138321961200000
138,321,961,200,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138321961200000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
138321961200000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138321961200000:
27 × 33 × 55 × 292 × 97 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 29 × 29 × 97 × 157)See below for interesting mathematical facts about the number 138321961200000 from the Numbermatics database.
Names of 138321961200000
- Cardinal: 138321961200000 can be written as One hundred thirty-eight trillion, three hundred twenty-one billion, nine hundred sixty-one million, two hundred thousand.
Scientific notation
- Scientific notation: 1.383219612 × 1014
Factors of 138321961200000
Divisors of 138321961200000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 64 72 75 80 87 90 96 97 100 108 116 120 125 128 135 144 145 150 157 160 174 180 192 194 200 216 225 232 240 250 261 270 288 290 291 300 314 320 348 360 375 384 388 400 432 435 450 464 471 480 485 500 522 540 576 580 582 600 625 628 640 675 696 720 725 750 776 783 785 800 841 864 870 873 900 928 942 960 970 1000 1044 1080 1125 1152 1160 1164 1200 1250 1256 1305 1350 1392 1413 1440 1450 1455 1500 1552 1566 1570 1600 1682 1728 1740 1746 1800 1856 1875 1884 1920 1940 2000 2088 2160 2175 2250 2320 2328 2355 2400 2425 2500 2512 2523 2610 2619 2700 2784 2813 2826 2880 2900 2910 3000 3104 3125 3132 3140 3200 3364 3375 3456 3480 3492 3600 3625 3712 3750 3768 3880 3915 3925 4000 4176 4205 4239 4320 4350 4365 4500 4553 4640 4656 4710 4800 4850 5000 5024 5046 5220 5238 5400 5568 5625 5626 5652 5760 5800 5820 6000 6208 6250 6264 6280 6525 6728 6750 6960 6984 7065 7200 7250 7275 7500 7536 7569 7760 7830 7850 8000 8352 8410 8439 8478 8640 8700 8730 9000 9106 9280 9312 9375 9420 9600 9700 10000 10048 10092 10440 10476 10800 10875 11136 11250 11252 11304 11600 11640 11775 12000 12125 12416 12500 12528 12560 12615 13050 13095 13456 13500 13659 13920 13968 14065 14130 14400 14500 14550 15000 15072 15138 15229 15520 15660 15700 16000 16704 16820 16875 16878 16956 17280 17400 17460 18000 18125 18212 18560 18624 18750 18840 19400 19575 19625 20000 20096 20184 20880 20952 21025 21195 21600 21750 21825 22500 22504 22608 22707 22765 23200 23280 23550 24000 24250 25000 25056 25120 25230 25317 26100 26190 26912 27000 27318 27840 27936 28125 28130 28260 28800 29000 29100 30000 30144 30276 30458 31040 31320 31400 32625 33408 33640 33750 33756 33912 34800 34920 35325 36000 36250 36375 36424 37248 37500 37680 37845 38800 39150 39250 40000 40368 40977 41760 41904 42050 42195 42390 43200 43500 43650 45000 45008 45216 45414 45530 45687 46400 46560 47100 48000 48500 50000 50112 50240 50460 50634 52200 52380 53824 54000 54375 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- Sum of all divisors σ(n): 537320893636800
- Sum of proper divisors (its aliquot sum) s(n): 398998932436800
- 138321961200000 is an abundant number, because the sum of its proper divisors (398998932436800) is greater than itself. Its abundance is 260676971236800
Bases of 138321961200000
- Binary: 111110111001101100101110101110010101001100000002
- Hexadecimal: 0x7DCD975CA980
- Base-36: 1D148CBXC0
Squares and roots of 138321961200000
- 138321961200000 squared (1383219612000002) is 19132964950214305440000000000
- 138321961200000 cubed (1383219612000003) is 2646509235484503088756628928000000000000000
-
The
square root of 138321961200000 is 11761035.7196974791 -
The
cube root of 138321961200000 is 51716.6492949351
Scales and comparisons
How big is 138321961200000?- 138,321,961,200,000 seconds is equal to 4,398,210 years, 26 weeks, 3 days.
-
To count from 1 to 138,321,961,200,000 would take you about ten million, nine hundred ninety-five thousand, five hundred twenty-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 138321961200000 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138321961200000
- 138321961200000 backwards is 000002169123831
- 138321961200000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138321961200000's digits is 36
- More coming soon!
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Numbermatics. (2024). Number 138321961200000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138321961200000/
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Numbermatics. 2024. "Number 138321961200000 - Facts about the integer". https://numbermatics.com/n/138321961200000/
The information we have on file for 138321961200000 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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