13138358396800
13,138,358,396,800 is an even composite number composed of seven prime numbers multiplied together.
13138358396800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13138358396800:
27 × 52 × 72 × 13 × 19 × 312 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 19 × 31 × 31 × 353)See below for interesting mathematical facts about the number 13138358396800 from the Numbermatics database.
Names of 13138358396800
- Cardinal: 13138358396800 can be written as Thirteen trillion, one hundred thirty-eight billion, three hundred fifty-eight million, three hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.31383583968 × 1013
Factors of 13138358396800
Divisors of 13138358396800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 25 26 28 31 32 35 38 40 49 50 52 56 62 64 65 70 76 80 91 95 98 100 104 112 124 128 130 133 140 152 155 160 175 182 190 196 200 208 217 224 245 247 248 260 266 280 304 310 320 325 350 353 364 380 392 400 403 416 434 448 455 475 490 494 496 520 532 560 589 608 620 637 640 650 665 700 706 728 760 775 784 800 806 832 868 896 910 931 950 961 980 988 992 1040 1064 1085 1120 1178 1216 1225 1235 1240 1274 1300 1330 1400 1412 1456 1519 1520 1550 1568 1600 1612 1664 1729 1736 1765 1820 1862 1900 1922 1960 1976 1984 2015 2080 2128 2170 2240 2275 2356 2432 2450 2470 2471 2480 2548 2600 2660 2800 2821 2824 2912 2945 3038 3040 3100 3136 3185 3200 3224 3325 3458 3472 3530 3640 3724 3800 3844 3920 3952 3968 4030 4123 4160 4256 4340 4480 4550 4589 4655 4712 4805 4900 4940 4942 4960 5096 5200 5320 5425 5600 5642 5648 5824 5890 6076 6080 6175 6200 6272 6370 6448 6650 6707 6727 6916 6944 7060 7280 7448 7595 7600 7657 7688 7840 7904 8060 8246 8320 8512 8645 8680 8825 9100 9178 9310 9424 9610 9800 9880 9884 9920 10075 10192 10400 10640 10850 10943 11200 11284 11296 11648 11780 12103 12152 12160 12350 12355 12400 12493 12740 12896 13300 13414 13454 13832 13888 14105 14120 14560 14725 14896 15190 15200 15314 15376 15680 15808 15925 16120 16492 17024 17290 17297 17360 17650 18200 18259 18356 18620 18848 19220 19600 19747 19760 19768 19840 20150 20384 20615 20800 21280 21700 21886 22400 22568 22592 22945 23275 23560 24025 24206 24304 24700 24710 24800 24986 25480 25792 26600 26828 26908 27664 27776 28210 28240 28861 29120 29450 29792 30380 30400 30628 30752 31360 31616 31850 32123 32240 32984 33535 33635 34580 34594 34720 35300 36400 36518 36712 37240 37696 37975 38285 38440 39200 39494 39520 39536 40300 40768 41230 41600 42560 43225 43400 43772 45136 45184 45890 46550 46949 47089 47120 48050 48412 48608 49400 49420 49600 49972 50960 51584 53200 53599 53656 53816 54715 55328 56420 56480 57722 58240 58900 59584 60515 60760 60800 61256 61504 61775 62465 63700 64246 64480 65968 67070 67270 69160 69188 69440 70525 70600 72800 73036 73424 74480 75392 75950 76570 76601 76880 78400 78988 79040 79072 80600 81536 82460 85120 86450 86485 86800 87191 87451 87544 90272 91295 91780 93100 93898 94178 94240 96100 96824 97216 98735 98800 98840 99200 99944 101920 103075 106400 107198 107312 107632 109430 110656 112840 112960 114725 115444 117800 119168 121030 121520 122512 123008 123550 124930 127400 127813 128492 128960 131936 134140 134540 138320 138376 138880 141050 141200 142259 144305 145600 146072 146848 148960 151900 153140 153202 153760 156800 157976 158080 158144 160615 161200 164920 167675 168175 172900 172970 173600 174382 174902 175088 180544 182590 183560 186200 187796 188356 188480 191425 192200 193648 194432 197470 197600 197680 199888 203840 206150 207917 212800 214396 214624 215264 218860 221312 224861 225680 225920 229450 230888 234745 235445 235600 237367 242060 243040 245024 247100 249860 254800 255626 256984 257920 263872 267995 268280 269080 273575 276640 276752 282100 282400 284518 288610 291200 292144 293696 297920 302575 303800 306280 306404 307520 312325 315952 316288 321230 322400 328643 329840 335350 336350 339233 345800 345940 347200 348764 349804 350176 361088 365180 367120 372400 375193 375592 376712 376960 382850 383005 384400 387296 394940 395200 395360 399776 407680 412300 415834 425600 428792 429248 430528 432425 435955 437255 437720 449722 451360 456475 458900 461776 469490 470890 471200 474734 484120 486080 490048 493675 494200 499720 509600 511252 513968 527744 535990 536207 536560 538160 547150 553280 553504 564200 564800 569036 577220 584288 587392 595840 605150 607600 610337 612157 612560 612808 615040 624650 631904 639065 642460 644800 657286 659680 670700 672700 678466 691600 691880 694400 697528 699608 700352 711295 721525 730360 734240 744800 750386 751184 753424 765700 766010 768800 774592 789880 790400 790720 799552 803075 824600 831668 857584 858496 861056 864850 871910 874510 875440 894691 899444 902720 912950 917800 923552 938980 941780 942400 949468 968240 972160 980096 987350 988400 995813 999440 1019200 1022504 1027936 1039585 1071980 1072414 1073120 1076320 1094300 1106560 1107008 1124305 1128400 1129600 1138072 1154440 1168576 1173725 1177225 1186835 1210300 1215200 1220674 1224314 1225120 1225616 1249300 1263808 1278130 1284920 1289600 1314572 1319360 1339975 1341400 1345400 1356932 1383200 1383760 1395056 1399216 1400704 1422590 1443050 1455419 1460720 1468480 1489600 1500772 1502368 1506848 1531400 1532020 1537600 1549184 1579760 1581440 1599104 1606150 1643215 1649200 1661569 1663336 1696165 1715168 1729700 1743820 1749020 1750880 1789382 1798888 1805440 1825900 1835600 1847104 1875965 1877960 1883560 1884800 1898936 1915025 1936480 1974700 1976800 1991626 1998880 2038400 2045008 2055872 2079170 2143960 2144828 2146240 2152640 2179775 2186275 2188600 2214016 2248610 2256800 2276144 2308880 2337152 2347450 2354450 2373670 2374631 2420600 2430400 2441348 2448628 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43246736 43421824 44100290 44734550 44972200 45117989 45522880 46177600 46523932 46573408 47473400 47492620 48024704 48826960 48972560 49024640 49790650 50939665 51125200 51396800 51563416 52582880 53170208 53620700 54058420 54277280 55350400 55765528 55802240 55968640 56903600 57260224 58154915 58216760 58428800 59365775 60030880 61033700 61215700 61280800 61740406 63190400 63732032 64454270 65728600 66462760 66489668 66533440 67573025 67846600 68357744 68634496 69706910 69752800 69960800 70560464 71575280 71955520 72770950 75038600 75118400 75342400 75681788 75957440 75988192 78123136 78356096 79665040 81503464 81800320 83078450 83112085 83166800 83790551 85447180 85758400 85793120 86493472 88200580 89469100 89944400 90235978 91045760 92355200 93047864 93146816 94602235 94946800 94985240 97653920 97945120 99581300 101879330 102250400 102793600 103126832 105165760 106340416 106808975 107241400 108116840 108554560 110250725 111531056 113807200 114520448 116309830 116433520 118731550 120061760 122067400 122431400 122561600 123480812 127464064 128908540 131457200 132443129 132925520 132979336 133066880 135146050 135693200 136715488 139413820 139505600 139921600 141120928 143150560 143911040 145541900 150077200 150236800 150684800 151363576 151914880 151976384 154351015 159330080 161135675 163006928 166156900 166224170 166333600 167581102 170894360 171516800 171586240 172986944 174267275 176401160 178938200 179888800 180471956 186095728 186293632 189204470 189893600 189970480 195307840 195890240 199162600 203758660 204500800 206253664 210331520 212680832 213617950 214482800 216091421 216233680 217109120 220501450 223062112 225589945 227614400 232619660 232867040 237463100 240123520 244134800 244862800 245123200 246961624 254698325 257817080 262914400 264886258 265851040 265958672 270292100 271386400 273430976 278827640 279011200 279843200 282241856 286301120 290774575 291083800 300154400 302727152 303952768 308702030 315825923 318660160 322271350 326013856 332313800 332448340 332667200 335162204 341788720 343172480 345973888 348534550 352802320 357876400 359777600 360943912 372191456 378408940 379787200 379940960 390615680 391780480 398325200 407517320 409001600 412507328 415560425 418952755 427235900 428965600 432182842 432467360 441002900 446124224 451179890 455228800 465239320 465734080 473011175 474926200 488269600 489725600 493923248 509396650 515634160 525828800 529772516 531702080 531917344 540584200 542772800 546861952 557655280 564483712 572602240 581549150 582167600 586533857 600308800 605454304 617404060 631651846 637320320 644542700 652027712 662215645 664627600 664896680 665334400 670324408 683577440 697069100 705604640 715752800 719555200 721887824 744382912 756817880 759574400 759881920 771755075 796650400 815034640 825014656 831120850 837905510 854471800 857931200 864365684 864934720 882005800 892248448 902359780 930478640 931468160 946022350 949852400 976539200 979451200 987846496 1018793300 1031268320 1051657600 1059545032 1063404160 1063834688 1080457105 1081168400 1085545600 1115310560 1127949725 1163098300 1164335200 1173067714 1200617600 1210908608 1234808120 1263303692 1289085400 1304055424 1324431290 1329255200 1329793360 1340648816 1367154880 1394138200 1411209280 1431505600 1443775648 1488765824 1513635760 1519763840 1543510150 1579129615 1593300800 1630069280 1662241700 1675811020 1708943600 1715862400 1728731368 1729869440 1764011600 1804719560 1860957280 1892044700 1899704800 1953078400 1958902400 1975692992 2037586600 2062536640 2094763775 2119090064 2127669376 2160914210 2162336800 2230621120 2255899450 2326196600 2328670400 2346135428 2421817216 2469616240 2526607384 2578170800 2648862580 2658510400 2659586720 2681297632 2734309760 2788276400 2822418560 2863011200 2887551296 2932669285 3027271520 3087020300 3158259230 3186601600 3260138560 3311078225 3324483400 3351622040 3417887200 3457462736 3528023200 3609439120 3721914560 3784089400 3799409600 3951385984 4075173200 4105736999 4125073280 4189527550 4238180128 4321828420 4324673600 4461242240 4511798900 4652393200 4657340800 4692270856 4939232480 5053214768 5156341600 5297725160 5317020800 5319173440 5362595264 5402285525 5576552800 5775102592 5865338570 6054543040 6174040600 6316518460 6520277120 6622156450 6648966800 6703244080 6835774400 6914925472 7056046400 7218878240 7443829120 7568178800 7598819200 7895648075 8150346400 8211473998 8379055100 8476360256 8643656840 8649347200 9023597800 9304786400 9384541712 9878464960 10106429536 10312683200 10595450320 10638346880 10725190528 10804571050 11153105600 11730677140 12109086080 12348081200 12633036920 13244312900 13297933600 13406488160 13671548800 13829850944 14112092800 14437756480 14663346425 15136357600 15791296150 16300692800 16422947996 16758110200 16952720512 17287313680 18047195600 18609572800 18769083424 19756929920 20212859072 20528684995 20625366400 21190900640 21609142100 22306211200 23461354280 24696162400 25266073840 26488625800 26595867200 26812976320 27659701888 28875512960 29326692850 30272715200 31582592300 32601385600 32845895992 33516220400 34574627360 36094391200 37219145600 37538166848 40425718144 41057369990 42381801280 43218284200 46922708560 49392324800 50532147680 52977251600 53191734400 53625952640 58653385700 60545430400 63165184600 65691791984 67032440800 69149254720 72188782400 75076333696 82114739980 84763602560 86436568400 93845417120 98784649600 101064295360 102643424975 105954503200 117306771400 126330369200 131383583968 134064881600 138298509440 144377564800 164229479960 172873136800 187690834240 202128590720 205286849950 211909006400 234613542800 252660738400 262767167936 268129763200 328458959920 345746273600 375381668480 410573699900 423818012800 469227085600 505321476800 525534335872 656917919840 691492547200 821147399800 938454171200 1010642953600 1313835839680 1642294799600 1876908342400 2627671679360 3284589599200 6569179198400 13138358396800
- Sum of all divisors σ(n): 44349351303600
- Sum of proper divisors (its aliquot sum) s(n): 31210992906800
- 13138358396800 is an abundant number, because the sum of its proper divisors (31210992906800) is greater than itself. Its abundance is 18072634510000
Bases of 13138358396800
- Binary: 101111110011000000110010111101100111100000002
- Hexadecimal: 0xBF3032F6780
- Base-36: 4NNOFD7R4
Squares and roots of 13138358396800
- 13138358396800 squared (131383583968002) is 172616461362765066250240000
- 13138358396800 cubed (131383583968003) is 2267896934571387179034548994015232000000
-
The
square root of 13138358396800 is 3624687.3515932377 -
The
cube root of 13138358396800 is 23596.4698329795
Scales and comparisons
How big is 13138358396800?- 13,138,358,396,800 seconds is equal to 417,759 years, 8 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,138,358,396,800 would take you about one million, forty-four thousand, three hundred ninety-seven 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 13138358396800 cubic inches would be around 1966.4 feet tall.
Recreational maths with 13138358396800
- 13138358396800 backwards is 00869385383131
- The number of decimal digits it has is: 14
- The sum of 13138358396800's digits is 58
- More coming soon!
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The information we have on file for 13138358396800 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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