13312274976000
13,312,274,976,000 is an even composite number composed of eight prime numbers multiplied together.
13312274976000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13312274976000:
28 × 32 × 53 × 7 × 11 × 13 × 61 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 13 × 61 × 757)See below for interesting mathematical facts about the number 13312274976000 from the Numbermatics database.
Names of 13312274976000
- Cardinal: 13312274976000 can be written as Thirteen trillion, three hundred twelve billion, two hundred seventy-four million, nine hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.3312274976 × 1013
Factors of 13312274976000
Divisors of 13312274976000
- Number of divisors d(n): 3456
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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 28 30 32 33 35 36 39 40 42 44 45 48 50 52 55 56 60 61 63 64 65 66 70 72 75 77 78 80 84 88 90 91 96 99 100 104 105 110 112 117 120 122 125 126 128 130 132 140 143 144 150 154 156 160 165 168 175 176 180 182 183 192 195 198 200 208 210 220 224 225 231 234 240 244 250 252 256 260 264 273 275 280 286 288 300 305 308 312 315 320 325 330 336 350 352 360 364 366 375 384 385 390 396 400 416 420 427 429 440 448 450 455 462 468 480 488 495 500 504 520 525 528 546 549 550 560 572 576 585 600 610 616 624 630 640 650 660 671 672 693 700 704 715 720 728 732 750 757 768 770 780 792 793 800 819 825 832 840 854 858 875 880 896 900 910 915 924 936 960 975 976 990 1000 1001 1008 1040 1050 1056 1092 1098 1100 1120 1125 1144 1152 1155 1170 1200 1220 1232 1248 1260 1280 1281 1287 1300 1320 1342 1344 1365 1375 1386 1400 1408 1430 1440 1456 1464 1500 1514 1525 1540 1560 1575 1584 1586 1600 1625 1638 1650 1664 1680 1708 1716 1750 1760 1792 1800 1820 1830 1848 1872 1920 1925 1950 1952 1980 2000 2002 2013 2016 2080 2100 2112 2135 2145 2184 2196 2200 2240 2250 2271 2275 2288 2304 2310 2340 2379 2400 2440 2464 2475 2496 2520 2562 2574 2600 2625 2640 2684 2688 2730 2745 2750 2772 2800 2816 2860 2880 2912 2925 2928 3000 3003 3028 3050 3080 3120 3150 3168 3172 3200 3250 3276 3300 3328 3355 3360 3416 3432 3465 3500 3520 3575 3600 3640 3660 3696 3744 3785 3840 3843 3850 3900 3904 3960 3965 4000 4004 4026 4032 4095 4125 4160 4200 4224 4270 4290 4368 4392 4400 4480 4500 4542 4550 4575 4576 4620 4680 4697 4758 4800 4875 4880 4928 4950 4992 5005 5040 5124 5148 5200 5250 5280 5299 5368 5376 5460 5490 5500 5544 5551 5600 5720 5760 5775 5824 5850 5856 6000 6006 6039 6056 6100 6160 6240 6300 6336 6344 6400 6405 6435 6500 6552 6600 6710 6720 6813 6825 6832 6864 6930 7000 7040 7137 7150 7200 7280 7320 7392 7488 7570 7625 7686 7700 7800 7808 7875 7920 7930 8000 8008 8052 8064 8190 8250 8320 8327 8400 8448 8540 8580 8723 8736 8784 8800 8960 9000 9009 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105652976000 106498199808 109117008000 110935624800 113780128000 118859598000 121020681600 126783571200 128002644000 133122749760 134467424000 138669531000 146288736000 147914166400 151275852000 158479464000 166403437200 170670192000 172886688000 177496999680 184892708000 190175356800 201701136000 204804230400 208004296500 211305952000 218234016000 221871249600 237719196000 242041363200 256005288000 266245499520 277339062000 295828332800 302551704000 316958928000 332806874400 341340384000 369785416000 380350713600 403402272000 416008593000 443742499200 475438392000 512010576000 532490999040 554678124000 605103408000 633917856000 665613748800 739570832000 832017186000 887484998400 950876784000 1024021152000 1109356248000 1210206816000 1331227497600 1479141664000 1664034372000 1901753568000 2218712496000 2662454995200 3328068744000 4437424992000 6656137488000 13312274976000
- Sum of all divisors σ(n): 65455932552192
- Sum of proper divisors (its aliquot sum) s(n): 52143657576192
- 13312274976000 is an abundant number, because the sum of its proper divisors (52143657576192) is greater than itself. Its abundance is 38831382600192
Bases of 13312274976000
- Binary: 110000011011100000010110101111001101000000002
- Hexadecimal: 0xC1B816BCD00
- Base-36: 4PVKOT340
Squares and roots of 13312274976000
- 13312274976000 squared (133122749760002) is 177216665036635800576000000
- 13312274976000 cubed (133122749760003) is 2359156975297380891233611186176000000000
-
The
square root of 13312274976000 is 3648599.0429204467 -
The
cube root of 13312274976000 is 23700.1317302939
Scales and comparisons
How big is 13312274976000?- 13,312,274,976,000 seconds is equal to 423,289 years, 8 weeks, 4 days, 16 hours.
-
To count from 1 to 13,312,274,976,000 would take you about one million, fifty-eight thousand, two hundred twenty-two 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 13312274976000 cubic inches would be around 1975 feet tall.
Recreational maths with 13312274976000
- 13312274976000 backwards is 00067947221331
- 13312274976000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13312274976000's digits is 45
- More coming soon!
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MLA style:
"Number 13312274976000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 13312274976000 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/13312274976000/
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The information we have on file for 13312274976000 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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