12314067139200
12,314,067,139,200 is an even composite number composed of seven prime numbers multiplied together.
12314067139200 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 12314067139200:
27 × 3 × 52 × 19 × 29 × 43 × 54139
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 29 × 43 × 54139)See below for interesting mathematical facts about the number 12314067139200 from the Numbermatics database.
Names of 12314067139200
- Cardinal: 12314067139200 can be written as Twelve trillion, three hundred fourteen billion, sixty-seven million, one hundred thirty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.23140671392 × 1013
Factors of 12314067139200
Divisors of 12314067139200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 29 30 32 38 40 43 48 50 57 58 60 64 75 76 80 86 87 95 96 100 114 116 120 128 129 145 150 152 160 172 174 190 192 200 215 228 232 240 258 285 290 300 304 320 344 348 380 384 400 430 435 456 464 475 480 516 551 570 580 600 608 640 645 688 696 725 760 800 817 860 870 912 928 950 960 1032 1075 1102 1140 1160 1200 1216 1247 1290 1376 1392 1425 1450 1520 1600 1634 1653 1720 1740 1824 1856 1900 1920 2064 2150 2175 2204 2280 2320 2400 2432 2451 2494 2580 2752 2755 2784 2850 2900 3040 3200 3225 3268 3306 3440 3480 3648 3712 3741 3800 4085 4128 4300 4350 4408 4560 4640 4800 4902 4988 5160 5504 5510 5568 5700 5800 6080 6235 6450 6536 6612 6880 6960 7296 7482 7600 8170 8256 8265 8600 8700 8816 9120 9280 9600 9804 9976 10320 11020 11136 11400 11600 12160 12255 12470 12900 13072 13224 13760 13775 13920 14964 15200 16340 16512 16530 17200 17400 17632 18240 18560 18705 19608 19952 20425 20640 22040 22800 23200 23693 24510 24940 25800 26144 26448 27520 27550 27840 29928 30400 31175 32680 33060 34400 34800 35264 36480 37410 39216 39904 40850 41280 41325 44080 45600 46400 47386 49020 49880 51600 52288 52896 54139 55100 55680 59856 60800 61275 62350 65360 66120 68800 69600 70528 71079 74820 78432 79808 81700 82560 82650 88160 91200 92800 93525 94772 98040 99760 103200 104576 105792 108278 110200 118465 119712 122550 124700 130720 132240 137600 139200 142158 149640 156864 159616 162417 163400 165300 176320 182400 187050 189544 196080 199520 206400 211584 216556 220400 236930 239424 245100 249400 261440 264480 270695 278400 284316 299280 313728 324834 326800 330600 352640 355395 374100 379088 392160 399040 412800 433112 440800 473860 478848 490200 498800 522880 528960 541390 568632 592325 598560 649668 653600 661200 710790 748200 758176 784320 798080 812085 866224 881600 947720 980400 997600 1028641 1057920 1082780 1137264 1184650 1197120 1299336 1307200 1322400 1353475 1421580 1496400 1516352 1568640 1570031 1624170 1732448 1763200 1776975 1895440 1960800 1995200 2057282 2165560 2274528 2327977 2369300 2394240 2598672 2614400 2644800 2706950 2843160 2992800 3032704 3085923 3140062 3248340 3464896 3553950 3790880 3921600 3990400 4060425 4114564 4331120 4549056 4655954 4710093 4738600 5143205 5197344 5289600 5413900 5686320 5985600 6171846 6280124 6496680 6929792 6983931 7107900 7581760 7843200 7850155 8120850 8229128 8662240 9098112 9311908 9420186 9477200 10286410 10394688 10827800 11372640 11639885 11971200 12343692 12560248 12993360 13967862 14215800 15163520 15429615 15700310 16241700 16458256 17324480 18623816 18840372 18954400 20572820 20789376 21655600 22745280 23279770 23550465 24687384 25120496 25716025 25986720 27935724 28431600 29830589 30859230 31400620 32483400 32916512 34648960 34919655 37247632 37680744 37908800 39250775 41145640 43311200 44231563 45490560 46559540 47100930 49374768 50240992 51432050 51973440 55871448 56863200 58199425 59661178 61718460 62801240 64966800 65833024 67511333 69839310 74495264 75361488 75817600 77148075 78501550 82291280 86622400 88463126 89491767 93119080 94201860 98749536 100481984 102864100 103946880 111742896 113726400 116398850 117752325 119322356 123436920 125602480 129933600 131666048 132694689 135022666 139678620 148990528 149152945 150722976 154296150 157003100 164582560 173244800 174598275 176926252 178983534 186238160 188403720 197499072 200963968 202533999 205728200 221157815 223485792 227452800 232797700 235504650 238644712 246873840 251204960 259867200 265389378 270045332 279357240 297981056 298305890 301445952 308592300 314006200 329165120 337556665 349196550 353852504 357967068 372476320 376807440 394998144 405067998 411456400 442315630 446971584 447458835 465595400 471009300 477289424 493747680 502409920 519734400 530778756 540090664 558714480 596611780 602891904 617184600 628012400 658330240 663473445 675113330 698393100 707705008 715934136 744952640 745764725 753614880 810135996 822912800 884631260 893943168 894917670 931190800 942018600 954578848 987495360 1004819840 1012669995 1061557512 1080181328 1105789075 1117428960 1193223560 1234369200 1256024800 1282715327 1326946890 1350226660 1396786200 1415410016 1431868272 1489905280 1491529450 1507229760 1620271992 1645825600 1687783325 1769262520 1789835340 1862381600 1884037200 1909157696 1974990720 2025339990 2123115024 2160362656 2211578150 2234857920 2237294175 2386447120 2468738400 2512049600 2565430654 2653893780 2700453320 2793572400 2830820032 2863736544 2983058900 3014459520 3240543984 3291651200 3317367225 3375566650 3538525040 3579670680 3724763200 3768074400 3818315392 3848145981 4050679980 4246230048 4320725312 4423156300 4469715840 4474588350 4772894240 4937476800 5024099200 5063349975 5130861308 5307787560 5400906640 5587144800 5661640064 5727473088 5966117800 6413576635 6481087968 6634734450 6751133300 7077050080 7159341360 7449526400 7536148800 7696291962 8101359960 8492460096 8641450624 8846312600 8949176700 9545788480 9874953600 10126699950 10261722616 10615575120 10801813280 11174289600 11454946176 11932235600 12827153270 12962175936 13269468900 13502266600 14154100160 14318682720 15072297600 15392583924 16202719920 16984920192 17692625200 17898353400 19091576960 19240729905 20253399900 20523445232 21231150240 21603626560 22348579200 23864471200 25654306540 25924351872 26538937800 27004533200 28308200320 28637365440 30785167848 32067883175 32405439840 35385250400 35796706800 38481459810 40506799800 41046890464 42462300480 43207253120 47728942400 51308613080 53077875600 54009066400 57274730880 61570335696 64135766350 64810879680 70770500800 71593413600 76962919620 81013599600 82093780928 84924600960 95457884800 96203649525 102617226160 106155751200 108018132800 123140671392 128271532700 129621759360 141541001600 143186827200 153925839240 162027199200 164187561856 192407299050 205234452320 212311502400 216036265600 246281342784 256543065400 286373654400 307851678480 324054398400 384814598100 410468904640 424623004800 492562685568 513086130800 615703356960 648108796800 769629196200 820937809280 1026172261600 1231406713920 1539258392400 2052344523200 2462813427840 3078516784800 4104689046400 6157033569600 12314067139200
- Sum of all divisors σ(n): 45194339520000
- Sum of proper divisors (its aliquot sum) s(n): 32880272380800
- 12314067139200 is an abundant number, because the sum of its proper divisors (32880272380800) is greater than itself. Its abundance is 20566205241600
Bases of 12314067139200
- Binary: 101100110011000101111001100011111010100000002
- Hexadecimal: 0xB331798FA80
- Base-36: 4D505MUTC
Squares and roots of 12314067139200
- 12314067139200 squared (123140671392002) is 151636249508725272176640000
- 12314067139200 cubed (123140671392003) is 1867258957186926017790938681868288000000
-
The
square root of 12314067139200 is 3509140.5128891605 -
The
cube root of 12314067139200 is 23092.2990135159
Scales and comparisons
How big is 12314067139200?- 12,314,067,139,200 seconds is equal to 391,549 years, 12 weeks, 5 days, 5 hours, 20 minutes.
-
To count from 1 to 12,314,067,139,200 would take you about nine hundred seventy-eight thousand, eight hundred seventy-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 12314067139200 cubic inches would be around 1924.4 feet tall.
Recreational maths with 12314067139200
- 12314067139200 backwards is 00293176041321
- The number of decimal digits it has is: 14
- The sum of 12314067139200's digits is 39
- More coming soon!
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