138817972224000
138,817,972,224,000 is an even composite number composed of six prime numbers multiplied together.
138817972224000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138817972224000:
214 × 32 × 53 × 17 × 312 × 461
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 31 × 31 × 461)See below for interesting mathematical facts about the number 138817972224000 from the Numbermatics database.
Names of 138817972224000
- Cardinal: 138817972224000 can be written as One hundred thirty-eight trillion, eight hundred seventeen billion, nine hundred seventy-two million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.38817972224 × 1014
Factors of 138817972224000
Divisors of 138817972224000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 31 32 34 36 40 45 48 50 51 60 62 64 68 72 75 80 85 90 93 96 100 102 120 124 125 128 136 144 150 153 155 160 170 180 186 192 200 204 225 240 248 250 255 256 272 279 288 300 306 310 320 340 360 372 375 384 400 408 425 450 461 465 480 496 500 510 512 527 544 558 576 600 612 620 640 680 720 744 750 765 768 775 800 816 850 900 922 930 960 961 992 1000 1020 1024 1054 1088 1116 1125 1152 1200 1224 1240 1275 1280 1360 1383 1395 1440 1488 1500 1530 1536 1550 1581 1600 1632 1700 1800 1844 1860 1920 1922 1984 2000 2040 2048 2108 2125 2176 2232 2250 2304 2305 2325 2400 2448 2480 2550 2560 2635 2720 2766 2790 2880 2883 2976 3000 3060 3072 3100 3162 3200 3264 3400 3600 3688 3720 3825 3840 3844 3875 3968 4000 4080 4096 4149 4216 4250 4352 4464 4500 4608 4610 4650 4743 4800 4805 4896 4960 5100 5120 5270 5440 5532 5580 5760 5766 5952 6000 6120 6144 6200 6324 6375 6400 6528 6800 6915 6975 7200 7376 7440 7650 7680 7688 7750 7837 7905 7936 8000 8160 8192 8298 8432 8500 8649 8704 8928 9000 9216 9220 9300 9486 9600 9610 9792 9920 10200 10240 10540 10880 11064 11160 11520 11525 11532 11625 11904 12000 12240 12288 12400 12648 12750 12800 13056 13175 13600 13830 13950 14291 14400 14415 14752 14880 15300 15360 15376 15500 15674 15810 15872 16000 16320 16337 16384 16596 16864 17000 17298 17408 17856 18000 18432 18440 18600 18972 19125 19200 19220 19584 19840 20400 20480 20745 21080 21760 22128 22320 23040 23050 23064 23250 23511 23715 23808 24000 24025 24480 24576 24800 25296 25500 25600 26112 26350 27200 27660 27900 28582 28800 28830 29504 29760 30600 30720 30752 31000 31348 31620 31744 32000 32640 32674 33192 33728 34000 34575 34596 34816 34875 35712 36000 36864 36880 37200 37944 38250 38400 38440 39168 39185 39525 39680 40800 40960 41490 42160 42873 43245 43520 44256 44640 46080 46100 46128 46500 47022 47430 47616 48000 48050 48960 49011 49152 49600 50592 51000 51200 52224 52700 54400 55320 55800 57164 57600 57625 57660 59008 59520 61200 61440 61504 62000 62696 63240 63488 64000 65280 65348 65875 66384 67456 68000 69150 69192 69632 69750 70533 71424 71455 72000 72075 73728 73760 74400 75888 76500 76800 76880 78336 78370 79050 79360 81600 81685 81920 82980 84320 85746 86490 87040 88512 89280 92160 92200 92256 93000 94044 94860 95232 96000 96100 97920 98022 99200 101184 102000 102400 103725 104448 105400 108800 110640 111600 114328 115200 115250 115320 117555 118016 118575 119040 120125 122400 122880 123008 124000 125392 126480 126976 128000 128619 130560 130696 131750 132768 134912 136000 138300 138384 139264 139500 141066 142848 142910 144000 144150 147033 147456 147520 148800 151776 153000 153600 153760 156672 156740 158100 158720 163200 163370 165960 168640 171492 172875 172980 174080 177024 178560 184320 184400 184512 186000 188088 189720 190464 192000 192200 195840 195925 196044 197625 198400 202368 204000 204800 207450 208896 210800 214365 216225 217600 221280 223200 228656 230400 230500 230640 235110 236032 237150 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737600 738048 744000 752352 758880 761856 768000 768800 783360 783700 784176 790500 793600 809472 816000 816850 829800 835584 843200 857460 864900 870400 885120 886042 892800 914624 921600 922000 922560 940440 944128 948600 952320 961000 971788 979200 979625 980220 984064 992000 1003136 1011840 1024000 1028952 1037250 1044480 1045568 1054000 1062144 1071825 1079296 1081125 1088000 1106400 1107072 1116000 1128528 1142784 1143280 1152000 1153200 1175550 1176264 1180160 1185750 1190400 1214208 1214735 1224000 1225275 1228800 1230080 1253376 1253920 1264800 1269760 1286190 1305600 1306960 1327680 1329063 1349120 1371936 1383000 1383840 1392640 1410660 1416192 1428480 1429100 1441500 1457682 1470330 1475200 1476096 1488000 1504704 1517760 1523712 1536000 1537600 1566720 1567400 1568352 1581000 1587200 1618944 1632000 1633700 1659600 1686400 1714920 1729800 1740800 1763325 1770240 1772084 1785600 1786375 1829248 1843200 1844000 1845120 1880880 1888256 1897200 1904640 1922000 1943576 1958400 1959250 1960440 1968128 1984000 2006272 2023680 2042125 2048000 2057904 2074500 2088960 2091136 2108000 2124288 2143650 2158592 2162250 2176000 2186523 2212800 2214144 2215105 2232000 2257056 2285568 2286560 2304000 2306400 2351100 2352528 2360320 2371500 2380800 2428416 2429470 2448000 2450550 2460160 2506752 2507840 2529600 2539520 2572380 2611200 2613920 2655360 2658126 2698240 2743872 2766000 2767680 2821320 2832384 2856960 2858200 2883000 2915364 2938875 2940660 2950400 2952192 2976000 3009408 3035520 3072000 3075200 3133440 3134800 3136704 3162000 3174400 3215475 3237888 3264000 3267400 3319200 3372800 3429840 3459600 3481600 3526650 3540480 3544168 3571200 3572750 3644205 3658496 3675825 3686400 3688000 3690240 3761760 3776512 3794400 3809280 3844000 3887152 3916800 3918500 3920880 3936256 3968000 3987189 4012544 4047360 4084250 4115808 4149000 4177920 4182272 4216000 4248576 4287300 4317184 4324500 4352000 4373046 4425600 4428288 4430210 4464000 4514112 4571136 4573120 4608000 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28890316800 28920410880 29267968000 29853327360 30112358400 30125428000 30848438272 31097216000 31897512000 32663052288 32926464000 33458176000 33891106500 34024012800 34704493056 34984368000 35823992832 36112896000 36150513600 36292280320 37316659200 37640448000 38560547840 40828815360 42530016000 43380616320 43901952000 44779991040 45188142000 45365350400 46272657408 46645824000 48150528000 48200684800 49755545600 50187264000 51036019200 52682342400 54225770400 54438420480 55974988800 56706688000 57840821760 59706654720 60224716800 60250856000 61696876544 62194432000 63795024000 65326104576 65852928000 67782213000 68048025600 69408986112 69968736000 72225792000 72301027200 74633318400 75280896000 77121095680 81657630720 85060032000 86761232640 87803904000 89559982080 90376284000 90730700800 92545314816 93291648000 96401369600 99511091200 100374528000 102072038400 108451540800 108876840960 111949977600 113413376000 115681643520 120501712000 123393753088 124388864000 127590048000 131705856000 135564426000 136096051200 138817972224 139937472000 144451584000 144602054400 149266636800 150561792000 154242191360 163315261440 170120064000 173522465280 179119964160 180752568000 181461401600 185090629632 186583296000 192802739200 204144076800 216903081600 223899955200 226826752000 231363287040 241003424000 248777728000 255180096000 263411712000 271128852000 272192102400 277635944448 279874944000 289204108800 298533273600 301123584000 308484382720 326630522880 340240128000 347044930560 361505136000 370181259264 373166592000 385605478400 408288153600 433806163200 447799910400 453653504000 462726574080 482006848000 497555456000 510360192000 542257704000 544384204800 555271888896 559749888000 578408217600 616968765440 680480256000 694089861120 723010272000 746333184000 771210956800 816576307200 867612326400 895599820800 907307008000 925453148160 964013696000 1020720384000 1084515408000 1110543777792 1119499776000 1156816435200 1360960512000 1388179722240 1446020544000 1492666368000 1542421913600 1633152614400 1735224652800 1850906296320 1928027392000 2041440768000 2169030816000 2238999552000 2313632870400 2721921024000 2776359444480 2892041088000 3084843827200 3470449305600 3856054784000 4082881536000 4338061632000 4477999104000 4627265740800 5552718888960 5784082176000 6940898611200 7712109568000 8165763072000 8676123264000 9254531481600 11568164352000 13881797222400 15424219136000 17352246528000 23136328704000 27763594444800 34704493056000 46272657408000 69408986112000 138817972224000
- Sum of all divisors σ(n): 548742201095088
- Sum of proper divisors (its aliquot sum) s(n): 409924228871088
- 138817972224000 is an abundant number, because the sum of its proper divisors (409924228871088) is greater than itself. Its abundance is 271106256647088
Bases of 138817972224000
- Binary: 111111001000001000100111110110001000000000000002
- Hexadecimal: 0x7E4113EC4000
- Base-36: 1D7G3GHKW0
Squares and roots of 138817972224000
- 138817972224000 squared (1388179722240002) is 19270429412383235506176000000
- 138817972224000 cubed (1388179722240003) is 2675081934912768628139590548455424000000000
-
The
square root of 138817972224000 is 11782103.8963336257 -
The
cube root of 138817972224000 is 51778.3927493105
Scales and comparisons
How big is 138817972224000?- 138,817,972,224,000 seconds is equal to 4,413,982 years, 6 weeks, 3 days, 8 hours.
-
To count from 1 to 138,817,972,224,000 would take you about eleven million, thirty-four thousand, nine hundred fifty-five 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 138817972224000 cubic inches would be around 4314.9 feet tall.
Recreational maths with 138817972224000
- 138817972224000 backwards is 000422279718831
- The number of decimal digits it has is: 15
- The sum of 138817972224000's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 138817972224000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138817972224000/
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The information we have on file for 138817972224000 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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