13428972606950400
13,428,972,606,950,400 is an even composite number composed of six prime numbers multiplied together.
13428972606950400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 13428972606950400:
210 × 3 × 52 × 1093 × 8191 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 1093 × 8191 × 19531)See below for interesting mathematical facts about the number 13428972606950400 from the Numbermatics database.
Names of 13428972606950400
- Cardinal: 13428972606950400 can be written as Thirteen quadrillion, four hundred twenty-eight trillion, nine hundred seventy-two billion, six hundred six million, nine hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.34289726069504 × 1016
Factors of 13428972606950400
Divisors of 13428972606950400
- Number of divisors d(n): 528
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1093 1200 1280 1536 1600 1920 2186 2400 2560 3072 3200 3279 3840 4372 4800 5120 5465 6400 6558 7680 8191 8744 9600 10930 12800 13116 15360 16382 16395 17488 19200 19531 21860 24573 25600 26232 27325 32764 32790 34976 38400 39062 40955 43720 49146 52464 54650 58593 65528 65580 69952 76800 78124 81910 81975 87440 97655 98292 104928 109300 117186 122865 131056 131160 139904 156248 163820 163950 174880 195310 196584 204775 209856 218600 234372 245730 262112 262320 279808 292965 312496 327640 327900 349760 390620 393168 409550 419712 437200 468744 488275 491460 524224 524640 559616 585930 614325 624992 655280 655800 699520 781240 786336 819100 839424 874400 937488 976550 982920 1048448 1049280 1119232 1171860 1228650 1249984 1310560 1311600 1399040 1464825 1562480 1572672 1638200 1678848 1748800 1874976 1953100 1965840 2096896 2098560 2343720 2457300 2499968 2621120 2623200 2798080 2929650 3124960 3145344 3276400 3357696 3497600 3749952 3906200 3931680 4193792 4197120 4687440 4914600 4999936 5242240 5246400 5596160 5859300 6249920 6290688 6552800 6995200 7499904 7812400 7863360 8387584 8394240 8952763 9374880 9829200 9999872 10484480 10492800 11718600 12499840 12581376 13105600 13990400 14999808 15624800 15726720 16788480 17905526 18749760 19658400 19999744 20968960 20985600 21347383 23437200 24999680 25162752 26211200 26858289 27980800 29999616 31249600 31453440 35811052 37499520 39316800 41937920 41971200 42694766 44763815 46874400 49999360 52422400 53716578 59999232 62499200 62906880 64042149 71622104 74999040 78633600 83942400 85389532 89527630 93748800 99998720 104844800 106736915 107433156 124998400 125813760 128084298 134291445 143244208 149998080 157267200 159978421 170779064 179055260 187497600 209689600 213473830 214866312 223819075 249996800 256168596 268582890 286488416 299996160 314534400 319956842 320210745 341558128 358110520 374995200 426947660 429732624 447638150 479935263 499993600 512337192 533684575 537165780 572976832 629068800 639913684 640421490 671457225 683116256 716221040 749990400 799892105 853895320 859465248 895276300 959870526 1024674384 1067369150 1074331560 1145953664 1279827368 1280842980 1342914450 1366232512 1432442080 1499980800 1599784210 1601053725 1707790640 1718930496 1790552600 1919741052 2049348768 2134738300 2148663120 2291907328 2399676315 2559654736 2561685960 2685828900 2732465024 2864884160 3199568420 3202107450 3415581280 3437860992 3581105200 3839482104 3999460525 4098697536 4269476600 4297326240 4583814656 4799352630 5119309472 5123371920 5371657800 5464930048 5729768320 6399136840 6404214900 6831162560 6875721984 7162210400 7678964208 7998921050 8197395072 8538953200 8594652480 9167629312 9598705260 10238618944 10246743840 10743315600 10929860096 11459536640 11998381575 12798273680 12808429800 13662325120 13751443968 14324420800 15357928416 15997842100 16394790144 17077906400 17189304960 19197410520 20477237888 20493487680 21486631200 21859720192 22919073280 23996763150 25596547360 25616859600 27324650240 27502887936 28648841600 30715856832 31995684200 32789580288 34155812800 34378609920 38394821040 40954475776 40986975360 42973262400 45838146560 47993526300 51193094720 51233719200 54649300480 57297683200 61431713664 63991368400 65579160576 68311625600 68757219840 76789642080 81908951552 81973950720 85946524800 95987052600 102386189440 102467438400 109298600960 114595366400 122863427328 127982736800 136623251200 137514439680 153579284160 163817903104 163947901440 171893049600 174856414153 191974105200 204772378880 204934876800 229190732800 245726854656 255965473600 273246502400 307158568320 327895802880 343786099200 349712828306 383948210400 409544757760 409869753600 491453709312 511930947200 524569242459 546493004800 614317136640 687572198400 699425656612 767896420800 819089515520 819739507200 874282070765 1023861894400 1049138484918 1228634273280 1398851313224 1535792841600 1639479014400 1748564141530 2047723788800 2098276969836 2457268546560 2622846212295 2797702626448 3071585683200 3497128283060 4095447577600 4196553939672 4371410353825 5245692424590 5595405252896 6143171366400 6994256566120 8393107879344 8742820707650 10491384849180 11190810505792 12286342732800 13114231061475 13988513132240 16786215758688 17485641415300 20982769698360 22381621011584 26228462122950 27977026264480 33572431517376 34971282830600 41965539396720 44763242023168 52456924245900 55954052528960 67144863034752 69942565661200 83931078793440 89526484046336 104913848491800 111908105057920 134289726069504 139885131322400 167862157586880 179052968092672 209827696983600 223816210115840 268579452139008 279770262644800 335724315173760 419655393967200 447632420231680 537158904278016 559540525289600 671448630347520 839310787934400 895264840463360 1119081050579200 1342897260695040 1678621575868800 2238162101158400 2685794521390080 3357243151737600 4476324202316800 6714486303475200 13428972606950400
- Sum of all divisors σ(n): 44431759234039808
- Sum of proper divisors (its aliquot sum) s(n): 31002786627089408
- 13428972606950400 is an abundant number, because the sum of its proper divisors (31002786627089408) is greater than itself. Its abundance is 17573814020139008
Bases of 13428972606950400
- Binary: 1011111011010110010100010101011110111110001100000000002
- Hexadecimal: 0x2FB59455EF8C00
- Base-36: 3O868UKDP1C
Squares and roots of 13428972606950400
- 13428972606950400 squared (134289726069504002) is 180337305278224222366388060160000
- 13428972606950400 cubed (134289726069504003) is 2421744732592524865420302055991135189336064000000
-
The
square root of 13428972606950400 is 115883444.0588922089 -
The
cube root of 13428972606950400 is 237691.8345605055
Scales and comparisons
How big is 13428972606950400?- 13,428,972,606,950,400 seconds is equal to 426,999,790 years, 18 weeks, 5 days, 13 hours, 20 minutes.
-
To count from 1 to 13,428,972,606,950,400 would take you about one billion, two hundred eighty million, nine hundred ninety-nine thousand, three hundred seventy-one 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 13428972606950400 cubic inches would be around 19807.7 feet tall.
Recreational maths with 13428972606950400
- 13428972606950400 backwards is 00405960627982431
- The number of decimal digits it has is: 17
- The sum of 13428972606950400's digits is 66
- More coming soon!
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