13914478468800
13,914,478,468,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13914478468800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3360 divisors.
13914478468800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.
Prime factorization of 13914478468800:
26 × 34 × 52 × 7 × 13 × 53 × 113 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 53 × 113 × 197)See below for interesting mathematical facts about the number 13914478468800 from the Numbermatics database.
Names of 13914478468800
- Cardinal: 13914478468800 can be written as Thirteen trillion, nine hundred fourteen billion, four hundred seventy-eight million, four hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.39144784688 × 1013
Factors of 13914478468800
Divisors of 13914478468800
- Number of divisors d(n): 3360
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 53 54 56 60 63 64 65 70 72 75 78 80 81 84 90 91 96 100 104 105 106 108 112 113 117 120 126 130 135 140 144 150 156 159 160 162 168 175 180 182 189 192 195 197 200 208 210 212 216 224 225 226 234 240 252 260 265 270 273 280 288 300 312 315 318 320 324 325 336 339 350 351 360 364 371 378 390 394 400 405 416 420 424 432 448 450 452 455 468 477 480 504 520 525 530 540 546 560 565 567 576 585 591 600 624 630 636 648 650 672 675 678 689 700 702 720 728 742 756 780 788 791 795 800 810 819 832 840 848 864 900 904 910 936 945 954 960 975 985 1008 1017 1040 1050 1053 1060 1080 1092 1113 1120 1130 1134 1170 1182 1200 1248 1260 1272 1296 1300 1325 1344 1350 1356 1365 1378 1379 1400 1404 1431 1440 1456 1469 1484 1512 1560 1575 1576 1582 1590 1600 1620 1638 1680 1695 1696 1728 1755 1773 1800 1808 1820 1855 1872 1890 1908 1950 1970 2016 2025 2034 2067 2080 2100 2106 2120 2160 2184 2226 2240 2260 2268 2275 2340 2364 2373 2385 2400 2457 2496 2520 2544 2561 2592 2600 2650 2700 2712 2730 2756 2758 2800 2808 2825 2835 2862 2880 2912 2925 2938 2955 2968 3024 3051 3120 3150 3152 3164 3180 3240 3276 3339 3360 3390 3392 3445 3510 3546 3600 3616 3640 3710 3744 3780 3816 3900 3940 3955 3975 4032 4050 4068 4095 4134 4137 4160 4200 4212 4240 4293 4320 4368 4407 4452 4520 4536 4550 4680 4725 4728 4746 4770 4800 4823 4914 4925 5040 5085 5088 5122 5184 5200 5265 5300 5319 5400 5424 5460 5512 5516 5565 5600 5616 5650 5670 5724 5824 5850 5876 5910 5936 5989 6048 6102 6201 6240 6300 6304 6328 6360 6480 6552 6678 6720 6780 6825 6890 6895 7020 7092 7119 7155 7200 7232 7280 7345 7371 7420 7488 7560 7632 7683 7800 7880 7910 7950 8100 8136 8190 8268 8274 8400 8424 8475 8480 8586 8640 8736 8775 8814 8865 8904 9040 9072 9100 9153 9275 9360 9450 9456 9492 9540 9646 9828 9850 10017 10080 10170 10176 10244 10283 10335 10400 10441 10530 10600 10638 10800 10848 10920 11024 11032 11130 11200 11232 11300 11340 11448 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53517224880 55216184400 57976993620 59463583200 61568488800 61842126528 62118207450 64418881800 65634332400 66259421280 66896531100 69572392344 70631870400 71356299840 72471242025 73621579200 76453178400 77302658160 79511305536 82824276600 85891842400 86965490430 87512443200 89195374800 92763189792 96628322700 99389131920 103070210880 107034449760 110432368800 115953987240 118927166400 123136977600 124236414900 128837763600 131268664800 132518842560 133793062200 139144784688 144942484050 152906356800 154605316320 165648553200 171783684800 173930980860 178390749600 185526379584 193256645400 198778263840 214068899520 217413726075 220864737600 231907974480 248472829800 257675527200 262537329600 267586124400 278289569376 289884968100 309210632640 331297106400 347861961720 356781499200 386513290800 397556527680 434827452150 463815948960 496945659600 515351054400 535172248800 556579138752 579769936200 662594212800 695723923440 773026581600 869654904300 927631897920 993891319200 1070344497600 1159539872400 1391447846880 1546053163200 1739309808600 1987782638400 2319079744800 2782895693760 3478619617200 4638159489600 6957239234400 13914478468800
- Sum of all divisors σ(n): 65032823382912
- Sum of proper divisors (its aliquot sum) s(n): 51118344914112
- 13914478468800 is an abundant number, because the sum of its proper divisors (51118344914112) is greater than itself. Its abundance is 37203866445312
Bases of 13914478468800
- Binary: 110010100111101101111000101111011110110000002
- Hexadecimal: 0xCA7B78BDEC0
- Base-36: 4XK817W00
Squares and roots of 13914478468800
- 13914478468800 squared (139144784688002) is 193612711058698792573440000
- 13914478468800 cubed (139144784688003) is 2694019899312260002207688222748672000000
-
The
square root of 13914478468800 is 3730211.5849908567 -
The
cube root of 13914478468800 is 24052.2464055137
Scales and comparisons
How big is 13914478468800?- 13,914,478,468,800 seconds is equal to 442,437 years, 19 weeks, 3 days, 12 hours.
-
To count from 1 to 13,914,478,468,800 would take you about one million, one hundred six thousand and ninety-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 13914478468800 cubic inches would be around 2004.4 feet tall.
Recreational maths with 13914478468800
- 13914478468800 backwards is 00886487441931
- 13914478468800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13914478468800's digits is 63
- More coming soon!
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"Number 13914478468800 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 13914478468800 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13914478468800/
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The information we have on file for 13914478468800 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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