137914019942400
137,914,019,942,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 137914019942400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1053 divisors.
137914019942400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-three divisors.
Prime factorization of 137914019942400:
212 × 32 × 52 × 132 × 9412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 941 × 941)See below for interesting mathematical facts about the number 137914019942400 from the Numbermatics database.
Names of 137914019942400
- Cardinal: 137914019942400 can be written as One hundred thirty-seven trillion, nine hundred fourteen billion, nineteen million, nine hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.379140199424 × 1014
Factors of 137914019942400
Divisors of 137914019942400
- Number of divisors d(n): 1053
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 128 130 144 150 156 160 169 180 192 195 200 208 225 234 240 256 260 288 300 312 320 325 338 360 384 390 400 416 450 468 480 507 512 520 576 585 600 624 640 650 676 720 768 780 800 832 845 900 936 941 960 975 1014 1024 1040 1152 1170 1200 1248 1280 1300 1352 1440 1521 1536 1560 1600 1664 1690 1800 1872 1882 1920 1950 2028 2048 2080 2304 2340 2400 2496 2535 2560 2600 2704 2823 2880 2925 3042 3072 3120 3200 3328 3380 3600 3744 3764 3840 3900 4056 4096 4160 4225 4608 4680 4705 4800 4992 5070 5120 5200 5408 5646 5760 5850 6084 6144 6240 6400 6656 6760 7200 7488 7528 7605 7680 7800 8112 8320 8450 8469 9216 9360 9410 9600 9984 10140 10240 10400 10816 11292 11520 11700 12168 12233 12288 12480 12675 12800 13312 13520 14115 14400 14976 15056 15210 15360 15600 16224 16640 16900 16938 18432 18720 18820 19200 19968 20280 20480 20800 21632 22584 23040 23400 23525 24336 24466 24960 25350 25600 26624 27040 28230 28800 29952 30112 30420 30720 31200 32448 33280 33800 33876 36699 36864 37440 37640 38025 38400 39936 40560 41600 42345 43264 45168 46080 46800 47050 48672 48932 49920 50700 51200 53248 54080 56460 57600 59904 60224 60840 61165 61440 62400 64896 66560 67600 67752 70575 73398 74880 75280 76050 76800 79872 81120 83200 84690 86528 90336 92160 93600 94100 97344 97864 99840 101400 102400 108160 110097 112920 115200 119808 120448 121680 122330 124800 129792 133120 135200 135504 141150 146796 149760 150560 152100 153600 159029 159744 162240 166400 169380 173056 180672 183495 184320 187200 188200 194688 195728 199680 202800 211725 216320 220194 225840 230400 239616 240896 243360 244660 249600 259584 266240 270400 271008 282300 293592 299520 301120 304200 305825 307200 318058 324480 332800 338760 346112 361344 366990 374400 376400 389376 391456 399360 405600 423450 432640 440388 451680 460800 477087 479232 481792 486720 489320 499200 519168 540800 542016 550485 564600 587184 599040 602240 608400 611650 636116 648960 665600 677520 692224 722688 733980 748800 752800 778752 782912 795145 798720 811200 846900 865280 880776 885481 903360 917475 921600 954174 963584 973440 978640 998400 1038336 1081600 1084032 1100970 1129200 1174368 1198080 1204480 1216800 1223300 1272232 1297920 1331200 1355040 1431261 1445376 1467960 1497600 1505600 1557504 1565824 1590290 1622400 1693800 1730560 1761552 1770962 1806720 1834950 1908348 1927168 1946880 1957280 1996800 2076672 2163200 2168064 2201940 2258400 2348736 2385435 2396160 2408960 2433600 2446600 2544464 2595840 2656443 2710080 2752425 2862522 2890752 2935920 2995200 3011200 3115008 3131648 3180580 3244800 3387600 3461120 3523104 3541924 3613440 3669900 3816696 3854336 3893760 3914560 3975725 3993600 4326400 4336128 4403880 4427405 4516800 4697472 4770870 4817920 4867200 4893200 5088928 5191680 5312886 5420160 5504850 5725044 5781504 5871840 5990400 6022400 6230016 6263296 6361160 6489600 6775200 7046208 7083848 7156305 7226880 7339800 7633392 7787520 7829120 7951450 7969329 8652800 8672256 8807760 8854810 9033600 9394944 9541740 9635840 9734400 9786400 10177856 10383360 10625772 10840320 11009700 11450088 11511253 11563008 11743680 11927175 11980800 12044800 12526592 12722320 12979200 13282215 13550400 14092416 14167696 14312610 14453760 14679600 15266784 15575040 15658240 15902900 15938658 17305600 17344512 17615520 17709620 18067200 18789888 19083480 19271680 19468800 19572800 20355712 21251544 21680640 22019400 22137025 22900176 23022506 23487360 23854350 24089600 25053184 25444640 25958400 26564430 27100800 28184832 28335392 28625220 28907520 29359200 30533568 31150080 31316480 31805800 31877316 34533759 34689024 35231040 35419240 35781525 36134400 37579776 38166960 38937600 39145600 39846645 40711424 42503088 43361280 44038800 44274050 45800352 46045012 46974720 47708700 48179200 50106368 50889280 51916800 53128860 54201600 56369664 56670784 57250440 57556265 57815040 58718400 61067136 62632960 63611600 63754632 66411075 69067518 70462080 70838480 71563050 72268800 75159552 76333920 77875200 78291200 79693290 81422848 85006176 86722560 88077600 88548100 91600704 92090024 93949440 95417400 96358400 101778560 103601277 106257720 108403200 112739328 113341568 114500880 115112530 117436800 122134272 125265920 127223200 127509264 132822150 138135036 140924160 141676960 143126100 144537600 149646289 150319104 152667840 155750400 156582400 159386580 162845696 170012352 172668795 173445120 176155200 177096200 183201408 184180048 187898880 190834800 199233225 203557120 207202554 212515440 216806400 225478656 226683136 229001760 230225060 234873600 244268544 250531840 254446400 255018528 265644300 276270072 281848320 283353920 286252200 287781325 289075200 299292578 305335680 313164800 318773160 325691392 340024704 345337590 352310400 354192400 366402816 368360096 375797760 381669600 398466450 407114240 414405108 425030880 433612800 448938867 450957312 453366272 458003520 460450120 469747200 488537088 508892800 510037056 518006385 531288600 552540144 563696640 566707840 572504400 575562650 598585156 610671360 626329600 637546320 651382784 680049408 690675180 704620800 708384800 732805632 736720192 748231445 751595520 763339200 796932900 814228480 828810216 850061760 863343975 867225600 897877734 906732544 916007040 920900240 939494400 977074176 1017785600 1020074112 1036012770 1062577200 1105080288 1127393280 1133415680 1145008800 1151125300 1197170312 1221342720 1252659200 1275092640 1346816601 1360098816 1381350360 1409241600 1416769600 1465611264 1473440384 1496462890 1526678400 1593865800 1628456960 1657620432 1700123520 1726687950 1795755468 1813465088 1832014080 1841800480 1878988800 1954148352 2035571200 2040148224 2072025540 2125154400 2210160576 2244694335 2254786560 2266831360 2290017600 2302250600 2394340624 2442685440 2550185280 2590031925 2693633202 2720197632 2762700720 2818483200 2833539200 2931222528 2946880768 2992925780 3053356800 3187731600 3256913920 3315240864 3400247040 3453375900 3591510936 3626930176 3664028160 3683600960 3741157225 3757977600 4071142400 4080296448 4144051080 4250308800 4420321152 4489388670 4533662720 4580035200 4604501200 4788681248 4885370880 5100370560 5180063850 5387266404 5440395264 5525401440 5636966400 5667078400 5862445056 5893761536 5985851560 6106713600 6375463200 6630481728 6734083005 6800494080 6906751800 7183021872 7328056320 7367201920 7482314450 8142284800 8160592896 8288102160 8500617600 8840642304 8978777340 9067325440 9160070400 9209002400 9577362496 9770741760 10200741120 10360127700 10774532808 10880790528 11050802880 11223471675 11273932800 11334156800 11787523072 11971703120 12213427200 12750926400 13260963456 13468166010 13600988160 13813503600 14366043744 14656112640 14734403840 14964628900 16284569600 16321185792 16576204320 17001235200 17681284608 17957554680 18134650880 18320140800 18418004800 19154724992 20401482240 20720255400 21549065616 22101605760 22446943350 22668313600 23575046144 23943406240 24426854400 25501852800 26521926912 26936332020 27201976320 27627007200 28732087488 29312225280 29468807680 29929257800 32642371584 33152408640 33670415025 34002470400 35362569216 35915109360 36640281600 36836009600 38309449984 40802964480 41440510800 43098131232 44203211520 44893886700 45336627200 47150092288 47886812480 48853708800 51003705600 53043853824 53872664040 54403952640 55254014400 57464174976 58937615360 59858515600 66304817280 67340830050 68004940800 70725138432 71830218720 73280563200 73672019200 76618899968 81605928960 82881021600 86196262464 88406423040 89787773400 90673254400 95773624960 102007411200 106087707648 107745328080 110508028800 114928349952 117875230720 119717031200 132609634560 134681660100 136009881600 141450276864 143660437440 146561126400 147344038400 153237799936 163211857920 165762043200 172392524928 176812846080 179575546800 191547249920 204014822400 212175415296 215490656160 221016057600 229856699904 235750461440 239434062400 265219269120 269363320200 272019763200 287320874880 294688076800 306475599872 331524086400 344785049856 353625692160 359151093600 383094499840 408029644800 424350830592 430981312320 442032115200 459713399808 478868124800 530438538240 538726640400 574641749760 589376153600 612951199744 663048172800 689570099712 707251384320 718302187200 766188999680 816059289600 861962624640 884064230400 919426799616 957736249600 1060877076480 1077453280800 1149283499520 1178752307200 1326096345600 1379140199424 1436604374400 1532377999360 1723925249280 1768128460800 1838853599232 1915472499200 2121754152960 2154906561600 2298566999040 2652192691200 2758280398848 2873208748800 3064755998720 3447850498560 3536256921600 3830944998400 4309813123200 4597133998080 5304385382400 5516560797696 5746417497600 6895700997120 7661889996800 8619626246400 9194267996160 10608770764800 11492834995200 13791401994240 15323779993600 17239252492800 22985669990400 27582803988480 34478504985600 45971339980800 68957009971200 137914019942400
- Sum of all divisors σ(n): 535468685292957
- Sum of proper divisors (its aliquot sum) s(n): 397554665350557
- 137914019942400 is an abundant number, because the sum of its proper divisors (397554665350557) is greater than itself. Its abundance is 259640645408157
Bases of 137914019942400
- Binary: 111110101101110100111000010101100010000000000002
- Hexadecimal: 0x7D6E9C2B1000
- Base-36: 1CVWTQN0G0
Squares and roots of 137914019942400
- 137914019942400 squared (1379140199424002) is 19020276896672704899317760000
- 137914019942400 cubed (1379140199424003) is 2623162847237689407690259736794497024000000
-
137914019942400 is a
perfect square number . Itssquare root is 11743680 -
The
cube root of 137914019942400 is 51665.7580529067
Scales and comparisons
How big is 137914019942400?- 137,914,019,942,400 seconds is equal to 4,385,239 years, 12 weeks, 2 days, 16 hours.
-
To count from 1 to 137,914,019,942,400 would take you about ten million, nine hundred sixty-three thousand and ninety-eight 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 137914019942400 cubic inches would be around 4305.5 feet tall.
Recreational maths with 137914019942400
- 137914019942400 backwards is 004249910419731
- The number of decimal digits it has is: 15
- The sum of 137914019942400's digits is 54
- More coming soon!
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The information we have on file for 137914019942400 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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