138426642656816835672
138,426,642,656,816,835,672 is an even composite number composed of five prime numbers multiplied together.
What does the number 138426642656816835672 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1280 divisors.
138426642656816835672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138426642656816835672:
23 × 39 × 13 × 1313 × 3113
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 131 × 131 × 131 × 311 × 311 × 311)See below for interesting mathematical facts about the number 138426642656816835672 from the Numbermatics database.
Names of 138426642656816835672
- Cardinal: 138426642656816835672 can be written as One hundred thirty-eight quintillion, four hundred twenty-six quadrillion, six hundred forty-two trillion, six hundred fifty-six billion, eight hundred sixteen million, eight hundred thirty-five thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.38426642656816835672 × 1020
Factors of 138426642656816835672
Divisors of 138426642656816835672
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 131 156 162 216 234 243 262 311 312 324 351 393 468 486 524 622 648 702 729 786 933 936 972 1048 1053 1179 1244 1404 1458 1572 1703 1866 1944 2106 2187 2358 2488 2799 2808 2916 3144 3159 3406 3537 3732 4043 4212 4374 4716 5109 5598 5832 6318 6561 6812 7074 7464 8086 8397 8424 8748 9432 9477 10218 10611 11196 12129 12636 13122 13624 14148 15327 16172 16794 17161 17496 18954 19683 20436 21222 22392 24258 25191 25272 26244 28296 28431 30654 31833 32344 33588 34322 36387 37908 39366 40741 40872 42444 45981 48516 50382 51483 52488 56862 61308 63666 67176 68644 72774 75573 75816 78732 81482 84888 85293 91962 95499 96721 97032 100764 102966 109161 113724 122223 122616 127332 137288 137943 145548 151146 154449 157464 162964 170586 183924 190998 193442 201528 205932 218322 223093 226719 227448 244446 254664 255879 275886 286497 290163 291096 302292 308898 325928 327483 341172 366669 367848 381996 386884 411864 413829 436644 446186 453438 463347 488892 511758 529633 551772 572994 580326 604584 617796 654966 669279 680157 682344 733338 763992 773768 827658 859491 870489 873288 892372 906876 926694 977784 982449 1023516 1059266 1100007 1103544 1145988 1160652 1235592 1241487 1257373 1309932 1338558 1360314 1390041 1466676 1588899 1655316 1718982 1740978 1784744 1813752 1853388 1964898 2007837 2040471 2047032 2118532 2200014 2248091 2291976 2321304 2482974 2514746 2578473 2611467 2619864 2677116 2720628 2780082 2933352 2947347 3177798 3300021 3310632 3437964 3481956 3706776 3724461 3772119 3929796 4015674 4080942 4170123 4237064 4400028 4496182 4766697 4965948 5029492 5156946 5222934 5337071 5354232 5441256 5560164 5894694 6023511 6121413 6355596 6600042 6744273 6875928 6963912 7448922 7544238 7834401 7859592 8031348 8161884 8340246 8800056 8842041 8992364 9533394 9900063 9931896 10058984 10313892 10445868 10674142 11120328 11173383 11316357 11789388 12047022 12242826 12510369 12670451 12711192 13200084 13488546 14300091 14897844 15088476 15668802 16011213 16062696 16323768 16680492 17684082 17984728 18070533 19066788 19800126 20232819 20627784 20891736 21348284 22346766 22632714 23503203 23578776 24094044 24485652 25020738 25340902 26400168 26526123 26977092 28600182 29225183 29700189 29795688 30080231 30176952 31337604 32022426 33360984 33520149 33949071 35368164 36141066 37531107 38011353 38133576 39600252 40465638 42696568 42900273 44693532 45265428 47006406 48033639 48188088 48971304 50041476 50681804 53052246 53954184 54211599 57200364 58450366 59400378 60160462 60698457 62675208 64044852 67040298 67898142 69381923 70509609 70736328 72282132 75062214 76022706 79200504 79578369 80931276 85800546 87675549 89100567 89387064 90240693 90530856 94012812 96067278 100082952 101363608 101847213 106104492 108423198 112593321 114034059 114400728 116900732 118800756 120320924 121396914 128089704 128700819 134080596 135796284 138763846 141019218 144100917 144564264 150124428 152045412 159156738 161862552 162634797 164715863 171601092 175351098 178201134 180481386 182095371 188025624 192134556 203694426 208145769 211528827 212208984 216846396 225186642 228068118 233801464 237601512 240641848 242793828 257401638 263026647 267301701 268161192 270722079 271592568 277527692 282038436 288201834 300248856 304090824 305541639 318313476 325269594 329431726 337779963 342102177 343202184 350702196 356402268 360962772 364190742 384269112 386102457 391043003 407388852 416291538 423057654 432302751 433692792 450373284 456136236 485587656 487904391 494147589 514803276 526053294 534603402 541444158 546286113 555055384 564076872 576403668 611083278 624437307 634586481 636626952 650539188 658863452 675559926 684204354 699156301 701404392 712804536 721925544 728381484 772204914 782086006 789079941 801905103 812166237 814777704 832583076 846115308 864605502 900746568 912272472 916624917 975808782 988295178 1026306531 1029606552 1052106588 1069206804 1082888316 1092572226 1152807336 1158307371 1173129009 1222166556 1248874614 1269172962 1296908253 1301078376 1317726904 1351119852 1368408708 1398312602 1456762968 1463713173 1482442767 1544409828 1564172012 1578159882 1603810206 1624332474 1638858339 1659829081 1665166152 1692230616 1729211004 1833249834 1873311921 1903759443 1951617564 1976590356 2052613062 2097468903 2104213176 2138413608 2165776632 2185144452 2316614742 2346258018 2367239823 2436498711 2444333112 2497749228 2538345924 2593816506 2702239704 2736817416 2749874751 2796625204 2927426346 2964885534 3078919593 3088819656 3128344024 3156319764 3207620412 3248664948 3277716678 3319658162 3458422008 3474922113 3519387027 3666499668 3746623842 3807518886 3890724759 3903235128 3940510261 3953180712 4105226124 4194937806 4370288904 4391139519 4447328301 4633229484 4692516036 4734479646 4872997422 4916575017 4979487243 4995498456 5076691848 5187633012 5499749502 5593250408 5619935763 5854852692 5929771068 6157839186 6292406709 6312639528 6415240824 6497329896 6555433356 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3641718374424 3688317604296 3830175973692 3913876972998 4077479547432 4129654753528 4149357304833 4322803108572 4417269509718 4587164490861 4601914215912 4645861597719 4660800059448 4736553494184 4840061600196 5131266285366 5218502630664 5243400066879 5462577561636 5532476406444 5653377849886 5745263960538 5870815459497 5889692679624 6116219321148 6194482130292 6484204662858 6625904264577 6710688974483 6841688380488 6991200089172 7260092400294 7660351947384 7696899428049 7827753945996 8298714609666 8480066774829 8617895940807 8645606217144 8834539019436 9174328981722 9291723195438 9680123200392 10262532570732 10486800133758 10890138600441 10925155123272 11064952812888 11306755699772 11490527921076 11741630918994 12232438642296 12388964260584 12448071914499 12968409325716 13251808529154 13421377948966 13761493472583 13937584793157 13982400178344 14520184800588 15393798856098 15655507891992 15730200200637 16597429219332 16960133549658 17235791881614 17612446378491 17669078038872 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111500678345256 112032647230491 119266276762386 120792401540694 125438263138413 125841601605096 130681663205292 135246193178042 140899571027928 141571801805733 149376862973988 152641201946922 155122126934526 158512017406419 159021702349848 161056535387592 167251017517884 178899415143579 181188602311041 188762402407644 202869289767063 203521602595896 206829502579368 211349356541892 224065294460982 228961802920383 238532553524772 241584803081388 250876526276826 261363326410584 270492386356084 283143603611466 298753725947976 305282403893844 310244253869052 317024034812838 334502035035768 336097941691473 357798830287158 362377204622082 376314789415239 377524804815288 405738579534126 422698713083784 424715405417199 448130588921964 457923605840766 475536052219257 477065107049544 483169606162776 501753052553652 540984772712168 543565806933123 566287207222932 608607869301189 610564807787688 620488507738104 634048069625676 672195883382946 686885408761149 715597660574316 724754409244164 752629578830478 811477159068252 849430810834398 879100255657273 896261177843928 915847211681532 951072104438514 1003506105107304 1008293825074419 1087131613866246 1128944368245717 1132574414445864 1217215738602378 1268096139251352 1344391766765892 1373770817522298 1426608156657771 1431195321148632 1449508818488328 1505259157660956 1622954318136504 1630697420799369 1698861621668796 1758200511314546 1825823607903567 1831694423363064 1902144208877028 2016587650148838 2060656226283447 2174263227732492 2257888736491434 2434431477204756 2637300766971819 2688783533531784 2747541635044596 2853216313315542 3010518315321912 3261394841598738 3386833104737151 3397723243337592 3516401022629092 3651647215807134 3804288417754056 4033175300297676 4121312452566894 4279824469973313 4348526455464984 4515777472982868 4868862954409512 4892092262398107 5274601533943638 5477470823710701 5495083270089192 5706432626631084 6181968678850341 6522789683197476 6773666209474302 7032802045258184 7303294431614268 7911902300915457 8066350600595352 8242624905133788 8559648939946626 9031554945965736 9784184524796214 10160499314211453 10549203067887276 10954941647421402 11412865253262168 12363937357700682 13045579366394952 13547332418948604 14606588863228536 14676276787194321 15823804601830914 16432412471132103 16485249810267576 17119297879893252 18545906036551023 19568369049592428 20320998628422906 21098406135774552 21909883294842804 23735706902746371 24727874715401364 27094664837897208 29352553574388642 31647609203661828 32864824942264206 34238595759786504 37091812073102046 39136738099184856 40641997256845812 43819766589685608 44028830361582963 47471413805492742 49297237413396309 49455749430802728 55637718109653069 58705107148777284 63295218407323656 65729649884528412 71207120708239113 74183624146204092 81283994513691624 88057660723165926 94942827610985484 98594474826792618 111275436219306138 117410214297554568 131459299769056824 132086491084748889 142414241416478226 147891712240188927 148367248292408184 176115321446331852 189885655221970968 197188949653585236 213621362124717339 222550872438612276 264172982169497778 284828482832956452 295783424480377854 352230642892663704 394377899307170472 427242724249434678 443675136720566781 445101744877224552 528345964338995556 569656965665912904 591566848960755708 640864086374152017 854485448498869356 887350273441133562 1056691928677991112 1183133697921511416 1281728172748304034 1331025410161700343 1708970896997738712 1774700546882267124 1922592259122456051 2563456345496608068 2662050820323400686 3549401093764534248 3845184518244912102 5126912690993216136 5324101640646801372 5767776777367368153 7690369036489824204 10648203281293602744 11535553554734736306 15380738072979648408 17303330332102104459 23071107109469472612 34606660664204208918 46142214218938945224 69213321328408417836 138426642656816835672
- Sum of all divisors σ(n): 423853898905772375040
- Sum of proper divisors (its aliquot sum) s(n): 285427256248955539368
- 138426642656816835672 is an abundant number, because the sum of its proper divisors (285427256248955539368) is greater than itself. Its abundance is 147000613592138703696
Bases of 138426642656816835672
- Binary: 11110000001000011100011101000010100101000011000000010101100010110002
- Hexadecimal: 0x7810E3A14A180AC58
- Base-36: T7P85HIGTCDI0
Squares and roots of 138426642656816835672
- 138426642656816835672 squared (1384266426568168356722) is 19161935397238062373689902470179051691584
- 138426642656816835672 cubed (1384266426568168356723) is 2652522383846482821941634805017958191451693856255921753384448
-
The
square root of 138426642656816835672 is 11765485228.2775331219 -
The
cube root of 138426642656816835672 is 5172969.2316712945
Scales and comparisons
How big is 138426642656816835672?- 138,426,642,656,816,835,672 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,426,642,656,816,835,672 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138426642656816835672 cubic inches would be around 431080.8 feet tall.
Recreational maths with 138426642656816835672
- 138426642656816835672 backwards is 276538618656246624831
- The number of decimal digits it has is: 21
- The sum of 138426642656816835672's digits is 99
- More coming soon!
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"Number 138426642656816835672 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 138426642656816835672 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138426642656816835672/
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Numbermatics. 2024. "Number 138426642656816835672 - Facts about the integer". https://numbermatics.com/n/138426642656816835672/
The information we have on file for 138426642656816835672 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!
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