12828604588800
12,828,604,588,800 is an even composite number composed of eight prime numbers multiplied together.
12828604588800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, eight hundred eighty-eight divisors.
Prime factorization of 12828604588800:
28 × 3 × 52 × 7 × 11 × 13 × 192 × 432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 13 × 19 × 19 × 43 × 43)See below for interesting mathematical facts about the number 12828604588800 from the Numbermatics database.
Names of 12828604588800
- Cardinal: 12828604588800 can be written as Twelve trillion, eight hundred twenty-eight billion, six hundred four million, five hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.28286045888 × 1013
Factors of 12828604588800
Divisors of 12828604588800
- Number of divisors d(n): 3888
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 19 20 21 22 24 25 26 28 30 32 33 35 38 39 40 42 43 44 48 50 52 55 56 57 60 64 65 66 70 75 76 77 78 80 84 86 88 91 95 96 100 104 105 110 112 114 120 128 129 130 132 133 140 143 150 152 154 156 160 165 168 172 175 176 182 190 192 195 200 208 209 210 215 220 224 228 231 240 247 256 258 260 264 266 273 275 280 285 286 300 301 304 308 312 320 325 330 336 344 350 352 361 364 380 384 385 390 399 400 416 418 420 429 430 440 448 455 456 462 473 475 480 494 516 520 525 528 532 546 550 559 560 570 572 600 602 608 616 624 627 640 645 650 660 665 672 688 700 704 715 722 728 741 760 768 770 780 798 800 817 825 832 836 840 858 860 880 896 903 910 912 924 946 950 960 975 988 1001 1032 1040 1045 1050 1056 1064 1075 1083 1092 1100 1118 1120 1140 1144 1155 1200 1204 1216 1232 1235 1248 1254 1280 1290 1300 1320 1330 1344 1365 1376 1400 1408 1419 1425 1430 1444 1456 1463 1482 1505 1520 1540 1560 1596 1600 1634 1650 1664 1672 1677 1680 1716 1720 1729 1760 1792 1805 1806 1820 1824 1848 1849 1892 1900 1920 1925 1950 1976 1995 2002 2064 2080 2090 2100 2112 2128 2145 2150 2166 2184 2200 2236 2240 2275 2280 2288 2310 2365 2400 2408 2432 2451 2464 2470 2496 2508 2527 2580 2600 2640 2660 2688 2717 2730 2752 2795 2800 2816 2838 2850 2860 2888 2912 2926 2964 3003 3010 3040 3080 3120 3135 3192 3200 3225 3268 3300 3311 3325 3328 3344 3354 3360 3432 3440 3458 3520 3575 3610 3612 3640 3648 3696 3698 3705 3784 3800 3840 3850 3900 3913 3952 3971 3990 4004 4085 4128 4160 4180 4200 4224 4256 4290 4300 4332 4368 4389 4400 4472 4480 4515 4550 4560 4576 4620 4693 4730 4800 4816 4864 4902 4928 4940 4992 5005 5016 5054 5160 5187 5200 5225 5280 5320 5376 5415 5434 5460 5504 5547 5590 5600 5676 5700 5719 5720 5775 5776 5824 5852 5928 6006 6020 6080 6149 6160 6175 6240 6270 6384 6400 6450 6536 6600 6622 6650 6688 6708 6720 6825 6864 6880 6916 7040 7095 7150 7220 7224 7280 7296 7315 7392 7396 7410 7525 7568 7581 7600 7700 7800 7826 7904 7942 7980 8008 8151 8170 8256 8320 8360 8385 8400 8448 8512 8580 8600 8645 8664 8736 8778 8800 8944 8960 8987 9025 9030 9100 9120 9152 9240 9245 9386 9460 9600 9632 9804 9856 9880 9933 9975 9984 10010 10032 10108 10320 10374 10400 10450 10560 10621 10640 10725 10830 10868 10920 11008 11094 11180 11200 11352 11400 11438 11440 11550 11552 11648 11704 11739 11825 11856 11913 12012 12040 12160 12255 12298 12320 12350 12480 12540 12635 12768 12900 12943 13072 13200 13244 13300 13376 13416 13440 13585 13650 13728 13760 13832 13975 14079 14080 14190 14300 14440 14448 14560 14592 14630 14784 14792 14820 15015 15050 15136 15162 15200 15400 15523 15600 15652 15675 15808 15884 15960 16016 16302 16340 16512 16555 16640 16720 16770 16800 17024 17157 17160 17200 17290 17328 17472 17556 17600 17888 17974 18050 18060 18200 18240 18304 18447 18480 18490 18525 18772 18920 19019 19200 19264 19565 19608 19712 19760 19855 19866 19950 20020 20064 20216 20339 20425 20640 20748 20800 20900 21120 21242 21280 21450 21660 21736 21840 21945 22188 22360 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42762015296 44855260800 45012647680 45816444960 46649471232 46991225600 48227836800 48593199200 49340786880 49723273600 50111736675 51937670400 53452519120 55535084800 56265809600 57270556200 58311839040 59667928320 61088593280 61380883200 61675983600 64143022944 65787715840 66815648900 67518971520 70486838400 72889798800 73306311936 74584910400 76360741600 77749118720 80178778680 82234644800 83302627200 84398714400 85524030592 89710521600 91632889920 96455673600 97186398400 98681573760 99446547200 100223473350 106905038240 112531619200 114541112400 116623678080 122177186560 123351967200 128286045888 133631297800 135037943040 140973676800 145779597600 149169820800 152721483200 160357557360 164469289600 166605254400 168797428800 171048061184 183265779840 194372796800 197363147520 200446946700 213810076480 225063238400 229082224800 233247356160 246703934400 256572091776 267262595600 291559195200 298339641600 305442966400 320715114720 328938579200 337594857600 366531559680 388745593600 400893893400 427620152960 458164449600 493407868800 513144183552 534525191200 583118390400 610885932800 641430229440 675189715200 801787786800 855240305920 916328899200 986815737600 1069050382400 1166236780800 1282860458880 1603575573600 1832657798400 2138100764800 2565720917760 3207151147200 4276201529600 6414302294400 12828604588800
- Sum of all divisors σ(n): 61421079299328
- Sum of proper divisors (its aliquot sum) s(n): 48592474710528
- 12828604588800 is an abundant number, because the sum of its proper divisors (48592474710528) is greater than itself. Its abundance is 35763870121728
Bases of 12828604588800
- Binary: 101110101010111001000110101101100011000000002
- Hexadecimal: 0xBAAE46B6300
- Base-36: 4JPDNY3UO
Squares and roots of 12828604588800
- 12828604588800 squared (128286045888002) is 164573095695780417085440000
- 12828604588800 cubed (128286045888003) is 2111243170635910187419453505667072000000
-
The
square root of 12828604588800 is 3581704.1459059681 -
The
cube root of 12828604588800 is 23409.5540093843
Scales and comparisons
How big is 12828604588800?- 12,828,604,588,800 seconds is equal to 407,909 years, 49 weeks, 18 hours, 40 minutes.
-
To count from 1 to 12,828,604,588,800 would take you about one million, nineteen thousand, seven hundred seventy-four 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 12828604588800 cubic inches would be around 1950.8 feet tall.
Recreational maths with 12828604588800
- 12828604588800 backwards is 00888540682821
- 12828604588800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12828604588800's digits is 60
- More coming soon!
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Cite this page
MLA style:
"Number 12828604588800 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 12828604588800 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/12828604588800/
Chicago style:
Numbermatics. 2024. "Number 12828604588800 - Facts about the integer". https://numbermatics.com/n/12828604588800/
The information we have on file for 12828604588800 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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