138477684053124
138,477,684,053,124 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138477684053124 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 972 divisors.
138477684053124 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138477684053124:
22 × 32 × 132 × 172 × 29 × 61 × 2112
(2 × 2 × 3 × 3 × 13 × 13 × 17 × 17 × 29 × 61 × 211 × 211)See below for interesting mathematical facts about the number 138477684053124 from the Numbermatics database.
Names of 138477684053124
- Cardinal: 138477684053124 can be written as One hundred thirty-eight trillion, four hundred seventy-seven billion, six hundred eighty-four million, fifty-three thousand, one hundred twenty-four.
Scientific notation
- Scientific notation: 1.38477684053124 × 1014
Factors of 138477684053124
Divisors of 138477684053124
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 9 12 13 17 18 26 29 34 36 39 51 52 58 61 68 78 87 102 116 117 122 153 156 169 174 183 204 211 221 234 244 261 289 306 338 348 366 377 422 442 468 493 507 522 549 578 612 633 663 676 732 754 793 844 867 884 986 1014 1037 1044 1098 1131 1156 1266 1326 1479 1508 1521 1586 1734 1769 1899 1972 1989 2028 2074 2196 2262 2379 2532 2601 2652 2743 2873 2958 3042 3111 3172 3393 3468 3538 3587 3757 3798 3978 4148 4437 4524 4758 4901 5202 5307 5486 5746 5916 6084 6119 6222 6409 6786 7076 7137 7174 7514 7596 7956 8229 8381 8619 8874 9333 9516 9802 10309 10404 10614 10761 10972 11271 11492 12238 12444 12818 12871 13481 13572 14274 14348 14703 15028 15921 16458 16762 17238 17629 17748 18357 18666 19227 19604 20618 21228 21522 22542 22997 24476 24687 25143 25636 25742 25857 26962 28548 29406 30073 30927 31842 32283 32916 33524 33813 34476 35258 35659 36714 37332 38454 38613 40443 41236 43044 44109 44521 45084 45994 46631 48841 49374 50286 51484 51714 52887 53924 55071 57681 58812 60146 60979 61854 63684 64566 67626 68991 70516 71318 73428 75429 76908 77226 79547 80886 83317 88218 89042 90219 91988 92781 93262 97682 98748 100572 103428 104023 105774 106977 108953 110142 115362 115839 120292 121329 121958 123708 129132 133563 135252 137982 139893 142636 146523 150858 154452 158661 159094 161772 166634 167323 175253 176436 178084 180438 182937 185562 186524 195364 206973 208046 211548 213954 217906 218807 220284 229177 230724 231678 238641 242658 243916 249951 267126 270657 275964 279786 293046 298961 301716 312069 317322 318188 320931 326859 333268 334646 350506 360876 365874 371124 373259 390949 400689 413946 416092 419679 427908 435812 437614 439569 458354 463356 477282 485316 499902 501969 511241 525759 534252 541314 548811 559572 578773 586092 597922 606203 624138 634644 641862 653718 656421 669292 687531 701012 715923 731748 746518 749853 756857 781898 792727 801378 827892 839358 875228 879138 896883 916708 936207 954564 980577 999804 1003938 1022482 1034111 1051518 1082628 1097622 1119777 1157546 1172847 1195844 1212406 1248276 1283724 1291109 1307436 1312842 1352299 1375062 1416389 1431846 1493036 1499706 1505907 1513714 1533723 1563796 1577277 1585454 1602756 1678716 1736319 1758276 1768391 1793766 1818609 1872414 1961154 1969263 2007876 2044964 2062593 2068222 2103036 2175199 2195244 2239554 2270571 2315092 2345694 2378181 2424812 2582218 2625684 2690649 2704598 2715781 2750124 2832778 2844491 2863692 2979301 2999412 3011814 3027428 3067446 3102333 3154554 3170908 3359331 3472638 3518541 3536782 3587532 3637218 3719719 3744828 3873327 3922308 3938526 4056897 4125186 4136444 4249167 4350398 4479108 4541142 4601169 4691388 4756362 4852367 5082337 5164436 5208957 5305173 5381298 5409196 5431562 5455827 5665556 5688982 5958602 6023628 6134892 6204666 6309108 6345403 6525597 6646133 6718662 6811713 6945276 7037082 7073564 7134543 7274436 7439438 7524049 7746654 7877052 8113794 8147343 8250372 8498334 8533473 8700796 8937903 9082284 9202338 9306999 9512724 9704734 9839141 10164674 10305451 10417914 10610346 10762596 10863124 10911654 11159157 11377964 11619981 11917204 12170691 12409332 12690806 12747501 12866569 13051194 13292266 13437324 13623426 14074164 14269086 14557101 14878876 15048098 15247011 15493308 15915519 16227588 16294686 16784417 16996668 17066946 17579887 17875806 18404676 18613998 19036209 19409468 19576791 19678282 19938399 20329348 20610902 20835828 21220692 21823308 21948853 22318314 22572147 22989083 23239962 24341382 24442029 25381612 25495002 25600419 25733138 26102388 26584532 26813709 27246852 28538172 29114202 29517423 30096196 30494022 30916353 31831038 32589372 33477471 33568834 34133892 35159774 35305153 35751612 36978383 37227996 38072418 38599707 39153582 39356564 39876798 41221804 43671303 43897706 44636628 45144294 45741033 45978166 46168277 46479924 48356347 48682764 48884058 50353251 50990004 51200838 51466276 52739661 53627418 57108627 58228404 59034846 59815197 60988044 61832706 63080771 63662076 65846559 66954942 67137668 67716441 68967249 70319548 70610306 73956766 76144836 77199414 78307164 78757649 79753596 82490239 86399729 87342606 87795412 88552269 90288588 91482066 91956332 92336554 92749059 96712694 97768116 100706502 102401676 105479322 105915459 107254836 107871851 110935149 114217254 115799121 118069692 119630394 123665412 126161542 127908833 131693118 133909884 135432882 137934498 138504831 141220612 145069041 147913532 151059753 154398828 157515298 158218983 164980478 167265397 172799458 174685212 177104538 182964132 184673108 185498118 189242313 193425388 197539677 201413004 206901747 210958644 211830918 215743702 218197421 221870298 228434508 231598242 236272947 239260788 247470717 252323084 255817666 259199187 263386236 270865764 275868996 277009662 285335089 290138082 298858079 302119506 315030596 316437966 317746377 323615553 329960956 332805447 334530794 345598916 354209076 370996236 373130501 378484626 383726499 395079354 413803494 415514493 423661836 431487404 435207123 436394842 443740596 458966989 463196484 472545894 494941434 501796191 511635332 518398374 554019324 567726939 570670178 580276164 597716158 600187601 604239012 628632511 632875932 635492754 647231106 654592263 665610894 669061588 708818841 742412151 746261002 756969252 767452998 777597561 784860709 790158708 827606988 831028986 856005267 870414246 872789684 896574237 917933978 945091788 970846659 989882868 1003592382 1023849437 1036796748 1072373107 1119391503 1135453878 1141340356 1151179497 1195432316 1200375202 1257265022 1270985508 1294462212 1309184526 1331221788 1338880033 1376900967 1402334063 1417637682 1484824302 1492522004 1505388573 1534905996 1555195122 1569721418 1662057972 1712010534 1740828492 1793148474 1800562803 1835867956 1885897533 1941693318 1963776789 2007184764 2047698874 2144746214 2174450161 2238783006 2270907756 2302358994 2354582127 2400750404 2514530044 2568015801 2618369052 2677760066 2689722711 2753801934 2804668126 2835275364 2969648604 3010777146 3071548311 3110390244 3139442836 3217119321 3358174509 3424021068 3586296948 3601125606 3709356157 3771795066 3883386636 3927553578 4016640099 4095397748 4130702901 4207002189 4289492428 4348900322 4477566012 4604717988 4709164254 4850696513 5136031602 5355520132 5379445422 5401688409 5507603868 5609336252 5657692599 6021554292 6143096622 6434238642 6523350483 6716349018 7063746381 7202251212 7418712314 7543590132 7802438813 7855107156 8033280198 8261405802 8414004378 8697800644 9214644933 9418328508 9651357963 9701393026 10203189217 10272063204 10758890844 10803376818 11128068471 11315385198 12049920297 12286193244 12621006567 12868477284 13046700966 13310042681 13432698036 14127492762 14552089539 14837424628 15604877626 16066560396 16522811604 16828008756 17405440429 18230342819 18429289866 19302715926 19402786052 19570051449 20406378434 21606753636 22256136942 22630770396 22760960561 23407316439 24099840594 25242013134 26093401932 26620085362 28254985524 29104179078 30609567651 31209755252 33384205413 34810880858 36460685638 36858579732 38605431852 39140102898 39930128043 40812756868 43656268617 44512273884 45521921122 46814632878 48199681188 50484026268 52216321287 53240170724 54691028457 58208358156 61219135302 63059054669 66768410826 68282881683 69621761716 70221949317 72921371276 78280205796 79860256086 87312537234 91043842244 91828702953 93629265756 104432642574 109382056914 119790384129 122438270604 126118109338 132641459821 133536821652 136565763366 140443898634 156648963861 159720512172 164073085371 174625074468 183657405906 189177164007 204848645049 208865285148 218764113828 226270725577 239580768258 252236218676 265282919642 273131526732 280887797268 295892487293 313297927722 328146170742 367314811812 378354328014 397924379463 409697290098 452541451154 479161536516 530565839284 567531492021 591784974586 626595855444 656292341484 678812176731 756708656028 795848758926 819394580196 887677461879 905082902308 1135062984042 1183569949172 1193773138389 1357624353462 1591697517852 1775354923758 2036436530193 2270125968084 2387546276778 2663032385637 2715248706924 3550709847516 3846602334809 4072873060386 4775092553556 5326064771274 7693204669618 8145746120772 10652129542548 11539807004427 15386409339236 23079614008854 34619421013281 46159228017708 69238842026562 138477684053124
- Sum of all divisors σ(n): 425374867351980
- Sum of proper divisors (its aliquot sum) s(n): 286897183298856
- 138477684053124 is an abundant number, because the sum of its proper divisors (286897183298856) is greater than itself. Its abundance is 148419499245732
Bases of 138477684053124
- Binary: 111110111110001110110010010101011010100100001002
- Hexadecimal: 0x7DF1D92AD484
- Base-36: 1D33RPP3T0
Squares and roots of 138477684053124
- 138477684053124 squared (1384776840531242) is 19176068980716832972454159376
- 138477684053124 cubed (1384776840531243) is 2655457621692617178371888821384019946690624
-
The
square root of 138477684053124 is 11767654.1440137507 -
The
cube root of 138477684053124 is 51736.0495497337
Scales and comparisons
How big is 138477684053124?- 138,477,684,053,124 seconds is equal to 4,403,162 years, 4 days, 20 hours, 5 minutes, 24 seconds.
-
To count from 1 to 138,477,684,053,124 would take you about eleven million, seven thousand, nine hundred five 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 138477684053124 cubic inches would be around 4311.3 feet tall.
Recreational maths with 138477684053124
- 138477684053124 backwards is 421350486774831
- The number of decimal digits it has is: 15
- The sum of 138477684053124's digits is 63
- More coming soon!
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The information we have on file for 138477684053124 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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