137838781080000
137,838,781,080,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137838781080000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 6720 divisors.
137838781080000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of six thousand, seven hundred twenty divisors.
Prime factorization of 137838781080000:
26 × 33 × 54 × 7 × 112 × 13 × 67 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 11 × 11 × 13 × 67 × 173)See below for interesting mathematical facts about the number 137838781080000 from the Numbermatics database.
Names of 137838781080000
- Cardinal: 137838781080000 can be written as One hundred thirty-seven trillion, eight hundred thirty-eight billion, seven hundred eighty-one million, eighty thousand.
Scientific notation
- Scientific notation: 1.3783878108 × 1014
Factors of 137838781080000
Divisors of 137838781080000
- Number of divisors d(n): 6720
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 25 26 27 28 30 32 33 35 36 39 40 42 44 45 48 50 52 54 55 56 60 63 64 65 66 67 70 72 75 77 78 80 84 88 90 91 96 99 100 104 105 108 110 112 117 120 121 125 126 130 132 134 135 140 143 144 150 154 156 160 165 168 173 175 176 180 182 189 192 195 198 200 201 208 210 216 220 224 225 231 234 240 242 250 252 260 264 268 270 273 275 280 286 288 297 300 308 312 315 320 325 330 335 336 346 350 351 352 360 363 364 375 378 385 390 396 400 402 416 420 429 432 440 448 450 455 462 468 469 480 484 495 500 504 519 520 525 528 536 540 546 550 560 572 576 585 594 600 603 605 616 624 625 630 650 660 670 672 675 692 693 700 702 704 715 720 726 728 737 750 756 770 780 792 800 804 819 825 832 840 847 858 864 865 871 875 880 900 910 924 936 938 945 960 968 975 990 1000 1001 1005 1008 1038 1040 1050 1056 1072 1080 1089 1092 1100 1120 1125 1144 1155 1170 1188 1200 1206 1210 1211 1232 1248 1250 1260 1287 1300 1320 1340 1344 1350 1365 1375 1384 1386 1400 1404 1407 1430 1440 1452 1456 1474 1485 1500 1512 1540 1557 1560 1573 1575 1584 1600 1608 1625 1638 1650 1675 1680 1694 1716 1728 1730 1742 1750 1755 1760 1800 1809 1815 1820 1848 1872 1875 1876 1890 1903 1925 1936 1950 1980 2000 2002 2010 2016 2076 2079 2080 2100 2112 2144 2145 2160 2178 2184 2200 2211 2240 2249 2250 2275 2288 2310 2340 2345 2376 2400 2412 2420 2422 2457 2464 2475 2496 2500 2520 2541 2574 2595 2600 2613 2625 2640 2680 2700 2730 2750 2768 2772 2800 2808 2814 2860 2880 2904 2912 2925 2948 2970 3000 3003 3015 3024 3025 3080 3114 3120 3146 3150 3168 3216 3250 3267 3276 3300 3350 3360 3375 3388 3432 3460 3465 3484 3500 3510 3520 3575 3600 3618 3630 3633 3640 3685 3696 3744 3750 3752 3780 3806 3850 3861 3872 3900 3960 4000 4004 4020 4032 4095 4125 4152 4158 4160 4200 4221 4235 4288 4290 4320 4325 4355 4356 4368 4375 4400 4422 4498 4500 4550 4576 4620 4671 4680 4690 4719 4725 4752 4800 4824 4840 4844 4875 4914 4928 4950 5000 5005 5025 5040 5082 5148 5159 5190 5200 5226 5250 5280 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- Sum of all divisors σ(n): 699266255170560
- Sum of proper divisors (its aliquot sum) s(n): 561427474090560
- 137838781080000 is an abundant number, because the sum of its proper divisors (561427474090560) is greater than itself. Its abundance is 423588693010560
Bases of 137838781080000
- Binary: 111110101011101000101111001010100100001110000002
- Hexadecimal: 0x7D5D179521C0
- Base-36: 1CUY9FD2O0
Squares and roots of 137838781080000
- 137838781080000 squared (1378387810800002) is 18999529569620165966400000000
- 137838781080000 cubed (1378387810800003) is 2618871996969860675395876235712000000000000
-
The
square root of 137838781080000 is 11740476.1862541163 -
The
cube root of 137838781080000 is 51656.3609421169
Scales and comparisons
How big is 137838781080000?- 137,838,781,080,000 seconds is equal to 4,382,846 years, 45 weeks, 3 days, 12 hours.
-
To count from 1 to 137,838,781,080,000 would take you about ten million, nine hundred fifty-seven thousand, one hundred seventeen 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 137838781080000 cubic inches would be around 4304.7 feet tall.
Recreational maths with 137838781080000
- 137838781080000 backwards is 000080187838731
- 137838781080000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137838781080000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 137838781080000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 137838781080000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/137838781080000/
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Numbermatics. 2024. "Number 137838781080000 - Facts about the integer". https://numbermatics.com/n/137838781080000/
The information we have on file for 137838781080000 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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