12138207331200
12,138,207,331,200 is an even composite number composed of seven prime numbers multiplied together.
12138207331200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 12138207331200:
27 × 3 × 52 × 31 × 37 × 67 × 16453
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 31 × 37 × 67 × 16453)See below for interesting mathematical facts about the number 12138207331200 from the Numbermatics database.
Names of 12138207331200
- Cardinal: 12138207331200 can be written as Twelve trillion, one hundred thirty-eight billion, two hundred seven million, three hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.21382073312 × 1013
Factors of 12138207331200
Divisors of 12138207331200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 37 40 48 50 60 62 64 67 74 75 80 93 96 100 111 120 124 128 134 148 150 155 160 185 186 192 200 201 222 240 248 268 296 300 310 320 335 370 372 384 400 402 444 465 480 496 536 555 592 600 620 640 670 740 744 775 800 804 888 925 930 960 992 1005 1072 1110 1147 1184 1200 1240 1340 1480 1488 1550 1600 1608 1675 1776 1850 1860 1920 1984 2010 2077 2144 2220 2294 2325 2368 2400 2479 2480 2680 2775 2960 2976 3100 3200 3216 3350 3441 3552 3700 3720 3968 4020 4154 4288 4440 4588 4650 4736 4800 4958 4960 5025 5360 5550 5735 5920 5952 6200 6231 6432 6700 6882 7104 7400 7437 7440 8040 8308 8576 8880 9176 9300 9600 9916 9920 10050 10385 10720 11100 11470 11840 11904 12395 12400 12462 12864 13400 13764 14208 14800 14874 14880 16080 16453 16616 17205 17760 18352 18600 19832 19840 20100 20770 21440 22200 22940 23680 24790 24800 24924 25728 26800 27528 28675 29600 29748 29760 31155 32160 32906 33232 34410 35520 36704 37185 37200 39664 40200 41540 42880 44400 45880 49359 49580 49600 49848 51925 53600 55056 57350 59200 59496 59520 61975 62310 64320 65812 66464 68820 71040 73408 74370 74400 76849 79328 80400 82265 83080 86025 88800 91760 98718 99160 99200 99696 103850 107200 110112 114700 118400 118992 123950 124620 128640 131624 132928 137640 146816 148740 148800 153698 155775 158656 160800 164530 166160 172050 177600 183520 185925 197436 198320 199392 207700 214400 220224 229400 230547 237984 246795 247900 249240 263248 265856 275280 297480 297600 307396 311550 317312 321600 329060 332320 344100 355200 367040 371850 384245 394872 396640 398784 411325 415400 440448 458800 461094 475968 493590 495800 498480 510043 526496 550560 594960 608761 614792 623100 643200 658120 664640 688200 734080 743700 768490 789744 793280 797568 822650 830800 917600 922188 951936 987180 991600 996960 1020086 1052992 1101120 1102351 1152735 1189920 1217522 1229584 1233975 1246200 1316240 1329280 1376400 1487400 1530129 1536980 1579488 1586560 1645300 1661600 1826283 1835200 1844376 1921225 1974360 1983200 1993920 2040172 2105984 2202240 2204702 2305470 2379840 2435044 2459168 2467950 2492400 2550215 2632480 2752800 2974800 3043805 3060258 3073960 3158976 3290600 3307053 3323200 3652566 3670400 3688752 3842450 3948720 3966400 3987840 4080344 4409404 4610940 4759680 4870088 4918336 4935900 4984800 5100430 5264960 5505600 5511755 5763675 5949600 6087610 6120516 6147920 6317952 6581200 6614106 6646400 7305132 7377504 7650645 7684900 7897440 7932800 8160688 8818808 9131415 9221880 9740176 9836672 9871800 9969600 10200860 10529920 11011200 11023510 11527350 11899200 12175220 12241032 12295840 12751075 13162400 13228212 14610264 14755008 15219025 15301290 15369800 15794880 16321376 16535265 17637616 18262830 18443760 18871591 19480352 19743600 19939200 20401720 22047020 23054700 23798400 24350440 24482064 24591680 25502150 26324800 26456424 27558775 29220528 29510016 30438050 30602580 30739600 31589760 32642752 33070530 34172881 35275232 36525660 36887520 37743182 38253225 38960704 39487200 40786987 40803440 44094040 45657075 46109400 48700880 48964128 49183360 51004300 52649600 52912848 55117550 56614773 58441056 60876100 61205160 61479200 65285504 66141060 68345762 70550464 73051320 73775040 75486364 76506450 77921408 78974400 81573974 81606880 82676325 88188080 91314150 92218800 94357955 97401760 97928256 102008600 102518643 105825696 110235100 113229546 116882112 121752200 122360961 122410320 122958400 132282120 136691524 141100928 146102640 147550080 150972728 153012900 157948800 163147948 163213760 165352650 170864405 176376160 182628300 184437600 188715910 194803520 195856512 203934935 204017200 205037286 211651392 220470200 226459092 233764224 243504400 244721922 244820640 245916800 264564240 273383048 283073865 292205280 301945456 306025800 326295896 326427520 330705300 341728810 352752320 365256600 368875200 377431820 389607040 407869870 408034400 410074572 423302784 440940400 452918184 471789775 487008800 489443844 489641280 512593215 529128480 546766096 566147730 584410560 603890912 611804805 612051600 652591792 661410600 683457620 705504640 730513200 737750400 754863640 815739740 816068800 820149144 854322025 881880800 905836368 943579550 974017600 978887688 979282560 1019674675 1025186430 1058256960 1093532192 1132295460 1168821120 1207781824 1223609610 1224103200 1264396597 1305183584 1322821200 1366915240 1415369325 1461026400 1509727280 1631479480 1632137600 1640298288 1708644050 1763761600 1811672736 1887159100 1948035200 1957775376 2039349350 2050372860 2116513920 2187064384 2264590920 2415563648 2447219220 2448206400 2528793194 2562966075 2610367168 2645642400 2733830480 2830738650 2922052800 3019454560 3059024025 3262958960 3280596576 3417288100 3527523200 3623345472 3774318200 3793189791 3915550752 4078698700 4100745720 4374128768 4529181840 4894438440 4896412800 5057586388 5125932150 5220734336 5291284800 5467660960 5661477300 5844105600 6038909120 6118048050 6321982985 6525917920 6561193152 6834576200 7246690944 7548636400 7586379582 7831101504 8157397400 8201491440 9058363680 9788876880 10115172776 10251864300 10582569600 10935321920 11322954600 12077818240 12236096100 12643965970 13051835840 13122386304 13669152400 15097272800 15172759164 15662203008 16314794800 16402982880 18116727360 18965948955 19577753760 20230345552 20503728600 21870643840 22645909200 24472192200 25287931940 26103671680 27338304800 30194545600 30345518328 31609914925 32629589600 32805965760 36233454720 37931897910 39155507520 40460691104 41007457200 45291818400 48944384400 50575863880 54676609600 60389091200 60691036656 63219829850 65259179200 65611931520 75863795820 78311015040 80921382208 82014914400 90583636800 94829744775 97888768800 101151727760 109353219200 121382073312 126439659700 130518358400 151727591640 161842764416 164029828800 181167273600 189659489550 195777537600 202303455520 242764146624 252879319400 303455183280 328059657600 379318979100 391555075200 404606911040 485528293248 505758638800 606910366560 758637958200 809213822080 1011517277600 1213820733120 1517275916400 2023034555200 2427641466240 3034551832800 4046069110400 6069103665600 12138207331200
- Sum of all divisors σ(n): 43020538890240
- Sum of proper divisors (its aliquot sum) s(n): 30882331559040
- 12138207331200 is an abundant number, because the sum of its proper divisors (30882331559040) is greater than itself. Its abundance is 18744124227840
Bases of 12138207331200
- Binary: 101100001010001001011000100101000011100000002
- Hexadecimal: 0xB0A25894380
- Base-36: 4AW7R8UIO
Squares and roots of 12138207331200
- 12138207331200 squared (121382073312002) is 147336077215197426493440000
- 12138207331200 cubed (121382073312003) is 1788395852603758682318046516707328000000
-
The
square root of 12138207331200 is 3483993.0153776141 -
The
cube root of 12138207331200 is 22981.8428412725
Scales and comparisons
How big is 12138207331200?- 12,138,207,331,200 seconds is equal to 385,957 years, 23 weeks, 1 day, 18 hours, 40 minutes.
-
To count from 1 to 12,138,207,331,200 would take you about nine hundred sixty-four thousand, eight hundred 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 12138207331200 cubic inches would be around 1915.2 feet tall.
Recreational maths with 12138207331200
- 12138207331200 backwards is 00213370283121
- The number of decimal digits it has is: 14
- The sum of 12138207331200's digits is 33
- More coming soon!
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