13385739054782400
13,385,739,054,782,400 is an even composite number composed of six prime numbers multiplied together.
13385739054782400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 13385739054782400:
26 × 3 × 52 × 17 × 29 × 5656583441
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 29 × 5656583441)See below for interesting mathematical facts about the number 13385739054782400 from the Numbermatics database.
Names of 13385739054782400
- Cardinal: 13385739054782400 can be written as Thirteen quadrillion, three hundred eighty-five trillion, seven hundred thirty-nine billion, fifty-four million, seven hundred eighty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.33857390547824 × 1016
Factors of 13385739054782400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 5656583497
Divisors of 13385739054782400
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 29 30 32 34 40 48 50 51 58 60 64 68 75 80 85 87 96 100 102 116 120 136 145 150 160 170 174 192 200 204 232 240 255 272 290 300 320 340 348 400 408 425 435 464 480 493 510 544 580 600 680 696 725 800 816 850 870 928 960 986 1020 1088 1160 1200 1275 1360 1392 1450 1479 1600 1632 1700 1740 1856 1972 2040 2175 2320 2400 2465 2550 2720 2784 2900 2958 3264 3400 3480 3944 4080 4350 4640 4800 4930 5100 5440 5568 5800 5916 6800 6960 7395 7888 8160 8700 9280 9860 10200 11600 11832 12325 13600 13920 14790 15776 16320 17400 19720 20400 23200 23664 24650 27200 27840 29580 31552 34800 36975 39440 40800 46400 47328 49300 59160 69600 73950 78880 81600 94656 98600 118320 139200 147900 157760 197200 236640 295800 394400 473280 591600 788800 1183200 2366400 5656583441 11313166882 16969750323 22626333764 28282917205 33939500646 45252667528 56565834410 67879001292 84848751615 90505335056 96161918497 113131668820 135758002584 141414586025 164040919789 169697503230 181010670112 192323836994 226263337640 271516005168 282829172050 288485755491 328081839578 339395006460 362021340224 384647673988 424243758075 452526675280 480809592485 492122759367 543032010336 565658344100 576971510982 656163679156 678790012920 769295347976 820204598945 848487516150 905053350560 961619184970 984245518734 1086064020672 1131316688200 1153943021964 1312327358312 1357580025840 1442428777455 1538590695952 1640409197890 1696975032300 1810106701120 1923238369940 1968491037468 2262633376400 2307886043928 2404047962425 2460613796835 2624654716624 2715160051680 2788695636413 2884857554910 3077181391904 3280818395780 3393950064600 3846476739880 3936982074936 4101022994725 4525266752800 4615772087856 4808095924850 4921227593670 5249309433248 5430320103360 5577391272826 5769715109820 6154362783808 6561636791560 6787900129200 7212143887275 7692953479760 7873964149872 8202045989450 8366086909239 9050533505600 9231544175712 9616191849700 9842455187340 10498618866496 11154782545652 11539430219640 12303068984175 13123273583120 13575800258400 13943478182065 14424287774550 15385906959520 15747928299744 16404091978900 16732173818478 18463088351424 19232383699400 19684910374680 22309565091304 23078860439280 24606137968350 26246547166240 27151600516800 27886956364130 28848575549100 30771813919040 31495856599488 32808183957800 33464347636956 38464767398800 39369820749360 41830434546195 44619130182608 46157720878560 49212275936700 52493094332480 55773912728260 57697151098200 65616367915600 66928695273912 69717390910325 76929534797600 78739641498720 83660869092390 89238260365216 92315441757120 98424551873400 111547825456520 115394302196400 131232735831200 133857390547824 139434781820650 153859069595200 157479282997440 167321738184780 178476520730432 196849103746800 209152172730975 223095650913040 230788604392800 262465471662400 267714781095648 278869563641300 334643476369560 393698207493600 418304345461950 446191301826080 461577208785600 535429562191296 557739127282600 669286952739120 787396414987200 836608690923900 892382603652160 1115478254565200 1338573905478240 1673217381847800 2230956509130400 2677147810956480 3346434763695600 4461913018260800 6692869527391200 13385739054782400
- Sum of all divisors σ(n): 48103133064092640
- Sum of proper divisors (its aliquot sum) s(n): 34717394009310240
- 13385739054782400 is an abundant number, because the sum of its proper divisors (34717394009310240) is greater than itself. Its abundance is 21331654954527840
Bases of 13385739054782400
- Binary: 1011111000111001000010001111010110101010010111110000002
- Hexadecimal: 0x2F8E423D6A97C0
- Base-36: 3NSUJMNOD6O
Squares and roots of 13385739054782400
- 13385739054782400 squared (133857390547824002) is 179178010042726819388311349760000
- 13385739054782400 cubed (133857390547824003) is 2398430086787121469996753089083300327092224000000
-
The
square root of 13385739054782400 is 115696754.7288272041 -
The
cube root of 13385739054782400 is 237436.4834308315
Scales and comparisons
How big is 13385739054782400?- 13,385,739,054,782,400 seconds is equal to 425,625,097 years, 6 weeks, 6 days, 6 hours, 40 minutes.
-
To count from 1 to 13,385,739,054,782,400 would take you about one billion, two hundred seventy-six million, eight hundred seventy-five thousand, two hundred ninety-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 13385739054782400 cubic inches would be around 19786.4 feet tall.
Recreational maths with 13385739054782400
- 13385739054782400 backwards is 00428745093758331
- The number of decimal digits it has is: 17
- The sum of 13385739054782400's digits is 69
- More coming soon!
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