131378772096000
131,378,772,096,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 131378772096000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3520 divisors.
131378772096000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, five hundred twenty divisors.
Prime factorization of 131378772096000:
210 × 33 × 53 × 113 × 134
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 13 × 13 × 13 × 13)See below for interesting mathematical facts about the number 131378772096000 from the Numbermatics database.
Names of 131378772096000
- Cardinal: 131378772096000 can be written as One hundred thirty-one trillion, three hundred seventy-eight billion, seven hundred seventy-two million, ninety-six thousand.
Scientific notation
- Scientific notation: 1.31378772096 × 1014
Factors of 131378772096000
Divisors of 131378772096000
- Number of divisors d(n): 3520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 32 33 36 39 40 44 45 48 50 52 54 55 60 64 65 66 72 75 78 80 88 90 96 99 100 104 108 110 117 120 121 125 128 130 132 135 143 144 150 156 160 165 169 176 180 192 195 198 200 208 216 220 225 234 240 242 250 256 260 264 270 275 286 288 297 300 312 320 325 330 338 351 352 360 363 375 384 390 396 400 416 429 432 440 450 468 480 484 495 500 507 512 520 528 540 550 572 576 585 594 600 605 624 640 650 660 675 676 702 704 715 720 726 750 768 780 792 800 825 832 845 858 864 880 900 936 960 968 975 990 1000 1014 1024 1040 1056 1080 1089 1100 1125 1144 1152 1170 1188 1200 1210 1248 1280 1287 1300 1320 1331 1350 1352 1375 1404 1408 1430 1440 1452 1485 1500 1521 1536 1560 1573 1584 1600 1625 1650 1664 1690 1716 1728 1755 1760 1800 1815 1859 1872 1920 1936 1950 1980 2000 2028 2080 2112 2145 2160 2178 2197 2200 2250 2288 2304 2340 2376 2400 2420 2475 2496 2535 2560 2574 2600 2640 2662 2700 2704 2750 2808 2816 2860 2880 2904 2925 2970 3000 3025 3042 3072 3120 3146 3168 3200 3250 3267 3300 3328 3375 3380 3432 3456 3510 3520 3575 3600 3630 3718 3744 3840 3861 3872 3900 3960 3993 4000 4056 4125 4160 4224 4225 4290 4320 4356 4394 4400 4500 4563 4576 4608 4680 4719 4752 4800 4840 4875 4950 4992 5070 5120 5148 5200 5280 5324 5400 5408 5445 5500 5577 5616 5632 5720 5760 5808 5850 5940 6000 6050 6084 6240 6292 6336 6400 6435 6500 6534 6591 6600 6655 6656 6750 6760 6864 6912 7020 7040 7150 7200 7260 7425 7436 7488 7605 7680 7722 7744 7800 7865 7920 7986 8000 8112 8250 8320 8448 8450 8580 8640 8712 8775 8788 8800 9000 9075 9126 9152 9216 9295 9360 9438 9504 9600 9680 9750 9900 9984 10140 10296 10400 10560 10648 10725 10800 10816 10890 10985 11000 11154 11232 11264 11440 11520 11616 11700 11880 11979 12000 12100 12168 12375 12480 12584 12672 12675 12800 12870 13000 13068 13182 13200 13310 13312 13500 13520 13728 13824 14040 14080 14157 14300 14400 14520 14625 14850 14872 14976 15125 15210 15360 15444 15488 15600 15730 15840 15972 16000 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486588044800 497646864000 505302969600 513198328500 525515088384 542887488000 547411550400 561447744000 583905653760 597176236800 608235056000 631628712000 656893860480 663529152000 673737292800 684264438000 729882067200 746470296000 777389184000 796234982400 821117325600 842171616000 875858480640 912352584000 918732672000 973176089600 995293728000 1010605939200 1026396657000 1051030176768 1085774976000 1094823100800 1122895488000 1194352473600 1216470112000 1263257424000 1313787720960 1327058304000 1368528876000 1459764134400 1492940592000 1642234651200 1684343232000 1751716961280 1824705168000 1990587456000 2021211878400 2052793314000 2189646201600 2388704947200 2432940224000 2526514848000 2627575441920 2737057752000 2919528268800 2985881184000 3284469302400 3368686464000 3649410336000 3981174912000 4105586628000 4379292403200 4865880448000 5053029696000 5255150883840 5474115504000 5971762368000 6568938604800 7298820672000 8211173256000 8758584806400 10106059392000 10948231008000 11943524736000 13137877209600 14597641344000 16422346512000 21896462016000 26275754419200 32844693024000 43792924032000 65689386048000 131378772096000
- Sum of all divisors σ(n): 578599234686720
- Sum of proper divisors (its aliquot sum) s(n): 447220462590720
- 131378772096000 is an abundant number, because the sum of its proper divisors (447220462590720) is greater than itself. Its abundance is 315841690494720
Bases of 131378772096000
- Binary: 111011101111101000000010000101010110100000000002
- Hexadecimal: 0x777D010AB400
- Base-36: 1AKIKOT1C0
Squares and roots of 131378772096000
- 131378772096000 squared (1313787720960002) is 17260381757452708233216000000
- 131378772096000 cubed (1313787720960003) is 2267647761202335304469667681140736000000000
-
The
square root of 131378772096000 is 11462057.9345944679 -
The
cube root of 131378772096000 is 50836.4325338705
Scales and comparisons
How big is 131378772096000?- 131,378,772,096,000 seconds is equal to 4,177,438 years, 29 weeks, 5 days.
-
To count from 1 to 131,378,772,096,000 would take you about ten million, four hundred forty-three thousand, five 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 131378772096000 cubic inches would be around 4236.4 feet tall.
Recreational maths with 131378772096000
- 131378772096000 backwards is 000690277873131
- 131378772096000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131378772096000's digits is 54
- More coming soon!
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"Number 131378772096000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 131378772096000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/131378772096000/
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The information we have on file for 131378772096000 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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