13948648896000
13,948,648,896,000 is an even composite number composed of seven prime numbers multiplied together.
13948648896000 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 13948648896000:
29 × 3 × 53 × 72 × 132 × 31 × 283
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 31 × 283)See below for interesting mathematical facts about the number 13948648896000 from the Numbermatics database.
Names of 13948648896000
- Cardinal: 13948648896000 can be written as Thirteen trillion, nine hundred forty-eight billion, six hundred forty-eight million, eight hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.3948648896 × 1013
Factors of 13948648896000
Divisors of 13948648896000
- 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 49 50 52 56 60 62 64 65 70 75 78 80 84 91 93 96 98 100 104 105 112 120 124 125 128 130 140 147 150 155 156 160 168 169 175 182 186 192 195 196 200 208 210 217 224 240 245 248 250 256 260 273 280 283 294 300 310 312 320 325 336 338 350 364 372 375 384 390 392 400 403 416 420 434 448 455 465 480 490 496 500 507 512 520 525 546 560 566 588 600 620 624 637 640 650 651 672 676 700 728 735 744 750 768 775 780 784 800 806 832 840 845 849 868 875 896 910 930 960 975 980 992 1000 1014 1040 1050 1085 1092 1120 1132 1176 1183 1200 1209 1225 1240 1248 1274 1280 1300 1302 1344 1352 1365 1400 1415 1456 1470 1488 1500 1519 1536 1550 1560 1568 1600 1612 1625 1664 1680 1690 1698 1736 1750 1792 1820 1860 1911 1920 1950 1960 1981 1984 2000 2015 2028 2080 2100 2170 2184 2240 2264 2275 2325 2352 2366 2400 2418 2450 2480 2496 2535 2548 2560 2600 2604 2625 2688 2704 2730 2800 2821 2830 2912 2940 2976 3000 3038 3100 3120 3136 3185 3200 3224 3250 3255 3328 3360 3380 3396 3472 3500 3549 3584 3640 3675 3679 3720 3822 3840 3875 3900 3920 3962 3968 4000 4030 4056 4160 4200 4225 4245 4340 4368 4480 4528 4550 4557 4650 4704 4732 4800 4836 4875 4900 4960 4992 5070 5096 5200 5208 5239 5250 5376 5408 5425 5460 5600 5642 5660 5824 5880 5915 5943 5952 6000 6045 6076 6125 6200 6240 6272 6370 6400 6448 6500 6510 6656 6720 6760 6792 6825 6944 7000 7075 7098 7280 7350 7358 7440 7595 7644 7680 7750 7800 7840 7924 7936 8000 8060 8112 8281 8320 8400 8450 8463 8490 8680 8736 8773 8960 9056 9100 9114 9300 9408 9464 9555 9600 9672 9750 9800 9905 9920 9984 10075 10140 10192 10400 10416 10478 10500 10752 10816 10850 10920 11037 11200 11284 11320 11375 11625 11648 11760 11830 11886 11904 12000 12090 12152 12250 12400 12480 12544 12675 12740 12800 12896 13000 13020 13440 13520 13584 13650 13867 13888 14000 14105 14150 14196 14560 14700 14716 14880 15190 15288 15500 15600 15680 15717 15848 15872 15925 16000 16120 16224 16275 16562 16640 16800 16900 16926 16980 17360 17472 17546 17745 17920 18112 18200 18228 18375 18395 18600 18816 18928 19110 19200 19344 19500 19600 19747 19810 19840 19968 20150 20280 20384 20800 20832 20956 21000 21125 21225 21632 21700 21840 22074 22400 22568 22640 22750 22785 23250 23296 23520 23660 23772 23808 24000 24180 24304 24500 24800 24843 24960 25088 25350 25480 25753 25792 26000 26040 26195 26319 26880 27040 27125 27168 27300 27734 27776 28000 28210 28300 28392 29120 29400 29432 29575 29715 29760 30225 30380 30576 31000 31200 31360 31434 31696 31850 32000 32240 32448 32550 33124 33280 33600 33800 33852 33960 34125 34720 34944 35092 35375 35490 36224 36400 36456 36673 36750 36790 37200 37632 37856 37975 38220 38400 38688 39000 39200 39494 39620 39680 40300 40560 40768 41405 41600 41601 41664 41912 42000 42250 42315 42450 43264 43400 43680 43865 44148 44800 45136 45280 45500 45570 46500 46592 47040 47320 47544 47616 47775 47827 48000 48360 48608 49000 49525 49600 49686 49920 50375 50700 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8717905560 8895822000 8941441600 8999128320 9081151625 9182784000 9299099264 9374092000 9488876800 9580116000 9857702400 9963320640 10218790400 10317048000 10378459000 10713248000 10729729920 10897381950 10948704000 11176802000 11248910400 11386652160 11537344000 11623874080 11790912000 11861096000 12322128000 12454150800 12773488000 12855897600 13284427520 13412162400 13756064000 13948648896 14061138000 14233315200 14306306560 14529842600 14998547200 15328185600 15567688500 15941313024 16069872000 16429504000 16507276800 16605534400 16765203000 17306016000 17435811120 17791644000 17882883200 17998256640 18162303250 18598198528 18748184000 18977753600 19160232000 19926641280 20634096000 20756918000 21426496000 21459459840 21794763900 21897408000 22353604000 22497820800 23247748160 23722192000 24644256000 24908301600 25546976000 26568855040 26824324800 27243454875 27512128000 27897297792 28122276000 28466630400 29059685200 29997094400 30656371200 31135377000 32139744000 33211068800 33530406000 34612032000 34871622240 35583288000 35765766400 36324606500 37196397056 37496368000 38320464000 39853282560 41268192000 41513836000 42918919680 43589527800 44707208000 44995641600 46495496320 47444384000 49288512000 49816603200 51093952000 53648649600 54486909750 55794595584 56244552000 56933260800 58119370400 62270754000 64279488000 66422137600 67060812000 69743244480 71166576000 71531532800 72649213000 74992736000 76640928000 79706565120 82536384000 83027672000 87179055600 89414416000 89991283200 92990992640 94888768000 99633206400 107297299200 108973819500 111589191168 112489104000 116238740800 124541508000 132844275200 134121624000 139486488960 142333152000 145298426000 149985472000 153281856000 166055344000 174358111200 178828832000 185981985280 199266412800 214594598400 217947639000 224978208000 232477481600 249083016000 268243248000 278972977920 284666304000 290596852000 332110688000 348716222400 357657664000 398532825600 435895278000 449956416000 464954963200 498166032000 536486496000 557945955840 581193704000 664221376000 697432444800 871790556000 929909926400 996332064000 1072972992000 1162387408000 1394864889600 1743581112000 1992664128000 2324774816000 2789729779200 3487162224000 4649549632000 6974324448000 13948648896000
- Sum of all divisors σ(n): 60513808582656
- Sum of proper divisors (its aliquot sum) s(n): 46565159686656
- 13948648896000 is an abundant number, because the sum of its proper divisors (46565159686656) is greater than itself. Its abundance is 32616510790656
Bases of 13948648896000
- Binary: 110010101111101011000100001100110110000000002
- Hexadecimal: 0xCAFAC433600
- Base-36: 4XZX5EQDC
Squares and roots of 13948648896000
- 13948648896000 squared (139486488960002) is 194564806023882018816000000
- 13948648896000 cubed (139486488960003) is 2713916166745476071392049627136000000000
-
The
square root of 13948648896000 is 3734789.0028755305 -
The
cube root of 13948648896000 is 24071.9190479449
Scales and comparisons
How big is 13948648896000?- 13,948,648,896,000 seconds is equal to 443,523 years, 46 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 13,948,648,896,000 would take you about one million, one hundred eight thousand, eight hundred nine 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 13948648896000 cubic inches would be around 2006 feet tall.
Recreational maths with 13948648896000
- 13948648896000 backwards is 00069884684931
- The number of decimal digits it has is: 14
- The sum of 13948648896000's digits is 66
- More coming soon!
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The information we have on file for 13948648896000 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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