138456191808000
138,456,191,808,000 is an even composite number composed of seven prime numbers multiplied together.
138456191808000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 138456191808000:
29 × 33 × 53 × 112 × 31 × 41 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 31 × 41 × 521)See below for interesting mathematical facts about the number 138456191808000 from the Numbermatics database.
Names of 138456191808000
- Cardinal: 138456191808000 can be written as One hundred thirty-eight trillion, four hundred fifty-six billion, one hundred ninety-one million, eight hundred eight thousand.
Scientific notation
- Scientific notation: 1.38456191808 × 1014
Factors of 138456191808000
Divisors of 138456191808000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 31 32 33 36 40 41 44 45 48 50 54 55 60 62 64 66 72 75 80 82 88 90 93 96 99 100 108 110 120 121 123 124 125 128 132 135 144 150 155 160 164 165 176 180 186 192 198 200 205 216 220 225 240 242 246 248 250 256 264 270 275 279 288 297 300 310 320 328 330 341 352 360 363 369 372 375 384 396 400 410 432 440 450 451 465 480 484 492 495 496 500 512 521 528 540 550 558 576 594 600 605 615 620 640 656 660 675 682 704 720 726 738 744 750 768 775 792 800 820 825 837 864 880 900 902 930 960 968 984 990 992 1000 1023 1025 1042 1056 1080 1089 1100 1107 1116 1125 1152 1188 1200 1210 1230 1240 1271 1280 1312 1320 1350 1353 1364 1375 1395 1408 1440 1452 1476 1485 1488 1500 1536 1550 1563 1584 1600 1640 1650 1674 1705 1728 1760 1800 1804 1815 1845 1860 1920 1936 1968 1980 1984 2000 2046 2050 2084 2112 2160 2178 2200 2214 2232 2250 2255 2304 2325 2376 2400 2420 2460 2475 2480 2542 2560 2605 2624 2640 2700 2706 2728 2750 2790 2816 2880 2904 2952 2970 2976 3000 3025 3069 3075 3100 3126 3168 3200 3267 3280 3300 3348 3375 3410 3456 3520 3600 3608 3630 3690 3720 3751 3813 3840 3872 3875 3936 3960 3968 4000 4059 4092 4100 4125 4168 4185 4224 4320 4356 4400 4428 4464 4500 4510 4608 4650 4689 4752 4800 4840 4920 4950 4960 4961 5084 5115 5125 5210 5248 5280 5400 5412 5445 5456 5500 5535 5580 5632 5731 5760 5808 5904 5940 5952 6000 6050 6138 6150 6200 6252 6336 6355 6400 6534 6560 6600 6696 6750 6765 6820 6912 6975 7040 7200 7216 7260 7380 7425 7440 7502 7626 7680 7744 7750 7815 7872 7920 7936 8000 8118 8184 8200 8250 8336 8370 8448 8525 8640 8712 8800 8856 8928 9000 9020 9075 9207 9225 9300 9378 9504 9600 9680 9840 9900 9920 9922 10168 10230 10250 10420 10496 10560 10800 10824 10890 10912 11000 11070 11160 11253 11275 11439 11462 11520 11616 11625 11808 11880 11904 12000 12100 12177 12276 12300 12375 12400 12504 12672 12710 12800 13025 13068 13120 13200 13392 13500 13530 13640 13824 13950 13981 14067 14080 14400 14432 14520 14760 14850 14880 14883 15004 15125 15252 15345 15375 15488 15500 15630 15744 15840 15872 16000 16151 16236 16335 16368 16400 16500 16672 16740 16896 17050 17193 17280 17424 17600 17712 17856 18000 18040 18150 18414 18450 18600 18755 18756 19008 19065 19200 19360 19680 19800 19840 19844 20295 20336 20460 20500 20840 20925 20992 21120 21361 21600 21648 21780 21824 22000 22140 22320 22506 22550 22878 22924 23040 23232 23250 23445 23616 23760 23808 24000 24200 24354 24552 24600 24750 24800 24805 25008 25344 25420 25575 26050 26136 26240 26400 26784 27000 27060 27225 27280 27675 27900 27962 28134 28160 28655 28800 28864 29040 29520 29700 29760 29766 30008 30250 30504 30690 30750 30976 31000 31260 31488 31680 31775 32000 32302 32472 32670 32736 32800 33000 33344 33480 33759 33825 34100 34317 34386 34560 34848 34875 35200 35424 35712 36000 36080 36300 36828 36900 37125 37200 37510 37512 38016 38130 38400 38720 39075 39360 39600 39680 39688 40590 40672 40920 41000 41680 41850 41943 42240 42625 42722 43200 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699273696000 721125999000 744388128000 769201065600 786682908000 839128435200 844245072000 865351198800 893265753600 923041278720 961501332000 1025601420800 1048910544000 1081688998500 1107649534464 1116582192000 1125660096000 1144266048000 1153801598400 1258692652800 1282001776000 1384561918080 1398547392000 1442251998000 1488776256000 1538402131200 1573365816000 1688490144000 1730702397600 1846082557440 1923002664000 2097821088000 2163377997000 2233164384000 2307603196800 2517385305600 2564003552000 2769123836160 2884503996000 3076804262400 3146731632000 3376980288000 3461404795200 3846005328000 4195642176000 4326755994000 4466328768000 4615206393600 5128007104000 5538247672320 5769007992000 6293463264000 6922809590400 7692010656000 8653511988000 9230412787200 11538015984000 12586926528000 13845619180800 15384021312000 17307023976000 23076031968000 27691238361600 34614047952000 46152063936000 69228095904000 138456191808000
- Sum of all divisors σ(n): 595636956794880
- Sum of proper divisors (its aliquot sum) s(n): 457180764986880
- 138456191808000 is an abundant number, because the sum of its proper divisors (457180764986880) is greater than itself. Its abundance is 318724573178880
Bases of 138456191808000
- Binary: 111110111101100110110000010000100110010000000002
- Hexadecimal: 0x7DECD8213200
- Base-36: 1D2TW9RPC0
Squares and roots of 138456191808000
- 138456191808000 squared (1384561918080002) is 19170117049973686308864000000
- 138456191808000 cubed (1384561918080003) is 2654221403252967832932897514586112000000000
-
The
square root of 138456191808000 is 11766740.9170084135 -
The
cube root of 138456191808000 is 51733.3728696217
Scales and comparisons
How big is 138456191808000?- 138,456,191,808,000 seconds is equal to 4,402,478 years, 32 weeks, 4 days.
-
To count from 1 to 138,456,191,808,000 would take you about eleven million, six thousand, one hundred ninety-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 138456191808000 cubic inches would be around 4311.1 feet tall.
Recreational maths with 138456191808000
- 138456191808000 backwards is 000808191654831
- 138456191808000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138456191808000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138456191808000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 138456191808000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138456191808000/
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Numbermatics. 2024. "Number 138456191808000 - Facts about the integer". https://numbermatics.com/n/138456191808000/
The information we have on file for 138456191808000 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!
Keywords: Divisors of 138456191808000, math, Factors of 138456191808000, curriculum, school, college, exams, university, Prime factorization of 138456191808000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred fifty-six billion, one hundred ninety-one million, eight hundred eight thousand.