20828890368000
20,828,890,368,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 20828890368000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
20828890368000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 20828890368000:
211 × 33 × 53 × 11 × 132 × 1621
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 13 × 13 × 1621)See below for interesting mathematical facts about the number 20828890368000 from the Numbermatics database.
Names of 20828890368000
- Cardinal: 20828890368000 can be written as Twenty trillion, eight hundred twenty-eight billion, eight hundred ninety million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 2.0828890368 × 1013
Factors of 20828890368000
Divisors of 20828890368000
- Number of divisors d(n): 2304
-
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 99 100 104 108 110 117 120 125 128 130 132 135 143 144 150 156 160 165 169 176 180 192 195 198 200 208 216 220 225 234 240 250 256 260 264 270 275 286 288 297 300 312 320 325 330 338 351 352 360 375 384 390 396 400 416 429 432 440 450 468 480 495 500 507 512 520 528 540 550 572 576 585 594 600 624 640 650 660 675 676 702 704 715 720 750 768 780 792 800 825 832 845 858 864 880 900 936 960 975 990 1000 1014 1024 1040 1056 1080 1100 1125 1144 1152 1170 1188 1200 1248 1280 1287 1300 1320 1350 1352 1375 1404 1408 1430 1440 1485 1500 1521 1536 1560 1584 1600 1621 1625 1650 1664 1690 1716 1728 1755 1760 1800 1859 1872 1920 1950 1980 2000 2028 2048 2080 2112 2145 2160 2200 2250 2288 2304 2340 2376 2400 2475 2496 2535 2560 2574 2600 2640 2700 2704 2750 2808 2816 2860 2880 2925 2970 3000 3042 3072 3120 3168 3200 3242 3250 3300 3328 3375 3380 3432 3456 3510 3520 3575 3600 3718 3744 3840 3861 3900 3960 4000 4056 4125 4160 4224 4225 4290 4320 4400 4500 4563 4576 4608 4680 4752 4800 4863 4875 4950 4992 5070 5120 5148 5200 5280 5400 5408 5500 5577 5616 5632 5720 5760 5850 5940 6000 6084 6144 6240 6336 6400 6435 6484 6500 6600 6656 6750 6760 6864 6912 7020 7040 7150 7200 7425 7436 7488 7605 7680 7722 7800 7920 8000 8105 8112 8250 8320 8448 8450 8580 8640 8775 8800 9000 9126 9152 9216 9295 9360 9504 9600 9726 9750 9900 9984 10140 10240 10296 10400 10560 10725 10800 10816 11000 11154 11232 11264 11440 11520 11700 11880 12000 12168 12375 12480 12672 12675 12800 12870 12968 13000 13200 13312 13500 13520 13728 13824 14040 14080 14300 14400 14589 14625 14850 14872 14976 15210 15360 15444 15600 15840 16000 16210 16224 16500 16640 16731 16896 16900 17160 17280 17550 17600 17831 17875 18000 18252 18304 18432 18590 18720 19008 19200 19305 19452 19500 19800 19968 20280 20592 20800 21073 21120 21125 21450 21600 21632 22000 22308 22464 22528 22815 22880 23040 23400 23760 24000 24315 24336 24750 24960 25344 25350 25600 25740 25936 26000 26400 26624 27000 27040 27456 27648 27885 28080 28160 28600 28800 29178 29250 29700 29744 29952 30420 30720 30888 31200 31680 32000 32175 32420 32448 33000 33280 33462 33792 33800 34320 34560 35100 35200 35662 35750 36000 36504 36608 37125 37180 37440 38016 38025 38400 38610 38904 39000 39600 39936 40525 40560 41184 41600 42146 42240 42250 42900 43200 43264 43767 43875 44000 44616 44928 45630 45760 46080 46475 46800 47520 48000 48630 48672 49500 49920 50193 50688 50700 51200 51480 51872 52000 52800 53493 53625 54000 54080 54912 55296 55770 56160 56320 57200 57600 58356 58500 59400 59488 59904 60840 61776 62400 63219 63360 63375 64000 64350 64840 64896 66000 66560 66924 67584 67600 68640 69120 70200 70400 71324 71500 72000 72945 73008 73216 74250 74360 74880 76032 76050 76800 77220 77808 78000 79200 79872 81050 81120 82368 83200 83655 84292 84480 84500 85800 86400 86528 87534 87750 88000 89155 89232 89856 91260 91520 92160 92950 93600 95040 96000 96525 97260 97344 99000 99840 100386 101376 101400 102960 103744 104000 105365 105600 106986 107250 108000 108160 109824 111540 112320 112640 114075 114400 115200 116712 117000 118800 118976 119808 121575 121680 123552 124800 126438 126720 126750 128000 128700 129680 129792 132000 133120 133848 135200 137280 138240 139425 140400 140800 142648 143000 144000 145890 146016 146432 148500 148720 149760 152064 152100 153600 154440 155616 156000 158400 160479 160875 162100 162240 164736 166400 167310 168584 168960 169000 171600 172800 173056 175068 175500 176000 178310 178464 179712 182520 183040 185900 187200 189657 190080 190125 192000 193050 194520 194688 198000 199680 200772 202625 202752 202800 205920 207488 208000 210730 211200 213972 214500 216000 216320 218835 219648 223080 224640 228150 228800 230400 231803 232375 233424 234000 237600 237952 239616 243150 243360 247104 249600 250965 252876 253440 253500 256000 257400 259360 259584 264000 267465 267696 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729450 730080 732160 743600 748800 758628 760320 760500 768000 772200 778080 778752 792000 802395 803088 810500 811200 821847 823680 829952 832000 836550 842920 844800 855888 858000 864000 865280 875340 878592 891550 892320 898560 912600 915200 927212 929500 933696 936000 948285 950400 951808 962874 965250 972600 973440 988416 998400 1003860 1011504 1013760 1014000 1029600 1037440 1038336 1053650 1056000 1069860 1070784 1081600 1094175 1095796 1098240 1115400 1123200 1137942 1140750 1141184 1144000 1152000 1159015 1167120 1168128 1188000 1189760 1198080 1215750 1216800 1235520 1244928 1248000 1254825 1264380 1267200 1283832 1287000 1296800 1297920 1317888 1337325 1338480 1348672 1352000 1369745 1372800 1382400 1390818 1394250 1400544 1404000 1408000 1426480 1427712 1458900 1460160 1464320 1487200 1497600 1517256 1520640 1521000 1544400 1556160 1557504 1580475 1584000 1604790 1606176 1621000 1622400 1643694 1647360 1659904 1664000 1673100 1685840 1689600 1711776 1716000 1728000 1730560 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130180564800 133518528000 138859269120 144645072000 145656576000 154288076800 157794624000 160222233600 162725706000 166631122944 173574086400 178024704000 189353548800 192860096000 200277792000 208288903680 210392832000 216967608000 231432115200 236691936000 260361129600 267037056000 277718538240 289290144000 315589248000 320444467200 325451412000 347148172800 378707097600 385720192000 400555584000 416577807360 433935216000 462864230400 473383872000 520722259200 534074112000 578580288000 631178496000 650902824000 694296345600 771440384000 801111168000 833155614720 867870432000 946767744000 1041444518400 1157160576000 1301805648000 1388592691200 1602222336000 1735740864000 1893535488000 2082889036800 2314321152000 2603611296000 3471481728000 4165778073600 5207222592000 6942963456000 10414445184000 20828890368000
- Sum of all divisors σ(n): 91016824953600
- Sum of proper divisors (its aliquot sum) s(n): 70187934585600
- 20828890368000 is an abundant number, because the sum of its proper divisors (70187934585600) is greater than itself. Its abundance is 49359044217600
Bases of 20828890368000
- Binary: 1001011110001100110101001110010001000000000002
- Hexadecimal: 0x12F19A9C8800
- Base-36: 7DSNRJEO0
Squares and roots of 20828890368000
- 20828890368000 squared (208288903680002) is 433842673962163175424000000
- 20828890368000 cubed (208288903680003) is 9036461492917864961033247916032000000000
-
The
square root of 20828890368000 is 4563867.9174577347 -
The
cube root of 20828890368000 is 27514.1042219483
Scales and comparisons
How big is 20828890368000?- 20,828,890,368,000 seconds is equal to 662,294 years, 14 weeks, 6 days.
-
To count from 1 to 20,828,890,368,000 would take you about one million, six hundred fifty-five thousand, seven hundred thirty-five 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 20828890368000 cubic inches would be around 2292.8 feet tall.
Recreational maths with 20828890368000
- 20828890368000 backwards is 00086309882802
- 20828890368000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 20828890368000's digits is 54
- More coming soon!
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MLA style:
"Number 20828890368000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 20828890368000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/20828890368000/
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Numbermatics. 2024. "Number 20828890368000 - Facts about the integer". https://numbermatics.com/n/20828890368000/
The information we have on file for 20828890368000 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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