138764496948480
138,764,496,948,480 is an even composite number composed of seven prime numbers multiplied together.
138764496948480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138764496948480:
28 × 32 × 5 × 133 × 23 × 127 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 13 × 23 × 127 × 1877)See below for interesting mathematical facts about the number 138764496948480 from the Numbermatics database.
Names of 138764496948480
- Cardinal: 138764496948480 can be written as One hundred thirty-eight trillion, seven hundred sixty-four billion, four hundred ninety-six million, nine hundred forty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3876449694848 × 1014
Factors of 138764496948480
Divisors of 138764496948480
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 26 30 32 36 39 40 45 46 48 52 60 64 65 69 72 78 80 90 92 96 104 115 117 120 127 128 130 138 144 156 160 169 180 184 192 195 207 208 230 234 240 254 256 260 276 288 299 312 320 338 345 360 368 381 384 390 414 416 460 468 480 507 508 520 552 576 585 598 624 635 640 676 690 720 736 762 768 780 828 832 845 897 920 936 960 1014 1016 1035 1040 1104 1143 1152 1170 1196 1248 1270 1280 1352 1380 1440 1472 1495 1521 1524 1560 1651 1656 1664 1690 1794 1840 1872 1877 1905 1920 2028 2032 2070 2080 2197 2208 2286 2304 2340 2392 2496 2535 2540 2691 2704 2760 2880 2921 2944 2990 3042 3048 3120 3302 3312 3328 3380 3588 3680 3744 3754 3810 3840 3887 4056 4064 4140 4160 4394 4416 4485 4572 4680 4784 4953 4992 5070 5080 5382 5408 5520 5631 5715 5760 5842 5888 5980 6084 6096 6240 6591 6604 6624 6760 7176 7360 7488 7508 7605 7620 7774 8112 8128 8255 8280 8320 8763 8788 8832 8970 9144 9360 9385 9568 9906 9984 10140 10160 10764 10816 10985 11040 11262 11430 11520 11661 11684 11960 12168 12192 12480 13182 13208 13248 13455 13520 14352 14605 14720 14859 14976 15016 15210 15240 15548 16224 16256 16510 16560 16640 16893 17526 17576 17664 17940 18288 18720 18770 19136 19435 19773 19812 20280 20320 21463 21528 21632 21970 22080 22524 22860 23322 23368 23920 24336 24384 24401 24765 24960 26289 26364 26416 26496 26910 27040 28155 28704 29210 29440 29718 29952 30032 30420 30480 31096 32448 32512 32955 33020 33120 33786 34983 35052 35152 35880 36576 37440 37540 37973 38272 38870 39546 39624 40560 40640 42926 43056 43171 43264 43815 43940 44160 45048 45720 46644 46736 47840 48672 48768 48802 49530 49920 50531 52578 52728 52832 52992 53820 54080 56310 57408 58305 58420 59436 60064 60840 60960 62192 64389 64896 65910 66040 66240 67572 69966 70104 70304 71760 73152 73203 74295 74880 75080 75946 76544 77740 79092 79248 81120 81280 84465 85852 86112 86342 87630 87880 88320 90096 91440 93288 93472 95680 97344 97536 97604 98865 99060 101062 105156 105456 105664 107315 107640 108160 112620 113919 114816 116610 116840 118872 120128 121680 121920 122005 124384 128778 129513 129792 131445 131820 132080 132480 135144 139932 140208 140608 143520 146304 146406 148590 149760 150160 151593 151892 155480 158184 158496 162240 162560 168930 171704 172224 172684 174915 175260 175760 180192 182880 186576 186944 189865 191360 193167 194688 195208 197730 198120 202124 210312 210912 211328 214630 215280 215855 216320 219609 225240 227838 229632 233220 233680 237744 238379 240256 243360 243840 244010 248768 252655 257556 259026 262890 263640 264160 264960 270288 279019 279864 280416 281216 287040 292608 292812 297180 300320 303186 303784 310960 316368 316992 317213 321945 324480 337860 341757 343408 344448 345368 349830 350520 351520 360384 365760 366015 373152 373888 379730 382720 386334 388539 389376 390416 395460 396240 404248 420624 421824 422656 429260 430560 431710 439218 450480 454779 455676 466440 467360 475488 476758 480512 486720 487680 488020 493649 497536 505310 515112 518052 525780 527280 528320 540576 558038 559728 560832 561223 562432 569595 574080 585624 594360 600640 606372 607568 621920 632736 633984 634426 643890 647565 648960 675720 683514 686816 688896 690736 699660 701040 703040 715137 720768 731520 732030 746304 747776 757965 759460 772668 777078 780832 790920 792480 808496 837057 841248 843648 858520 861120 863420 878436 900960 909558 911352 932880 934720 950976 951639 953516 965835 973440 976040 987298 995072 1010620 1030224 1036104 1051560 1054560 1056640 1081152 1098045 1116076 1119456 1121664 1122446 1139190 1148160 1171248 1188720 1191895 1201280 1212744 1215136 1243840 1265472 1267968 1268852 1287780 1295130 1351440 1367028 1373632 1381472 1395095 1399320 1402080 1406080 1430274 1441536 1463040 1464060 1480947 1492608 1515930 1518920 1545336 1554156 1561664 1581840 1584960 1586065 1616992 1674114 1682496 1683669 1687296 1708785 1717040 1722240 1726840 1756872 1801920 1819116 1822704 1865760 1869440 1901952 1903278 1907032 1931670 1942695 1946880 1952080 1974596 2021240 2060448 2072208 2103120 2109120 2113280 2145411 2162304 2196090 2232152 2238912 2243328 2244892 2273895 2278380 2342496 2377440 2383790 2402560 2425488 2430272 2468245 2487680 2511171 2530944 2537704 2575560 2590260 2702880 2734056 2747264 2762944 2790190 2798640 2804160 2806115 2812160 2854917 2860548 2928120 2961894 2985216 3031860 3037840 3090672 3098927 3108312 3123328 3163680 3169920 3172130 3233984 3348228 3364992 3367338 3417570 3434080 3444480 3453680 3513744 3575685 3603840 3638232 3645408 3731520 3738880 3803904 3806556 3814064 3863340 3885390 3904160 3949192 4042480 4120896 4123769 4144416 4185285 4206240 4218240 4290822 4324608 4392180 4442841 4464304 4477824 4489784 4547790 4556760 4684992 4754880 4758195 4767580 4850976 4860544 4936490 4975360 5022342 5051007 5061888 5075408 5151120 5180520 5405760 5468112 5482717 5494528 5525888 5580380 5597280 5608320 5612230 5709834 5721096 5856240 5923788 6063720 6075680 6181344 6197854 6216624 6246656 6327360 6339840 6344260 6417437 6467968 6696456 6729984 6734676 6835140 6868160 6907360 7027488 7151370 7207680 7276464 7290816 7295899 7404735 7463040 7613112 7628128 7726680 7770780 7808320 7898384 8084960 8241792 8247538 8288832 8370570 8412480 8418345 8436480 8581644 8784360 8885682 8928608 8955648 8979568 9095580 9113520 9296781 9369984 9509760 9516390 9535160 9701952 9721088 9872980 10044684 10102014 10150816 10302240 10361040 10727055 10811520 10936224 10965434 11051776 11160760 11194560 11216640 11224460 11419668 11442192 11712480 11847576 12127440 12151360 12362688 12371307 12395708 12433248 12555855 12654720 12688520 12834874 12935936 13392912 13469352 13670280 13736320 13814720 14054976 14274585 14302740 14552928 14581632 14591798 14809470 14926080 15226224 15256256 15453360 15494635 15541560 15616640 15796768 16169920 16448151 16483584 16495076 16577664 16741140 16824960 16836690 17163288 17568720 17771364 17857216 17959136 18191160 18227040 18593562 18739968 19019520 19032780 19070320 19252311 19403904 19745960 20089368 20204028 20301632 20604480 20618845 20722080 21454110 21623040 21872448 21887697 21930868 22214205 22321520 22389120 22448920 22839336 22884384 23424960 23695152 24254880 24302720 24725376 24742614 24791416 24866496 25111710 25255035 25309440 25377040 25669748 26785824 26938704 27340560 27413585 27472640 27629440 27890343 28109952 28549170 28605480 29105856 29163264 29183596 29618940 30452448 30512512 30906720 30989270 31083120 31233280 31593536 32087185 32339840 32896302 32990152 33155328 33482280 33649920 33673380 34326576 35137440 35542728 35714432 35918272 36382320 36454080 36479495 37113921 37187124 38065560 38140640 38504622 38807808 39491920 40178736 40286051 40408056 40603264 41208960 41237690 41444160 42908220 43744896 43775394 43861736 44428410 44643040 44778240 44897840 45678672 45768768 46483905 46849920 47390304 48509760 48605440 49344453 49450752 49485228 49582832 49732992 50223420 50510070 50754080 51339496 53571648 53877408 54681120 54827170 55258880 55780686 56219904 57098340 57210960 57756933 58211712 58367192 59237880 60904896 61025024 61813440 61856535 61978540 62166240 63187072 64174370 64679680 65663091 65792604 65980304 66964560 67346760 68653152 70274880 71085456 71275321 71428864 71836544 72764640 72908160 72958990 74227842 74374248 76131120 76281280 77009244 78983840 80357472 80572102 80816112 81206528 82240755 82417920 82475380 82888320 85816440 87489792 87550788 87723472 88856820 89286080 89795680 91357344 91537536 92967810 93699840 94780608 94846687 96261555 97019520 98688906 98970456 99165664 99465984 100446840 101020140 101508160 102678992 107143296 107754816 109362240 109438485 109654340 111561372 114196680 114421920 115513866 116423424 116734384 118475760 120858153 121809792 123626880 123713070 123957080 124332480 126374144 128348740 131326182 131585208 131960608 133929120 134693520 137306304 139451715 140549760 142170912 142550642 143673088 145529280 145816320 145917980 148455684 148748496 152262240 152562560 154018488 157967680 160714944 161144204 161632224 164481510 164950760 165776640 171632880 175101576 175446944 177713640 178572160 179591360 182714688 183075072 185569605 185935620 189561216 189693374 192523110 194039040 197377812 197940912 198331328 200893680 201430255 202040280 203016320 205357984 213825963 214286592 215509632 218724480 218876970 219308680 223122744 228393360 228843840 231027732 233468768 236951520 241716306 243619584 246722265 247253760 247426140 247914160 248664960 256697480 262652364 263170416 263921216 267858240 269387040 274612608 278903430 281099520 284341824 284540061 285101284 288784665 291058560 291835960 296911368 297496992 304524480 305125120 308036976 315935360 321429888 322288408 323264448 328315455 328963020 329901520 343265760 350203152 350893888 355427280 356376605 357144320 359182720 362574459 365429376 371139210 371871240 379122432 379386748 385046220 394755624 395881824 396662656 401787360 402860510 404080560 406032640 410715968 427651926 431019264 437448960 437753940 438617360 446245488 456786720 457687680 462055464 466937536 473903040 474233435 483432612 493444530 494852280 495828320 497329920 513394960 523718663 525304728 526340832 527842432 535716480 538774080 549225216 557806860 568683648 569080122 570202568 577569330 582117120 583671920 593822736 594993984 604290765 609048960 616073952 631870720 641477889 642859776 644576816 646528896 656630910 657926040 659803040 686531520 700406304 701787776 710854560 712753210 718365440 725148918 730858752 742278420 743742480 758773496 770092440 789511248 791763648 793325312 803574720 805721020 808161120 821431936 853620183 855303852 875507880 877234720 892490976 913573440 915375360 924110928 926579173 933875072 947806080 948466870 966865224 986889060 989704560 991656640 1026789920 1047437326 1050609456 1052681664 1055684864 1069129815 1071432960 1077548160 1115613720 1137367296 1138160244 1140405136 1155138660 1167343840 1187645472 1189987968 1208581530 1218097920 1232147904 1282955778 1289153632 1293057792 1313261820 1315852080 1319606080 1373063040 1400812608 1403575552 1421709120 1422700305 1425506420 1450297836 1484556840 1487484960 1517546992 1540184880 1571155989 1579022496 1583527296 1607149440 1611442040 1616322240 1642863872 1707240366 1710607704 1751015760 1754469440 1784981952 1812872295 1827146880 1848221856 1853158346 1867750144 1895612160 1896933740 1933730448 1973778120 1979409120 1983313280 2053579840 2094874652 2101218912 2105363328 2138259630 2155096320 2231227440 2276320488 2280810272 2310277320 2334687680 2375290944 2379975936 2417163060 2464295808 2565911556 2578307264 2618593315 2626523640 2631704160 2639212160 2746126080 2779737519 2801625216 2843418240 2845400610 2851012840 2900595672 2969113680 2974969920 3035093984 3080369760 3142311978 3158044992 3167054592 3207389445 3214298880 3222884080 3232644480 3414480732 3421215408 3502031520 3508938880 3569963904 3625744590 3654293760 3696443712 3706316692 3793867480 3867460896 3947556240 3958818240 3966626560 4107159680 4189749304 4202437824 4210726656 4268100915 4276519260 4462454880 4552640976 4561620544 4620554640 4632895865 4669375360 4713467967 4750581888 4834326120 4928591616 5131823112 5156614528 5237186630 5253047280 5263408320 5278424320 5559475038 5603250432 5686836480 5690801220 5702025680 5801191344 5938227360 5949939840 6070187968 6160739520 6284623956 6316089984 6414778890 6445768160 6465288960 6828961464 6842430816 7004063040 7017877760 7139927808 7251489180 7392887424 7412633384 7587734960 7734921792 7855779945 7895112480 7917636480 8214319360 8339212557 8379498608 8404875648 8536201830 8553038520 8924909760 9105281952 9123241088 9241109280 9265791730 9338750720 9426935934 9501163776 9668652240 10263646224 10313229056 10474373260 10506094560 10526816640 11118950076 11381602440 11404051360 11602382688 11876454720 11899879680 12045529249 12140375936 12321479040 12569247912 12632179968 12829557780 12891536320 13657922928 13684861632 13898687595 14008126080 14502978360 14785774848 14825266768 15175469920 15469843584 15711559890 15790224960 15835272960 16678425114 16758997216 16809751296 17072403660 17106077040 17849819520 18210563904 18246482176 18482218560 18531583460 18853871868 19337304480 20527292448 20948746520 21012189120 21053633280 22237900152 22763204880 22808102720 23204765376 23567339835 23752909440 24091058498 24280751872 24642958080 25138495824 25659115560 25783072640 27315845856 27369723264 27797375190 28016252160 29005956720 29650533536 30350939840 30939687168 31423119780 31580449920 33356850228 33517994432 34144807320 34212154080 35699639040 36136587747 36421127808 36964437120 37063166920 37707743736 38674608960 41054584896 41696062785 41897493040 42024378240 44475800304 45526409760 45616205440 46409530752 47134679670 47505818880 48182116996 50276991648 51318231120 51566145280 54631691712 54739446528 55594750380 58011913440 59301067072 60227646245 60701879680 62846239560 63160899840 66713700456 67035988864 68289614640 68424308160 72273175494 72842255616 73928874240 74126333840 75415487472 77349217920 82109169792 83392125570 83794986080 84048756480 88951600608 91052819520 91232410880 92819061504 94269359340 96364233992 100553983296 102636462240 108409763241 109263383424 111189500760 116023826880 118602134144 120455292490 121403759360 125692479120 133427400912 134071977728 136579229280 136848616320 144546350988 148252667680 150830974944 154698435840 164218339584 166784251140 167589972160 177903201216 180682938735 182105639040 188538718680 192728467984 201107966592 205272924480 216819526482 218526766848 222379001520 232047653760 237204268288 240910584980 251384958240 266854801824 273158458560 273697232640 289092701976 296505335360 301661949888 333568502280 335179944320 355806402432 361365877470 364211278080 377077437360 385456935968 402215933184 410545848960 433639052964 444758003040 464095307520 481821169960 502769916480 533709603648 542048816205 546316917120 578185403952 593010670720 603323899776 667137004560 670359888640 711612804864 722731754940 754154874720 770913871936 821091697920 867278105928 889516006080 963642339920 1005539832960 1067419207296 1084097632410 1092633834240 1156370807904 1186021341440 1206647799552 1334274009120 1445463509880 1508309749440 1541827743872 1734556211856 1779032012160 1927284679840 2011079665920 2134838414592 2168195264820 2312741615808 2668548018240 2890927019760 3016619498880 3083655487744 3469112423712 3558064024320 3854569359680 4336390529640 4625483231616 5337096036480 5781854039520 6033238997760 6938224847424 7709138719360 8672781059280 9250966463232 10674192072960 11563708079040 13876449694848 15418277438720 17345562118560 23127416158080 27752899389696 34691124237120 46254832316160 69382248474240 138764496948480
- Sum of all divisors σ(n): 547279598960640
- Sum of proper divisors (its aliquot sum) s(n): 408515102012160
- 138764496948480 is an abundant number, because the sum of its proper divisors (408515102012160) is greater than itself. Its abundance is 269750605063680
Bases of 138764496948480
- Binary: 111111000110100101000001000110001001101000000002
- Hexadecimal: 0x7E34A08C4D00
- Base-36: 1D6RJ2OU80
Squares and roots of 138764496948480
- 138764496948480 squared (1387644969484802) is 19255585613364715231774310400
- 138764496948480 cubed (1387644969484803) is 2671991651086943415884850471436856328192000
-
The
square root of 138764496948480 is 11779834.3345091235 -
The
cube root of 138764496948480 is 51771.7432274239
Scales and comparisons
How big is 138764496948480?- 138,764,496,948,480 seconds is equal to 4,412,281 years, 40 weeks, 2 days, 12 hours, 48 minutes.
-
To count from 1 to 138,764,496,948,480 would take you about eleven million, thirty thousand, seven hundred four 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 138764496948480 cubic inches would be around 4314.3 feet tall.
Recreational maths with 138764496948480
- 138764496948480 backwards is 084849694467831
- The number of decimal digits it has is: 15
- The sum of 138764496948480's digits is 81
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138764496948480 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 138764496948480 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138764496948480/
Chicago style:
Numbermatics. 2024. "Number 138764496948480 - Facts about the integer". https://numbermatics.com/n/138764496948480/
The information we have on file for 138764496948480 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 138764496948480, math, Factors of 138764496948480, curriculum, school, college, exams, university, Prime factorization of 138764496948480, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred sixty-four billion, four hundred ninety-six million, nine hundred forty-eight thousand, four hundred eighty.