136315542631968000
136,315,542,631,968,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 136315542631968000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2700 divisors.
136315542631968000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, seven hundred divisors.
Prime factorization of 136315542631968000:
28 × 34 × 53 × 72 × 1814
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 181 × 181 × 181 × 181)See below for interesting mathematical facts about the number 136315542631968000 from the Numbermatics database.
Names of 136315542631968000
- Cardinal: 136315542631968000 can be written as One hundred thirty-six quadrillion, three hundred fifteen trillion, five hundred forty-two billion, six hundred thirty-one million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.36315542631968 × 1017
Factors of 136315542631968000
Divisors of 136315542631968000
- Number of divisors d(n): 2700
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 81 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 162 168 175 180 181 189 192 196 200 210 216 224 225 240 245 250 252 256 270 280 288 294 300 315 320 324 336 350 360 362 375 378 384 392 400 405 420 432 441 448 450 480 490 500 504 525 540 543 560 567 576 588 600 630 640 648 672 675 700 720 724 735 750 756 768 784 800 810 840 864 875 882 896 900 905 945 960 980 1000 1008 1050 1080 1086 1120 1125 1134 1152 1176 1200 1225 1260 1267 1280 1296 1323 1344 1350 1400 1440 1448 1470 1500 1512 1568 1575 1600 1620 1629 1680 1728 1750 1764 1792 1800 1810 1890 1920 1960 2000 2016 2025 2100 2160 2172 2205 2240 2250 2268 2304 2352 2400 2450 2520 2534 2592 2625 2646 2688 2700 2715 2800 2835 2880 2896 2940 3000 3024 3136 3150 3200 3240 3258 3360 3375 3456 3500 3528 3600 3620 3675 3780 3801 3840 3920 3969 4000 4032 4050 4200 4320 4344 4410 4480 4500 4525 4536 4704 4725 4800 4887 4900 5040 5068 5184 5250 5292 5376 5400 5430 5600 5670 5760 5792 5880 6000 6048 6125 6272 6300 6335 6400 6480 6516 6615 6720 6750 6912 7000 7056 7200 7240 7350 7560 7602 7840 7875 7938 8000 8064 8100 8145 8400 8640 8688 8820 8869 8960 9000 9050 9072 9408 9450 9600 9774 9800 10080 10125 10136 10368 10500 10584 10800 10860 11025 11200 11340 11403 11520 11584 11760 12000 12096 12250 12544 12600 12670 12960 13032 13230 13440 13500 13575 14000 14112 14175 14400 14480 14661 14700 15120 15204 15680 15750 15876 16000 16128 16200 16290 16800 17280 17376 17640 17738 18000 18100 18144 18375 18816 18900 19005 19200 19548 19600 19845 20160 20250 20272 20736 21000 21168 21600 21720 22050 22400 22625 22680 22806 23168 23520 23625 24000 24192 24435 24500 25200 25340 25920 26064 26460 26607 26880 27000 27150 28000 28224 28350 28800 28960 29322 29400 30240 30408 31360 31500 31675 31752 32000 32400 32580 32761 33075 33600 34209 34560 34752 35280 35476 36000 36200 36288 36750 37632 37800 38010 39096 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8452104577875 8519721414498 8586264968000 8654955087744 8693593280100 8965768392000 9015578216400 9273166165440 9297833888000 9414056811600 9466357127220 9616616764160 9659548089000 9736824473712 10041660599040 10097447602368 10142525493450 10303517961600 10460063124000 10518174585800 10758922070400 10818693859680 10866991600125 11127799398528 11269472770500 11359628552664 11591457706800 11767571014500 11832946409025 11954357856000 12020770955200 12171030592140 12364221553920 12552075748800 12621809502960 12879397452000 12982432631616 13147718232250 13448652588000 13463263469824 13523367324600 13909749248160 13946750832000 14199535690830 14424925146240 14489322133500 15025963694000 15062490898560 15146171403552 15213788240175 15369888672000 15455276942400 15690094686000 15777261878700 16228040789520 16736100998400 16829079337280 16904209155750 17039442828996 17172529936000 17309910175488 17387186560200 17931536784000 18031156432800 18546332330880 18828113623200 18932714254440 19319096178000 19473648947424 19721577348375 20194895204736 20285050986900 20607035923200 20920126248000 21036349171600 21299303536245 21517844140800 21637387719360 21733983200250 22255598797056 22538945541000 22719257105328 23182915413600 23535142029000 23665892818050 24041541910400 24342061184280 25104151497600 25243619005920 25356313733625 25758794904000 25964865263232 26295436464500 26897305176000 27046734649200 27819498496320 27893501664000 28399071381660 28849850292480 28978644267000 30051927388000 30124981797120 30292342807104 30427576480350 30910553884800 31380189372000 31554523757400 32456081579040 33658158674560 33808418311500 34078885657992 34345059872000 34774373120400 35498839227075 35863073568000 36062312865600 37092664661760 37656227246400 37865428508880 38638192356000 38947297894848 39443154696750 40389790409472 40570101973800 41840252496000 42072698343200 42598607072490 43274775438720 43467966400500 45077891082000 45438514210656 46365830827200 47070284058000 47331785636100 48083083820800 48684122368560 50208302995200 50487238011840 50712627467250 51517589808000 51929730526464 52590872929000 53794610352000 54093469298400 55638996992640 56798142763320 57957288534000 59164732045125 60103854776000 60584685614208 60855152960700 61821107769600 62760378744000 63109047514800 64912163158080 67316317349120 67616836623000 68157771315984 69548746240800 70997678454150 72124625731200 75312454492800 75730857017760 76068941200875 77276384712000 77894595789696 78886309393500 81140203947600 83680504992000 84145396686400 85197214144980 86549550877440 86935932801000 90155782164000 90877028421312 92731661654400 94140568116000 94663571272200 97368244737120 100974476023680 101425254934500 103035179616000 105181745858000 106496517681225 107589220704000 108186938596800 111277993985280 113596285526640 115914577068000 118329464090250 120207709552000 121169371228416 121710305921400 125520757488000 126218095029600 129824326316160 135233673246000 136315542631968 139097492481600 141995356908300 144249251462400 150624908985600 151461714035520 152137882401750 154552769424000 155789191579392 157772618787000 162280407895200 168290793372800 170394428289960 173871865602000 177494196135375 180311564328000 181754056842624 185463323308800 188281136232000 189327142544400 194736489474240 201948952047360 202850509869000 210363491716000 212993035362450 216373877193600 227192571053280 231829154136000 236658928180500 240415419104000 243420611842800 251041514976000 252436190059200 259648652632320 270467346492000 272631085263936 278194984963200 283990713816600 302923428071040 304275764803500 309105538848000 315545237574000 324560815790400 336581586745600 340788856579920 347743731204000 354988392270750 360623128656000 363508113685248 376562272464000 378654285088800 389472978948480 405701019738000 420726983432000 425986070724900 432747754387200 454385142106560 463658308272000 473317856361000 486841223685600 504872380118400 532482588406125 540934692984000 545262170527872 556389969926400 567981427633200 605846856142080 608551529607000 631090475148000 649121631580800 681577713159840 695487462408000 709976784541500 721246257312000 753124544928000 757308570177600 778945957896960 811402039476000 841453966864000 851972141449800 908770284213120 927316616544000 946635712722000 973682447371200 1009744760236800 1064965176812250 1081869385968000 1090524341055744 1135962855266400 1217103059214000 1262180950296000 1298243263161600 1363155426319680 1390974924816000 1419953569083000 1514617140355200 1622804078952000 1682907933728000 1703944282899600 1817540568426240 1893271425444000 1947364894742400 2129930353624500 2163738771936000 2271925710532800 2434206118428000 2524361900592000 2726310852639360 2781949849632000 2839907138166000 3029234280710400 3245608157904000 3407888565799200 3786542850888000 3894729789484800 4259860707249000 4543851421065600 4868412236856000 5048723801184000 5452621705278720 5679814276332000 6491216315808000 6815777131598400 7573085701776000 8519721414498000 9087702842131200 9736824473712000 11359628552664000 13631554263196800 15146171403552000 17039442828996000 19473648947424000 22719257105328000 27263108526393600 34078885657992000 45438514210656000 68157771315984000 136315542631968000
- Sum of all divisors σ(n): 593370694804747860
- Sum of proper divisors (its aliquot sum) s(n): 457055152172779860
- 136315542631968000 is an abundant number, because the sum of its proper divisors (457055152172779860) is greater than itself. Its abundance is 320739609540811860
Bases of 136315542631968000
- Binary: 1111001000100101001000011100001111111000101101101000000002
- Hexadecimal: 0x1E44A4387F16D00
- Base-36: 11A7TRRS2800
Squares and roots of 136315542631968000
- 136315542631968000 squared (1363155426319680002) is 18581927163047885292695553024000000
- 136315542631968000 cubed (1363155426319680003) is 2533005484378578201004668924110522261471232000000000
-
The
square root of 136315542631968000 is 369209347.9747878755 -
The
cube root of 136315542631968000 is 514653.7310140081
Scales and comparisons
How big is 136315542631968000?- 136,315,542,631,968,000 seconds is equal to 4,334,412,604 years, 2 weeks.
-
To count from 1 to 136,315,542,631,968,000 would take you about thirteen billion, three million, two hundred thirty-seven thousand, eight hundred twelve 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 136315542631968000 cubic inches would be around 42887.8 feet tall.
Recreational maths with 136315542631968000
- 136315542631968000 backwards is 000869136245513631
- 136315542631968000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 136315542631968000's digits is 63
- More coming soon!
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"Number 136315542631968000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 136315542631968000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/136315542631968000/
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The information we have on file for 136315542631968000 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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