13428342516326400
13,428,342,516,326,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 13428342516326400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2520 divisors.
13428342516326400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 13428342516326400:
213 × 34 × 52 × 133 × 6072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 607 × 607)See below for interesting mathematical facts about the number 13428342516326400 from the Numbermatics database.
Names of 13428342516326400
- Cardinal: 13428342516326400 can be written as Thirteen quadrillion, four hundred twenty-eight trillion, three hundred forty-two billion, five hundred sixteen million, three hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.34283425163264 × 1016
Factors of 13428342516326400
Divisors of 13428342516326400
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 104 108 117 120 128 130 135 144 150 156 160 162 169 180 192 195 200 208 216 225 234 240 256 260 270 288 300 312 320 324 325 338 351 360 384 390 400 405 416 432 450 468 480 507 512 520 540 576 585 600 607 624 640 648 650 675 676 702 720 768 780 800 810 832 845 864 900 936 960 975 1014 1024 1040 1053 1080 1152 1170 1200 1214 1248 1280 1296 1300 1350 1352 1404 1440 1521 1536 1560 1600 1620 1664 1690 1728 1755 1800 1821 1872 1920 1950 2025 2028 2048 2080 2106 2160 2197 2304 2340 2400 2428 2496 2535 2560 2592 2600 2700 2704 2808 2880 2925 3035 3042 3072 3120 3200 3240 3328 3380 3456 3510 3600 3642 3744 3840 3900 4050 4056 4096 4160 4212 4225 4320 4394 4563 4608 4680 4800 4856 4992 5070 5120 5184 5200 5265 5400 5408 5463 5616 5760 5850 6070 6084 6144 6240 6400 6480 6591 6656 6760 6912 7020 7200 7284 7488 7605 7680 7800 7891 8100 8112 8192 8320 8424 8450 8640 8775 8788 9105 9126 9216 9360 9600 9712 9984 10140 10240 10368 10400 10530 10800 10816 10926 10985 11232 11520 11700 12140 12168 12288 12480 12675 12800 12960 13182 13312 13520 13689 13824 14040 14400 14568 14976 15175 15210 15360 15600 15782 16200 16224 16389 16640 16848 16900 17280 17550 17576 18210 18252 18432 18720 19200 19424 19773 19968 20280 20480 20736 20800 21060 21600 21632 21852 21970 22464 22815 23040 23400 23673 24280 24336 24576 24960 25350 25600 25920 26325 26364 26624 27040 27315 27378 27648 28080 28800 29136 29952 30350 30420 30720 31200 31564 32400 32448 32778 32955 33280 33696 33800 34560 35100 35152 36420 36504 36864 37440 38025 38400 38848 39455 39546 39936 40560 40960 41472 41600 42120 43200 43264 43704 43940 44928 45525 45630 46080 46800 47346 48560 48672 49167 49920 50700 51200 51840 52650 52728 53248 54080 54630 54756 54925 55296 56160 57600 58272 59319 59904 60700 60840 61440 62400 63128 64800 64896 65556 65910 66560 67392 67600 68445 69120 70200 70304 71019 72840 73008 73728 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679125196800 691327353600 699392839392 717325989120 728534207700 735718963200 737415843840 764015846400 765147721728 777103154880 794576480256 797028876800 806991737760 819350937600 827683833600 828910031872 850864435200 860791186944 874241049240 882862755840 884899012608 896657486400 921769804800 932523785856 956434652160 971378943600 980958617600 993220600320 1008739672200 1018687795200 1036137539840 1049089259088 1059435307008 1075988983680 1092801311550 1103578444800 1106123765760 1147721582592 1165654732320 1195543315200 1222425354240 1229026406400 1241525750400 1243365047808 1275246202880 1291186780416 1295171924800 1311361573860 1324294133760 1344986229600 1382654707200 1398785678784 1434651978240 1457068415400 1471437926400 1474831687680 1528031692800 1530295443456 1554206309760 1589152960512 1594057753600 1613983475520 1639201967325 1655367667200 1657820063744 1701728870400 1721582373888 1748482098480 1765725511680 1793314972800 1843539609600 1865047571712 1912869304320 1942757887200 1986441200640 2017479344400 2037375590400 2072275079680 2098178518176 2151977967360 2185602623100 2207156889600 2212247531520 2295443165184 2331309464640 2391086630400 2458052812800 2483051500800 2486730095616 2550492405760 2582373560832 2590343849600 2622723147720 2648588267520 2689972459200 2765309414400 2797571357568 2869303956480 2914136830800 2942875852800 3056063385600 3108412619520 3178305921024 3188115507200 3227966951040 3278403934650 3310735334400 3315640127488 3443164747776 3496964196960 3586629945600 3687079219200 3730095143424 3825738608640 3885515774400 3972882401280 4034958688800 4144550159360 4196357036352 4303955934720 4371205246200 4414313779200 4424495063040 4590886330368 4662618929280 4782173260800 4966103001600 4973460191232 5164747121664 5180687699200 5245446295440 5297176535040 5379944918400 5530618828800 5595142715136 5738607912960 5828273661600 6112126771200 6216825239040 6376231014400 6455933902080 6556807869300 6621470668800 6631280254976 6886329495552 6993928393920 7173259891200 7374158438400 7460190286848 7651477217280 7771031548800 7945764802560 8069917377600 8289100318720 8392714072704 8607911869440 8742410492400 8828627558400 9325237858560 9564346521600 9932206003200 9946920382464 10329494243328 10361375398400 10490892590880 10759889836800 11061237657600 11190285430272 11477215825920 11656547323200 12433650478080 12752462028800 12911867804160 13113615738600 13242941337600 13772658991104 13987856787840 14346519782400 14920380573696 15542063097600 15891529605120 16139834755200 16578200637440 16785428145408 17215823738880 17484820984800 18650475717120 19128693043200 19864412006400 19893840764928 20658988486656 20722750796800 20981785181760 21519779673600 22122475315200 22380570860544 22954431651840 23313094646400 24867300956160 25823735608320 26227231477200 26485882675200 27975713575680 28693039564800 29840761147392 31084126195200 32279669510400 33156401274880 33570856290816 34431647477760 34969641969600 37300951434240 38257386086400 39728824012800 41317976973312 41445501593600 41963570363520 43039559347200 44761141721088 46626189292800 49734601912320 51647471216640 52454462954400 55951427151360 57386079129600 59681522294784 62168252390400 64559339020800 67141712581632 68863294955520 69939283939200 74601902868480 79457648025600 82891003187200 83927140727040 86079118694400 89522283442176 93252378585600 99469203824640 103294942433280 104908925908800 111902854302720 114772158259200 124336504780800 129118678041600 134283425163264 139878567878400 149203805736960 165782006374400 167854281454080 172158237388800 179044566884352 186504757171200 206589884866560 209817851817600 223805708605440 248673009561600 258237356083200 268566850326528 279757135756800 298407611473920 335708562908160 344316474777600 373009514342400 419635703635200 447611417210880 497346019123200 516474712166400 537133700653056 559514271513600 671417125816320 746019028684800 839271407270400 895222834421760 1032949424332800 1119028543027200 1342834251632640 1492038057369600 1678542814540800 2238057086054400 2685668503265280 3357085629081600 4476114172108800 6714171258163200 13428342516326400
- Sum of all divisors σ(n): 53977268017452780
- Sum of proper divisors (its aliquot sum) s(n): 40548925501126380
- 13428342516326400 is an abundant number, because the sum of its proper divisors (40548925501126380) is greater than itself. Its abundance is 27120582984799980
Bases of 13428342516326400
- Binary: 1011111011010100000001101000011001101110100000000000002
- Hexadecimal: 0x2FB501A19BA000
- Base-36: 3O7Y7E0OW00
Squares and roots of 13428342516326400
- 13428342516326400 squared (134283425163264002) is 180320382735779232250551336960000
- 13428342516326400 cubed (134283425163264003) is 2421403862051113231744875223947190147743744000000
-
The
square root of 13428342516326400 is 115880725.3874707155 -
The
cube root of 13428342516326400 is 237688.1169830165
Scales and comparisons
How big is 13428342516326400?- 13,428,342,516,326,400 seconds is equal to 426,979,755 years, 22 weeks, 2 days.
-
To count from 1 to 13,428,342,516,326,400 would take you about one billion, two hundred eighty million, nine hundred thirty-nine thousand, two hundred sixty-six 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 13428342516326400 cubic inches would be around 19807.3 feet tall.
Recreational maths with 13428342516326400
- 13428342516326400 backwards is 00462361524382431
- 13428342516326400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13428342516326400's digits is 54
- More coming soon!
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"Number 13428342516326400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 13428342516326400 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13428342516326400/
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The information we have on file for 13428342516326400 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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