138271274738688
138,271,274,738,688 is an even composite number composed of eight prime numbers multiplied together.
138271274738688 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 138271274738688:
210 × 3 × 7 × 13 × 23 × 31 × 37 × 18749
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 23 × 31 × 37 × 18749)See below for interesting mathematical facts about the number 138271274738688 from the Numbermatics database.
Names of 138271274738688
- Cardinal: 138271274738688 can be written as One hundred thirty-eight trillion, two hundred seventy-one billion, two hundred seventy-four million, seven hundred thirty-eight thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38271274738688 × 1014
Factors of 138271274738688
Divisors of 138271274738688
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 31 32 37 39 42 46 48 52 56 62 64 69 74 78 84 91 92 93 96 104 111 112 124 128 138 148 156 161 168 182 184 186 192 208 217 222 224 248 256 259 273 276 296 299 312 322 336 364 368 372 384 403 416 434 444 448 481 483 496 512 518 546 552 592 598 624 644 651 672 713 728 736 744 768 777 806 832 851 868 888 896 897 962 966 992 1024 1036 1092 1104 1147 1184 1196 1209 1248 1288 1302 1344 1426 1443 1456 1472 1488 1536 1554 1612 1664 1702 1736 1776 1792 1794 1924 1932 1984 2072 2093 2139 2184 2208 2294 2368 2392 2418 2496 2553 2576 2604 2688 2821 2852 2886 2912 2944 2976 3072 3108 3224 3328 3367 3404 3441 3472 3552 3584 3588 3848 3864 3968 4144 4186 4278 4368 4416 4588 4736 4784 4836 4991 4992 5106 5152 5208 5376 5642 5704 5772 5824 5888 5952 5957 6216 6279 6448 6656 6734 6808 6882 6944 7104 7168 7176 7696 7728 7936 8029 8288 8372 8463 8556 8736 8832 9176 9269 9472 9568 9672 9982 9984 10101 10212 10304 10416 10752 11063 11284 11408 11544 11648 11776 11904 11914 12432 12558 12896 13312 13468 13616 13764 13888 14208 14352 14911 14973 15392 15456 15872 16058 16576 16744 16926 17112 17472 17664 17871 18352 18538 18749 18944 19136 19344 19964 19968 20202 20424 20608 20832 21504 22126 22568 22816 23088 23296 23552 23808 23828 24087 24864 25116 25792 26381 26936 27232 27528 27776 27807 28416 28704 29822 29946 30784 30912 31744 32116 33152 33189 33488 33852 34224 34944 35328 35742 36704 37076 37498 37888 38272 38688 39928 39936 40404 40848 41216 41664 44252 44733 45136 45632 46176 46592 47616 47656 48174 49728 50232 51584 52762 53872 54464 55056 55552 55614 56247 56832 57408 59644 59892 61568 61824 64232 64883 66304 66378 66976 67704 68448 69888 70656 71484 73408 74152 74996 76544 77376 77441 79143 79856 80808 81696 82432 83328 88504 89466 90272 91264 92352 93184 95232 95312 96348 99456 100464 103168 104377 105524 107744 108928 110112 111104 111228 112494 113664 114816 119288 119784 123136 123648 128464 129766 131243 132608 132756 133952 135408 136896 139776 142968 146816 148304 149992 153088 154752 154882 158286 159712 161616 163392 164864 166656 177008 178932 180544 182528 184667 184704 190624 192696 194649 198912 200928 206336 208754 211048 215488 217856 220224 222208 222456 224988 229632 232323 238576 239568 243737 246272 247296 256928 259532 262486 265216 265512 267904 270816 273792 279552 285936 293632 296608 299984 306176 309504 309764 313131 316572 319424 323232 326784 333312 342953 354016 357864 361088 365056 369334 369408 381248 385392 389298 393729 397824 401856 412672 417508 422096 430976 431227 435712 440448 444912 449976 459264 464646 477152 479136 487474 492544 494592 513856 519064 524972 531024 535808 541632 547584 554001 571872 581219 587264 593216 599968 619008 619528 626262 633144 638848 646464 653568 666624 685906 693713 708032 715728 722176 730112 731211 738668 738816 762496 770784 778596 787458 795648 803712 835016 844192 861952 862454 871424 880896 889824 899952 918528 929292 954304 958272 974948 1027712 1028859 1038128 1049944 1062048 1071616 1083264 1095168 1108002 1143744 1162438 1174528 1186432 1199936 1238016 1239056 1252524 1266288 1277696 1292928 1293681 1307136 1371812 1387426 1416064 1431456 1444352 1462422 1477336 1477632 1524992 1541568 1557192 1574916 1607424 1670032 1688384 1706159 1723904 1724908 1743657 1761792 1779648 1799904 1858584 1908608 1916544 1949896 2055424 2057718 2076256 2081139 2099888 2124096 2143232 2166528 2190336 2216004 2287488 2324876 2372864 2399872 2400671 2478112 2505048 2532576 2555392 2585856 2587362 2614272 2743624 2774852 2832128 2862912 2888704 2924844 2954672 3018589 3049984 3083136 3114384 3149832 3214848 3340064 3376768 3412318 3447808 3449816 3487314 3523584 3559296 3599808 3717168 3817216 3833088 3899792 4068533 4110848 4115436 4152512 4162278 4199776 4248192 4333056 4432008 4574976 4649752 4745728 4799744 4801342 4855991 4956224 5010096 5065152 5110784 5118477 5171712 5174724 5487248 5549704 5605951 5664256 5725824 5849688 5909344 6037178 6099968 6166272 6228768 6299664 6429696 6680128 6753536 6824636 6899632 6974628 7118592 7199616 7202013 7434336 7555847 7634432 7666176 7799584 8137066 8221696 8230872 8305024 8324556 8399552 8496384 8666112 8864016 9018269 9055767 9149952 9299504 9491456 9599488 9602684 9711982 9912448 10020192 10130304 10236954 10343424 10349448 10974496 11099408 11211902 11328512 11451648 11699376 11818688 12074356 12205599 12332544 12457536 12599328 13360256 13368037 13507072 13649272 13799264 13949256 14237184 14399232 14404026 14567973 14868672 15111694 15268864 15332352 15599168 15955399 16274132 16461744 16610048 16649112 16799104 16817853 16992768 17728032 18036538 18111534 18299904 18599008 19198976 19205368 19423964 19824896 20040384 20260608 20473908 20698896 21505103 21948992 22198816 22423804 22667541 22903296 23398752 23637376 24148712 24411198 24665088 24915072 25198656 26720512 26736074 27014144 27054807 27298544 27598528 27898512 28474368 28798464 28808052 29135946 29737344 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8341655088 8610740736 8711647854 8946122848 8983320864 9234707456 9273105408 9634286144 9731930936 9956168976 10045864192 10155058368 10266652416 10386964749 10722028128 11010612736 11122206784 11605780992 11615530472 11741786238 11870816856 11977761152 12120553536 12253746432 12498533376 12860051594 13274891968 13419184272 13540077824 13688869888 13849286332 13852061184 14296037504 14451429216 14597896404 14917604352 15068796288 15655714984 15827755808 16160738048 16338328576 16515919104 16683310176 17221481472 17423295708 17892245696 17966641728 19268572288 19290077391 19463861872 19912337952 20091728384 20310116736 20533304832 20773929498 21444056256 22021225472 22244413568 23211561984 23231060944 23483572476 23741633712 23955522304 24241107072 24507492864 25720103188 26549783936 26838368544 27080155648 27698572664 27704122368 28592075008 28902858432 29195792808 30137592576 31311429968 31655511616 32321476096 33031838208 33366620352 34846591416 35784491392 35933283456 38537144576 38580154782 38927723744 39824675904 40183456768 40620233472 41066609664 41547858996 42888112512 44488827136 45010180579 46462121888 46967144952 47483267424 47911044608 48482214144 49014985728 51440206376 53099567872 53676737088 54160311296 55397145328 57184150016 57805716864 58391585616 60275185152 62622859936 63311023232 64642952192 66063676416 66733240704 69693182832 71568982784 71866566912 77074289152 77160309564 77855447488 79649351808 81240466944 83095717992 85776225024 88977654272 90020361158 92924243776 93934289904 94966534848 95822089216 96964428288 102880412752 106199135744 107353474176 110794290656 114368300032 115611433728 116783171232 120550370304 125245719872 126622046464 133466481408 135030541737 139386365664 143137965568 143733133824 154148578304 154320619128 155710894976 159298703616 162480933888 166191435984 171552450048 177955308544 180040722316 185848487552 187868579808 189933069696 193928856576 205760825504 212398271488 214706948352 221588581312 231222867456 233566342464 250491439744 253244092928 266932962816 270061083474 278772731328 286275931136 287466267648 308641238256 311421789952 318597407232 332382871968 343104900096 360081444632 371696975104 375737159616 379866139392 411521651008 429413896704 443177162624 462445734912 467132684928 500982879488 506488185856 533865925632 540122166948 557545462656 617282476512 622843579904 637194814464 664765743936 720162889264 743393950208 751474319232 759732278784 823043302016 858827793408 886354325248 934265369856 1001965758976 1080244333896 1115090925312 1234564953024 1245687159808 1329531487872 1440325778528 1486787900416 1502948638464 1519464557568 1646086604032 1772708650496 1868530739712 2003931517952 2160488667792 2230181850624 2469129906048 2659062975744 2880651557056 3005897276928 3292173208064 3545417300992 3737061479424 4320977335584 4460363701248 4938259812096 5318125951488 5761303114112 6011794553856 6584346416128 8641954671168 9876519624192 10636251902976 11522606228224 17283909342336 19753039248384 23045212456448 34567818684672 46090424912896 69135637369344 138271274738688
- Sum of all divisors σ(n): 501813043200000
- Sum of proper divisors (its aliquot sum) s(n): 363541768461312
- 138271274738688 is an abundant number, because the sum of its proper divisors (363541768461312) is greater than itself. Its abundance is 225270493722624
Bases of 138271274738688
- Binary: 111110111000001110010100011011010100100000000002
- Hexadecimal: 0x7DC1CA36A400
- Base-36: 1D0GY2X5HC
Squares and roots of 138271274738688
- 138271274738688 squared (1382712747386882) is 19118945417861738242683961344
- 138271274738688 cubed (1382712747386883) is 2643600954587140455499884213413362293276672
-
The
square root of 138271274738688 is 11758880.6754166869 -
The
cube root of 138271274738688 is 51710.3315365403
Scales and comparisons
How big is 138271274738688?- 138,271,274,738,688 seconds is equal to 4,396,598 years, 43 weeks, 3 days, 3 hours, 24 minutes, 48 seconds.
-
To count from 1 to 138,271,274,738,688 would take you about ten million, nine hundred ninety-one thousand, four hundred ninety-seven 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 138271274738688 cubic inches would be around 4309.2 feet tall.
Recreational maths with 138271274738688
- 138271274738688 backwards is 886837472172831
- The number of decimal digits it has is: 15
- The sum of 138271274738688's digits is 75
- More coming soon!
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"Number 138271274738688 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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The information we have on file for 138271274738688 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 138271274738688, math, Factors of 138271274738688, curriculum, school, college, exams, university, Prime factorization of 138271274738688, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred seventy-one billion, two hundred seventy-four million, seven hundred thirty-eight thousand, six hundred eighty-eight.