2138824564800
2,138,824,564,800 is an even composite number composed of nine prime numbers multiplied together.
2138824564800 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 2138824564800:
26 × 3 × 52 × 7 × 11 × 29 × 31 × 41 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 29 × 31 × 41 × 157)See below for interesting mathematical facts about the number 2138824564800 from the Numbermatics database.
Names of 2138824564800
- Cardinal: 2138824564800 can be written as Two trillion, one hundred thirty-eight billion, eight hundred twenty-four million, five hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 2.1388245648 × 1012
Factors of 2138824564800
Divisors of 2138824564800
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 29 30 31 32 33 35 40 41 42 44 48 50 55 56 58 60 62 64 66 70 75 77 80 82 84 87 88 93 96 100 105 110 112 116 120 123 124 132 140 145 150 154 155 157 160 164 165 168 174 175 176 186 192 200 203 205 210 217 220 224 231 232 240 246 248 264 275 280 287 290 300 308 310 314 319 320 328 330 336 341 348 350 352 372 385 400 406 410 420 434 435 440 448 451 462 464 465 471 480 492 496 525 528 550 560 574 580 600 609 615 616 620 628 638 651 656 660 672 682 696 700 704 725 744 770 775 785 800 812 820 825 840 861 868 870 880 899 902 924 928 930 942 957 960 984 992 1015 1023 1025 1050 1056 1085 1099 1100 1120 1148 1155 1160 1189 1200 1218 1230 1232 1240 1256 1271 1276 1302 1312 1320 1344 1353 1364 1392 1400 1435 1450 1488 1540 1550 1570 1595 1600 1624 1640 1650 1680 1705 1722 1727 1736 1740 1760 1798 1804 1848 1856 1860 1884 1914 1925 1968 1984 2030 2046 2050 2100 2112 2170 2175 2198 2200 2233 2240 2255 2296 2310 2320 2325 2355 2378 2387 2400 2436 2460 2464 2480 2512 2542 2552 2604 2624 2640 2697 2706 2728 2784 2800 2870 2900 2976 3045 3075 3080 3100 3140 3157 3190 3248 3255 3280 3297 3300 3360 3410 3444 3454 3472 3480 3520 3567 3596 3608 3696 3720 3768 3813 3828 3850 3925 3936 4060 4092 4100 4200 4305 4340 4350 4396 4400 4466 4495 4510 4553 4592 4620 4640 4650 4710 4756 4774 4785 4800 4867 4872 4920 4928 4960 5024 5075 5084 5104 5115 5181 5208 5280 5394 5412 5425 5456 5495 5568 5600 5740 5775 5800 5945 5952 6090 6150 6160 6200 6280 6293 6314 6355 6380 6437 6496 6510 6560 6594 6600 6699 6720 6765 6820 6888 6908 6944 6960 7134 7161 7175 7192 7216 7392 7440 7536 7626 7656 7700 7850 7872 7975 8120 8184 8200 8323 8400 8525 8610 8635 8680 8700 8792 8800 8897 8932 8990 9020 9106 9184 9240 9280 9300 9420 9471 9512 9548 9570 9734 9744 9840 9889 9920 10048 10150 10168 10208 10230 10362 10416 10560 10788 10824 10850 10912 10990 11165 11200 11275 11480 11550 11600 11775 11890 11935 12089 12180 12300 12320 12400 12560 12586 12628 12710 12760 12874 12992 13020 13079 13120 13188 13200 13398 13485 13530 13640 13659 13776 13816 13888 13920 13981 14268 14322 14350 14384 14432 14601 14784 14880 15072 15225 15252 15312 15400 15700 15785 15950 16240 16275 16368 16400 16485 16646 16800 17050 17220 17270 17360 17400 17584 17600 17794 17835 17864 17980 18040 18212 18368 18480 18600 18840 18879 18942 19024 19065 19096 19140 19311 19468 19488 19680 19778 20300 20336 20416 20460 20724 20832 21525 21576 21648 21700 21824 21980 22330 22475 22550 22765 22960 23100 23200 23550 23780 23870 23925 24178 24335 24360 24600 24640 24800 24969 25120 25172 25256 25420 25520 25575 25748 25905 26040 26158 26376 26400 26691 26796 26970 27060 27280 27318 27475 27552 27632 27840 27962 28536 28644 28700 28768 28864 29202 29667 29725 29760 30144 30450 30504 30624 30800 31400 31465 31570 31775 31871 31900 32185 32480 32550 32736 32800 32970 33292 33495 33600 33825 34069 34100 34440 34540 34720 34800 35168 35588 35670 35728 35805 35960 36080 36267 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3136106400 3182774650 3240643280 3260403300 3285444800 3352389600 3405771600 3449717040 3472117800 3477763520 3512027200 3564707608 3687628560 3726175200 3819329580 3888771936 4050804100 4073951552 4312146300 4347204400 4455884510 4541028800 4599622720 4609535700 4629490400 4742404800 4774161975 4860964920 4916838080 4928167200 5092439440 5216645280 5268040800 5347061412 5555388480 5749528400 6076206150 6110927328 6146047600 6272212800 6365549300 6481286560 6520806600 6683826765 6704779200 6811543200 6899434080 6944235600 7129415216 7375257120 7452350400 7638659160 7777543872 8101608200 8624292600 8694408800 8911769020 9219071400 9258980800 9548323950 9721929840 9856334400 10184878880 10433290560 10536081600 10694122824 11139711275 11499056800 12152412300 12221854656 12292095200 12731098600 12962573120 13041613200 13367653530 13623086400 13798868160 13888471200 14258830432 14750514240 15277318320 16203216400 17248585200 17388817600 17823538040 18438142800 19096647900 19443859680 20369757760 21388245648 22279422550 22998113600 24304824600 24584190400 25462197200 26083226400 26735307060 27776942400 28517660864 30554636640 32406432800 33419133825 34497170400 35647076080 36876285600 38193295800 38887719360 42776491296 44558845100 48609649200 50924394400 52166452800 53470614120 61109273280 64812865600 66838267650 68994340800 71294152160 73752571200 76386591600 85552982592 89117690200 97219298400 101848788800 106941228240 133676535300 142588304320 152773183200 178235380400 194438596800 213882456480 267353070600 305546366400 356470760800 427764912960 534706141200 712941521600 1069412282400 2138824564800
- Sum of all divisors σ(n): 9631063572480
- Sum of proper divisors (its aliquot sum) s(n): 7492239007680
- 2138824564800 is an abundant number, because the sum of its proper divisors (7492239007680) is greater than itself. Its abundance is 5353414442880
Bases of 2138824564800
- Binary: 111110001111110111110000011100000010000002
- Hexadecimal: 0x1F1FBE0E040
- Base-36: RAK8X8AO
Squares and roots of 2138824564800
- 2138824564800 squared (21388245648002) is 4574570518991909399040000
- 2138824564800 cubed (21388245648003) is 9784203799429780755122757537792000000
-
The
square root of 2138824564800 is 1462472.0731692623 -
The
cube root of 2138824564800 is 12884.2275932347
Scales and comparisons
How big is 2138824564800?- 2,138,824,564,800 seconds is equal to 68,008 years, 1 day, 22 hours, 40 minutes.
-
To count from 1 to 2,138,824,564,800 would take you about one hundred seventy thousand and twenty 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 2138824564800 cubic inches would be around 1073.7 feet tall.
Recreational maths with 2138824564800
- 2138824564800 backwards is 0084654288312
- The number of decimal digits it has is: 13
- The sum of 2138824564800's digits is 51
- More coming soon!
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The information we have on file for 2138824564800 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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