138131086834048
138,131,086,834,048 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138131086834048 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
138131086834048 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138131086834048:
27 × 7 × 11 × 192 × 29 × 83 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 19 × 19 × 29 × 83 × 127 × 127)See below for interesting mathematical facts about the number 138131086834048 from the Numbermatics database.
Names of 138131086834048
- Cardinal: 138131086834048 can be written as One hundred thirty-eight trillion, one hundred thirty-one billion, eighty-six million, eight hundred thirty-four thousand and forty-eight.
Scientific notation
- Scientific notation: 1.38131086834048 × 1014
Factors of 138131086834048
Divisors of 138131086834048
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 7 8 11 14 16 19 22 28 29 32 38 44 56 58 64 76 77 83 88 112 116 127 128 133 152 154 166 176 203 209 224 232 254 266 304 308 319 332 352 361 406 418 448 464 508 532 551 581 608 616 638 664 704 722 812 836 889 896 913 928 1016 1064 1102 1162 1216 1232 1276 1328 1397 1408 1444 1463 1577 1624 1672 1778 1826 1856 2032 2128 2204 2233 2324 2407 2413 2432 2464 2527 2552 2656 2794 2888 2926 3154 3248 3344 3556 3652 3683 3712 3857 3971 4064 4256 4408 4466 4648 4814 4826 4928 5054 5104 5312 5588 5776 5852 6061 6308 6391 6496 6688 7112 7304 7366 7714 7942 8128 8512 8816 8932 9296 9628 9652 9779 9856 10108 10208 10469 10541 10624 11039 11176 11552 11704 12122 12616 12782 12992 13376 14224 14608 14732 15428 15884 16129 16256 16849 16891 17024 17347 17632 17864 18592 19256 19304 19558 20216 20416 20938 21082 22078 22352 23104 23408 24244 25232 25564 25781 25984 26477 26543 26752 27797 28448 29216 29464 29963 30856 31768 32258 33698 33782 34694 35264 35728 37184 38512 38608 39116 40432 40513 40832 41876 42164 42427 44156 44704 45733 45847 46208 46816 48488 50464 51128 51562 52954 53086 55594 56896 58432 58928 59926 61712 63536 64516 67396 67564 69388 69977 70528 71456 73283 73787 74368 77024 77216 78232 80864 81026 83752 84328 84854 88312 89408 91466 91694 93632 96976 100928 102256 103124 105908 106172 111188 112903 113792 115159 115951 116864 117856 119852 121429 123424 127072 129032 134792 135128 138776 139954 142912 146566 147574 154048 154432 156464 161728 162052 167504 168656 169708 176624 177419 178816 182932 183388 185339 185801 187264 193952 200279 201856 204512 206248 209741 211816 212344 222376 225806 230318 231902 235712 239704 242858 246848 254144 258064 269584 270256 277552 279908 283591 285824 293132 295148 305689 306451 308096 308864 312928 320131 320929 323456 324104 329593 335008 337312 339416 353248 354838 365864 366776 370678 371602 387904 400558 409024 412496 419482 423632 424688 444752 451612 460636 463804 467741 471424 479408 485716 489839 493696 503063 504317 508288 516128 539168 540512 555104 559816 567182 586264 590296 611378 612902 625856 640262 641858 648208 659186 670016 674624 678832 706496 709676 731728 733552 741356 743204 769747 775808 801116 806113 811657 818048 824992 838964 847264 849376 868927 889504 903224 921272 927608 935482 958816 971432 979678 1006126 1008634 1032256 1078336 1081024 1110208 1119632 1134364 1172528 1180592 1222756 1225804 1241933 1251712 1280524 1283716 1296416 1318372 1329563 1338707 1340032 1349248 1357664 1401953 1412992 1419352 1463456 1467104 1482712 1486408 1539494 1602232 1612226 1623314 1649984 1677928 1694528 1698752 1737854 1779008 1806448 1842544 1855216 1870964 1917632 1942864 1959356 2012252 2017268 2064512 2139823 2145157 2156672 2162048 2203069 2220416 2239264 2268728 2307151 2345056 2361184 2445512 2451608 2483866 2561048 2567432 2592832 2636744 2659126 2677414 2715328 2803906 2838704 2926912 2934208 2965424 2972816 3078988 3204464 3224452 3246628 3274187 3299968 3355856 3362579 3370961 3389056 3397504 3475708 3521441 3530219 3558016 3612896 3685088 3710432 3741928 3805301 3835264 3885728 3918712 4024504 4034536 4279646 4290314 4406138 4478528 4537456 4614302 4690112 4722368 4891024 4903216 4967732 5122096 5134864 5145151 5185664 5273488 5318252 5354828 5388229 5430656 5607812 5677408 5808091 5822569 5853824 5868416 5930848 5945632 6082489 6157976 6408928 6448904 6493256 6548374 6711712 6725158 6741922 6951416 7042882 7060438 7225792 7370176 7420864 7483856 7610602 7771456 7837424 8049008 8069072 8559292 8580628 8812276 8887079 8957056 9074912 9228604 9306941 9370949 9380224 9444736 9558197 9782048 9806432 9935464 10244192 10269728 10290302 10546976 10636504 10709656 10776458 11215624 11354816 11616182 11645138 11861696 11891264 12164978 12315952 12817856 12897808 12986512 13096748 13423424 13450316 13483844 13902832 14085764 14120876 14451584 14625193 14725777 14740352 14841728 14967712 15221204 15421483 15542912 15674848 16098016 16138144 17118584 17161256 17624552 17774158 18149824 18457208 18613882 18741898 19116394 19564096 19612864 19870928 20488384 20539456 20580604 21093952 21273008 21419312 21552916 22431248 22709632 23232364 23290276 23538053 23596727 23723392 23782528 24329956 24631904 25435433 25635712 25795616 25973024 26193496 26637107 26846848 26900632 26967688 27805664 28171528 28241752 29250386 29451554 29935424 30442408 30842966 31349696 32196032 32276288 34237168 34322512 35249104 35548316 36016057 36299648 36914416 37227764 37483796 38232788 38822503 39128192 39225728 39741856 40656637 40757983 40976768 41078912 41161208 41858311 42187904 42546016 42838624 43105832 44862496 46464728 46580552 47076106 47193454 48659912 49263808 50870866 51591232 51946048 52386992 53274214 53801264 53935376 55611328 56343056 56483504 58500772 58903108 59870848 60884816 61685932 62209553 62699392 63889001 64048259 64392064 64552576 66907379 68474336 68645024 70498208 71096632 72032114 73828832 74455528 74967592 76465576 77645006 79483712 81313274 81515966 82322416 83716622 85092032 85677248 86211664 89724992 92929456 93161104 94152212 94386908 97319824 97757869 98527616 101741732 102376351 103080439 103182464 103892096 104773984 106548428 107602528 107870752 110353729 111222656 112686112 112967008 117001544 117806216 121769632 123371864 124419106 127778002 128096518 133814758 136948672 137290048 140996416 142193264 144064228 147657664 148911056 149935184 152931152 155290012 158967424 162626548 163031932 164644832 167433244 168854501 170184064 171354496 172423328 178048031 179449984 185858912 186322208 188304424 188773816 194639648 195515738 203483464 204752702 206160878 209547968 213096856 215205056 215741504 220707458 225372224 225934016 234003088 235612432 243539264 246743728 248838212 255556004 256193036 267629516 271757521 273897344 274580096 279789763 281992832 284386528 288128456 293008177 295315328 297822112 299870368 305862304 310580024 325253096 326063864 329289664 334866488 337709002 344846656 356096062 371717824 372644416 376608848 377547632 389279296 391031476 406966928 409505404 412321756 419095936 426193712 427047533 430410112 431483008 441414916 447223007 448337813 450744448 451868032 468006176 471224864 483273227 487078528 493487456 497676424 511112008 512386072 535259032 543515042 559579526 568773056 576256912 586016354 595644224 599740736 611724608 621160048 650506192 652127728 658579328 669732976 675418004 684305083 689693312 712192124 737627557 743435648 745288832 753217696 755095264 772476103 778558592 782062952 813933856 819010808 824643512 852387424 854095066 882829832 894446014 896675626 936012352 942449728 966546454 986974912 995352848 1022224016 1024772144 1070518064 1087030084 1119159052 1137546112 1152513824 1172032708 1181981507 1191288448 1199481472 1213891019 1223449216 1242320096 1301012384 1304255456 1339465952 1350836008 1368610166 1424384248 1475255114 1506435392 1510190528 1544952206 1564125904 1627867712 1638021616 1649287024 1704774848 1708190132 1765659664 1788892028 1793351252 1857399511 1872024704 1884899456 1933092908 1958528341 1973949824 1990705696 2044448032 2049544288 2141036128 2174060168 2238318104 2305027648 2344065416 2363963014 2427782038 2484640192 2602024768 2608510912 2678931904 2701672016 2737220332 2848768496 2950510228 2989332731 3012870784 3020381056 3089904412 3128251808 3255735424 3276043232 3298574048 3382912589 3409549696 3416380264 3531319328 3577784056 3586702504 3714799022 3866185816 3917056682 3981411392 4088896064 4099088576 4282072256 4348120336 4476636208 4610055296 4688130832 4727926028 4855564076 4969280384 5163392899 5204049536 5217021824 5316005497 5357863808 5403344032 5474440664 5697536992 5901020456 5978665462 6179808824 6256503616 6552086464 6597148096 6765825178 6832760528 7062638656 7155568112 7173405008 7429598044 7732371632 7834113364 7962822784 8113903127 8177792128 8198177152 8497237133 8564144512 8696240672 8953272416 9376261664 9455852056 9711128152 10326785798 10632010994 10806688064 10948881328 11395073984 11802040912 11957330924 12359617648 12513007232 13001796577 13104172928 13194296192 13531650356 13665521056 14014923583 14125277312 14311136224 14346810016 14859196088 15464743264 15668226728 16227806254 16994474266 17392481344 17906544832 18752523328 18911704112 19422256304 20653571596 21264021988 21613376128 21897762656 22790147968 23604081824 23914661848 24719235296 26003593154 27063300712 27331042112 28029847166 28622272448 28693620032 29718392176 30929486528 31336453456 32455612508 33988948532 34784962688 35813089664 37212038479 37505046656 37823408224 38844512608 41307143192 42528043976 43795525312 47208163648 47829323696 49438470592 52007186308 54126601424 54662084224 56059694332 56797321889 57244544896 57387240064 59436784352 61858973056 62672906912 64911225016 67977897064 74424076958 75646816448 77689025216 82614286384 85056087952 87591050624 94416327296 95658647392 98104465081 98876941184 104014372616 108253202848 112119388664 113594643778 118873568704 125345813824 129822450032 135955794128 148848153916 151293632896 154164159413 155378050432 165228572768 170112175904 191317294784 196208930162 208028745232 216506405696 224238777328 227189287556 237747137408 250691627648 259644900064 271911588256 297696307832 308328318826 330457145536 340224351808 382634589568 392417860324 416057490464 433012811392 448477554656 454378575112 519289800128 543823176512 595392615664 616656637652 660914291072 680448703616 784835720648 832114980928 896955109312 908757150224 1038579600256 1079149115891 1087646353024 1190785231328 1233313275304 1569671441296 1664229961856 1793910218624 1817514300448 2158298231782 2381570462656 2466626550608 3139342882592 3635028600896 4316596463564 4763140925312 4933253101216 6278685765184 7270057201792 8633192927128 9866506202432 12557371530368 17266385854256 19733012404864 34532771708512 69065543417024 138131086834048
- Sum of all divisors σ(n): 382100262163200
- Sum of proper divisors (its aliquot sum) s(n): 243969175329152
- 138131086834048 is an abundant number, because the sum of its proper divisors (243969175329152) is greater than itself. Its abundance is 105838088495104
Bases of 138131086834048
- Binary: 111110110100001001001100101110011111001100000002
- Hexadecimal: 0x7DA1265CF980
- Base-36: 1CYOJMNTZ4
Squares and roots of 138131086834048
- 138131086834048 squared (1381310868340482) is 19080197149955308727892066304
- 138131086834048 cubed (1381310868340483) is 2635568369331231918574934943236448260718592
-
The
square root of 138131086834048 is 11752918.2262980119 -
The
cube root of 138131086834048 is 51692.8499246319
Scales and comparisons
How big is 138131086834048?- 138,131,086,834,048 seconds is equal to 4,392,141 years, 15 weeks, 1 day, 22 hours, 47 minutes, 28 seconds.
-
To count from 1 to 138,131,086,834,048 would take you about ten million, nine hundred eighty thousand, three hundred fifty-three 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 138131086834048 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138131086834048
- 138131086834048 backwards is 840438680131831
- 138131086834048 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138131086834048's digits is 58
- More coming soon!
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The information we have on file for 138131086834048 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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