138384406520774656
138,384,406,520,774,656 is an even composite number composed of five prime numbers multiplied together.
138384406520774656 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138384406520774656:
214 × 11 × 293 × 312 × 1812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 29 × 29 × 29 × 31 × 31 × 181 × 181)See below for interesting mathematical facts about the number 138384406520774656 from the Numbermatics database.
Names of 138384406520774656
- Cardinal: 138384406520774656 can be written as One hundred thirty-eight quadrillion, three hundred eighty-four trillion, four hundred six billion, five hundred twenty million, seven hundred seventy-four thousand, six hundred fifty-six.
Scientific notation
- Scientific notation: 1.38384406520774656 × 1017
Factors of 138384406520774656
Divisors of 138384406520774656
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 8 11 16 22 29 31 32 44 58 62 64 88 116 124 128 176 181 232 248 256 319 341 352 362 464 496 512 638 682 704 724 841 899 928 961 992 1024 1276 1364 1408 1448 1682 1798 1856 1922 1984 1991 2048 2552 2728 2816 2896 3364 3596 3712 3844 3968 3982 4096 5104 5249 5456 5611 5632 5792 6728 7192 7424 7688 7936 7964 8192 9251 9889 10208 10498 10571 10912 11222 11264 11584 13456 14384 14848 15376 15872 15928 16384 18502 19778 20416 20996 21142 21824 22444 22528 23168 24389 26071 26912 27869 28768 29696 30752 31744 31856 32761 37004 39556 40832 41992 42284 43648 44888 45056 46336 48778 52142 53824 55738 57536 57739 59392 61504 61721 63488 63712 65522 74008 79112 81664 83984 84568 87296 89776 90112 92672 97556 104284 107648 111476 115072 115478 118784 123008 123442 126976 127424 131044 148016 152221 158224 162719 163328 167968 169136 173941 174592 179552 180224 185344 195112 208568 215296 222952 230144 230956 237568 246016 246884 253952 254848 262088 268279 286781 296032 304442 306559 316448 325438 326656 335936 338272 347882 349184 359104 360371 370688 390224 417136 430592 445904 460288 461912 475136 492032 493768 507904 509696 524176 536558 573562 592064 608884 613118 632896 650876 653312 671872 676544 695764 698368 718208 720742 741376 756059 780448 808201 834272 861184 891808 920576 923824 950069 984064 987536 1015591 1019392 1048352 1073116 1147124 1184128 1217768 1226236 1265792 1301752 1306624 1343744 1353088 1391528 1396736 1436416 1441484 1482752 1512118 1560896 1616402 1668544 1674431 1722368 1783616 1789909 1841152 1847648 1900138 1913351 1968128 1975072 2031182 2038784 2096704 2146232 2294248 2368256 2435536 2452472 2531584 2603504 2613248 2687488 2706176 2783056 2793472 2872832 2882968 2965504 3024236 3121792 3232804 3337088 3348862 3444736 3567232 3579818 3682304 3695296 3800276 3826702 3936256 3950144 4062364 4077568 4193408 4292464 4414409 4588496 4718851 4736512 4871072 4904944 5044289 5063168 5207008 5226496 5374976 5412352 5566112 5586944 5745664 5765936 6048472 6243584 6465608 6674176 6697724 6889472 7134464 7159636 7364608 7390592 7600552 7653404 7872512 7900288 8124728 8155136 8316649 8386816 8584928 8828818 8890211 9176992 9437702 9473024 9742144 9809888 10088578 10126336 10414016 10450759 10749952 10824704 11132224 11171501 11491328 11531872 12096944 12487168 12931216 13348352 13395448 13778944 14268928 14319272 14729216 14781184 15201104 15306808 15745024 15800576 16249456 16310272 16633298 16773632 17169856 17657636 17780422 18353984 18875404 18946048 19484288 19619776 20177156 20252672 20828032 20901518 21499904 21649408 22264448 22343002 22982656 23063744 23437829 24193888 24974336 25862432 26696704 26790896 27552001 28537856 28638544 29452139 29562368 30402208 30613616 31483321 31601152 32498912 32620544 33266596 33547264 34339712 35315272 35560844 36707968 37750808 37892096 38968576 39239552 40354312 40505344 41656064 41803036 42999808 43298816 44528896 44686004 45965312 46127488 46875658 48387776 48558499 49948672 51724864 51907361 53393408 53581792 55104002 55487179 57075712 57277088 58904278 59124736 60804416 61227232 62966642 63202304 64997824 66533192 67094528 68679424 70630544 71121688 73415936 75501616 75784192 77937152 78479104 80708624 81010688 83312128 83606072 85999616 86597632 89057792 89372008 91930624 92254976 93751316 96775552 97116998 99897344 103449728 103814722 106786816 107163584 110208004 110974358 114151424 114554176 117808556 118249472 121608832 122454464 125933284 126404608 129995648 133066384 134189056 136846679 137358848 141261088 142243376 146284381 146831872 151003232 151568384 155874304 156958208 161417248 162021376 166624256 167212144 173195264 178115584 178744016 184509952 187502632 193551104 194233996 199794688 206899456 207629444 213573632 214327168 220416008 221948716 228302848 229108352 235617112 236498944 243217664 244908928 251866568 252809216 257816119 259991296 266132768 268378112 273693358 274717696 282522176 284486752 292568762 293663744 302006464 303072011 311748608 313916416 322834496 323973529 333248512 334424288 346316531 356231168 357488032 369019904 375005264 387102208 388467992 399589376 413798912 415258888 427147264 428654336 440832016 443897432 456605696 458216704 471234224 472997888 486435328 489817856 503733136 505618432 515632238 519982592 532265536 536756224 547386716 549435392 565044352 568973504 585137524 587327488 604012928 606144022 623497216 627832832 645668992 647947058 666497024 668848576 692633062 712462336 714976064 738039808 750010528 774204416 776935984 799008029 827597824 830517776 854112031 857308672 881664032 887794864 913016309 916433408 942468448 945995776 972870656 979635712 1007466272 1011236864 1031264476 1039965184 1064531072 1094773432 1098870784 1130088704 1137947008 1170275048 1174654976 1208025856 1212288044 1246994432 1255665664 1291337984 1295894116 1332994048 1337697152 1385266124 1424924672 1429952128 1476079616 1500021056 1505313469 1548408832 1553871968 1598016058 1609128191 1655195648 1661035552 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48000673792 48170031008 49538497798 49723902976 51136513856 51492102112 52954945922 53153137664 54663169984 56426498048 56818871296 58433043776 60317980672 64477841408 66000926464 67875952784 68129988608 70065499648 70312706552 72325677056 72828608512 74897603072 75161858728 77313654784 77586434816 80345435192 82645630976 82937223424 85612617728 88657031936 91516936192 93329435078 96001347584 96340062016 99076995596 99447805952 102273027712 102984204224 105909891844 106306275328 109326339968 112852996096 113637742592 116866087552 120635961344 128955682816 132001852928 135751905568 136259977216 140130999296 140625413104 145657217024 149795206144 150323717456 155172869632 160690870384 165874446848 171225235456 177314063872 183033872384 186658870156 192002695168 192680124032 198153991192 198895611904 204546055424 205968408448 211819783688 212612550656 218652679936 225705992192 227275485184 233732175104 241271922688 257911365632 264003705856 271503811136 272461737889 280261998592 281250826208 291252202571 299590412288 300647434912 310345739264 321381740768 331748893696 354628127744 373317740312 384005390336 385360248064 396307982384 397791223808 409092110848 411936816896 423639567376 425225101312 437305359872 451411984384 454550970368 467464350208 482543845376 515822731264 528007411712 543007622272 544923475778 560523997184 562501652416 582504405142 599180824576 601294869824 620691478528 642763481536 663497787392 709256255488 746635480624 767846715869 770720496128 792615964768 795582447616 818184221696 823873633792 847279134752 850450202624 874610719744 909101940736 934928700416 1056014823424 1086015244544 1089846951556 1121047994368 1125003304832 1165008810284 1198361649152 1202589739648 1241382957056 1285526963072 1326995574784 1418512510976 1493270961248 1535693431738 1541440992256 1585231929536 1636368443392 1647747267584 1694558269504 1749221439488 1869857400832 2112029646848 2172030489088 2179693903112 2242095988736 2250006609664 2330017620568 2396723298304 2405179479296 2482765914112 2571053926144 2653991149568 2837025021952 2986541922496 3071386863476 3082881984512 3170463859072 3272736886784 3295494535168 3389116539008 3498442878976 3739714801664 4224059293696 4344060978176 4359387806224 4500013219328 4660035241136 4810358958592 4965531828224 5142107852288 5307982299136 5674050043904 5973083844992 6142773726952 6165763969024 6340927718144 6545473773568 6590989070336 6778233078016 6996885757952 7479429603328 8446313874559 8688121956352 8718775612448 9000026438656 9320070482272 9620717917184 10284215704576 11946167689984 12285547453904 12331527938048 12681855436288 13090947547136 13181978140672 13556466156032 13993771515904 14958859206656 16892627749118 17376243912704 17437551224896 18000052877312 18640140964544 19241435834368 20568431409152 23892335379968 24571094907808 24663055876096 25363710872576 26363956281344 27112932312064 33785255498236 34752487825408 34875102449792 36000105754624 37280281929088 38482871668736 41136862818304 47784670759936 49142189815616 50727421745152 54225864624128 67570510996472 69504975650816 69750204899584 72000211509248 74560563858176 76965743337472 82273725636608 95569341519872 98284379631232 101454843490304 108451729248256 135141021992944 139500409799168 144000423018496 149121127716352 153931486674944 164547451273216 191138683039744 196568759262464 202909686980608 216903458496512 270282043985888 279000819598336 298242255432704 382277366079488 393137518524928 405819373961216 433806916993024 540564087971776 558001639196672 596484510865408 764554732158976 786275037049856 1081128175943552 1116003278393344 1192969021730816 1572550074099712 2162256351887104 2232006556786688 2385938043461632 3145100148199424 4324512703774208 4464013113573376 4771876086923264 6290200296398848 8649025407548416 12580400592797696 17298050815096832 34596101630193664 69192203260387328 138384406520774656
- Sum of all divisors σ(n): 324910441405362960
- Sum of proper divisors (its aliquot sum) s(n): 186526034884588304
- 138384406520774656 is an abundant number, because the sum of its proper divisors (186526034884588304) is greater than itself. Its abundance is 48141628363813648
Bases of 138384406520774656
- Binary: 1111010111010001111100010011100010001111111000000000000002
- Hexadecimal: 0x1EBA3E2711FC000
- Base-36: 11UL6EPYZ30G
Squares and roots of 138384406520774656
- 138384406520774656 squared (1383844065207746562) is 19150243968107019132034914331918336
- 138384406520774656 cubed (1383844065207746563) is 2650095146254534501824295050754306859062657250492416
-
The
square root of 138384406520774656 is 372000546.3984893881 -
The
cube root of 138384406520774656 is 517244.3060184423
Scales and comparisons
How big is 138384406520774656?- 138,384,406,520,774,656 seconds is equal to 4,400,196,076 years, 14 weeks, 6 days, 5 hours, 24 minutes, 16 seconds.
-
To count from 1 to 138,384,406,520,774,656 would take you about thirteen billion, two hundred million, five hundred eighty-eight thousand, two hundred twenty-eight 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 138384406520774656 cubic inches would be around 43103.7 feet tall.
Recreational maths with 138384406520774656
- 138384406520774656 backwards is 656477025604483831
- The number of decimal digits it has is: 18
- The sum of 138384406520774656's digits is 79
- More coming soon!
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"Number 138384406520774656 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 138384406520774656 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138384406520774656/
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The information we have on file for 138384406520774656 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 138384406520774656, math, Factors of 138384406520774656, curriculum, school, college, exams, university, Prime factorization of 138384406520774656, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred eighty-four trillion, four hundred six billion, five hundred twenty million, seven hundred seventy-four thousand, six hundred fifty-six.