138035435349888
138,035,435,349,888 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138035435349888 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
138035435349888 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 138035435349888:
27 × 32 × 192 × 29 × 73 × 83 × 1889
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 19 × 29 × 73 × 83 × 1889)See below for interesting mathematical facts about the number 138035435349888 from the Numbermatics database.
Names of 138035435349888
- Cardinal: 138035435349888 can be written as One hundred thirty-eight trillion, thirty-five billion, four hundred thirty-five million, three hundred forty-nine thousand, eight hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38035435349888 × 1014
Factors of 138035435349888
Divisors of 138035435349888
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 29 32 36 38 48 57 58 64 72 73 76 83 87 96 114 116 128 144 146 152 166 171 174 192 219 228 232 249 261 288 292 304 332 342 348 361 384 438 456 464 498 522 551 576 584 608 657 664 684 696 722 747 876 912 928 996 1044 1083 1102 1152 1168 1216 1314 1328 1368 1387 1392 1444 1494 1577 1653 1752 1824 1856 1889 1992 2088 2117 2166 2204 2336 2407 2432 2628 2656 2736 2774 2784 2888 2988 3154 3249 3306 3504 3648 3712 3778 3984 4161 4176 4234 4332 4408 4672 4731 4814 4959 5256 5312 5472 5548 5568 5667 5776 5976 6059 6308 6351 6498 6612 7008 7221 7296 7556 7968 8322 8352 8468 8664 8816 9344 9462 9628 9918 10469 10512 10624 10944 11096 11136 11334 11552 11952 12118 12483 12616 12702 12996 13224 14016 14193 14442 15112 15936 16644 16704 16936 17001 17328 17632 18177 18924 19053 19256 19836 20938 21024 21663 21888 22192 22668 23104 23904 24236 24966 25232 25404 25992 26353 26448 28032 28386 28884 29963 30224 31407 31872 33288 33408 33872 34002 34656 35264 35891 36354 37848 38106 38512 39672 40223 41876 42048 43326 44384 45336 45733 46208 47808 48472 49932 50464 50808 51984 52706 52896 54531 54781 56772 57768 59926 60448 62814 66576 67744 68004 69312 70528 71782 72708 75696 76212 77024 79059 79344 80446 83752 84096 86652 88768 89889 90672 91466 94221 95616 96944 99864 100928 101616 103968 105412 105792 107673 109062 109562 113544 115121 115536 119852 120669 120896 125628 133152 135488 136008 137199 137897 138624 143564 145416 151392 152424 154048 156787 158118 158688 160892 164343 167504 173304 175711 177536 179778 181344 182932 188442 193888 199728 201856 203232 207936 210824 211584 215346 218124 219124 227088 230242 231072 237177 239704 241338 241792 251256 266304 269667 270976 272016 274398 275794 287128 290832 302784 304848 308096 313574 316236 317376 321784 323019 328686 335008 345363 346608 351422 359556 362007 362688 365864 376884 387776 399456 406464 411597 413691 415872 421648 430692 436248 438248 454176 460484 462144 470361 474354 479408 482676 493029 502512 527133 532608 539334 544032 548796 551588 574256 581664 605568 609696 627148 632472 634752 643568 646038 657372 670016 681929 690726 693216 702844 719112 724014 725376 731728 753768 764237 775552 798912 812928 823194 827382 843296 861384 868927 872496 876496 908352 920968 924288 940722 948708 958816 965352 986058 1005024 1036089 1040839 1054266 1078668 1088064 1097592 1103176 1148512 1163328 1219392 1241073 1254296 1264944 1287136 1292076 1314744 1340032 1363858 1381452 1386432 1405688 1411083 1438224 1448028 1463456 1507536 1528474 1581399 1597824 1646388 1654764 1686592 1722768 1737854 1744992 1752992 1816704 1841936 1881444 1897416 1917632 1930704 1972116 2010048 2045787 2072178 2081678 2108532 2157336 2176128 2187299 2195184 2206352 2292711 2297024 2326656 2438784 2482146 2508592 2529888 2574272 2584152 2606781 2620043 2629488 2727716 2762904 2772864 2811376 2822166 2876448 2896056 2926912 2978953 3015072 3056948 3122517 3162798 3292776 3309528 3338509 3373184 3445536 3475708 3489984 3505984 3683872 3762888 3794832 3835264 3861408 3944232 3999013 4020096 4091574 4144356 4163356 4217064 4314672 4374598 4390368 4412704 4546823 4585422 4594048 4964292 5017184 5059776 5148544 5168304 5213562 5240086 5258976 5455432 5525808 5622752 5644332 5752896 5792112 5853824 5957906 6030144 6113896 6137361 6245034 6325596 6561897 6585552 6619056 6677018 6878133 6891072 6951416 6979968 7011968 7367744 7525776 7589664 7722816 7820343 7860129 7888464 7998026 8183148 8288712 8326712 8434128 8629344 8749196 8780736 8825408 8936859 9093646 9170844 9367551 9928584 10015527 10034368 10119552 10336608 10427124 10480172 10517952 10910864 11051616 11245504 11288664 11445451 11505792 11584224 11915812 11997039 12060288 12227792 12274722 12490068 12651192 13123794 13171104 13238112 13354036 13640469 13756266 13782144 13902832 14735488 15051552 15179328 15445632 15640686 15720258 15776928 15996052 16366296 16577424 16653424 16868256 17258688 17498392 17561472 17650816 17873718 18187292 18341688 18735102 19685691 19775941 19857168 20031054 20068736 20673216 20854248 20960344 21035904 21821728 22103232 22491008 22577328 22890902 23168448 23580387 23831624 23994078 24455584 24549444 24980136 25302384 26247588 26342208 26476224 26708072 26810577 27280938 27512532 27805664 30046581 30103104 30358656 31281372 31440516 31553856 31992104 32732592 33154848 33306848 33736512 34336353 34517376 34996784 35747436 35991117 36374584 36683376 37470204 39371382 39551882 39714336 40062108 40921407 41346432 41708496 41920688 43643456 44206464 45154656 45781804 46336896 47160774 47663248 47988156 48911168 49098888 49780817 49960272 50604768 52495176 52684416 52952448 53416144 53621154 54561876 55025064 55611328 56600107 59327823 60093162 60206208 62562744 62881032 63107712 63431671 63984208 65465184 66309696 66613696 67473024 68672706 69993568 71494872 71982234 72749168 73366752 74940408 75981247 78742764 79103764 79428672 80124216 81842814 83416992 83841376 86389637 87286912 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2029813472 2037603852 2073351288 2197526592 2283540156 2303431488 2389479216 2431399904 2519768448 2531320448 2609562828 2618970048 2655344632 2716805136 2735324892 2764468384 2847735504 2887287386 2987262711 3018289536 3044720208 3110026932 3185972288 3282806206 3296289888 3431753856 3479417104 3584218824 3622406848 3647099856 3796980672 3845962368 3914344242 3983016948 4059626944 4075207704 4131807811 4146702576 4330931079 4395053184 4567080312 4606862976 4778958432 4862799808 4924209309 5219125656 5237940096 5310689264 5433610272 5470649784 5528936768 5695471008 5774574772 5974525422 6089440416 6220053864 6306443501 6371944576 6565612412 6592579776 6958834208 7168437648 7244813696 7294199712 7593961344 7828688484 7966033896 8119253888 8150415408 8263615622 8293405152 8661862158 9134160624 9557916864 9725599616 9848418618 10438251312 10621378528 10867220544 10941299568 11057873536 11390942016 11549149544 11949050844 12178880832 12395423433 12440107728 12612887002 12992793237 13131224824 13185159552 13917668416 14336875296 14588399424 14772627927 15657376968 15932067792 16300830816 16527231244 16586810304 17323724316 18268321248 18919330503 19115833728 19696837236 20876502624 21242757056 21734441088 21882599136 22781884032 23098299088 23898101688 24357761664 24790846866 24880215456 25225774004 25985586474 26262449648 27835336832 28673750592 29176798848 29545255854 31314753936 31864135584 32601661632 33054462488 33173620608 34647448632 36536642496 37186270299 37838661006 39393674472 41753005248 42485514112 43765198272 46196598176 47796203376 49581693732 49760430912 50451548008 51971172948 52524899296 56757991509 57347501184 59090511708 62629507872 63728271168 65203323264 66108924976 69294897264 73073284992 74372540598 75677322012 78787348944 83506010496 87530396544 92393196352 95592406752 99163387464 99520861824 100903096016 103942345896 105049798592 113515983018 118181023416 119822426519 125259015744 127456542336 132217849952 138589794528 148745081196 151354644024 157574697888 184786392704 191184813504 198326774928 201806192032 207884691792 210099597184 227031966036 236362046832 239644853038 250518031488 264435699904 277179589056 297490162392 302709288048 315149395776 359467279557 382369627008 396653549856 403612384064 415769383584 454063932072 472724093664 479289706076 528871399808 554359178112 594980324784 605418576096 630298791552 718934559114 793307099712 807224768128 831538767168 908127864144 945448187328 958579412152 1078401838671 1189960649568 1210837152192 1437869118228 1586614199424 1663077534336 1816255728288 1890896374656 1917158824304 2156803677342 2379921299136 2421674304384 2875738236456 3632511456576 3834317648608 4313607354684 4759842598272 5751476472912 7265022913152 7668635297216 8627214709368 11502952945824 15337270594432 17254429418736 23005905891648 34508858837472 46011811783296 69017717674944 138035435349888
- Sum of all divisors σ(n): 445146100308000
- Sum of proper divisors (its aliquot sum) s(n): 307110664958112
- 138035435349888 is an abundant number, because the sum of its proper divisors (307110664958112) is greater than itself. Its abundance is 169075229608224
Bases of 138035435349888
- Binary: 111110110001010111000010001011100100111100000002
- Hexadecimal: 0x7D8AE1172780
- Base-36: 1CXGLQ8KG0
Squares and roots of 138035435349888
- 138035435349888 squared (1380354353498882) is 19053781412233109684981612544
- 138035435349888 cubed (1380354353498883) is 2630097012299201087532568135971343089795072
-
The
square root of 138035435349888 is 11748848.2563138077 -
The
cube root of 138035435349888 is 51680.9152721409
Scales and comparisons
How big is 138035435349888?- 138,035,435,349,888 seconds is equal to 4,389,099 years, 45 weeks, 2 days, 14 hours, 4 minutes, 48 seconds.
-
To count from 1 to 138,035,435,349,888 would take you about ten million, nine hundred seventy-two thousand, seven hundred forty-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 138035435349888 cubic inches would be around 4306.7 feet tall.
Recreational maths with 138035435349888
- 138035435349888 backwards is 888943534530831
- 138035435349888 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138035435349888's digits is 72
- More coming soon!
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The information we have on file for 138035435349888 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 138035435349888, math, Factors of 138035435349888, curriculum, school, college, exams, university, Prime factorization of 138035435349888, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, thirty-five billion, four hundred thirty-five million, three hundred forty-nine thousand, eight hundred eighty-eight.