13138318950400
13,138,318,950,400 is an even composite number composed of six prime numbers multiplied together.
13138318950400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13138318950400:
215 × 52 × 7 × 17 × 307 × 439
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 17 × 307 × 439)See below for interesting mathematical facts about the number 13138318950400 from the Numbermatics database.
Names of 13138318950400
- Cardinal: 13138318950400 can be written as Thirteen trillion, one hundred thirty-eight billion, three hundred eighteen million, nine hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.31383189504 × 1013
Factors of 13138318950400
Divisors of 13138318950400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 64 68 70 80 85 100 112 119 128 136 140 160 170 175 200 224 238 256 272 280 307 320 340 350 400 425 439 448 476 512 544 560 595 614 640 680 700 800 850 878 896 952 1024 1088 1120 1190 1228 1280 1360 1400 1535 1600 1700 1756 1792 1904 2048 2149 2176 2195 2240 2380 2456 2560 2720 2800 2975 3070 3073 3200 3400 3512 3584 3808 4096 4298 4352 4390 4480 4760 4912 5120 5219 5440 5600 5950 6140 6146 6400 6800 7024 7168 7463 7616 7675 8192 8596 8704 8780 8960 9520 9824 10240 10438 10745 10880 10975 11200 11900 12280 12292 12800 13600 14048 14336 14926 15232 15350 15365 16384 17192 17408 17560 17920 19040 19648 20480 20876 21490 21760 21950 22400 23800 24560 24584 25600 26095 27200 28096 28672 29852 30464 30700 30730 32768 34384 34816 35120 35840 36533 37315 38080 39296 40960 41752 42980 43520 43900 44800 47600 49120 49168 51200 52190 52241 53725 54400 56192 57344 59704 60928 61400 61460 68768 69632 70240 71680 73066 74630 76160 76825 78592 81920 83504 85960 87040 87800 89600 95200 98240 98336 102400 104380 104482 107450 108800 112384 114688 119408 121856 122800 122920 130475 134773 137536 139264 140480 143360 146132 149260 152320 153650 157184 163840 167008 171920 174080 175600 179200 182665 186575 190400 196480 196672 204800 208760 208964 214900 217600 224768 229376 238816 243712 245600 245840 260950 261205 269546 275072 278528 280960 286720 292264 298520 304640 307300 314368 334016 343840 348160 351200 358400 365330 373150 380800 392960 393344 409600 417520 417928 429800 435200 449536 477632 487424 491200 491680 521900 522410 539092 550144 557056 561920 573440 584528 597040 609280 614600 628736 668032 673865 687680 696320 702400 716800 730660 746300 761600 785920 786688 819200 835040 835856 859600 870400 899072 913325 943411 955264 974848 982400 983360 1043800 1044820 1078184 1100288 1123840 1146880 1169056 1194080 1218560 1229200 1257472 1306025 1336064 1347730 1375360 1392640 1404800 1433600 1461320 1492600 1523200 1571840 1573376 1670080 1671712 1719200 1740800 1798144 1826650 1886822 1910528 1949696 1964800 1966720 2087600 2089640 2156368 2200576 2247680 2291141 2338112 2388160 2437120 2458400 2514944 2612050 2672128 2695460 2750720 2785280 2809600 2867200 2922640 2985200 3046400 3143680 3146752 3340160 3343424 3369325 3438400 3481600 3596288 3653300 3773644 3821056 3899392 3929600 3933440 4175200 4179280 4312736 4401152 4495360 4582282 4676224 4717055 4776320 4874240 4916800 5029888 5224100 5344256 5390920 5501440 5619200 5734400 5845280 5970400 6092800 6287360 6293504 6680320 6686848 6738650 6876800 6963200 7192576 7306600 7547288 7642112 7859200 7866880 8350400 8358560 8625472 8802304 8990720 9164564 9352448 9434110 9552640 9748480 9833600 10059776 10448200 10688512 10781840 11002880 11238400 11455705 11690560 11940800 12185600 12574720 12587008 13360640 13373696 13477300 13753600 13926400 14385152 14613200 15094576 15284224 15718400 15733760 16037987 16700800 16717120 17250944 17604608 17981440 18329128 18704896 18868220 19105280 19496960 19667200 20896400 21377024 21563680 22005760 22476800 22911410 23381120 23585275 23881600 24371200 25149440 25174016 26721280 26747392 26954600 27507200 29226400 30189152 30568448 31436800 31467520 32075974 33401600 33434240 34501888 35209216 35962880 36658256 37409792 37736440 38210560 39334400 41792800 42754048 43127360 44011520 44953600 45822820 46762240 47170550 47763200 48742400 50298880 50348032 53442560 53494784 53909200 55014400 57278525 58452800 60378304 61136896 62873600 62935040 64151948 66803200 66868480 69003776 70418432 71925760 73316512 74819584 75472880 76421120 78668800 80189935 83585600 85508096 86254720 88023040 89907200 91645640 93524480 94341100 95526400 97484800 100696064 106885120 106989568 107818400 110028800 114557050 116905600 120756608 122273792 125747200 125870080 128303896 133606400 133736960 138007552 146633024 149639168 150945760 152842240 157337600 160379870 167171200 171016192 172509440 176046080 179814400 183291280 187048960 188682200 191052800 213770240 213979136 215636800 220057600 229114100 233811200 241513216 244547584 251494400 251740160 256607792 267212800 267473920 276015104 293266048 299278336 301891520 305684480 314675200 320759740 334342400 345018880 352092160 359628800 366582560 374097920 377364400 382105600 400949675 427540480 427958272 431273600 440115200 458228200 467622400 483026432 503480320 513215584 534425600 534947840 552030208 586532096 598556672 603783040 611368960 629350400 641519480 668684800 690037760 733165120 748195840 754728800 764211200 801899350 855080960 855916544 862547200 880230400 916456400 935244800 966052864 1026431168 1068851200 1069895680 1104060416 1173064192 1197113344 1207566080 1222737920 1258700800 1283038960 1337369600 1380075520 1466330240 1496391680 1509457600 1528422400 1603798700 1711833088 1725094400 1760460800 1832912800 1870489600 1932105728 2052862336 2137702400 2139791360 2208120832 2346128384 2415132160 2517401600 2566077920 2674739200 2760151040 2932660480 2992783360 3018915200 3056844800 3207597400 3450188800 3665825600 3740979200 3864211456 4105724672 4275404800 4279582720 4416241664 4692256768 4830264320 5132155840 5349478400 5520302080 5865320960 5985566720 6037830400 6113689600 6415194800 6900377600 7331651200 7481958400 7728422912 8211449344 8559165440 9384513536 9660528640 10264311680 10698956800 11040604160 11730641920 12075660800 12830389600 13800755200 14663302400 14963916800 15456845824 16422898688 18769027072 19321057280 20528623360 21397913600 22081208320 23461283840 24151321600 25660779200 27601510400 29326604800 29927833600 30913691648 32845797376 37538054144 38642114560 41057246720 42795827200 46922567680 48302643200 51321558400 55203020800 58653209600 65691594752 75076108288 77284229120 82114493440 93845135360 96605286400 102643116800 110406041600 117306419200 131383189504 154568458240 164228986880 187690270720 193210572800 205286233600 234612838400 262766379008 328457973760 375380541440 386421145600 410572467200 469225676800 525532758016 656915947520 772842291200 821144934400 938451353600 1313831895040 1642289868800 1876902707200 2627663790080 3284579737600 6569159475200 13138318950400
- Sum of all divisors σ(n): 39646137484800
- Sum of proper divisors (its aliquot sum) s(n): 26507818534400
- 13138318950400 is an abundant number, because the sum of its proper divisors (26507818534400) is greater than itself. Its abundance is 13369499584000
Bases of 13138318950400
- Binary: 101111110011000000001101010110000000000000002
- Hexadecimal: 0xBF300D58000
- Base-36: 4NNNRVQPS
Squares and roots of 13138318950400
- 13138318950400 squared (131383189504002) is 172615424842439757660160000
- 13138318950400 cubed (131383189504003) is 2267876507338773202236863691096064000000
-
The
square root of 13138318950400 is 3624681.9102370901 -
The
cube root of 13138318950400 is 23596.4462177329
Scales and comparisons
How big is 13138318950400?- 13,138,318,950,400 seconds is equal to 417,757 years, 46 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,138,318,950,400 would take you about one million, forty-four thousand, three hundred ninety-four 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 13138318950400 cubic inches would be around 1966.4 feet tall.
Recreational maths with 13138318950400
- 13138318950400 backwards is 00405981383131
- The number of decimal digits it has is: 14
- The sum of 13138318950400's digits is 46
- More coming soon!
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The information we have on file for 13138318950400 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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