42101085831168000
42,101,085,831,168,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42101085831168000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4224 divisors.
42101085831168000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, two hundred twenty-four divisors.
Prime factorization of 42101085831168000:
221 × 3 × 53 × 7 × 133 × 592
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 13 × 59 × 59)See below for interesting mathematical facts about the number 42101085831168000 from the Numbermatics database.
Names of 42101085831168000
- Cardinal: 42101085831168000 can be written as Forty-two quadrillion, one hundred one trillion, eighty-five billion, eight hundred thirty-one million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.2101085831168 × 1016
Factors of 42101085831168000
Divisors of 42101085831168000
- Number of divisors d(n): 4224
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 59 60 64 65 70 75 78 80 84 91 96 100 104 105 112 118 120 125 128 130 140 150 156 160 168 169 175 177 182 192 195 200 208 210 224 236 240 250 256 260 273 280 295 300 312 320 325 336 338 350 354 364 375 384 390 400 413 416 420 448 455 472 480 500 507 512 520 525 546 560 590 600 624 640 650 672 676 700 708 728 750 767 768 780 800 826 832 840 845 875 885 896 910 944 960 975 1000 1014 1024 1040 1050 1092 1120 1180 1183 1200 1239 1248 1280 1300 1344 1352 1365 1400 1416 1456 1475 1500 1534 1536 1560 1600 1625 1652 1664 1680 1690 1750 1770 1792 1820 1888 1920 1950 2000 2028 2048 2065 2080 2100 2184 2197 2240 2275 2301 2360 2366 2400 2478 2496 2535 2560 2600 2625 2688 2704 2730 2800 2832 2912 2950 3000 3068 3072 3120 3200 3250 3304 3328 3360 3380 3481 3500 3540 3549 3584 3640 3776 3835 3840 3900 4000 4056 4096 4130 4160 4200 4225 4368 4394 4425 4480 4550 4602 4720 4732 4800 4875 4956 4992 5070 5120 5200 5250 5369 5376 5408 5460 5600 5664 5824 5900 5915 6000 6136 6144 6195 6240 6400 6500 6591 6608 6656 6720 6760 6825 6962 7000 7080 7098 7168 7280 7375 7552 7670 7680 7800 8000 8112 8192 8260 8320 8400 8450 8736 8788 8850 8960 9100 9204 9440 9464 9600 9750 9912 9971 9984 10140 10240 10325 10400 10443 10500 10738 10752 10816 10920 10985 11200 11328 11375 11505 11648 11800 11830 12000 12272 12288 12390 12480 12675 12800 13000 13182 13216 13312 13440 13520 13650 13924 14000 14160 14196 14336 14560 14750 15104 15340 15360 15379 15600 16000 16107 16224 16384 16520 16640 16800 16900 17405 17472 17576 17700 17745 17920 18200 18408 18880 18928 19175 19200 19500 19824 19942 19968 20280 20480 20650 20800 20886 21000 21125 21476 21504 21632 21840 21970 22125 22400 22656 22750 23010 23296 23600 23660 24000 24367 24544 24576 24780 24960 25350 25600 26000 26364 26432 26624 26845 26880 27040 27300 27848 28000 28320 28392 28672 29120 29500 29575 29913 30208 30680 30720 30758 30975 31200 32000 32214 32448 32768 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8919721574400 9148432384000 9252985896960 9397563801600 9514369679360 9581494272000 9638526976000 9964754042880 10024068055040 10120453324800 10193967513600 10278585408000 10379952128000 10525271457792 10795150213120 10963824435200 10978118860800 11149651968000 11566232371200 11746954752000 11862802432000 11892962099200 12028881666048 12094537728000 12455942553600 12530085068800 12650566656000 12742459392000 12954180255744 13156589322240 13493937766400 13704780544000 13722648576000 14033695277056 14271554519040 14457790464000 14866202624000 15036102082560 15421643161600 15569928192000 15662606336000 16038508888064 16192725319680 16445736652800 16607923404800 16867422208000 16989945856000 17542119096320 17794203648000 17839443148800 18296864768000 18505971793920 18795127603200 19162988544000 19277053952000 20048136110080 20240906649600 20387935027200 20557170816000 20759904256000 21050542915584 21590300426240 21927648870400 22299303936000 23132464742400 23493909504000 23785924198400 24057763332096 24911885107200 25060170137600 25301133312000 25484918784000 25908360511488 26313178644480 26987875532800 27409561088000 27445297152000 28067390554112 28543109038080 28915580928000 29732405248000 30072204165120 30843286323200 31139856384000 31325212672000 32385450639360 32891473305600 33734844416000 33979891712000 35084238192640 35588407296000 35678886297600 37590255206400 38554107904000 40096272220160 40481813299200 41114341632000 41519808512000 42101085831168 43180600852480 43855297740800 44598607872000 46264929484800 46987819008000 47571848396800 48115526664192 49823770214400 50120340275200 50602266624000 50969837568000 52626357288960 53975751065600 54819122176000 54890594304000 56134781108224 57831161856000 59464810496000 60144408330240 62279712768000 62650425344000 64770901278720 65782946611200 67469688832000 70168476385280 71357772595200 75180510412800 77108215808000 80192544440320 80963626598400 82228683264000 83039617024000 84202171662336 87710595481600 89197215744000 92529858969600 93975638016000 100240680550400 101204533248000 101939675136000 105252714577920 107951502131200 109638244352000 112269562216448 115662323712000 118929620992000 120288816660480 124559425536000 125300850688000 129541802557440 131565893222400 134939377664000 140336952770560 142715545190400 150361020825600 154216431616000 161927253196800 164457366528000 168404343324672 175421190963200 178394431488000 187951276032000 200481361100800 202409066496000 210505429155840 215903004262400 219276488704000 231324647424000 237859241984000 240577633320960 249118851072000 250601701376000 263131786444800 269878755328000 280673905541120 300722041651200 323854506393600 328914733056000 336808686649344 350842381926400 356788862976000 375902552064000 400962722201600 404818132992000 421010858311680 438552977408000 462649294848000 501203402752000 526263572889600 539757510656000 561347811082240 601444083302400 647709012787200 657829466112000 701684763852800 713577725952000 751805104128000 809636265984000 842021716623360 877105954816000 1002406805504000 1052527145779200 1079515021312000 1202888166604800 1315658932224000 1403369527705600 1503610208256000 1619272531968000 1684043433246720 1754211909632000 2004813611008000 2105054291558400 2631317864448000 2806739055411200 3007220416512000 3238545063936000 3508423819264000 4210108583116800 5262635728896000 6014440833024000 7016847638528000 8420217166233600 10525271457792000 14033695277056000 21050542915584000 42101085831168000
- Sum of all divisors σ(n): 176456337791086080
- Sum of proper divisors (its aliquot sum) s(n): 134355251959918080
- 42101085831168000 is an abundant number, because the sum of its proper divisors (134355251959918080) is greater than itself. Its abundance is 92254166128750080
Bases of 42101085831168000
- Binary: 100101011001001010110110111010011010000000000000000000002
- Hexadecimal: 0x9592B6E9A00000
- Base-36: BIJL7TQ1XXC
Squares and roots of 42101085831168000
- 42101085831168000 squared (421010858311680002) is 1772501428163374925400244224000000
- 42101085831168000 cubed (421010858311680003) is 74624234762974108664840351090453231173632000000000
-
The
square root of 42101085831168000 is 205185491.2784234849 -
The
cube root of 42101085831168000 is 347881.3117268627
Scales and comparisons
How big is 42101085831168000?- 42,101,085,831,168,000 seconds is equal to 1,338,684,302 years, 11 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 42,101,085,831,168,000 would take you about four billion, sixteen million, fifty-two thousand, nine hundred six 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 42101085831168000 cubic inches would be around 28990.1 feet tall.
Recreational maths with 42101085831168000
- 42101085831168000 backwards is 00086113858010124
- 42101085831168000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42101085831168000's digits is 48
- More coming soon!
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Cite this page
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"Number 42101085831168000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
APA style:
Numbermatics. (2024). Number 42101085831168000 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/42101085831168000/
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The information we have on file for 42101085831168000 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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