120142139985284631544800
120,142,139,985,284,631,544,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 120142139985284631544800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 360 divisors.
120142139985284631544800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 120142139985284631544800:
25 × 34 × 52 × 120671 × 15364465117081
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 120671 × 15364465117081)See below for interesting mathematical facts about the number 120142139985284631544800 from the Numbermatics database.
Names of 120142139985284631544800
- Cardinal: 120142139985284631544800 can be written as One hundred twenty sextillion, one hundred forty-two quintillion, one hundred thirty-nine quadrillion, nine hundred eighty-five trillion, two hundred eighty-four billion, six hundred thirty-one million, five hundred forty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.201421399852846315448 × 1023
Factors of 120142139985284631544800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 15364465237762
Divisors of 120142139985284631544800
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 81 90 96 100 108 120 135 144 150 160 162 180 200 216 225 240 270 288 300 324 360 400 405 432 450 480 540 600 648 675 720 800 810 864 900 1080 1200 1296 1350 1440 1620 1800 2025 2160 2400 2592 2700 3240 3600 4050 4320 5400 6480 7200 8100 10800 12960 16200 21600 32400 64800 120671 241342 362013 482684 603355 724026 965368 1086039 1206710 1448052 1810065 1930736 2172078 2413420 2896104 3016775 3258117 3620130 3861472 4344156 4826840 5430195 5792208 6033550 6516234 7240260 8688312 9050325 9653680 9774351 10860390 11584416 12067100 13032468 14480520 16290585 17376624 18100650 19307360 19548702 21720780 24134200 26064936 27150975 28961040 32581170 34753248 36201300 39097404 43441560 48268400 48871755 52129872 54301950 57922080 65162340 72402600 78194808 81452925 86883120 96536800 97743510 104259744 108603900 130324680 144805200 156389616 162905850 173766240 195487020 217207800 244358775 260649360 289610400 312779232 325811700 390974040 434415600 488717550 521298720 651623400 781948080 868831200 977435100 1303246800 1563896160 1954870200 2606493600 3909740400 7819480800 15364465117081 30728930234162 46093395351243 61457860468324 76822325585405 92186790702486 122915720936648 138280186053729 153644651170810 184373581404972 230466976756215 245831441873296 276560372107458 307289302341620 368747162809944 384111627927025 414840558161187 460933953512430 491662883746592 553120744214916 614578604683240 691400930268645 737494325619888 768223255854050 829681116322374 921867907024860 1106241488429832 1152334883781075 1229157209366480 1244521674483561 1382801860537290 1474988651239776 1536446511708100 1659362232644748 1843735814049720 2074202790805935 2212482976859664 2304669767562150 2458314418732960 2489043348967122 2765603721074580 3072893023416200 3318724465289496 3457004651343225 3687471628099440 4148405581611870 4424965953719328 4609339535124300 4978086697934244 5531207442149160 6145786046832400 6222608372417805 6637448930578992 6914009302686450 7374943256198880 8296811163223740 9218679070248600 9956173395868488 10371013954029675 11062414884298320 12291572093664800 12445216744835610 13274897861157984 13828018605372900 16593622326447480 18437358140497200 19912346791736976 20742027908059350 22124829768596640 24890433489671220 27656037210745800 31113041862089025 33187244652894960 36874716280994400 39824693583473952 41484055816118700 49780866979342440 55312074421491600 62226083724178050 66374489305789920 82968111632237400 99561733958684880 110624148842983200 124452167448356100 165936223264474800 199123467917369760 248904334896712200 331872446528949600 497808669793424400 995617339586848800 1854045370143281351 3708090740286562702 5562136110429844053 7416181480573125404 9270226850716406755 11124272220859688106 14832362961146250808 16686408331289532159 18540453701432813510 22248544441719376212 27810680552149220265 29664725922292501616 33372816662579064318 37080907402865627020 44497088883438752424 46351134253582033775 50059224993868596477 55621361104298440530 59329451844585003232 66745633325158128636 74161814805731254040 83432041656447660795 88994177766877504848 92702268507164067550 100118449987737192954 111242722208596881060 133491266650316257272 139053402760746101325 148323629611462508080 150177674981605789431 166864083312895321590 177988355533755009696 185404537014328135100 200236899975474385908 222485444417193762120 250296124969342982385 266982533300632514544 278106805521492202650 296647259222925016160 300355349963211578862 333728166625790643180 370809074028656270200 400473799950948771816 417160208282238303975 444970888834387524240 500592249938685964770 533965066601265029088 556213611042984405300 600710699926423157724 667456333251581286360 741618148057312540400 750888374908028947155 800947599901897543632 834320416564476607950 889941777668775048480 1001184499877371929540 1112427222085968810600 1201421399852846315448 1251480624846714911925 1334912666503162572720 1483236296114625080800 1501776749816057894310 1601895199803795087264 1668640833128953215900 2002368999754743859080 2224854444171937621200 2402842799705692630896 2502961249693429823850 2669825333006325145440 3003553499632115788620 3337281666257906431800 3754441874540144735775 4004737999509487718160 4449708888343875242400 4805685599411385261792 5005922499386859647700 6007106999264231577240 6674563332515812863600 7508883749080289471550 8009475999018975436320 10011844998773719295400 12014213998528463154480 13349126665031625727200 15017767498160578943100 20023689997547438590800 24028427997056926308960 30035534996321157886200 40047379995094877181600 60071069992642315772400 120142139985284631544800
- Sum of all divisors σ(n): 438138654377542975023552
- Sum of proper divisors (its aliquot sum) s(n): 317996514392258343478752
- 120142139985284631544800 is an abundant number, because the sum of its proper divisors (317996514392258343478752) is greater than itself. Its abundance is 197854374406973711933952
Bases of 120142139985284631544800
- Binary: 110010111000011101011001000000010000001000111001000001011011011000011111000002
- Hexadecimal: 0x1970EB20204720B6C3E0
- Base-36: JKB3NLM75NWTA00
Squares and roots of 120142139985284631544800
- 120142139985284631544800 squared (1201421399852846315448002) is 14434133800243728286024097812772295234407040000
- 120142139985284631544800 cubed (1201421399852846315448003) is 1734147723595210440659224545503983910192354667712705353907195392000000
-
The
square root of 120142139985284631544800 is 346615262193.2344045305 -
The
cube root of 120142139985284631544800 is 49343708.6550093287
Scales and comparisons
How big is 120142139985284631544800?- 120,142,139,985,284,631,544,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 120,142,139,985,284,631,544,800 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 120142139985284631544800 cubic inches would be around 4111975.7 feet tall.
Recreational maths with 120142139985284631544800
- 120142139985284631544800 backwards is 008445136482589931241021
- 120142139985284631544800 is a
Harshad number . - The number of decimal digits it has is: 24
- The sum of 120142139985284631544800's digits is 90
- More coming soon!
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The information we have on file for 120142139985284631544800 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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