13964206424064000
13,964,206,424,064,000 is an even composite number composed of six prime numbers multiplied together.
13964206424064000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13964206424064000:
217 × 3 × 53 × 13 × 31 × 893
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 31 × 89 × 89 × 89)See below for interesting mathematical facts about the number 13964206424064000 from the Numbermatics database.
Names of 13964206424064000
- Cardinal: 13964206424064000 can be written as Thirteen quadrillion, nine hundred sixty-four trillion, two hundred six billion, four hundred twenty-four million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.3964206424064 × 1016
Factors of 13964206424064000
Divisors of 13964206424064000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 48 50 52 60 62 64 65 75 78 80 89 93 96 100 104 120 124 125 128 130 150 155 156 160 178 186 192 195 200 208 240 248 250 256 260 267 300 310 312 320 325 356 372 375 384 390 400 403 416 445 465 480 496 500 512 520 534 600 620 624 640 650 712 744 750 768 775 780 800 806 832 890 930 960 975 992 1000 1024 1040 1068 1157 1200 1209 1240 1248 1280 1300 1335 1424 1488 1500 1536 1550 1560 1600 1612 1625 1664 1780 1860 1920 1950 1984 2000 2015 2048 2080 2136 2225 2314 2325 2400 2418 2480 2496 2560 2600 2670 2759 2848 2976 3000 3072 3100 3120 3200 3224 3250 3328 3471 3560 3720 3840 3875 3900 3968 4000 4030 4096 4160 4272 4450 4628 4650 4800 4836 4875 4960 4992 5120 5200 5340 5518 5696 5785 5952 6000 6045 6144 6200 6240 6400 6448 6500 6656 6675 6942 7120 7440 7680 7750 7800 7921 7936 8000 8060 8192 8277 8320 8544 8900 9256 9300 9600 9672 9750 9920 9984 10075 10240 10400 10680 11036 11125 11392 11570 11625 11904 12000 12090 12288 12400 12480 12800 12896 13000 13312 13350 13795 13884 14240 14880 15360 15500 15600 15842 15872 16000 16120 16384 16554 16640 17088 17355 17800 18512 18600 19200 19344 19500 19840 19968 20150 20480 20800 21360 22072 22250 22784 23140 23250 23763 23808 24000 24180 24576 24800 24960 25600 25792 26000 26624 26700 27590 27768 28480 28925 29760 30225 30720 31000 31200 31684 31744 32000 32240 32768 33108 33280 33375 34176 34710 35600 35867 37024 37200 38400 38688 39000 39605 39680 39936 40300 40960 41385 41600 42720 44144 44500 45568 46280 46500 47526 47616 48000 48360 49152 49600 49920 50375 51200 51584 52000 53248 53400 55180 55536 56960 57850 59520 60450 61440 62000 62400 63368 63488 64000 64480 65536 66216 66560 66750 68352 68975 69420 71200 71734 74048 74400 76800 77376 78000 79210 79360 79872 80600 81920 82770 83200 85440 86775 88288 89000 91136 92560 93000 95052 95232 96000 96720 98304 99200 99840 100750 102400 102973 103168 104000 106496 106800 107601 110360 111072 113920 115700 118815 119040 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5230039859200 5370848624640 5454768134400 5594633984000 5630728396800 5775106048000 5818419343360 6006110289920 6034661376000 6276047831040 6537549824000 6713560780800 6818460168000 6930127257600 6982103212032 7038410496000 7161131499520 7273024179200 7507637862400 7845059788800 8391950976000 8593357799424 8662659072000 8727629015040 8951414374400 9009165434880 9091280224000 9309470949376 9384547328000 9806324736000 10460079718400 10741697249280 10909536268800 11189267968000 11261456793600 11550212096000 11636838686720 12069322752000 13075099648000 13427121561600 13636920336000 13964206424064 14076820992000 14322262999040 14546048358400 15015275724800 15690119577600 16783901952000 17325318144000 17455258030080 17902828748800 18018330869760 18182560448000 18618941898752 18769094656000 19612649472000 21483394498560 21819072537600 22378535936000 22522913587200 23273677373440 26150199296000 26854243123200 27273840672000 27928412848128 28153641984000 29092096716800 30030551449600 31380239155200 33567803904000 34650636288000 34910516060160 35805657497600 36365120896000 37237883797504 37538189312000 39225298944000 42966788997120 43638145075200 44757071872000 45045827174400 46547354746880 52300398592000 53708486246400 54547681344000 55856825696256 56307283968000 58184193433600 67135607808000 69821032120320 71611314995200 72730241792000 75076378624000 78450597888000 87276290150400 89514143744000 90091654348800 93094709493760 107416972492800 109095362688000 111713651392512 112614567936000 116368386867200 134271215616000 139642064240640 145460483584000 150152757248000 156901195776000 174552580300800 179028287488000 186189418987520 214833944985600 218190725376000 225229135872000 232736773734400 268542431232000 279284128481280 290920967168000 349105160601600 358056574976000 436381450752000 450458271744000 465473547468800 537084862464000 558568256962560 581841934336000 698210321203200 872762901504000 930947094937600 1074169724928000 1163683868672000 1396420642406400 1745525803008000 2327367737344000 2792841284812800 3491051606016000 4654735474688000 6982103212032000 13964206424064000
- Sum of all divisors σ(n): 52249028102369280
- Sum of proper divisors (its aliquot sum) s(n): 38284821678305280
- 13964206424064000 is an abundant number, because the sum of its proper divisors (38284821678305280) is greater than itself. Its abundance is 24320615254241280
Bases of 13964206424064000
- Binary: 1100011001110001011111001010110111101000000000000000002
- Hexadecimal: 0x319C5F2B7A0000
- Base-36: 3THWBVBRFUO
Squares and roots of 13964206424064000
- 13964206424064000 squared (139642064240640002) is 194999061053870286198276096000000
- 13964206424064000 cubed (139642064240640003) is 2723007141054903600500133295805530374144000000000
-
The
square root of 13964206424064000 is 118170243.3951288771 -
The
cube root of 13964206424064000 is 240808.6520498415
Scales and comparisons
How big is 13964206424064000?- 13,964,206,424,064,000 seconds is equal to 444,018,570 years, 8 weeks, 1 day, 18 hours, 40 minutes.
-
To count from 1 to 13,964,206,424,064,000 would take you about one billion, three hundred thirty-two million, fifty-five thousand, seven hundred ten 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 13964206424064000 cubic inches would be around 20067.4 feet tall.
Recreational maths with 13964206424064000
- 13964206424064000 backwards is 00046042460246931
- The number of decimal digits it has is: 17
- The sum of 13964206424064000's digits is 51
- More coming soon!
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The information we have on file for 13964206424064000 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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