13982257152000
13,982,257,152,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13982257152000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1536 divisors.
13982257152000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13982257152000:
215 × 33 × 53 × 232 × 239
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 23 × 23 × 239)See below for interesting mathematical facts about the number 13982257152000 from the Numbermatics database.
Names of 13982257152000
- Cardinal: 13982257152000 can be written as Thirteen trillion, nine hundred eighty-two billion, two hundred fifty-seven million, one hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.3982257152 × 1013
Factors of 13982257152000
Divisors of 13982257152000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 32 36 40 45 46 48 50 54 60 64 69 72 75 80 90 92 96 100 108 115 120 125 128 135 138 144 150 160 180 184 192 200 207 216 225 230 239 240 250 256 270 276 288 300 320 345 360 368 375 384 400 414 432 450 460 478 480 500 512 529 540 552 575 576 600 621 640 675 690 717 720 736 750 768 800 828 864 900 920 956 960 1000 1024 1035 1058 1080 1104 1125 1150 1152 1195 1200 1242 1280 1350 1380 1434 1440 1472 1500 1536 1587 1600 1656 1725 1728 1800 1840 1912 1920 2000 2048 2070 2116 2151 2160 2208 2250 2300 2304 2390 2400 2484 2560 2645 2700 2760 2868 2875 2880 2944 3000 3072 3105 3174 3200 3312 3375 3450 3456 3585 3600 3680 3824 3840 4000 4096 4140 4232 4302 4320 4416 4500 4600 4608 4761 4780 4800 4968 5120 5175 5290 5400 5497 5520 5736 5750 5760 5888 5975 6000 6144 6210 6348 6400 6453 6624 6750 6900 6912 7170 7200 7360 7648 7680 7935 8000 8192 8280 8464 8604 8625 8640 8832 9000 9200 9216 9522 9560 9600 9936 10240 10350 10580 10755 10800 10994 11040 11472 11500 11520 11776 11950 12000 12288 12420 12696 12800 12906 13225 13248 13500 13800 13824 14283 14340 14400 14720 15296 15360 15525 15870 16000 16384 16491 16560 16928 17208 17250 17280 17664 17925 18000 18400 18432 19044 19120 19200 19872 20480 20700 21160 21510 21600 21988 22080 22944 23000 23040 23552 23805 23900 24000 24576 24840 25392 25600 25812 25875 26450 26496 27000 27485 27600 27648 28566 28680 28800 29440 29875 30592 30720 31050 31740 32000 32265 32768 32982 33120 33856 34416 34500 34560 35328 35850 36000 36800 36864 38088 38240 38400 39675 39744 40960 41400 42320 43020 43200 43976 44160 45888 46000 46080 47104 47610 47800 48000 49152 49473 49680 50784 51200 51624 51750 52900 52992 53775 54000 54970 55200 55296 57132 57360 57600 58880 59750 61184 61440 62100 63480 64000 64530 65964 66125 66240 67712 68832 69000 69120 70656 71415 71700 72000 73600 73728 76176 76480 76800 77625 79350 79488 81920 82455 82800 84640 86040 86400 87952 88320 89625 91776 92000 92160 94208 95220 95600 96000 98304 98946 99360 101568 102400 103248 103500 105800 105984 107550 108000 109940 110400 110592 114264 114720 115200 117760 119025 119500 122368 122880 124200 126431 126960 128000 129060 131928 132250 132480 135424 137425 137664 138000 138240 141312 142830 143400 144000 147200 147456 148419 152352 152960 153600 155250 158700 158976 161325 163840 164910 165600 169280 172080 172800 175904 176640 179250 183552 184000 184320 188416 190440 191200 192000 197892 198375 198720 203136 204800 206496 207000 211600 211968 215100 216000 219880 220800 221184 228528 229440 230400 235520 238050 239000 244736 245760 247365 248400 252862 253920 256000 258120 263856 264500 264960 268875 270848 274850 275328 276000 276480 282624 285660 286800 288000 294400 294912 296838 304704 305920 307200 310500 317400 317952 322650 329820 331200 338560 344160 345600 351808 353280 357075 358500 367104 368000 368640 376832 379293 380880 382400 384000 395784 396750 397440 406272 409600 412275 412992 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1529600 1536000 1583136 1587000 1589760 1613250 1625088 1649100 1651968 1656000 1692800 1695744 1720800 1728000 1759040 1766400 1785375 1828224 1835520 1843200 1884160 1896465 1904400 1912000 1957888 1978920 1987200 2022896 2031360 2048000 2061375 2064960 2110848 2116000 2119680 2151000 2166784 2198800 2202624 2208000 2211840 2260992 2275758 2285280 2294400 2304000 2355200 2374704 2380500 2437632 2447360 2457600 2473650 2484000 2528620 2539200 2543616 2581200 2638560 2649600 2708480 2748500 2753280 2764800 2814464 2826240 2856600 2868000 2936832 2944000 2968380 3034344 3047040 3059200 3072000 3160775 3166272 3174000 3179520 3226500 3250176 3298200 3303936 3312000 3385600 3391488 3413637 3441600 3456000 3518080 3532800 3570750 3656448 3671040 3686400 3710475 3768320 3792930 3808800 3824000 3915776 3957840 3974400 4045792 4062720 4096000 4122750 4129920 4221696 4232000 4239360 4302000 4333568 4397600 4405248 4416000 4423680 4551516 4570560 4588800 4608000 4710400 4749408 4761000 4875264 4894720 4947300 4968000 5057240 5078400 5087232 5162400 5277120 5299200 5416960 5497000 5506560 5529600 5628928 5652480 5689395 5713200 5736000 5873664 5888000 5936760 6068688 6094080 6118400 6144000 6184125 6321550 6332544 6348000 6359040 6453000 6500352 6596400 6607872 6624000 6771200 6782976 6827274 6883200 6912000 7036160 7065600 7141500 7312896 7342080 7372800 7420950 7585860 7617600 7648000 7831552 7915680 7948800 8091584 8125440 8245500 8259840 8443392 8464000 8478720 8604000 8667136 8795200 8810496 8832000 9103032 9141120 9177600 9216000 9420800 9482325 9498816 9522000 9750528 9789440 9894600 9936000 10114480 10156800 10174464 10324800 10554240 10598400 10833920 10994000 11013120 11059200 11257856 11304960 11378790 11426400 11472000 11747328 11776000 11873520 12137376 12188160 12236800 12288000 12368250 12643100 12665088 12696000 12718080 12906000 13000704 13192800 13215744 13248000 13542400 13654548 13766400 13824000 14072320 14131200 14283000 14625792 14684160 14841900 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45031424 45515160 45705600 45888000 47104000 47411625 47494080 48549504 48752640 48947200 49473000 50572400 50660352 50784000 50872320 51624000 52002816 52771200 52862976 52992000 54169600 54618192 55065600 55296000 56289280 56524800 56893950 57132000 58503168 58736640 59367600 60686880 60940800 61184000 63215500 63325440 63590400 64732672 65003520 65964000 66078720 67547136 67712000 68272740 68832000 70361600 70483968 70656000 72824256 73128960 73420800 74209500 75858600 75990528 76176000 78004224 79156800 79488000 80915840 81254400 82598400 84433920 84787200 85340925 86671360 87952000 88104960 90062848 91030320 91411200 91776000 94208000 94823250 94988160 97099008 97505280 97894400 98946000 101144800 101320704 101568000 101744640 103248000 105542400 105725952 105984000 108339200 109236384 110131200 110592000 112578560 113787900 114264000 117006336 117473280 118735200 121373760 121881600 122368000 126431000 126650880 127180800 129465344 130007040 131928000 132157440 135094272 135424000 136545480 137664000 140723200 141312000 142234875 145648512 146257920 146841600 148419000 151717200 151981056 152352000 156008448 158313600 158976000 161831680 162508800 165196800 168867840 169574400 170681850 175904000 176209920 180125696 182060640 182822400 183552000 189646500 189976320 194198016 195010560 195788800 197892000 202289600 202641408 203136000 206496000 211084800 211451904 211968000 216678400 218472768 220262400 225157120 227575800 228528000 234012672 237470400 242747520 243763200 244736000 252862000 253301760 254361600 258930688 260014080 263856000 264314880 270188544 270848000 273090960 275328000 281446400 282624000 284469750 291297024 292515840 293683200 296838000 303434400 303962112 304704000 316627200 317952000 323663360 325017600 330393600 337735680 341363700 351808000 352419840 364121280 365644800 367104000 379293000 379952640 388396032 390021120 395784000 404579200 405282816 406272000 412992000 422169600 423936000 426704625 433356800 436945536 440524800 450314240 455151600 457056000 468025344 474940800 485495040 487526400 489472000 505724000 506603520 508723200 517861376 527712000 528629760 540377088 541696000 546181920 550656000 562892800 568939500 582594048 585031680 587366400 593676000 606868800 607924224 609408000 633254400 635904000 647326720 650035200 660787200 675471360 682727400 703616000 728242560 731289600 734208000 758586000 759905280 776792064 780042240 791568000 809158400 810565632 812544000 825984000 844339200 847872000 853409250 873891072 881049600 900628480 910303200 914112000 949881600 970990080 975052800 978944000 1011448000 1013207040 1035722752 1055424000 1057259520 1083392000 1092363840 1101312000 1125785600 1137879000 1165188096 1170063360 1187352000 1213737600 1215848448 1218816000 1266508800 1271808000 1294653440 1300070400 1321574400 1350942720 1365454800 1407232000 1456485120 1462579200 1468416000 1517172000 1519810560 1553584128 1583136000 1618316800 1621131264 1625088000 1651968000 1688678400 1706818500 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10132070400 10357227520 10923638400 11257856000 11651880960 11700633600 12137376000 12158484480 12428673024 12665088000 12946534400 13215744000 13509427200 13654548000 13982257152 14564851200 14625792000 15198105600 15535841280 16183168000 16886784000 17477821440 18206064000 18643009536 18997632000 19419801600 19501056000 20264140800 20714455040 21847276800 22515712000 23303761920 24274752000 24316968960 25330176000 25893068800 26431488000 27309096000 27964514304 29129702400 29251584000 30396211200 31071682560 32366336000 33773568000 34955642880 36412128000 37286019072 37995264000 38839603200 40528281600 43694553600 46607523840 48549504000 50660352000 51786137600 54618192000 55929028608 58259404800 58503168000 60792422400 62143365120 64732672000 67547136000 69911285760 72824256000 75990528000 77679206400 87389107200 93215047680 97099008000 101320704000 103572275200 109236384000 111858057216 116518809600 121584844800 129465344000 139822571520 145648512000 151981056000 155358412800 174778214400 186430095360 194198016000 202641408000 218472768000 233037619200 258930688000 279645143040 291297024000 303962112000 310716825600 349556428800 388396032000 436945536000 466075238400 517861376000 559290286080 582594048000 607924224000 699112857600 776792064000 873891072000 932150476800 1165188096000 1398225715200 1553584128000 1747782144000 2330376192000 2796451430400 3495564288000 4660752384000 6991128576000 13982257152000
- Sum of all divisors σ(n): 54274304448000
- Sum of proper divisors (its aliquot sum) s(n): 40292047296000
- 13982257152000 is an abundant number, because the sum of its proper divisors (40292047296000) is greater than itself. Its abundance is 26309790144000
Bases of 13982257152000
- Binary: 110010110111011111110111100010000000000000002
- Hexadecimal: 0xCB77F788000
- Base-36: 4YFCYWAO0
Squares and roots of 13982257152000
- 13982257152000 squared (139822571520002) is 195503515064655151104000000
- 13982257152000 cubed (139822571520003) is 2733580421753914228937544695808000000000
-
The
square root of 13982257152000 is 3739285.6472861231 -
The
cube root of 13982257152000 is 24091.2367213551
Scales and comparisons
How big is 13982257152000?- 13,982,257,152,000 seconds is equal to 444,592 years, 27 weeks, 3 days.
-
To count from 1 to 13,982,257,152,000 would take you about one million, one hundred eleven thousand, four hundred eighty-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 13982257152000 cubic inches would be around 2007.6 feet tall.
Recreational maths with 13982257152000
- 13982257152000 backwards is 00025175228931
- 13982257152000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13982257152000's digits is 45
- More coming soon!
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The information we have on file for 13982257152000 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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