12023638428672000
12,023,638,428,672,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12023638428672000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2688 divisors.
12023638428672000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 12023638428672000:
213 × 32 × 53 × 13 × 127 × 421 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 127 × 421 × 1877)See below for interesting mathematical facts about the number 12023638428672000 from the Numbermatics database.
Names of 12023638428672000
- Cardinal: 12023638428672000 can be written as Twelve quadrillion, twenty-three trillion, six hundred thirty-eight billion, four hundred twenty-eight million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.2023638428672 × 1016
Factors of 12023638428672000
Divisors of 12023638428672000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 127 128 130 144 150 156 160 180 192 195 200 208 225 234 240 250 254 256 260 288 300 312 320 325 360 375 381 384 390 400 416 421 450 468 480 500 508 512 520 576 585 600 624 635 640 650 720 750 762 768 780 800 832 842 900 936 960 975 1000 1016 1024 1040 1125 1143 1152 1170 1200 1248 1263 1270 1280 1300 1440 1500 1524 1536 1560 1600 1625 1651 1664 1684 1800 1872 1877 1905 1920 1950 2000 2032 2048 2080 2105 2250 2286 2304 2340 2400 2496 2526 2540 2560 2600 2880 2925 3000 3048 3072 3120 3175 3200 3250 3302 3328 3368 3600 3744 3754 3789 3810 3840 3900 4000 4064 4096 4160 4210 4500 4572 4608 4680 4800 4875 4953 4992 5052 5080 5120 5200 5473 5631 5715 5760 5850 6000 6096 6144 6240 6315 6350 6400 6500 6604 6656 6736 7200 7488 7508 7578 7620 7680 7800 8000 8128 8192 8255 8320 8420 9000 9144 9216 9360 9385 9525 9600 9750 9906 9984 10104 10160 10240 10400 10525 10946 11262 11430 11520 11700 12000 12192 12288 12480 12630 12700 12800 13000 13208 13312 13472 14400 14625 14859 14976 15016 15156 15240 15360 15600 15875 16000 16256 16419 16510 16640 16840 16893 18000 18288 18432 18720 18770 18945 19050 19200 19500 19812 19968 20208 20320 20480 20800 21050 21892 22524 22860 23040 23400 24000 24384 24401 24576 24765 24960 25260 25400 25600 26000 26416 26624 26944 27365 28155 28575 28800 29250 29718 29952 30032 30312 30480 30720 31200 31575 31750 32000 32512 32838 33020 33280 33680 33786 36000 36576 36864 37440 37540 37890 38100 38400 39000 39624 39936 40416 40640 40960 41275 41600 42100 43784 45048 45720 46080 46800 46925 47625 48000 48768 48802 49257 49530 49920 50520 50800 51200 52000 52625 52832 53248 53467 53888 54730 56310 57150 57600 58500 59436 59904 60064 60624 60960 61440 62400 63150 63500 64000 65024 65676 66040 66560 67360 67572 72000 73152 73203 73728 74295 74880 75080 75780 76200 76800 78000 79248 79872 80832 81280 82095 82550 83200 84200 84465 87568 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739643112000 751477401792 757394546688 770746053120 782788960200 788952652800 793325312000 800721792000 802860472000 809182208000 822129123328 834974890880 892490976000 903218031000 910329984000 924895263744 939346752240 946743183360 951990374400 963432566400 978486200250 986190816000 1001969869056 1027661404160 1043718613600 1051936870400 1067629056000 1098450432000 1142388449280 1156119079680 1174183440300 1183428979200 1189987968000 1204290708000 1213773312000 1233193684992 1252462336320 1262324244480 1281154867200 1284576755200 1304648267000 1314921088000 1335959825408 1427985561600 1445148849600 1456527974400 1467729300375 1479286224000 1502954803584 1541492106240 1565577920400 1577905305600 1586650624000 1601443584000 1605720944000 1669949781760 1784981952000 1806436062000 1820659968000 1849790527488 1878693504480 1893486366720 1903980748800 1926865132800 1956972400500 1972381632000 2003939738112 2055322808320 2087437227200 2103873740800 2135258112000 2196900864000 2312238159360 2348366880600 2366857958400 2379975936000 2408581416000 2427546624000 2466387369984 2504924672640 2569153510400 2609296534000 2629842176000 2671919650816 2855971123200 2890297699200 2935458600750 2958572448000 3005909607168 3082984212480 3131155840800 3155810611200 3173301248000 3202887168000 3211441888000 3339899563520 3569963904000 3612872124000 3641319936000 3699581054976 3757387008960 3786972733440 3853730265600 3913944801000 3944763264000 4007879476224 4110645616640 4174874454400 4624476318720 4696733761200 4733715916800 4759951872000 4817162832000 5009849345280 5138307020800 5218593068000 5259684352000 5343839301632 5711942246400 5780595398400 5870917201500 5917144896000 6011819214336 6165968424960 6262311681600 6311621222400 6405774336000 6422883776000 6679799127040 7139927808000 7225744248000 7282639872000 7399162109952 7514774017920 7707460531200 7827889602000 7889526528000 8015758952448 8349748908800 9248952637440 9393467522400 9467431833600 9519903744000 9634325664000 10019698690560 10276614041600 10437186136000 10519368704000 10687678603264 11561190796800 11741834403000 11834289792000 12023638428672 12331936849920 12524623363200 12845767552000 13359598254080 14279855616000 14451488496000 15029548035840 15414921062400 15655779204000 15779053056000 16031517904896 16699497817600 18497905274880 18786935044800 18934863667200 19268651328000 20039397381120 20553228083200 20874372272000 23122381593600 23483668806000 23668579584000 24047276857344 25049246726400 25691535104000 26719196508160 28559711232000 28902976992000 30059096071680 30829842124800 31311558408000 31558106112000 32063035809792 33398995635200 36995810549760 37573870089600 38537302656000 40078794762240 41748744544000 46244763187200 46967337612000 47337159168000 48094553714688 50098493452800 51383070208000 53438393016320 57805953984000 60118192143360 61659684249600 62623116816000 66797991270400 75147740179200 77074605312000 80157589524480 83497489088000 92489526374400 93934675224000 94674318336000 96189107429376 100196986905600 102766140416000 115611907968000 120236384286720 125246233632000 133595982540800 150295480358400 154149210624000 160315179048960 166994978176000 184979052748800 187869350448000 200393973811200 231223815936000 240472768573440 250492467264000 267191965081600 300590960716800 308298421248000 333989956352000 375738700896000 400787947622400 462447631872000 480945537146880 500984934528000 601181921433600 667979912704000 751477401792000 801575895244800 924895263744000 1001969869056000 1202363842867200 1335959825408000 1502954803584000 2003939738112000 2404727685734400 3005909607168000 4007879476224000 6011819214336000 12023638428672000
- Sum of all divisors σ(n): 47185376655126528
- Sum of proper divisors (its aliquot sum) s(n): 35161738226454528
- 12023638428672000 is an abundant number, because the sum of its proper divisors (35161738226454528) is greater than itself. Its abundance is 23138099797782528
Bases of 12023638428672000
- Binary: 1010101011011101101111011110010111001011100000000000002
- Hexadecimal: 0x2AB76F7972E000
- Base-36: 3AE0V8NABK0
Squares and roots of 12023638428672000
- 12023638428672000 squared (120236384286720002) is 144567881063438081231683584000000
- 12023638428672000 cubed (120236384286720003) is 1738231930306037235370486702306857320448000000000
-
The
square root of 12023638428672000 is 109652352.5906854403 -
The
cube root of 12023638428672000 is 229093.0790532643
Scales and comparisons
How big is 12023638428672000?- 12,023,638,428,672,000 seconds is equal to 382,314,510 years, 24 weeks, 5 days, 8 hours.
-
To count from 1 to 12,023,638,428,672,000 would take you about one billion, one hundred forty-six million, nine hundred forty-three thousand, five hundred thirty-one 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 12023638428672000 cubic inches would be around 19091.1 feet tall.
Recreational maths with 12023638428672000
- 12023638428672000 backwards is 00027682483632021
- The number of decimal digits it has is: 17
- The sum of 12023638428672000's digits is 54
- More coming soon!
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"Number 12023638428672000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 12023638428672000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/12023638428672000/
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The information we have on file for 12023638428672000 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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