239744 4504728 4513024 4537851 4546208 4579636 4761024 4804864 4813632 4830346 5021664 5058588 5067904 5077152 5105168 5114484 5366016 5405472 5424241 5701392 5743314 6006304 6050468 6348032 6359616 6381698 6418176 6695552 6744784 6757092 6769536 6794378 6819312 6869454 7089408 7141536 7166333 7207296 7245519 7532496 7587882 7601856 7657752 8479488 9009456 9075702 9092416 9159272 9522048 9572547 9627264 9660692 10043328 10117176 10135808 10154304 10191567 10210336 10228968 10304181 10810944 10848482 11402784 11486628 12012608 12100936 12719232 12763396 13391104 13489568 13514184 13539072 13588756 13613553 13638624 13738908 14283072 14332666 14414592 14491038 15064992 15175764 15203712 15315504 16272723 18018912 18151404 18184832 18318544 19044096 19145094 19254528 19321384 19463453 20086656 20234352 20308608 20383134 20420672 20457936 20608362 21498999 21621888 21696964 21736557 22805568 22973256 24025216 24201872 25438464 25526792 25714489 26979136 27028368 27177512 27227106 27277248 27477816 28566144 28665332 28717641 28982076 30129984 30351528 30407424 30574701 30631008 32545446 36037824 36302808 36369664 36637088 38290188 38642768 38926906 40173312 40468704 40617216 40766268 40841344 40915872 41216724 42997998 43243776 43393928 43473114 45611136 45946512 48050432 48403744 48818169 51053584 51428978 53958272 54056736 54355024 54454212 54554496 54955632 57132288 57330664 57435282 57752213 57964152 58390359 60259968 60703056 61149402 61262016 64496997 65090892 72075648 72605616 73274176 76580376 77143467 77285536 77853812 80937408 81532536 81682688 81831744 82433448 85995996 86787856 86946228 91222272 91893024 96807488 97636338 102107168 102857956 107916544 108113472 108710048 108908424 109108992 109911264 114661328 114870564 115504426 115928304 116780718 120519936 121406112 122298804 122524032 128993994 130181784 144151296 145211232 146548352 153160752 154286934 154571072 155707624 161874816 163065072 163663488 164866896 171991992 173256639 173575712 173892456 175171077 183786048 193614976 195272676 204214336 205715912 207228529 216226944 217420096 217816848 219822528 229322656 229741128 231008852 231430401 231856608 233561436 242812224 244597608 245048064 257987988 260363568 290422464 293096704 306321504 308573868 309142144 311415248 323749632 326130144 327326976 329733792 330878701 343983984 346513278 347151424 347784912 350342154 367572096 387229952 390545352 408428672 411431824 414457058 432453888 434840192 435633696 437146313 439645056 458645312 459482256 462017704 462860802 463713216 467122872 485624448 489195216 515975976 519769917 520727136 580844928 612643008 617147736 618284288 621685587 622830496 652260288 659467584 661757402 687967968 693026556 694302848 695569824 700684308 735144192 781090704 816857344 822863648 828914116 869680384 871267392 874292626 879290112 917290624 918964512 924035408 925721604 927426432 934245744 971248896 978390432 981787621 992636103 1031951952 1039539834 1041454272 1161689856 1225286016 1234295472 1243371174 1245660992 1304520576 1311438939 1318935168 1323514804 1375935936 1386053112 1388605696 1391139648 1401368616 1562181408 1645727296 1657828232 1742534784 1748585252 1834581248 1837929024 1848070816 1851443208 1854852864 1865056761 1868491488 1956780864 1963575242 1985272206 2063903904 2079079668 2082908544 2450572032 2468590944 2486742348 2491321984 2609041152 2622877878 2637870336 2647029608 2751871872 2772106224 2782279296 2802737232 2945362863 2977908309 3124362816 3291454592 3315656464 3485069568 3497170504 3522884993 3675858048 3696141632 3702886416 3730113522 3736982976 3913561728 3927150484 3934316817 3970544412 4127807808 4158159336 4165817088 4937181888 4973484696 4982643968 5245755756 5294059216 5503743744 5544212448 5564558592 5605474464 5890725726 5955816618 6248725632 6582909184 6631312928 6994341008 7045769986 7351716096 7392283264 7405772832 7460227044 7473965952 7827123456 7854300968 7868633634 7941088824 8255615616 8316318672 8836088589 9874363776 9946969392 10491511512 10568654979 10588118432 11088424896 11210948928 11781451452 11911633236 12497451264 13262625856 13988682016 14091539972 14784566528 14811545664 14920454088 14947931904 15708601936 15737267268 15882177648 16511231232 16632637344 17672177178 19748727552 19893938784 20983023024 21137309958 21176236864 22176849792 22421897856 23562902904 23823266472 26525251712 27977364032 28183079944 29623091328 29840908176 31417203872 31474534536 31705964937 31764355296 33265274688 35344354356 39787877568 41966046048 42274619916 42352473728 44353699584 44843795712 47125805808 47646532944 53050503424 55954728064 56366159888 59246182656 59681816352 59889044881 62834407744 62949069072 63411929874 63528710592 66530549376 70688708712 79575755136 83932092096 84549239832 84704947456 94251611616 95293065888 111909456128 112732319776 119363632704 119778089762 125668815488 125898138144 126823859748 127057421184 133061098752 141377417424 159151510272 167864184192 169098479664 179667134643 188503223232 190586131776 225464639552 238727265408 239556179524 251337630976 251796276288 253647719496 254114842368 282754834848 335728368384 338196959328 359334269286 377006446464 381172263552 450929279104 477454530816 479112359048 503592552576 507295438992 539001403929 565509669696 676393918656 718668538572 754012892928 762344527104 901858558208 958224718096 1007185105152 1014590877984 1078002807858 1131019339392 1352787837312 1437337077144 1916449436192 2029181755968 2156005615716 2262038678784 2705575674624 2874674154288 3832898872384 4058363511936 4312011231432 5749348308576 7665797744768 8116727023872 8624022462864 11498696617152 15331595489536 17248044925728 22997393234304 34496089851456 45994786468608 68992179702912 137984359405824
- Sum of all divisors σ(n): 435099244913788
- Sum of proper divisors (its aliquot sum) s(n): 297114885507964
- 137984359405824 is an abundant number, because the sum of its proper divisors (297114885507964) is greater than itself. Its abundance is 159130526102140
Bases of 137984359405824
- Binary: 111110101111110111111001011101000011001000000002
- Hexadecimal: 0x7D7EFCBA1900
- Base-36: 1CWT50XTS0
Squares and roots of 137984359405824
- 137984359405824 squared (1379843594058242) is 19039683440635610178325118976
- 137984359405824 cubed (1379843594058243) is 2627178522845779715642573100510709467316224
-
The
square root of 137984359405824 is 11746674.3977103579 -
The
cube root of 137984359405824 is 51674.5401526579
Scales and comparisons
How big is 137984359405824?- 137,984,359,405,824 seconds is equal to 4,387,475 years, 42 weeks, 2 days, 19 hours, 50 minutes, 24 seconds.
-
To count from 1 to 137,984,359,405,824 would take you about ten million, nine hundred sixty-eight thousand, six hundred eighty-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 137984359405824 cubic inches would be around 4306.2 feet tall.
Recreational maths with 137984359405824
- 137984359405824 backwards is 428504953489731
- 137984359405824 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137984359405824's digits is 72
- More coming soon!
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The information we have on file for 137984359405824 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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