138286166427648000
138,286,166,427,648,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138286166427648000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1620 divisors.
138286166427648000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138286166427648000:
214 × 32 × 53 × 372 × 23412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 37 × 37 × 2341 × 2341)See below for interesting mathematical facts about the number 138286166427648000 from the Numbermatics database.
Names of 138286166427648000
- Cardinal: 138286166427648000 can be written as One hundred thirty-eight quadrillion, two hundred eighty-six trillion, one hundred sixty-six billion, four hundred twenty-seven million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38286166427648 × 1017
Factors of 138286166427648000
Divisors of 138286166427648000
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 37 40 45 48 50 60 64 72 74 75 80 90 96 100 111 120 125 128 144 148 150 160 180 185 192 200 222 225 240 250 256 288 296 300 320 333 360 370 375 384 400 444 450 480 500 512 555 576 592 600 640 666 720 740 750 768 800 888 900 925 960 1000 1024 1110 1125 1152 1184 1200 1280 1332 1369 1440 1480 1500 1536 1600 1665 1776 1800 1850 1920 2000 2048 2220 2250 2304 2341 2368 2400 2560 2664 2738 2775 2880 2960 3000 3072 3200 3330 3552 3600 3700 3840 4000 4096 4107 4440 4500 4608 4625 4682 4736 4800 5120 5328 5476 5550 5760 5920 6000 6144 6400 6660 6845 7023 7104 7200 7400 7680 8000 8192 8214 8325 8880 9000 9216 9250 9364 9472 9600 10240 10656 10952 11100 11520 11705 11840 12000 12288 12321 12800 13320 13690 13875 14046 14208 14400 14800 15360 16000 16384 16428 16650 17760 18000 18432 18500 18728 18944 19200 20480 20535 21069 21312 21904 22200 23040 23410 23680 24000 24576 24642 25600 26640 27380 27750 28092 28416 28800 29600 30720 32000 32856 33300 34225 35115 35520 36000 36864 37000 37456 37888 38400 40960 41070 41625 42138 42624 43808 44400 46080 46820 47360 48000 49152 49284 51200 53280 54760 55500 56184 56832 57600 58525 59200 61440 61605 64000 65712 66600 68450 70230 71040 72000 73728 74000 74912 75776 76800 81920 82140 83250 84276 85248 86617 87616 88800 92160 93640 94720 96000 98568 102400 102675 105345 106560 109520 111000 112368 113664 115200 117050 118400 122880 123210 128000 131424 133200 136900 140460 142080 144000 147456 148000 149824 151552 153600 164280 166500 168552 170496 171125 173234 175232 175575 177600 184320 187280 189440 192000 197136 204800 205350 210690 213120 219040 222000 224736 227328 230400 234100 236800 245760 246420 256000 259851 262848 266400 273800 280920 284160 288000 292625 296000 299648 303104 307200 308025 328560 333000 337104 340992 342250 346468 350464 351150 355200 368640 374560 378880 384000 394272 409600 410700 421380 426240 433085 438080 444000 449472 454656 460800 468200 473600 492840 512000 513375 519702 525696 526725 532800 547600 561840 568320 576000 585250 592000 599296 606208 614400 616050 657120 666000 674208 681984 684500 692936 700928 702300 710400 737280 749120 757760 768000 779553 788544 821400 842760 852480 866170 876160 877875 888000 898944 909312 921600 936400 947200 985680 1024000 1026750 1039404 1051392 1053450 1065600 1095200 1123680 1136640 1152000 1170500 1184000 1198592 1228800 1232100 1299255 1314240 1332000 1348416 1363968 1369000 1385872 1401856 1404600 1420800 1498240 1515520 1536000 1540125 1559106 1577088 1642800 1685520 1704960 1732340 1752320 1755750 1776000 1797888 1818624 1843200 1872800 1894400 1971360 2048000 2053500 2078808 2102784 2106900 2131200 2165425 2190400 2247360 2273280 2304000 2341000 2368000 2397184 2464200 2598510 2628480 2633625 2664000 2696832 2727936 2738000 2771744 2803712 2809200 2841600 2996480 3031040 3072000 3080250 3118212 3154176 3204829 3285600 3371040 3409920 3464680 3504640 3511500 3552000 3595776 3686400 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3841282400768 3893191622400 3938093875200 4040501575680 4152737730560 4208855808000 4321442700864 4501502813400 4671829946880 4801603000960 4866489528000 4922617344000 4983285276672 5050626969600 5190922163200 5401803376080 5611807744000 5626878516750 5761923601152 5839787433600 5907140812800 6002003751200 6229106595840 6313283712000 6488652704000 6563489792000 6734169292800 6752254220100 7202404501440 7299734292000 7383926016000 7474927915008 7502504689000 7682564801536 7786383244800 8305475461120 8417711616000 8440317775125 8642885401728 9003005626800 9343659893760 9603206001920 9732979056000 9845234688000 9966570553344 10101253939200 10381844326400 10803606752160 11223615488000 11253757033500 11523847202304 11679574867200 11814281625600 12004007502400 12458213191680 12626567424000 12977305408000 13504508440200 14404809002880 14599468584000 14767852032000 14949855830016 15005009378000 15365129603072 15572766489600 16610950922240 16835423232000 16880635550250 17285770803456 18006011253600 18687319787520 19206412003840 19465958112000 19690469376000 20202507878400 20763688652800 21607213504320 22507514067000 23047694404608 23359149734400 24008015004800 24916426383360 25253134848000 25954610816000 27009016880400 28809618005760 29198937168000 29535704064000 29899711660032 30010018756000 30730259206144 31145532979200 33670846464000 33761271100500 34571541606912 36012022507200 37374639575040 38412824007680 38931916224000 41527377305600 43214427008640 45015028134000 46095388809216 46718299468800 48016030009600 49832852766720 50506269696000 51909221632000 54018033760800 57619236011520 58397874336000 59071408128000 60020037512000 61460518412288 62291065958400 67522542201000 69143083213824 72024045014400 74749279150080 76825648015360 77863832448000 83054754611200 86428854017280 90030056268000 92190777618432 93436598937600 96032060019200 101012539392000 103818443264000 108036067521600 115238472023040 116795748672000 120040075024000 122921036824576 124582131916800 135045084402000 138286166427648 144048090028800 149498558300160 153651296030720 155727664896000 172857708034560 180060112536000 184381555236864 186873197875200 192064120038400 207636886528000 216072135043200 230476944046080 233591497344000 240080150048000 249164263833600 270090168804000 276572332855296 288096180057600 307302592061440 311455329792000 345715416069120 360120225072000 368763110473728 373746395750400 384128240076800 415273773056000 432144270086400 460953888092160 467182994688000 480160300096000 540180337608000 553144665710592 576192360115200 614605184122880 622910659584000 691430832138240 720240450144000 747492791500800 768256480153600 864288540172800 921907776184320 934365989376000 960320600192000 1080360675216000 1106289331421184 1152384720230400 1245821319168000 1382861664276480 1440480900288000 1536512960307200 1728577080345600 1843815552368640 1868731978752000 1920641200384000 2160721350432000 2304769440460800 2765723328552960 2880961800576000 3073025920614400 3457154160691200 3737463957504000 3841282400768000 4321442700864000 4609538880921600 5531446657105920 5761923601152000 6914308321382400 7682564801536000 8642885401728000 9219077761843200 11523847202304000 13828616642764800 15365129603072000 17285770803456000 23047694404608000 27657233285529600 34571541606912000 46095388809216000 69143083213824000 138286166427648000
- Sum of all divisors σ(n): 512610045717078036
- Sum of proper divisors (its aliquot sum) s(n): 374323879289430036
- 138286166427648000 is an abundant number, because the sum of its proper divisors (374323879289430036) is greater than itself. Its abundance is 236037712861782036
Bases of 138286166427648000
- Binary: 1111010110100101010001001001000110100010101000000000000002
- Hexadecimal: 0x1EB4A8923454000
- Base-36: 11TMCRUG0E80
Squares and roots of 138286166427648000
- 138286166427648000 squared (1382861664276480002) is 19123063825255160818018811904000000
- 138286166427648000 cubed (1382861664276480003) is 2644455186745770159979964227583428937121792000000000
-
The
square root of 138286166427648000 is 371868480.0136306255 -
The
cube root of 138286166427648000 is 517121.8785493017
Scales and comparisons
How big is 138286166427648000?- 138,286,166,427,648,000 seconds is equal to 4,397,072,345 years, 10 weeks, 3 days, 8 hours.
-
To count from 1 to 138,286,166,427,648,000 would take you about thirteen billion, one hundred ninety-one million, two hundred seventeen thousand and thirty-five 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 138286166427648000 cubic inches would be around 43093.5 feet tall.
Recreational maths with 138286166427648000
- 138286166427648000 backwards is 000846724661682831
- 138286166427648000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138286166427648000's digits is 72
- More coming soon!
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"Number 138286166427648000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 138286166427648000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138286166427648000/
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The information we have on file for 138286166427648000 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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