138224844472320000
138,224,844,472,320,000 is an even composite number composed of seven prime numbers multiplied together.
138224844472320000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six thousand, four hundred divisors.
Prime factorization of 138224844472320000:
219 × 33 × 54 × 31 × 37 × 53 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 31 × 37 × 53 × 257)See below for interesting mathematical facts about the number 138224844472320000 from the Numbermatics database.
Names of 138224844472320000
- Cardinal: 138224844472320000 can be written as One hundred thirty-eight quadrillion, two hundred twenty-four trillion, eight hundred forty-four billion, four hundred seventy-two million, three hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3822484447232 × 1017
Factors of 138224844472320000
Divisors of 138224844472320000
- Number of divisors d(n): 6400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 37 40 45 48 50 53 54 60 62 64 72 74 75 80 90 93 96 100 106 108 111 120 124 125 128 135 144 148 150 155 159 160 180 185 186 192 200 212 216 222 225 240 248 250 256 257 265 270 279 288 296 300 310 318 320 333 360 370 372 375 384 400 424 432 444 450 465 477 480 496 500 512 514 530 540 555 558 576 592 600 620 625 636 640 666 675 720 740 744 750 768 771 775 795 800 837 848 864 888 900 925 930 954 960 992 999 1000 1024 1028 1060 1080 1110 1116 1125 1147 1152 1184 1200 1240 1250 1272 1280 1285 1325 1332 1350 1395 1431 1440 1480 1488 1500 1536 1542 1550 1590 1600 1643 1665 1674 1696 1728 1776 1800 1850 1860 1875 1908 1920 1961 1984 1998 2000 2048 2056 2120 2160 2220 2232 2250 2294 2304 2313 2325 2368 2385 2400 2480 2500 2544 2560 2570 2650 2664 2700 2775 2790 2862 2880 2960 2976 3000 3072 3084 3100 3180 3200 3286 3330 3348 3375 3392 3441 3456 3552 3600 3700 3720 3750 3816 3840 3855 3875 3922 3968 3975 3996 4000 4096 4112 4185 4240 4320 4440 4464 4500 4588 4608 4625 4626 4650 4736 4770 4800 4929 4960 4995 5000 5088 5120 5140 5300 5328 5400 5550 5580 5625 5724 5735 5760 5883 5920 5952 6000 6144 6168 6200 6360 6400 6425 6572 6625 6660 6696 6750 6784 6882 6912 6939 6975 7104 7155 7200 7400 7440 7500 7632 7680 7710 7750 7844 7936 7950 7967 7992 8000 8192 8215 8224 8325 8370 8480 8640 8880 8928 9000 9176 9216 9250 9252 9300 9472 9509 9540 9600 9805 9858 9920 9990 10000 10176 10240 10280 10323 10600 10656 10800 11100 11160 11250 11448 11470 11520 11565 11625 11766 11840 11904 11925 12000 12288 12336 12400 12720 12800 12850 13144 13250 13320 13392 13500 13568 13621 13764 13824 13875 13878 13950 14208 14310 14400 14787 14800 14880 15000 15264 15360 15420 15500 15688 15872 15900 15934 15984 16000 16384 16430 16448 16650 16740 16875 16960 17205 17280 17649 17760 17856 18000 18352 18432 18500 18504 18600 18944 19018 19080 19200 19275 19375 19610 19716 19840 19875 19980 20000 20352 20480 20560 20646 20925 21200 21312 21600 22200 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1919789506560000 2159763194880000 2229432975360000 2303747407872000 2559719342080000 2608015933440000 2764496889446400 2879684259840000 3071663210496000 3455621111808000 3735806607360000 3839579013120000 4319526389760000 4458865950720000 4607494815744000 5119438684160000 5528993778892800 5759368519680000 6911242223616000 7679158026240000 8639052779520000 9214989631488000 11518737039360000 13822484447232000 15358316052480000 17278105559040000 23037474078720000 27644968894464000 34556211118080000 46074948157440000 69112422236160000 138224844472320000
- Sum of all divisors σ(n): 554954739837696000
- Sum of proper divisors (its aliquot sum) s(n): 416729895365376000
- 138224844472320000 is an abundant number, because the sum of its proper divisors (416729895365376000) is greater than itself. Its abundance is 278505050893056000
Bases of 138224844472320000
- Binary: 1111010110001001011000011100000011110100000000000000000002
- Hexadecimal: 0x1EB12C381E80000
- Base-36: 11T0M8XF3EO0
Squares and roots of 138224844472320000
- 138224844472320000 squared (1382248444723200002) is 19106107629397052859246182400000000
- 138224844472320000 cubed (1382248444723200003) is 2640938755544814201045873526314702471168000000000000
-
The
square root of 138224844472320000 is 371786019.7375904559 -
The
cube root of 138224844472320000 is 517045.4293183743
Scales and comparisons
How big is 138224844472320000?- 138,224,844,472,320,000 seconds is equal to 4,395,122,496 years, 36 weeks, 4 days.
-
To count from 1 to 138,224,844,472,320,000 would take you about thirteen billion, one hundred eighty-five million, three hundred sixty-seven thousand, four hundred ninety 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 138224844472320000 cubic inches would be around 43087.1 feet tall.
Recreational maths with 138224844472320000
- 138224844472320000 backwards is 000023274448422831
- 138224844472320000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138224844472320000's digits is 54
- More coming soon!
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"Number 138224844472320000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 138224844472320000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138224844472320000/
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The information we have on file for 138224844472320000 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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