213864768000
213,864,768,000 is an even composite number composed of four prime numbers multiplied together.
213864768000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 213864768000:
29 × 32 × 53 × 135
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 13)See below for interesting mathematical facts about the number 213864768000 from the Numbermatics database.
Names of 213864768000
- Cardinal: 213864768000 can be written as Two hundred thirteen billion, eight hundred sixty-four million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 2.13864768 × 1011
Factors of 213864768000
Divisors of 213864768000
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 144 150 156 160 169 180 192 195 200 208 225 234 240 250 256 260 288 300 312 320 325 338 360 375 384 390 400 416 450 468 480 500 507 512 520 576 585 600 624 640 650 676 720 750 768 780 800 832 845 900 936 960 975 1000 1014 1040 1125 1152 1170 1200 1248 1280 1300 1352 1440 1500 1521 1536 1560 1600 1625 1664 1690 1800 1872 1920 1950 2000 2028 2080 2197 2250 2304 2340 2400 2496 2535 2560 2600 2704 2880 2925 3000 3042 3120 3200 3250 3328 3380 3600 3744 3840 3900 4000 4056 4160 4225 4394 4500 4608 4680 4800 4875 4992 5070 5200 5408 5760 5850 6000 6084 6240 6400 6500 6591 6656 6760 7200 7488 7605 7680 7800 8000 8112 8320 8450 8788 9000 9360 9600 9750 9984 10140 10400 10816 10985 11520 11700 12000 12168 12480 12675 12800 13000 13182 13520 14400 14625 14976 15210 15600 16000 16224 16640 16900 17576 18000 18720 19200 19500 19773 19968 20280 20800 21125 21632 21970 23040 23400 24000 24336 24960 25350 26000 26364 27040 28561 28800 29250 29952 30420 31200 32000 32448 32955 33280 33800 35152 36000 37440 38025 38400 39000 39546 40560 41600 42250 43264 43940 46800 48000 48672 49920 50700 52000 52728 54080 54925 57122 57600 58500 59904 60840 62400 63375 64000 64896 65910 67600 70304 72000 74880 76050 78000 79092 81120 83200 84500 85683 86528 87880 93600 96000 97344 98865 99840 101400 104000 105456 108160 109850 114244 115200 117000 121680 124800 126750 129792 131820 135200 140608 142805 144000 149760 152100 156000 158184 162240 164775 166400 169000 171366 175760 187200 190125 192000 194688 197730 202800 208000 210912 216320 219700 228488 234000 243360 249600 253500 257049 259584 263640 270400 274625 281216 285610 288000 299520 304200 312000 316368 324480 329550 338000 342732 351520 371293 374400 380250 389376 395460 405600 416000 421824 428415 432640 439400 456976 468000 486720 494325 499200 507000 514098 527280 540800 549250 562432 571220 576000 608400 624000 632736 648960 659100 676000 685464 703040 714025 742586 748800 760500 778752 790920 811200 823875 832000 843648 856830 878800 913952 936000 973440 988650 1014000 1028196 1054560 1081600 1098500 1113879 1124864 1142440 1216800 1248000 1265472 1285245 1297920 1318200 1352000 1370928 1406080 1428050 1485172 1497600 1521000 1581840 1622400 1647750 1687296 1713660 1757600 1827904 1856465 1872000 1946880 1977300 2028000 2056392 2109120 2142075 2163200 2197000 2227758 2284880 2433600 2471625 2496000 2530944 2570490 2636400 2704000 2741856 2812160 2856100 2970344 3042000 3163680 3244800 3295500 3341637 3374592 3427320 3515200 3570125 3655808 3712930 3744000 3893760 3954600 4056000 4112784 4218240 4284150 4394000 4455516 4569760 4867200 4943250 5061888 5140980 5272800 5408000 5483712 5569395 5624320 5712200 5940688 6084000 6327360 6426225 6489600 6591000 6683274 6854640 7030400 7140250 7311616 7425860 7488000 7909200 8112000 8225568 8436480 8568300 8788000 8911032 9139520 9282325 9734400 9886500 10123776 10281960 10545600 10710375 10816000 10967424 11138790 11424400 11881376 12168000 12654720 12852450 13182000 13366548 13709280 14060800 14280500 14623232 14851720 15818400 16224000 16451136 16708185 16872960 17136600 17576000 17822064 18279040 18564650 19468800 19773000 20563920 21091200 21420750 21934848 22277580 22848800 23762752 24336000 25309440 25704900 26364000 26733096 27418560 27846975 28121600 28561000 29703440 31636800 32131125 32448000 32902272 33416370 34273200 35152000 35644128 36558080 37129300 39546000 41127840 42182400 42841500 43869696 44555160 45697600 46411625 47525504 48672000 50618880 51409800 52728000 53466192 54837120 55693950 57122000 59406880 63273600 64262250 65804544 66832740 68546400 70304000 71288256 73116160 74258600 79092000 82255680 83540925 84364800 85683000 89110320 91395200 92823250 95051008 97344000 102819600 105456000 106932384 109674240 111387900 114244000 118813760 126547200 128524500 131609088 133665480 137092800 139234875 140608000 142576512 148517200 158184000 164511360 167081850 171366000 178220640 182790400 185646500 190102016 205639200 210912000 213864768 219348480 222775800 228488000 237627520 253094400 257049000 267330960 274185600 278469750 285153024 297034400 316368000 329022720 334163700 342732000 356441280 365580800 371293000 411278400 417704625 421824000 427729536 445551600 456976000 475255040 514098000 534661920 548371200 556939500 570306048 594068800 632736000 658045440 668327400 685464000 712882560 742586000 822556800 835409250 855459072 891103200 913952000 950510080 1028196000 1069323840 1096742400 1113879000 1188137600 1265472000 1336654800 1370928000 1425765120 1485172000 1645113600 1670818500 1710918144 1782206400 1827904000 2056392000 2138647680 2227758000 2376275200 2673309600 2741856000 2851530240 2970344000 3290227200 3341637000 3564412800 4112784000 4277295360 4455516000 4752550400 5346619200 5483712000 5940688000 6683274000 7128825600 8225568000 8554590720 8911032000 10693238400 11881376000 13366548000 14257651200 16451136000 17822064000 21386476800 23762752000 26733096000 35644128000 42772953600 53466192000 71288256000 106932384000 213864768000
- Sum of all divisors σ(n): 834492354696
- Sum of proper divisors (its aliquot sum) s(n): 620627586696
- 213864768000 is an abundant number, because the sum of its proper divisors (620627586696) is greater than itself. Its abundance is 406762818696
Bases of 213864768000
- Binary: 110001110010110101010101100010000000002
- Hexadecimal: 0x31CB556200
- Base-36: 2Q8XK740
Squares and roots of 213864768000
- 213864768000 squared (2138647680002) is 45738138991693824000000
- 213864768000 cubed (2138647680003) is 9781776484210353596792832000000000
-
The
square root of 213864768000 is 462455.1524202103 -
The
cube root of 213864768000 is 5980.1638266397
Scales and comparisons
How big is 213864768000?- 213,864,768,000 seconds is equal to 6,800 years, 12 weeks, 2 days, 16 hours.
-
To count from 1 to 213,864,768,000 would take you about thirteen thousand, six hundred 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 213864768000 cubic inches would be around 498.3 feet tall.
Recreational maths with 213864768000
- 213864768000 backwards is 000867468312
- 213864768000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 213864768000's digits is 45
- More coming soon!
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The information we have on file for 213864768000 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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