42354824201213270400
42,354,824,201,213,270,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 42354824201213270400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
42354824201213270400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 42354824201213270400:
27 × 32 × 52 × 23 × 809 × 79037653469
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 23 × 809 × 79037653469)See below for interesting mathematical facts about the number 42354824201213270400 from the Numbermatics database.
Names of 42354824201213270400
- Cardinal: 42354824201213270400 can be written as Forty-two quintillion, three hundred fifty-four quadrillion, eight hundred twenty-four trillion, two hundred one billion, two hundred thirteen million, two hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 4.23548242012132704 × 1019
Factors of 42354824201213270400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 79037654311
Divisors of 42354824201213270400
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 32 36 40 45 46 48 50 60 64 69 72 75 80 90 92 96 100 115 120 128 138 144 150 160 180 184 192 200 207 225 230 240 276 288 300 320 345 360 368 384 400 414 450 460 480 552 575 576 600 640 690 720 736 800 809 828 900 920 960 1035 1104 1150 1152 1200 1380 1440 1472 1600 1618 1656 1725 1800 1840 1920 2070 2208 2300 2400 2427 2760 2880 2944 3200 3236 3312 3450 3600 3680 4045 4140 4416 4600 4800 4854 5175 5520 5760 6472 6624 6900 7200 7281 7360 8090 8280 8832 9200 9600 9708 10350 11040 12135 12944 13248 13800 14400 14562 14720 16180 16560 18400 18607 19416 20225 20700 22080 24270 25888 26496 27600 28800 29124 32360 33120 36405 36800 37214 38832 40450 41400 44160 48540 51776 55200 55821 58248 60675 64720 66240 72810 73600 74428 77664 80900 82800 93035 97080 103552 110400 111642 116496 121350 129440 132480 145620 148856 155328 161800 165600 167463 182025 186070 194160 220800 223284 232992 242700 258880 279105 291240 297712 310656 323600 331200 334926 364050 372140 388320 446568 465175 465984 485400 517760 558210 582480 595424 647200 662400 669852 728100 744280 776640 837315 893136 930350 931968 970800 1116420 1164960 1190848 1294400 1339704 1395525 1456200 1488560 1553280 1674630 1786272 1860700 1941600 2232840 2329920 2381696 2588800 2679408 2791050 2912400 2977120 3349260 3572544 3721400 3883200 4186575 4465680 4659840 5358816 5582100 5824800 5954240 6698520 7145088 7442800 7766400 8373150 8931360 10717632 11164200 11649600 11908480 13397040 14885600 16746300 17862720 21435264 22328400 23299200 26794080 29771200 33492600 35725440 44656800 53588160 59542400 66985200 89313600 107176320 133970400 178627200 267940800 535881600 79037653469 158075306938 237112960407 316150613876 395188267345 474225920814 632301227752 711338881221 790376534690 948451841628 1185564802035 1264602455504 1422677762442 1580753069380 1817866029787 1896903683256 1975941336725 2371129604070 2529204911008 2845355524884 3161506138760 3556694406105 3635732059574 3793807366512 3951882673450 4742259208140 5058409822016 5453598089361 5690711049768 5927824010175 6323012277520 7113388812210 7271464119148 7587614733024 7903765346900 9089330148935 9484518416280 10116819644032 10907196178722 11381422099536 11855648020350 12646024555040 14226777624420 14542928238296 15175229466048 15807530693800 16360794268083 17783472030525 18178660297870 18969036832560 21814392357444 22762844199072 23711296040700 25292049110080 27267990446805 28453555248840 29085856476592 30350458932096 31615061387600 32721588536166 35566944061050 36357320595740 37938073665120 43628784714888 45446650744675 45525688398144 47422592081400 50584098220160 54535980893610 56907110497680 58171712953184 63230122775200 63941461656421 65443177072332 71133888122100 72714641191480 75876147330240 81803971340415 87257569429776 90893301489350 91051376796288 94845184162800 109071961787220 113814220995360 116343425906368 126460245550400 127882923312842 130886354144664 136339952234025 142267776244200 145429282382960 151752294660480 163607942680830 174515138859552 181786602978700 189690368325600 191824384969263 218143923574440 227628441990720 232686851812736 252920491100800 255765846625684 261772708289328 272679904468050 284535552488400 290858564765920 319707308282105 327215885361660 349030277719104 363573205957400 379380736651200 383648769938526 409019856702075 436287847148880 455256883981440 511531693251368 523545416578656 545359808936100 569071104976800 575473154907789 581717129531840 639414616564210 654431770723320 698060555438208 727146411914800 758761473302400 767297539877052 818039713404150 872575694297760 959121924846315 1023063386502736 1047090833157312 1090719617872200 1138142209953600 1150946309815578 1163434259063680 1278829233128420 1308863541446640 1454292823829600 1470653618097683 1534595079754104 1598536541410525 1636079426808300 1745151388595520 1918243849692630 2046126773005472 2094181666314624 2181439235744400 2276284419907200 2301892619631156 2557658466256840 2617727082893280 2877365774538945 2908585647659200 2941307236195366 3069190159508208 3197073082821050 3272158853616600 3490302777191040 3836487699385260 4092253546010944 4362878471488800 4411960854293049 4603785239262312 4795609624231575 5115316932513680 5235454165786560 5754731549077890 5817171295318400 5882614472390732 6138380319016416 6394146165642100 6544317707233200 7353268090488415 7672975398770520 8184507092021888 8725756942977600 8823921708586098 9207570478524624 9591219248463150 10230633865027360 10470908331573120 11509463098155780 11765228944781464 12276760638032832 12788292331284200 13088635414466400 13235882562879147 14386828872694725 14706536180976830 15345950797541040 17451513885955200 17647843417172196 18415140957049248 19182438496926300 20461267730054720 22059804271465245 23018926196311560 23530457889562928 24553521276065664 25576584662568400 26177270828932800 26471765125758294 28773657745389450 29413072361953660 30691901595082080 35295686834344392 36766340452442075 36830281914098496 38364876993852600 40922535460109440 44119608542930490 46037852392623120 47060915779125856 51153169325136800 52354541657865600 52943530251516588 57547315490778900 58826144723907320 61383803190164160 66179412814395735 70591373668688784 73532680904884150 73660563828196992 76729753987705200 88239217085860980 92075704785246240 94121831558251712 102306338650273600 105887060503033176 110299021357326225 115094630981557800 117652289447814640 122767606380328320 132358825628791470 141182747337377568 147065361809768300 153459507975410400 176478434171721960 184151409570492480 188243663116503424 204612677300547200 211774121006066352 220598042714652450 230189261963115600 235304578895629280 264717651257582940 282365494674755136 294130723619536600 306919015950820800 330897064071978675 352956868343443920 368302819140984960 423548242012132704 441196085429304900 460378523926231200 470609157791258560 529435302515165880 564730989349510272 588261447239073200 613838031901641600 661794128143957350 705913736686887840 847096484024265408 882392170858609800 920757047852462400 941218315582517120 1058870605030331760 1176522894478146400 1323588256287914700 1411827473373775680 1694192968048530816 1764784341717219600 1841514095704924800 2117741210060663520 2353045788956292800 2647176512575829400 2823654946747551360 3529568683434439200 4235482420121327040 4706091577912585600 5294353025151658800 7059137366868878400 8470964840242654080 10588706050303317600 14118274733737756800 21177412100606635200 42354824201213270400
- Sum of all divisors σ(n): 157897598679938052000
- Sum of proper divisors (its aliquot sum) s(n): 115542774478724781600
- 42354824201213270400 is an abundant number, because the sum of its proper divisors (115542774478724781600) is greater than itself. Its abundance is 73187950277511511200
Bases of 42354824201213270400
- Binary: 1001001011110010101001000000110100100111010110111101011001100000002
- Hexadecimal: 0x24BCA90349D6F5980
- Base-36: 8XSIK47NCC4G0
Squares and roots of 42354824201213270400
- 42354824201213270400 squared (423548242012132704002) is 1793931133115681348999599385063516160000
- 42354824201213270400 cubed (423548242012132704003) is 75981637772198005343544593781366616336414838276849664000000
-
The
square root of 42354824201213270400 is 6508058404.8710926117 -
The
cube root of 42354824201213270400 is 3485787.9251581781
Scales and comparisons
How big is 42354824201213270400?- 42,354,824,201,213,270,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,354,824,201,213,270,400 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 42354824201213270400 cubic inches would be around 290482.3 feet tall.
Recreational maths with 42354824201213270400
- 42354824201213270400 backwards is 00407231210242845324
- The number of decimal digits it has is: 20
- The sum of 42354824201213270400's digits is 54
- More coming soon!
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The information we have on file for 42354824201213270400 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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