138834933120000
138,834,933,120,000 is an even composite number composed of six prime numbers multiplied together.
138834933120000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, four hundred divisors.
Prime factorization of 138834933120000:
210 × 34 × 54 × 133 × 23 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 13 × 23 × 53)See below for interesting mathematical facts about the number 138834933120000 from the Numbermatics database.
Names of 138834933120000
- Cardinal: 138834933120000 can be written as One hundred thirty-eight trillion, eight hundred thirty-four billion, nine hundred thirty-three million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3883493312 × 1014
Factors of 138834933120000
Divisors of 138834933120000
- Number of divisors d(n): 4400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 25 26 27 30 32 36 39 40 45 46 48 50 52 53 54 60 64 65 69 72 75 78 80 81 90 92 96 100 104 106 108 115 117 120 125 128 130 135 138 144 150 156 159 160 162 169 180 184 192 195 200 207 208 212 216 225 230 234 240 250 256 260 265 270 276 288 299 300 312 318 320 324 325 338 345 351 360 368 375 384 390 400 405 414 416 424 432 450 460 468 477 480 500 507 512 520 530 540 552 575 576 585 598 600 621 624 625 636 640 648 650 675 676 689 690 702 720 736 750 768 780 795 800 810 828 832 845 848 864 897 900 920 936 954 960 975 1000 1014 1024 1035 1040 1053 1060 1080 1104 1125 1150 1152 1170 1196 1200 1219 1242 1248 1250 1272 1280 1296 1300 1325 1350 1352 1378 1380 1404 1431 1440 1472 1495 1500 1521 1536 1560 1590 1600 1620 1625 1656 1664 1690 1696 1725 1728 1755 1794 1800 1840 1863 1872 1875 1908 1920 1950 2000 2025 2028 2067 2070 2080 2106 2120 2160 2197 2208 2250 2300 2304 2340 2385 2392 2400 2438 2484 2496 2500 2535 2544 2560 2592 2600 2650 2691 2700 2704 2756 2760 2808 2862 2875 2880 2925 2944 2990 3000 3042 3072 3105 3120 3180 3200 3240 3250 3312 3328 3375 3380 3392 3445 3450 3456 3510 3588 3600 3657 3680 3726 3744 3750 3816 3840 3887 3900 3975 4000 4050 4056 4134 4140 4160 4212 4225 4240 4293 4320 4394 4416 4485 4500 4563 4600 4608 4680 4770 4784 4800 4875 4876 4968 4992 5000 5070 5088 5120 5175 5184 5200 5265 5300 5382 5400 5408 5512 5520 5616 5625 5724 5750 5760 5850 5888 5980 6000 6084 6095 6201 6210 6240 6360 6400 6480 6500 6591 6624 6625 6656 6750 6760 6784 6890 6900 6912 7020 7155 7176 7200 7314 7360 7452 7475 7488 7500 7605 7632 7680 7774 7800 7950 8000 8073 8100 8112 8125 8268 8280 8320 8424 8450 8480 8586 8625 8640 8775 8788 8832 8957 8970 9000 9126 9200 9216 9315 9360 9540 9568 9600 9750 9752 9936 9984 10000 10125 10140 10176 10335 10350 10368 10400 10530 10600 10764 10800 10816 10971 10985 11024 11040 11232 11250 11448 11500 11520 11661 11700 11776 11925 11960 12000 12168 12190 12402 12420 12480 12675 12720 12800 12960 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- Sum of all divisors σ(n): 596672751850560
- Sum of proper divisors (its aliquot sum) s(n): 457837818730560
- 138834933120000 is an abundant number, because the sum of its proper divisors (457837818730560) is greater than itself. Its abundance is 319002885610560
Bases of 138834933120000
- Binary: 111111001000101000001101101111011111100000000002
- Hexadecimal: 0x7E4506DEFC00
- Base-36: 1D7NVYKG00
Squares and roots of 138834933120000
- 138834933120000 squared (1388349331200002) is 19275138654434872934400000000
- 138834933120000 cubed (1388349331200003) is 2676062585967192375243122147328000000000000
-
The
square root of 138834933120000 is 11782823.6480056001 -
The
cube root of 138834933120000 is 51780.5014392159
Scales and comparisons
How big is 138834933120000?- 138,834,933,120,000 seconds is equal to 4,414,521 years, 22 weeks, 2 days.
-
To count from 1 to 138,834,933,120,000 would take you about eleven million, thirty-six thousand, three hundred three 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 138834933120000 cubic inches would be around 4315 feet tall.
Recreational maths with 138834933120000
- 138834933120000 backwards is 000021339438831
- 138834933120000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138834933120000's digits is 45
- More coming soon!
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"Number 138834933120000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 138834933120000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138834933120000/
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Numbermatics. 2024. "Number 138834933120000 - Facts about the integer". https://numbermatics.com/n/138834933120000/
The information we have on file for 138834933120000 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 138834933120000, math, Factors of 138834933120000, curriculum, school, college, exams, university, Prime factorization of 138834933120000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, eight hundred thirty-four billion, nine hundred thirty-three million, one hundred twenty thousand.