342393831295109513856000
342,393,831,295,109,513,856,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 342393831295109513856000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 528 divisors.
342393831295109513856000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 342393831295109513856000:
210 × 32 × 53 × 47431 × 6266299834363
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 47431 × 6266299834363)See below for interesting mathematical facts about the number 342393831295109513856000 from the Numbermatics database.
Names of 342393831295109513856000
- Cardinal: 342393831295109513856000 can be written as Three hundred forty-two sextillion, three hundred ninety-three quintillion, eight hundred thirty-one quadrillion, two hundred ninety-five trillion, one hundred nine billion, five hundred thirteen million, eight hundred fifty-six thousand.
Scientific notation
- Scientific notation: 3.42393831295109513856 × 1023
Factors of 342393831295109513856000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 6266299881804
Divisors of 342393831295109513856000
- Number of divisors d(n): 528
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 128 144 150 160 180 192 200 225 240 250 256 288 300 320 360 375 384 400 450 480 500 512 576 600 640 720 750 768 800 900 960 1000 1024 1125 1152 1200 1280 1440 1500 1536 1600 1800 1920 2000 2250 2304 2400 2560 2880 3000 3072 3200 3600 3840 4000 4500 4608 4800 5120 5760 6000 6400 7200 7680 8000 9000 9216 9600 11520 12000 12800 14400 15360 16000 18000 19200 23040 24000 25600 28800 32000 36000 38400 46080 47431 48000 57600 64000 72000 76800 94862 96000 115200 128000 142293 144000 189724 192000 230400 237155 284586 288000 379448 384000 426879 474310 569172 576000 711465 758896 853758 948620 1138344 1152000 1185775 1422930 1517792 1707516 1897240 2134395 2276688 2371550 2845860 3035584 3415032 3557325 3794480 4268790 4553376 4743100 5691720 5928875 6071168 6830064 7114650 7588960 8537580 9106752 9486200 10671975 11383440 11857750 12142336 13660128 14229300 15177920 17075160 17786625 18213504 18972400 21343950 22766880 23715500 24284672 27320256 28458600 30355840 34150320 35573250 36427008 37944800 42687900 45533760 47431000 48569344 53359875 54640512 56917200 60711680 68300640 71146500 72854016 75889600 85375800 91067520 94862000 106719750 109281024 113834400 121423360 136601280 142293000 145708032 151779200 170751600 182135040 189724000 213439500 218562048 227668800 242846720 273202560 284586000 303558400 341503200 364270080 379448000 426879000 437124096 455337600 546405120 569172000 607116800 683006400 728540160 758896000 853758000 910675200 1092810240 1138344000 1214233600 1366012800 1517792000 1707516000 1821350400 2185620480 2276688000 2732025600 3035584000 3415032000 3642700800 4553376000 5464051200 6071168000 6830064000 9106752000 10928102400 13660128000 18213504000 27320256000 54640512000 6266299834363 12532599668726 18798899503089 25065199337452 31331499171815 37597799006178 50130398674904 56396698509267 62662998343630 75195598012356 93994497515445 100260797349808 112793397018534 125325996687260 150391196024712 156657495859075 187988995030890 200521594699616 225586794037068 250651993374520 281983492546335 300782392049424 313314991718150 375977990061780 401043189399232 451173588074136 469972487577225 501303986749040 563966985092670 601564784098848 626629983436300 751955980123560 783287479295375 802086378798464 902347176148272 939944975154450 1002607973498080 1127933970185340 1203129568197696 1253259966872600 1409917462731675 1503911960247120 1566574958590750 1604172757596928 1804694352296544 1879889950308900 2005215946996160 2255867940370680 2349862437886125 2406259136395392 2506519933745200 2819834925463350 3007823920494240 3133149917181500 3208345515193856 3609388704593088 3759779900617800 4010431893992320 4511735880741360 4699724875772250 4812518272790784 5013039867490400 5639669850926700 6015647840988480 6266299834363000 6416691030387712 7049587313658375 7218777409186176 7519559801235600 8020863787984640 9023471761482720 9399449751544500 9625036545581568 10026079734980800 11279339701853400 12031295681976960 12532599668726000 14099174627316750 14437554818372352 15039119602471200 16041727575969280 18046943522965440 18798899503089000 19250073091163136 20052159469961600 22558679403706800 24062591363953920 25065199337452000 28198349254633500 28875109636744704 30078239204942400 32083455151938560 36093887045930880 37597799006178000 40104318939923200 45117358807413600 48125182727907840 50130398674904000 56396698509267000 57750219273489408 60156478409884800 72187774091861760 75195598012356000 80208637879846400 90234717614827200 96250365455815680 100260797349808000 112793397018534000 120312956819769600 144375548183723520 150391196024712000 160417275759692800 180469435229654400 200521594699616000 225586794037068000 240625913639539200 288751096367447040 297216867443671453 300782392049424000 360938870459308800 401043189399232000 451173588074136000 481251827279078400 594433734887342906 601564784098848000 721877740918617600 802086378798464000 891650602331014359 902347176148272000 1188867469774685812 1203129568197696000 1443755481837235200 1486084337218357265 1783301204662028718 1804694352296544000 2377734939549371624 2406259136395392000 2674951806993043077 2972168674436714530 3566602409324057436 3609388704593088000 4458253011655071795 4755469879098743248 5349903613986086154 5944337348873429060 7133204818648114872 7218777409186176000 7430421686091786325 8916506023310143590 9510939758197486496 10699807227972172308 11888674697746858120 13374759034965215385 14266409637296229744 14860843372183572650 17833012046620287180 19021879516394972992 21399614455944344616 22291265058275358975 23777349395493716240 26749518069930430770 28532819274592459488 29721686744367145300 35666024093240574360 37152108430458931625 38043759032789945984 42799228911888689232 44582530116550717950 47554698790987432480 53499036139860861540 57065638549184918976 59443373488734290600 66873795174826076925 71332048186481148720 74304216860917863250 76087518065579891968 85598457823777378464 89165060233101435900 95109397581974864960 106998072279721723080 111456325291376794875 114131277098369837952 118886746977468581200 133747590349652153850 142664096372962297440 148608433721835726500 152175036131159783936 171196915647554756928 178330120466202871800 190218795163949729920 213996144559443446160 222912650582753589750 228262554196739675904 237773493954937162400 267495180699304307700 285328192745924594880 297216867443671453000 304350072262319567872 334368975874130384625 342393831295109513856 356660240932405743600 380437590327899459840 427992289118886892320 445825301165507179500 456525108393479351808 475546987909874324800 534990361398608615400 570656385491849189760 594433734887342906000 668737951748260769250 684787662590219027712 713320481864811487200 760875180655798919680 855984578237773784640 891650602331014359000 913050216786958703616 951093975819748649600 1069980722797217230800 1141312770983698379520 1188867469774685812000 1337475903496521538500 1369575325180438055424 1426640963729622974400 1521750361311597839360 1711969156475547569280 1783301204662028718000 1902187951639497299200 2139961445594434461600 2282625541967396759040 2377734939549371624000 2674951806993043077000 2739150650360876110848 2853281927459245948800 3423938312951095138560 3566602409324057436000 3804375903278994598400 4279922891188868923200 4565251083934793518080 4755469879098743248000 5349903613986086154000 5706563854918491897600 6847876625902190277120 7133204818648114872000 7608751806557989196800 8559845782377737846400 9510939758197486496000 10699807227972172308000 11413127709836983795200 13695753251804380554240 14266409637296229744000 17119691564755475692800 19021879516394972992000 21399614455944344616000 22826255419673967590400 28532819274592459488000 34239383129510951385600 38043759032789945984000 42799228911888689232000 57065638549184918976000 68478766259021902771200 85598457823777378464000 114131277098369837952000 171196915647554756928000 342393831295109513856000
- Sum of all divisors σ(n): 1233867150679752495274368
- Sum of proper divisors (its aliquot sum) s(n): 891473319384642981418368
- 342393831295109513856000 is an abundant number, because the sum of its proper divisors (891473319384642981418368) is greater than itself. Its abundance is 549079488089533467562368
Bases of 342393831295109513856000
- Binary: 10010001000000100110100111011111111101010100010110011000101101111000100000000002
- Hexadecimal: 0x488134EFFAA2CC5BC400
- Base-36: 1JR7NT8AAWA59FK0
Squares and roots of 342393831295109513856000
- 342393831295109513856000 squared (3423938312951095138560002) is 117233535708943915114496469840324655988736000000
- 342393831295109513856000 cubed (3423938312951095138560003) is 40140039447657339790877705045213101040546787061662319971926016000000000
-
The
square root of 342393831295109513856000 is 585144282459.5567334321 -
The
cube root of 342393831295109513856000 is 69958739.7183043461
Scales and comparisons
How big is 342393831295109513856000?- 342,393,831,295,109,513,856,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 342,393,831,295,109,513,856,000 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 342393831295109513856000 cubic inches would be around 5829895 feet tall.
Recreational maths with 342393831295109513856000
- 342393831295109513856000 backwards is 000658315901592138393243
- 342393831295109513856000 is a
Harshad number . - The number of decimal digits it has is: 24
- The sum of 342393831295109513856000's digits is 90
- More coming soon!
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The information we have on file for 342393831295109513856000 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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