138226434048000
138,226,434,048,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138226434048000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
138226434048000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138226434048000:
223 × 32 × 53 × 97 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 97 × 151)See below for interesting mathematical facts about the number 138226434048000 from the Numbermatics database.
Names of 138226434048000
- Cardinal: 138226434048000 can be written as One hundred thirty-eight trillion, two hundred twenty-six billion, four hundred thirty-four million, forty-eight thousand.
Scientific notation
- Scientific notation: 1.38226434048 × 1014
Factors of 138226434048000
Divisors of 138226434048000
- Number of divisors d(n): 1152
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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 97 100 120 125 128 144 150 151 160 180 192 194 200 225 240 250 256 288 291 300 302 320 360 375 384 388 400 450 453 480 485 500 512 576 582 600 604 640 720 750 755 768 776 800 873 900 906 960 970 1000 1024 1125 1152 1164 1200 1208 1280 1359 1440 1455 1500 1510 1536 1552 1600 1746 1800 1812 1920 1940 2000 2048 2250 2265 2304 2328 2400 2416 2425 2560 2718 2880 2910 3000 3020 3072 3104 3200 3492 3600 3624 3775 3840 3880 4000 4096 4365 4500 4530 4608 4656 4800 4832 4850 5120 5436 5760 5820 6000 6040 6144 6208 6400 6795 6984 7200 7248 7275 7550 7680 7760 8000 8192 8730 9000 9060 9216 9312 9600 9664 9700 10240 10872 11325 11520 11640 12000 12080 12125 12288 12416 12800 13590 13968 14400 14496 14550 14647 15100 15360 15520 16000 16384 17460 18000 18120 18432 18624 18875 19200 19328 19400 20480 21744 21825 22650 23040 23280 24000 24160 24250 24576 24832 25600 27180 27936 28800 28992 29100 29294 30200 30720 31040 32000 32768 33975 34920 36000 36240 36375 36864 37248 37750 38400 38656 38800 40960 43488 43650 43941 45300 46080 46560 48000 48320 48500 49152 49664 51200 54360 55872 56625 57600 57984 58200 58588 60400 61440 62080 64000 65536 67950 69840 72000 72480 72750 73235 73728 74496 75500 76800 77312 77600 81920 86976 87300 87882 90600 92160 93120 96000 96640 97000 98304 99328 102400 108720 109125 111744 113250 115200 115968 116400 117176 120800 122880 124160 128000 131072 131823 135900 139680 144000 144960 145500 146470 147456 148992 151000 153600 154624 155200 163840 169875 173952 174600 175764 181200 184320 186240 192000 193280 194000 196608 198656 204800 217440 218250 219705 223488 226500 230400 231936 232800 234352 241600 245760 248320 256000 262144 263646 271800 279360 288000 289920 291000 292940 294912 297984 302000 307200 309248 310400 327680 339750 347904 349200 351528 362400 366175 368640 372480 384000 386560 388000 393216 397312 409600 434880 436500 439410 446976 453000 460800 463872 465600 468704 483200 491520 496640 512000 524288 527292 543600 558720 576000 579840 582000 585880 589824 595968 604000 614400 618496 620800 655360 659115 679500 695808 698400 703056 724800 732350 737280 744960 768000 773120 776000 786432 794624 819200 869760 873000 878820 893952 906000 921600 927744 931200 937408 966400 983040 993280 1024000 1048576 1054584 1087200 1098525 1117440 1152000 1159680 1164000 1171760 1179648 1191936 1208000 1228800 1236992 1241600 1310720 1318230 1359000 1391616 1396800 1406112 1449600 1464700 1474560 1489920 1536000 1546240 1552000 1572864 1589248 1638400 1739520 1746000 1757640 1787904 1812000 1830875 1843200 1855488 1862400 1874816 1932800 1966080 1986560 2048000 2097152 2109168 2174400 2197050 2234880 2304000 2319360 2328000 2343520 2359296 2383872 2416000 2457600 2473984 2483200 2621440 2636460 2718000 2783232 2793600 2812224 2899200 2929400 2949120 2979840 3072000 3092480 3104000 3145728 3178496 3276800 3295575 3479040 3492000 3515280 3575808 3624000 3661750 3686400 3710976 3724800 3749632 3865600 3932160 3973120 4096000 4194304 4218336 4348800 4394100 4469760 4608000 4638720 4656000 4687040 4718592 4767744 4832000 4915200 4947968 4966400 5242880 5272920 5436000 5492625 5566464 5587200 5624448 5798400 5858800 5898240 5959680 6144000 6184960 6208000 6291456 6356992 6553600 6591150 6958080 6984000 7030560 7151616 7248000 7323500 7372800 7421952 7449600 7499264 7731200 7864320 7946240 8192000 8388608 8436672 8697600 8788200 8939520 9216000 9277440 9312000 9374080 9437184 9535488 9664000 9830400 9895936 9932800 10485760 10545840 10872000 10985250 11132928 11174400 11248896 11596800 11717600 11796480 11919360 12288000 12369920 12416000 12582912 12713984 13107200 13182300 13916160 13968000 14061120 14303232 14496000 14647000 14745600 14843904 14899200 14998528 15462400 15728640 15892480 16384000 16477875 16873344 17395200 17576400 17879040 18432000 18554880 18624000 18748160 18874368 19070976 19328000 19660800 19791872 19865600 20971520 21091680 21744000 21970500 22265856 22348800 22497792 23193600 23435200 23592960 23838720 24576000 24739840 24832000 25165824 25427968 26214400 26364600 27832320 27936000 28122240 28606464 28992000 29294000 29491200 29687808 29798400 29997056 30924800 31457280 31784960 32768000 32955750 33746688 34790400 35152800 35758080 36864000 37109760 37248000 37496320 37748736 38141952 38656000 39321600 39583744 39731200 41943040 42183360 43488000 43941000 44531712 44697600 44995584 46387200 46870400 47185920 47677440 49152000 49479680 49664000 50855936 52428800 52729200 55664640 55872000 56244480 57212928 57984000 58588000 58982400 59375616 59596800 59994112 61849600 62914560 63569920 65536000 65911500 67493376 69580800 70305600 71516160 73728000 74219520 74496000 74992640 75497472 76283904 77312000 78643200 79167488 79462400 84366720 86976000 87882000 89063424 89395200 89991168 92774400 93740800 94371840 95354880 98304000 98959360 99328000 101711872 104857600 105458400 111329280 111744000 112488960 114425856 115968000 117176000 117964800 118751232 119193600 119988224 123699200 125829120 127139840 131072000 131823000 134986752 139161600 140611200 143032320 147456000 148439040 148992000 149985280 152567808 154624000 157286400 158334976 158924800 168733440 173952000 175764000 178126848 178790400 179982336 185548800 187481600 188743680 190709760 196608000 197918720 198656000 203423744 209715200 210916800 222658560 223488000 224977920 228851712 231936000 234352000 235929600 237502464 238387200 239976448 247398400 254279680 262144000 263646000 269973504 278323200 281222400 286064640 294912000 296878080 297984000 299970560 305135616 309248000 314572800 316669952 317849600 337466880 347904000 351528000 356253696 357580800 359964672 371097600 374963200 377487360 381419520 393216000 395837440 397312000 406847488 421833600 445317120 446976000 449955840 457703424 463872000 468704000 471859200 475004928 476774400 479952896 494796800 508559360 524288000 527292000 539947008 556646400 562444800 572129280 589824000 593756160 595968000 599941120 610271232 618496000 629145600 633339904 635699200 674933760 695808000 703056000 712507392 715161600 719929344 742195200 749926400 762839040 786432000 791674880 794624000 813694976 843667200 890634240 893952000 899911680 915406848 927744000 937408000 943718400 950009856 953548800 959905792 989593600 1017118720 1048576000 1054584000 1079894016 1113292800 1124889600 1144258560 1179648000 1187512320 1191936000 1199882240 1220542464 1236992000 1266679808 1271398400 1349867520 1391616000 1406112000 1425014784 1430323200 1439858688 1484390400 1499852800 1525678080 1572864000 1583349760 1589248000 1687334400 1781268480 1787904000 1799823360 1830813696 1855488000 1874816000 1887436800 1900019712 1907097600 1919811584 1979187200 2034237440 2109168000 2159788032 2226585600 2249779200 2288517120 2359296000 2375024640 2383872000 2399764480 2441084928 2473984000 2542796800 2699735040 2783232000 2812224000 2850029568 2860646400 2879717376 2968780800 2999705600 3051356160 3145728000 3166699520 3178496000 3374668800 3562536960 3575808000 3599646720 3661627392 3710976000 3749632000 3800039424 3814195200 3839623168 3958374400 4068474880 4218336000 4319576064 4453171200 4499558400 4577034240 4718592000 4750049280 4767744000 4799528960 4947968000 5085593600 5399470080 5566464000 5624448000 5700059136 5721292800 5759434752 5937561600 5999411200 6102712320 6333399040 6356992000 6749337600 7125073920 7151616000 7199293440 7323254784 7421952000 7499264000 7628390400 7679246336 7916748800 8436672000 8639152128 8906342400 8999116800 9154068480 9437184000 9500098560 9535488000 9599057920 9895936000 10171187200 10798940160 11132928000 11248896000 11400118272 11442585600 11518869504 11875123200 11998822400 12205424640 12713984000 13498675200 14250147840 14303232000 14398586880 14843904000 14998528000 15256780800 15358492672 15833497600 16873344000 17278304256 17812684800 17998233600 18308136960 19000197120 19070976000 19198115840 19791872000 20342374400 21597880320 22265856000 22497792000 22885171200 23037739008 23750246400 23997644800 25427968000 26997350400 28500295680 28606464000 28797173760 29687808000 29997056000 30513561600 30716985344 31666995200 33746688000 34556608512 35625369600 35996467200 36616273920 38141952000 38396231680 39583744000 43195760640 44531712000 44995584000 45770342400 46075478016 47500492800 47995289600 50855936000 53994700800 57000591360 57212928000 57594347520 59375616000 59994112000 61027123200 61433970688 67493376000 69113217024 71250739200 71992934400 76283904000 76792463360 79167488000 86391521280 89063424000 89991168000 91540684800 92150956032 95000985600 95990579200 101711872000 107989401600 114425856000 115188695040 118751232000 119988224000 122867941376 134986752000 138226434048 142501478400 143985868800 152567808000 153584926720 158334976000 172783042560 178126848000 179982336000 183081369600 184301912064 191981158400 215978803200 228851712000 230377390080 237502464000 239976448000 269973504000 276452868096 285002956800 287971737600 305135616000 307169853440 345566085120 356253696000 359964672000 368603824128 383962316800 431957606400 457703424000 460754780160 475004928000 479952896000 539947008000 552905736192 575943475200 614339706880 691132170240 712507392000 719929344000 767924633600 863915212800 915406848000 921509560320 959905792000 1079894016000 1105811472384 1151886950400 1382264340480 1425014784000 1439858688000 1535849267200 1727830425600 1843019120640 1919811584000 2159788032000 2303773900800 2764528680960 2879717376000 3071698534400 3455660851200 3839623168000 4319576064000 4607547801600 5529057361920 5759434752000 6911321702400 7679246336000 8639152128000 9215095603200 11518869504000 13822643404800 15358492672000 17278304256000 23037739008000 27645286809600 34556608512000 46075478016000 69113217024000 138226434048000
- Sum of all divisors σ(n): 506824364329920
- Sum of proper divisors (its aliquot sum) s(n): 368597930281920
- 138226434048000 is an abundant number, because the sum of its proper divisors (368597930281920) is greater than itself. Its abundance is 230371496233920
Bases of 138226434048000
- Binary: 111110110110111010110011000000000000000000000002
- Hexadecimal: 0x7DB759800000
- Base-36: 1CZWCHXJ40
Squares and roots of 138226434048000
- 138226434048000 squared (1382264340480002) is 19106547069626093666304000000
- 138226434048000 cubed (1382264340480003) is 2641029868404678900185240375918592000000000
-
The
square root of 138226434048000 is 11756973.8473809663 -
The
cube root of 138226434048000 is 51704.7411305747
Scales and comparisons
How big is 138226434048000?- 138,226,434,048,000 seconds is equal to 4,395,173 years, 2 weeks, 16 hours.
-
To count from 1 to 138,226,434,048,000 would take you about ten million, nine hundred eighty-seven thousand, nine hundred thirty-two 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 138226434048000 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138226434048000
- 138226434048000 backwards is 000840434622831
- 138226434048000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138226434048000's digits is 45
- More coming soon!
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The information we have on file for 138226434048000 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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