138122653499001600
138,122,653,499,001,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138122653499001600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
138122653499001600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 138122653499001600:
28 × 3 × 52 × 113 × 132 × 61 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 11 × 13 × 13 × 61 × 524287)See below for interesting mathematical facts about the number 138122653499001600 from the Numbermatics database.
Names of 138122653499001600
- Cardinal: 138122653499001600 can be written as One hundred thirty-eight quadrillion, one hundred twenty-two trillion, six hundred fifty-three billion, four hundred ninety-nine million, one thousand, six hundred.
Scientific notation
- Scientific notation: 1.381226534990016 × 1017
Factors of 138122653499001600
Divisors of 138122653499001600
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 44 48 50 52 55 60 61 64 65 66 75 78 80 88 96 100 104 110 120 121 122 128 130 132 143 150 156 160 165 169 176 183 192 195 200 208 220 240 242 244 256 260 264 275 286 300 305 312 320 325 330 338 352 363 366 384 390 400 416 429 440 480 484 488 507 520 528 550 572 600 605 610 624 640 650 660 671 676 704 715 726 732 768 780 793 800 825 832 845 858 880 915 960 968 975 976 1014 1040 1056 1100 1144 1200 1210 1220 1248 1280 1300 1320 1331 1342 1352 1408 1430 1452 1464 1525 1560 1573 1586 1600 1650 1664 1690 1716 1760 1815 1830 1859 1920 1936 1950 1952 2013 2028 2080 2112 2145 2200 2288 2379 2400 2420 2440 2496 2535 2600 2640 2662 2684 2704 2816 2860 2904 2928 3025 3050 3120 3146 3172 3200 3300 3328 3355 3380 3432 3520 3575 3630 3660 3718 3840 3872 3900 3904 3965 3993 4026 4056 4160 4224 4225 4290 4400 4575 4576 4719 4758 4800 4840 4880 4992 5070 5200 5280 5324 5368 5408 5577 5720 5808 5856 6050 6100 6240 6292 6344 6400 6600 6655 6710 6760 6864 7040 7150 7260 7320 7381 7436 7744 7800 7808 7865 7930 7986 8052 8112 8320 8448 8450 8580 8723 8800 9075 9150 9152 9295 9438 9516 9600 9680 9760 9984 10065 10140 10309 10400 10560 10648 10725 10736 10816 11154 11440 11616 11712 11895 12100 12200 12480 12584 12675 12688 13200 13310 13420 13520 13728 14080 14300 14520 14640 14762 14872 15488 15600 15616 15730 15860 15972 16104 16224 16640 16775 16900 17160 17303 17446 17600 18150 18300 18304 18590 18876 19032 19200 19360 19520 19825 19965 20130 20280 20449 20618 20800 21120 21296 21450 21472 21632 22143 22308 22880 23232 23424 23595 23790 24200 24400 24960 25168 25350 25376 26169 26400 26620 26840 27040 27456 27885 28600 29040 29280 29524 29744 30927 30976 31200 31460 31720 31944 32208 32448 33275 33550 33800 34320 34606 34892 35200 36300 36600 36608 36905 37180 37752 38064 38720 39040 39325 39650 39930 40260 40560 40898 41236 41600 42240 42592 42900 42944 43264 43615 44286 44616 45760 46464 46475 46848 47190 47580 48400 48800 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2766880078105 2830382243832 2853773832624 2902956147520 2926947520640 2948314837325 2971977482496 2972681075650 3018414630660 3095809877600 3118878505600 3166861251840 3192553936275 3216343458900 3219642272704 3242924809800 3269949183215 3320256093726 3349564785600 3377247139200 3405390865360 3430766356160 3459119797120 3483547377024 3512337024768 3537977804790 3567217290780 3628695184400 3658684400800 3714971853120 3742654206720 3773018288325 3773842991776 3805031776832 3923939019858 3958576564800 3991292073600 4024552840880 4086469038432 4116919627392 4150943756544 4256738581700 4288457945200 4323899746400 4354434221280 4390421280960 4427008124968 4459021613475 4466086380800 4643714816400 4678317758400 4717303739720 4756289721040 4829463409056 4953295804160 5030691051100 5108086298040 5146149534240 5188679695680 5231918693144 5278102086400 5443042776600 5448625384576 5488026601200 5533760156210 5660764487664 5707547665248 5805912295040 5853895041280 5896629674650 5945362151300 6036829261320 6191619755200 6237757011200 6385107872550 6432686917800 6439284545408 6485849619600 6539898366430 6640512187452 6699129571200 6754494278400 6810781730720 6861532712320 6918239594240 6967094754048 7075955609580 7134434581560 7193888203073 7257390368800 7317368801600 7429943706240 7546036576650 7547685983552 7610063553664 7847878039716 7917153129600 7982584147200 8049105681760 8172938076864 8233839254784 8300640234315 8513477163400 8576915890400 8647799492800 8708868442560 8780842561920 8844944511975 8854016249936 8918043226950 9287429632800 9356635516800 9434607479440 9512579442080 9658926818112 9809847549645 10061382102200 10216172596080 10292299068480 10377359391360 10463837386288 10886085553200 10897250769152 10976053202400 11067520312420 11321528975328 11415095330496 11611824590080 11793259349300 11890724302600 12073658522640 12383239510400 12770215745100 12865373835600 12878569090816 12971699239200 13079796732860 13281024374904 13398259142400 13621563461440 13723065424640 13834400390525 14151911219160 14268869163120 14387776406146 14514780737600 14634737603200 14859887412480 15092073153300 15095371967104 15220127107328 15695756079432 15834306259200 16098211363520 16345876153728 16349745916075 16601280468630 17026954326800 17153831780800 17295598985600 17417736885120 17561685123840 17689889023950 17708032499872 17836086453900 18574859265600 18713271033600 18869214958880 19025158884160 19317853636224 19619695099290 20122764204400 20432345192160 20584598136960 20754718782720 20927674772576 21581664609219 21772171106400 21952106404800 22135040624840 22643057950656 22830190660992 23586518698600 23781448605200 24147317045280 24766479020800 25540431490200 25730747671200 25943398478400 26159593465720 26562048749808 27243126922880 27668800781050 28303822438320 28537738326240 28775552812292 29029561475200 29269475206400 30184146306600 30190743934208 31391512158864 32196422727040 32691752307456 32699491832150 33202560937260 34053908653600 34307663561600 34591197971200 34835473770240 35379778047900 35416064999744 35672172907800 35969441015365 37149718531200 37738429917760 38050317768320 38635707272448 39239390198580 40245528408800 40864690384320 41169196273920 41503201171575 41855349545152 43163329218438 43544342212800 43904212809600 44270081249680 45286115901312 45660381321984 47173037397200 47562897210400 48294634090560 49049237748225 51080862980400 51461495342400 51886796956800 52319186931440 53124097499616 54486253845760 55337601562100 56607644876640 57075476652480 57551105624584 58059122950400 60368292613200 62783024317728 64392845454080 65398983664300 66405121874520 68107817307200 68615327123200 70759556095800 70832129999488 71344345815600 71938882030730 74299437062400 75476859835520 76100635536640 78478780397160 80491056817600 81729380768640 83006402343150 83710699090304 86326658436876 87088684425600 87808425619200 88540162499360 90572231802624 94346074794400 95125794420800 96589268181120 98098475496450 102161725960800 102922990684800 103773593913600 104638373862880 106248194999232 107908323046095 110675203124200 113215289753280 114150953304960 115102211249168 120736585226400 125566048635456 130797967328600 132810243749040 136215634614400 141519112191600 141664259998976 142688691631200 143877764061460 150953719671040 156957560794320 160982113635200 163458761537280 166012804686300 167421398180608 172653316873752 174177368851200 177080324998720 179847205076825 188692149588800 190251588841600 193178536362240 196196950992900 204323451921600 205845981369600 209276747725760 212496389998464 215816646092190 221350406248400 226430579506560 228301906609920 230204422498336 241473170452800 251132097270912 261595934657200 265620487498080 272431269228800 283038224383200 285377383262400 287755528122920 313915121588640 321964227270400 332025609372600 345306633747504 354160649997440 359694410153650 377384299177600 380503177683200 392393901985800 408646903843200 418553495451520 424992779996928 431633292184380 442700812496800 452861159013120 460408844996672 482946340905600 502264194541824 523191869314400 531240974996160 539541615230475 566076448766400 570754766524800 575511056245840 627830243177280 664051218745200 690613267495008 708321299994880 719388820307300 754768598355200 784787803971600 817293807686400 837106990903040 863266584368760 885401624993600 920817689993344 965892681811200 1046383738628800 1062481949992320 1079083230460950 1132152897532800 1141509533049600 1151022112491680 1255660486354560 1328102437490400 1381226534990016 1438777640614600 1569575607943200 1726533168737520 1770803249987200 1841635379986688 2092767477257600 2124963899984640 2158166460921900 2264305795065600 2302044224983360 2511320972709120 2656204874980800 2762453069980032 2877555281229200 3139151215886400 3453066337475040 3541606499974400 4185534954515200 4316332921843800 4604088449966720 5312409749961600 5524906139960064 5755110562458400 6278302431772800 6906132674950080 8632665843687600 9208176899933440 10624819499923200 11510221124916800 12556604863545600 13812265349900160 17265331687375200 23020442249833600 27624530699800320 34530663374750400 46040884499667200 69061326749500800 138122653499001600
- Sum of all divisors σ(n): 551818630275268608
- Sum of proper divisors (its aliquot sum) s(n): 413695976776267008
- 138122653499001600 is an abundant number, because the sum of its proper divisors (413695976776267008) is greater than itself. Its abundance is 275573323277265408
Bases of 138122653499001600
- Binary: 1111010101011010111010010010100010011111000001011000000002
- Hexadecimal: 0x1EAB5D2513E0B00
- Base-36: 11S0E71K2NEO
Squares and roots of 138122653499001600
- 138122653499001600 squared (1381226534990016002) is 19077867409605258935492196802560000
- 138122653499001600 cubed (1381226534990016003) is 2635085669716802408903017660392607383672324096000000
-
The
square root of 138122653499001600 is 371648561.8147897529 -
The
cube root of 138122653499001600 is 516917.9789981213
Scales and comparisons
How big is 138122653499001600?- 138,122,653,499,001,600 seconds is equal to 4,391,873,139 years, 44 weeks, 1 day, 2 hours, 40 minutes.
-
To count from 1 to 138,122,653,499,001,600 would take you about thirteen billion, one hundred seventy-five million, six hundred nineteen thousand, four hundred nineteen 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 138122653499001600 cubic inches would be around 43076.5 feet tall.
Recreational maths with 138122653499001600
- 138122653499001600 backwards is 006100994356221831
- 138122653499001600 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138122653499001600's digits is 60
- More coming soon!
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"Number 138122653499001600 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 138122653499001600 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138122653499001600/
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The information we have on file for 138122653499001600 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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