13314939456000
13,314,939,456,000 is an even composite number composed of seven prime numbers multiplied together.
13314939456000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 13314939456000:
29 × 3 × 53 × 7 × 132 × 312 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 31 × 31 × 61)See below for interesting mathematical facts about the number 13314939456000 from the Numbermatics database.
Names of 13314939456000
- Cardinal: 13314939456000 can be written as Thirteen trillion, three hundred fourteen billion, nine hundred thirty-nine million, four hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.3314939456 × 1013
Factors of 13314939456000
Divisors of 13314939456000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 31 32 35 39 40 42 48 50 52 56 60 61 62 64 65 70 75 78 80 84 91 93 96 100 104 105 112 120 122 124 125 128 130 140 150 155 156 160 168 169 175 182 183 186 192 195 200 208 210 217 224 240 244 248 250 256 260 273 280 300 305 310 312 320 325 336 338 350 364 366 372 375 384 390 400 403 416 420 427 434 448 455 465 480 488 496 500 507 512 520 525 546 560 600 610 620 624 640 650 651 672 676 700 728 732 744 750 768 775 780 793 800 806 832 840 845 854 868 875 896 910 915 930 960 961 975 976 992 1000 1014 1040 1050 1085 1092 1120 1183 1200 1209 1220 1240 1248 1280 1281 1300 1302 1344 1352 1365 1400 1456 1464 1488 1500 1525 1536 1550 1560 1586 1600 1612 1625 1664 1680 1690 1708 1736 1750 1792 1820 1830 1860 1891 1920 1922 1950 1952 1984 2000 2015 2028 2080 2100 2135 2170 2184 2240 2275 2325 2366 2379 2400 2418 2440 2480 2496 2535 2560 2562 2600 2604 2625 2688 2704 2730 2800 2821 2883 2912 2928 2976 3000 3050 3100 3120 3172 3200 3224 3250 3255 3328 3360 3380 3416 3472 3500 3549 3584 3640 3660 3720 3782 3840 3844 3875 3900 3904 3965 3968 4000 4030 4056 4160 4200 4225 4270 4340 4368 4480 4550 4575 4650 4732 4758 4800 4805 4836 4875 4880 4960 4992 5070 5124 5200 5208 5239 5250 5376 5408 5425 5460 5551 5600 5642 5673 5766 5824 5856 5915 5952 6000 6045 6100 6200 6240 6344 6400 6405 6448 6500 6510 6656 6720 6727 6760 6825 6832 6944 7000 7098 7280 7320 7440 7564 7625 7680 7688 7750 7800 7808 7930 7936 8000 8060 8112 8320 8400 8450 8463 8540 8680 8736 8960 9100 9150 9300 9455 9464 9516 9600 9610 9672 9750 9760 9920 9984 10075 10140 10248 10309 10400 10416 10478 10500 10675 10752 10816 10850 10920 11102 11200 11284 11346 11375 11532 11625 11648 11712 11830 11895 11904 12000 12090 12200 12400 12480 12493 12675 12688 12800 12810 12896 13000 13020 13237 13440 13454 13520 13650 13664 13888 14000 14105 14196 14415 14560 14640 14880 15128 15250 15376 15500 15600 15616 15717 15860 15872 16000 16120 16224 16275 16640 16653 16800 16900 16926 17080 17360 17472 17745 17920 18200 18300 18600 18910 18928 19032 19200 19220 19344 19500 19520 19825 19840 19968 20150 20181 20280 20496 20618 20800 20832 20956 21000 21125 21350 21632 21700 21840 22204 22400 22568 22692 22750 22875 23064 23250 23296 23424 23660 23790 23808 24000 24025 24180 24400 24583 24800 24960 24986 25350 25376 25620 25792 26000 26040 26195 26474 26880 26908 27040 27125 27300 27328 27755 27776 28000 28210 28365 28392 28830 29120 29280 29575 29760 30225 30256 30500 30752 30927 31000 31200 31232 31434 31720 32000 32025 32240 32448 32550 33280 33306 33600 33635 33800 33852 34125 34160 34720 34944 35490 36400 36600 36673 37200 37479 37820 37856 38064 38400 38440 38688 39000 39040 39650 39680 39711 40300 40362 40560 40992 41236 41600 41664 41912 42000 42250 42315 42700 43264 43400 43680 44408 44800 45136 45384 45500 45750 46128 46500 46592 46848 47275 47320 47580 47616 48000 48050 48360 48800 49166 49600 49920 49972 50375 50700 50752 51240 51545 51584 52000 52080 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8193808896 8259888000 8321837160 8395296000 8535217600 8590283520 8668580375 8731107840 8876626304 8948212000 9094904000 9144876000 9510671040 9754534400 9848328000 9906949000 10226528000 10242261120 10394176000 10402296450 10669022000 10737854400 10913884800 11013184000 11095782880 11255232000 11888338800 12193168000 12271833600 12680894720 12802826400 13131104000 13314939456 13422318000 13642356000 13656348160 13855296000 13869728600 14317139200 14551846400 14631801600 14860423500 15217073664 15339792000 15591264000 15757324800 15851118400 16003533000 16519776000 16643674320 16790592000 17070435200 17180567040 17337160750 17753252608 17896424000 18189808000 18289752000 19021342080 19696656000 19813898000 20453056000 20484522240 20804592900 21338044000 21475708800 21827769600 22191565760 23776677600 24386336000 25361789440 25605652800 26005741125 26262208000 26629878912 26844636000 27284712000 27739457200 28634278400 29263603200 29720847000 30679584000 31182528000 31702236800 32007066000 33039552000 33287348640 34140870400 34674321500 35506505216 35792848000 36379616000 36579504000 38042684160 39393312000 39627796000 40969044480 41609185800 42676088000 42951417600 43655539200 44383131520 47553355200 48772672000 51211305600 52011482250 53259757824 53689272000 54569424000 55478914400 59441694000 61359168000 63404473600 64014132000 66574697280 68281740800 69348643000 71585696000 72759232000 73159008000 76085368320 78786624000 79255592000 83218371600 85352176000 85902835200 88766263040 95106710400 102422611200 104022964500 106519515648 107378544000 109138848000 110957828800 118883388000 126808947200 128028264000 133149394560 138697286000 143171392000 146318016000 158511184000 166436743200 170704352000 177532526080 190213420800 204845222400 208045929000 214757088000 218277696000 221915657600 237766776000 256056528000 266298789120 277394572000 317022368000 332873486400 341408704000 380426841600 416091858000 429514176000 443831315200 475533552000 512113056000 532597578240 554789144000 634044736000 665746972800 832183716000 887662630400 951067104000 1024226112000 1109578288000 1331493945600 1664367432000 1902134208000 2219156576000 2662987891200 3328734864000 4438313152000 6657469728000 13314939456000
- Sum of all divisors σ(n): 57536340795648
- Sum of proper divisors (its aliquot sum) s(n): 44221401339648
- 13314939456000 is an abundant number, because the sum of its proper divisors (44221401339648) is greater than itself. Its abundance is 30906461883648
Bases of 13314939456000
- Binary: 110000011100001000000011110010001010000000002
- Hexadecimal: 0xC1C203C8A00
- Base-36: 4PWSR651C
Squares and roots of 13314939456000
- 13314939456000 squared (133149394560002) is 177287612716945575936000000
- 13314939456000 cubed (133149394560003) is 2360573829624906008834890530816000000000
-
The
square root of 13314939456000 is 3648964.1620602415 -
The
cube root of 13314939456000 is 23701.7128353133
Scales and comparisons
How big is 13314939456000?- 13,314,939,456,000 seconds is equal to 423,373 years, 46 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 13,314,939,456,000 would take you about one million, fifty-eight thousand, four hundred thirty-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 13314939456000 cubic inches would be around 1975.1 feet tall.
Recreational maths with 13314939456000
- 13314939456000 backwards is 00065493941331
- 13314939456000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13314939456000's digits is 48
- More coming soon!
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The information we have on file for 13314939456000 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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