138386304000

Names of 138386304000

• Cardinal: 138386304000 can be written as One hundred thirty-eight billion, three hundred eighty-six million, three hundred four thousand.

Scientific notation

• Scientific notation: 1.38386304 × 10¹¹

Factors of 138386304000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 148

Divisors of 138386304000

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 125 126 128 131 140 144 150 160 168 175 180 192 200 210 224 225 240 250 252 256 262 280 288 300 315 320 336 350 360 375 384 393 400 420 448 450 480 500 504 512 524 525 560 576 600 630 640 655 672 700 720 750 768 786 800 840 875 896 900 917 960 1000 1008 1024 1048 1050 1120 1125 1152 1179 1200 1260 1280 1310 1344 1400 1440 1500 1536 1572 1575 1600 1680 1750 1792 1800 1834 1920 1965 2000 2016 2096 2100 2240 2250 2304 2358 2400 2520 2560 2620 2625 2688 2751 2800 2880 3000 3072 3144 3150 3200 3275 3360 3500 3584 3600 3668 3840 3930 4000 4032 4192 4200 4480 4500 4585 4608 4716 4800 5040 5120 5240 5250 5376 5502 5600 5760 5895 6000 6288 6300 6400 6550 6720 7000 7168 7200 7336 7680 7860 7875 8000 8064 8253 8384 8400 8960 9000 9170 9216 9432 9600 9825 10080 10480 10500 10752 11004 11200 11520 11790 12000 12576 12600 12800 13100 13440 13755 14000 14400 14672 15360 15720 15750 16000 16128 16375 16506 16768 16800 17161 17920 18000 18340 18864 19200 19650 20160 20960 21000 21504 22008 22400 22925 23040 23580 24000 25152 25200 25600 26200 26880 27510 28000 28800 29344 29475 31440 31500 32000 32256 32750 33012 33536 33600 34322 35840 36000 36680 37728 38400 39300 40320 41265 41920 42000 44016 44800 45850 46080 47160 48000 49125 50304 50400 51483 52400 53760 55020 56000 57600 58688 58950 62880 63000 64000 64512 65500 66024 67072 67200 68644 68775 72000 73360 75456 76800 78600 80640 82530 83840 84000 85805 88032 89600 91700 94320 96000 98250 100608 100800 102966 104800 107520 110040 112000 114625 115200 117376 117900 120127 125760 126000 128000 131000 132048 134144 134400 137288 137550 144000 146720 147375 150912 154449 157200 161280 165060 167680 168000 171610 176064 179200 183400 188640 192000 196500 201216 201600 205932 206325 209600 220080 224000 229250 230400 234752 235800 240254 251520 252000 257415 262000 264096 268800 274576 275100 288000 293440 294750 301824 308898 314400 322560 330120 335360 336000 343220 343875 352128 360381 366800 377280 384000 393000 402432 403200 411864 412650 419200 429025 440160 448000 458500 469504 471600 480508 503040 504000 514830 524000 528192 537600 549152 550200 576000 586880 589500 600635 603648 617796 628800 660240 670720 672000 686440 687750 704256 720762 733600 754560 772245 786000 806400 823728 825300 838400 858050 880320 896000 917000 939008 943200 961016 1006080 1008000 1029660 1031625 1048000 1056384 1081143 1098304 1100400 1152000 1173760 1179000 1201270 1207296 1235592 1257600 1287075 1320480 1344000 1372880 1375500 1408512 1441524 1467200 1509120 1544490 1572000 1612800 1647456 1650600 1676800 1716100 1760640 1801905 1834000 1886400 1922032 2012160 2016000 2059320 2063250 2096000 2112768 2145125 2162286 2196608 2200800 2347520 2358000 2402540 2471184 2515200 2574150 2640960 2688000 2745760 2751000 2817024 2883048 2934400 3003175 3018240 3088980 3144000 3294912 3301200 3353600 3432200 3521280 3603810 3668000 3772800 3844064 3861225 4032000 4118640 4126500 4192000 4225536 4290250 4324572 4393216 4401600 4695040 4716000 4805080 4942368 5030400 5148300 5281920 5405715 5491520 5502000 5766096 5868800 6006350 6036480 6177960 6288000 6435375 6589824 6602400 6864400 7042560 7207620 7336000 7545600 7688128 7722450 8064000 8237280 8253000 8384000 8451072 8580500 8649144 8786432 8803200 9009525 9432000 9610160 9884736 10060800 10296600 10563840 10811430 10983040 11004000 11532192 11737600 12012700 12355920 12576000 12870750 13179648 13204800 13728800 14085120 14415240 14672000 15015875 15091200 15376256 15444900 16474560 16506000 16768000 17161000 17298288 17572864 17606400 18019050 18864000 19220320 19306125 19769472 20593200 21127680 21622860 21966080 22008000 23064384 23475200 24025400 24711840 25152000 25741500 26359296 26409600 27028575 27457600 28830480 29344000 30031750 30182400 30752512 30889800 32949120 33012000 34322000 34596576 35212800 36038100 37728000 38440640 38612250 39538944 41186400 42255360 43245720 43932160 44016000 45047625 46128768 48050800 49423680 50304000 51483000 52718592 52819200 54057150 54915200 57660960 58688000 60063500 61505024 61779600 65898240 66024000 68644000 69193152 70425600 72076200 75456000 76881280 77224500 79077888 82372800 86491440 87864320 88032000 90095250 92257536 96101600 98847360 102966000 105638400 108114300 109830400 115321920 117376000 120127000 123010048 123559200 131796480 132048000 135142875 137288000 138386304 144152400 150912000 153762560 154449000 158155776 164745600 172982880 176064000 180190500 184515072 192203200 197694720 205932000 211276800 216228600 219660800 230643840 240254000 247118400 263592960 264096000 270285750 274576000 276772608 288304800 307525120 308898000 329491200 345965760 352128000 360381000 369030144 384406400 395389440 411864000 432457200 439321600 461287680 480508000 494236800 528192000 540571500 549152000 553545216 576609600 615050240 617796000 658982400 691931520 720762000 768812800 790778880 823728000 864914400 922575360 961016000 988473600 1056384000 1081143000 1098304000 1107090432 1153219200 1235592000 1317964800 1383863040 1441524000 1537625600 1647456000 1729828800 1845150720 1922032000 1976947200 2162286000 2196608000 2306438400 2471184000 2767726080 2883048000 3075251200 3294912000 3459657600 3844064000 3953894400 4324572000 4612876800 4942368000 5535452160 5766096000 6589824000 6919315200 7688128000 8649144000 9225753600 9884736000 11532192000 13838630400 15376256000 17298288000 19769472000 23064384000 27677260800 34596576000 46128768000 69193152000 138386304000
• Sum of all divisors σ(n): 574309660704
• Sum of proper divisors (its aliquot sum) s(n): 435923356704
• 138386304000 is an abundant number, because the sum of its proper divisors (435923356704) is greater than itself. Its abundance is 297537052704

Bases of 138386304000

• Binary: 10000000111000011101110110110000000000₂
• Hexadecimal: 0x2038776C00
• Base-36: 1RKNMRK0

Squares and roots of 138386304000

• 138386304000 squared (138386304000²) is 19150769134780416000000
• 138386304000 cubed (138386304000³) is 2650204159319539621822464000000000
• The square root of 138386304000 is 372003.0967613039
• The cube root of 138386304000 is 5172.4667009945

Scales and comparisons

• 138,386,304,000 seconds is equal to 4,400 years, 13 weeks, 2 days, 8 hours.
• To count from 1 to 138,386,304,000 would take you about eight thousand, eight hundred 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 138386304000 cubic inches would be around 431 feet tall.

Recreational maths with 138386304000

• 138386304000 backwards is 000403683831
• 138386304000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138386304000's digits is 36
• More coming soon!