138391766116032
138,391,766,116,032 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138391766116032 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1344 divisors.
138391766116032 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138391766116032:
26 × 3 × 11 × 13 × 31 × 37 × 612 × 1181
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 31 × 37 × 61 × 61 × 1181)See below for interesting mathematical facts about the number 138391766116032 from the Numbermatics database.
Names of 138391766116032
- Cardinal: 138391766116032 can be written as One hundred thirty-eight trillion, three hundred ninety-one billion, seven hundred sixty-six million, one hundred sixteen thousand and thirty-two.
Scientific notation
- Scientific notation: 1.38391766116032 × 1014
Factors of 138391766116032
Divisors of 138391766116032
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 31 32 33 37 39 44 48 52 61 62 64 66 74 78 88 93 96 104 111 122 124 132 143 148 156 176 183 186 192 208 222 244 248 264 286 296 312 341 352 366 372 403 407 416 429 444 481 488 496 528 572 592 624 671 682 704 732 744 793 806 814 832 858 888 962 976 992 1023 1056 1144 1147 1181 1184 1209 1221 1248 1342 1364 1443 1464 1488 1586 1612 1628 1716 1776 1891 1924 1952 1984 2013 2046 2112 2257 2288 2294 2362 2368 2379 2418 2442 2496 2684 2728 2886 2928 2976 3172 3224 3256 3432 3441 3543 3552 3721 3782 3848 3904 4026 4092 4433 4514 4576 4588 4724 4758 4836 4884 5291 5368 5456 5673 5772 5856 5952 6344 6448 6512 6771 6864 6882 7086 7104 7442 7564 7696 8052 8184 8723 8866 9028 9152 9176 9448 9516 9672 9768 10582 10736 10912 11163 11346 11544 11712 12617 12688 12896 12991 13024 13299 13542 13728 13764 14172 14884 14911 15128 15353 15392 15873 16104 16368 17446 17732 18056 18352 18896 19032 19344 19536 20801 21164 21472 21824 22326 22692 23088 24583 24827 25234 25376 25792 25982 26048 26169 26598 27084 27456 27528 28344 29341 29768 29822 30256 30706 30784 31746 32208 32736 34892 35464 36112 36611 36704 37792 37851 38064 38688 38973 39072 40931 41602 42328 42944 43697 44652 44733 45384 46059 46176 48373 49166 49654 50468 50752 51964 52338 53196 54168 55056 56688 58682 59536 59644 60512 61412 62403 63492 64416 65472 69784 69967 70928 72041 72224 73222 73408 73749 74481 75584 75702 76128 77376 77946 78144 81862 83204 84656 87394 88023 89304 89466 90768 92118 92352 96746 98332 99308 100936 103928 104676 106392 108336 109833 110112 113376 115351 117364 119072 119288 121024 122793 122824 124806 126984 128832 131091 137677 139568 139934 141856 144082 144448 145119 146444 147498 148962 151404 152256 155892 163724 164021 166408 168883 169312 174788 176046 178608 178932 181536 184236 193492 196664 198616 201872 207856 209352 209901 212784 216123 216672 219666 220224 226752 230702 234728 238144 238576 245586 245648 249612 253968 262182 270413 275354 279136 279868 283712 288164 290238 292888 294996 297924 302808 311784 322751 327448 328042 332816 337766 338624 346053 349576 352092 357216 357864 363072 368472 386984 393328 397232 402721 403744 413031 415712 418704 419802 425568 432246 433344 439332 461404 469456 475943 477152 480667 491172 491296 492063 499224 506649 507936 524364 532103 540826 550708 558272 559736 568061 576328 580476 585776 589992 595848 605616 623568 645502 654896 656084 665632 675532 692106 699152 704184 714432 715728 736944 769637 773968 786656 792451 794464 805442 807488 811239 826062 831424 837408 839604 851136 864492 878664 909571 922808 936533 938912 951886 954304 961334 968253 982344 982592 984126 998448 1013298 1015872 1048728 1064206 1081652 1101416 1119472 1136122 1152656 1160952 1171552 1179984 1191696 1208163 1211232 1247136 1268861 1291004 1309792 1312168 1331264 1351064 1354607 1384212 1398304 1408368 1427829 1431456 1442001 1473888 1499563 1514447 1539274 1547936 1573312 1584902 1588928 1596309 1610884 1622478 1652124 1674816 1679208 1704183 1728984 1757328 1789801 1819142 1845616 1873066 1877824 1903772 1922668 1936506 1964688 1968252 1996896 2026596 2097456 2128412 2163304 2202832 2233271 2238944 2272244 2305312 2308911 2321904 2343104 2359968 2377353 2383392 2416326 2422464 2494272 2537722 2582008 2619584 2624336 2665517 2702128 2709214 2728713 2768424 2796608 2809599 2816736 2855658 2862912 2884002 2947776 2999126 3028894 3078548 3095872 3169804 3192618 3221768 3244956 3304248 3358416 3408366 3457968 3514656 3579602 3638284 3691232 3746132 3806583 3807544 3845336 3873012 3929376 3936504 3993792 4053192 4063821 4194912 4256824 4267987 4326608 4394501 4405664 4466542 4477888 4498689 4543341 4544488 4610624 4617822 4643808 4719936 4754706 4766784 4832652 5075444 5164016 5235373 5248672 5331034 5369403 5404256 5418428 5457426 5536848 5619198 5633472 5711316 5768004 5998252 6057788 6157096 6248671 6339608 6385236 6443536 6489912 6608496 6699813 6716832 6816732 6915936 7029312 7159204 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1634754372 1663282608 1690549536 1770983903 1775482592 1788561907 1817882594 1828112416 1830966423 1858081472 1876523968 1885240929 1890029856 1916146518 1921013952 1951158444 1977957696 1983144648 2113754981 2148406702 2179672496 2217710144 2253497136 2287013586 2320296528 2324505612 2358334176 2441288564 2513654572 2554862024 2601544592 2644192864 2663223888 2726823891 2742168624 2787122208 2814785952 2860929984 2997049682 3004662848 3049351448 3093728704 3099340816 3167077056 3222610053 3269508744 3326565216 3381099072 3541967806 3550965184 3577123814 3635765188 3656224832 3661932846 3770481858 3780059712 3832293036 3902316888 3966289296 4227509962 4296813404 4359344992 4495574523 4506994272 4574027172 4640593056 4649011224 4716668352 4882577128 5027309144 5040492647 5109724048 5203089184 5288385728 5312951709 5326447776 5365685721 5453647782 5484337248 5574244416 5629571904 5994099364 6098702896 6198681632 6341264943 6445220106 6539017488 6653130432 7083935612 7154247628 7271530376 7323865692 7540963716 7664586072 7804633776 7932578592 8455019924 8593626808 8718689984 8991149046 9013988544 9148054344 9281186112 9298022448 9765154256 10054618288 10080985294 10219448096 10406178368 10625903418 10652895552 10731371442 10907295564 10968674496 11816236861 11988198728 12197405792 12397363264 12682529886 12890440212 13078034976 14167871224 14308495256 14543060752 14647731384 15081927432 15121477941 15329172144 15609267552 15865157184 16910039848 17187253616 17982298092 18296108688 18596044896 19480822933 19530308512 20109236576 20161970588 20438896192 21251806836 21462742884 21814591128 23251304791 23632473722 23976397456 24394811584 25365059772 25780880424 26156069952 28335742448 28616990512 29086121504 29295462768 30163854864 30242955882 30658344288 31218535104 33820079696 34374507232 35448710583 35964596184 36592217376 37192089792 38961645866 39060617024 40218473152 40323941176 42503613672 42925485768 43629182256 46502609582 47264947444 47952794912 50730119544 51561760848 55445419117 56671484896 57233981024 58172243008 58442468799 58590925536 60327709728 60485911764 61316688576 65526404411 67640159392 68749014464 69753914373 70897421166 71929192368 73184434752 77923291732 80647882352 85007227344 85850971536 87258364512 93005219164 94529894888 95905589824 101460239088 103123521696 110890838234 113342969792 114467962048 116884937598 117181851072 120655419456 120971823528 131052808822 135280318784 139507828746 141794842332 143858384736 155846583464 161295764704 166336257351 170014454688 171701943072 174516729024 186010438328 189059789776 196579213233 202920478176 206247043392 221781676468 233769875196 241943647056 262105617644 279015657492 283589684664 287716769472 311693166928 322591529408 332672514702 340028909376 343403886144 372020876656 378119579552 393158426466 405840956352 443563352936 467539750392 483887294112 524211235288 558031314984 567179369328 623386333856 665345029404 720790448521 744041753312 756239159104 786316852932 887126705872 935079500784 967774588224 1048422470576 1116062629968 1134358738656 1246772667712 1330690058808 1441580897042 1488083506624 1572633705864 1774253411744 1870159001568 2096844941152 2162371345563 2232125259936 2268717477312 2661380117616 2883161794084 3145267411728 3548506823488 3740318003136 4193689882304 4324742691126 4464250519872 5322760235232 5766323588168 6290534823456 8649485382252 10645520470464 11532647176336 12581069646912 17298970764504 23065294352672 34597941529008 46130588705344 69195883058016 138391766116032
- Sum of all divisors σ(n): 464045309005824
- Sum of proper divisors (its aliquot sum) s(n): 325653542889792
- 138391766116032 is an abundant number, because the sum of its proper divisors (325653542889792) is greater than itself. Its abundance is 187261776773760
Bases of 138391766116032
- Binary: 111110111011101110110000000111100100110110000002
- Hexadecimal: 0x7DDDD80F26C0
- Base-36: 1D20ASDJ9C
Squares and roots of 138391766116032
- 138391766116032 squared (1383917661160322) is 19152280928714502798487425024
- 138391766116032 cubed (1383917661160323) is 2650517982875197612815218066578045284384768
-
The
square root of 138391766116032 is 11764002.9801097891 -
The
cube root of 138391766116032 is 51725.3475262665
Scales and comparisons
How big is 138391766116032?- 138,391,766,116,032 seconds is equal to 4,400,430 years, 4 weeks, 4 days, 6 hours, 27 minutes, 12 seconds.
-
To count from 1 to 138,391,766,116,032 would take you about eleven million, one thousand and seventy-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 138391766116032 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138391766116032
- 138391766116032 backwards is 230611667193831
- The number of decimal digits it has is: 15
- The sum of 138391766116032's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 138391766116032 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 138391766116032 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138391766116032/
Chicago style:
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The information we have on file for 138391766116032 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 138391766116032, math, Factors of 138391766116032, curriculum, school, college, exams, university, Prime factorization of 138391766116032, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred ninety-one billion, seven hundred sixty-six million, one hundred sixteen thousand and thirty-two.