138313728000
138,313,728,000 is an even composite number composed of five prime numbers multiplied together.
138313728000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred twelve divisors.
Prime factorization of 138313728000:
218 × 32 × 53 × 7 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 67)See below for interesting mathematical facts about the number 138313728000 from the Numbermatics database.
Names of 138313728000
- Cardinal: 138313728000 can be written as One hundred thirty-eight billion, three hundred thirteen million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38313728 × 1011
Factors of 138313728000
Divisors of 138313728000
- Number of divisors d(n): 912
-
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 67 70 72 75 80 84 90 96 100 105 112 120 125 126 128 134 140 144 150 160 168 175 180 192 200 201 210 224 225 240 250 252 256 268 280 288 300 315 320 335 336 350 360 375 384 400 402 420 448 450 469 480 500 504 512 525 536 560 576 600 603 630 640 670 672 700 720 750 768 800 804 840 875 896 900 938 960 1000 1005 1008 1024 1050 1072 1120 1125 1152 1200 1206 1260 1280 1340 1344 1400 1407 1440 1500 1536 1575 1600 1608 1675 1680 1750 1792 1800 1876 1920 2000 2010 2016 2048 2100 2144 2240 2250 2304 2345 2400 2412 2520 2560 2625 2680 2688 2800 2814 2880 3000 3015 3072 3150 3200 3216 3350 3360 3500 3584 3600 3752 3840 4000 4020 4032 4096 4200 4221 4288 4480 4500 4608 4690 4800 4824 5025 5040 5120 5250 5360 5376 5600 5628 5760 6000 6030 6144 6300 6400 6432 6700 6720 7000 7035 7168 7200 7504 7680 7875 8000 8040 8064 8192 8375 8400 8442 8576 8960 9000 9216 9380 9600 9648 10050 10080 10240 10500 10720 10752 11200 11256 11520 11725 12000 12060 12288 12600 12800 12864 13400 13440 14000 14070 14336 14400 15008 15075 15360 15750 16000 16080 16128 16384 16750 16800 16884 17152 17920 18000 18432 18760 19200 19296 20100 20160 20480 21000 21105 21440 21504 22400 22512 23040 23450 24000 24120 24576 25125 25200 25600 25728 26800 26880 28000 28140 28672 28800 30016 30150 30720 31500 32000 32160 32256 32768 33500 33600 33768 34304 35175 35840 36000 36864 37520 38400 38592 40200 40320 40960 42000 42210 42880 43008 44800 45024 46080 46900 48000 48240 49152 50250 50400 51200 51456 53600 53760 56000 56280 57344 57600 58625 60032 60300 61440 63000 64000 64320 64512 65536 67000 67200 67536 68608 70350 71680 72000 73728 75040 75375 76800 77184 80400 80640 81920 84000 84420 85760 86016 89600 90048 92160 93800 96000 96480 98304 100500 100800 102400 102912 105525 107200 107520 112000 112560 114688 115200 117250 120064 120600 122880 126000 128000 128640 129024 131072 134000 134400 135072 137216 140700 143360 144000 147456 150080 150750 153600 154368 160800 161280 163840 168000 168840 171520 172032 175875 179200 180096 184320 187600 192000 192960 196608 201000 201600 204800 205824 211050 214400 215040 224000 225120 229376 230400 234500 240128 241200 245760 252000 256000 257280 258048 262144 268000 268800 270144 274432 281400 286720 288000 294912 300160 301500 307200 308736 321600 322560 327680 336000 337680 343040 344064 351750 358400 360192 368640 375200 384000 385920 393216 402000 403200 409600 411648 422100 428800 430080 448000 450240 458752 460800 469000 480256 482400 491520 504000 512000 514560 516096 527625 536000 537600 540288 548864 562800 573440 576000 589824 600320 603000 614400 617472 643200 645120 655360 672000 675360 686080 688128 703500 716800 720384 737280 750400 768000 771840 786432 804000 806400 819200 823296 844200 857600 860160 896000 900480 917504 921600 938000 960512 964800 983040 1008000 1024000 1029120 1032192 1055250 1072000 1075200 1080576 1097728 1125600 1146880 1152000 1179648 1200640 1206000 1228800 1234944 1286400 1290240 1310720 1344000 1350720 1372160 1376256 1407000 1433600 1440768 1474560 1500800 1536000 1543680 1608000 1612800 1638400 1646592 1688400 1715200 1720320 1792000 1800960 1835008 1843200 1876000 1921024 1929600 1966080 2016000 2048000 2058240 2064384 2110500 2144000 2150400 2161152 2195456 2251200 2293760 2304000 2359296 2401280 2412000 2457600 2469888 2572800 2580480 2688000 2701440 2744320 2752512 2814000 2867200 2881536 2949120 3001600 3072000 3087360 3216000 3225600 3276800 3293184 3376800 3430400 3440640 3584000 3601920 3686400 3752000 3842048 3859200 3932160 4032000 4096000 4116480 4128768 4221000 4288000 4300800 4322304 4390912 4502400 4587520 4608000 4802560 4824000 4915200 4939776 5145600 5160960 5376000 5402880 5488640 5505024 5628000 5734400 5763072 5898240 6003200 6144000 6174720 6432000 6451200 6553600 6586368 6753600 6860800 6881280 7168000 7203840 7372800 7504000 7684096 7718400 8064000 8192000 8232960 8257536 8442000 8576000 8601600 8644608 8781824 9004800 9175040 9216000 9605120 9648000 9830400 9879552 10291200 10321920 10752000 10805760 10977280 11256000 11468800 11526144 11796480 12006400 12288000 12349440 12864000 12902400 13172736 13507200 13721600 13762560 14336000 14407680 14745600 15008000 15368192 15436800 16128000 16384000 16465920 16515072 16884000 17152000 17203200 17289216 17563648 18009600 18432000 19210240 19296000 19660800 19759104 20582400 20643840 21504000 21611520 21954560 22512000 22937600 23052288 24012800 24576000 24698880 25728000 25804800 26345472 27014400 27443200 27525120 28672000 28815360 29491200 30016000 30736384 30873600 32256000 32768000 32931840 33768000 34304000 34406400 34578432 36019200 36864000 38420480 38592000 39518208 41164800 41287680 43008000 43223040 43909120 45024000 45875200 46104576 48025600 49152000 49397760 51456000 51609600 52690944 54028800 54886400 57344000 57630720 58982400 60032000 61472768 61747200 64512000 65863680 67536000 68608000 68812800 69156864 72038400 73728000 76840960 77184000 79036416 82329600 82575360 86016000 86446080 87818240 90048000 92209152 96051200 98304000 98795520 102912000 103219200 108057600 109772800 114688000 115261440 120064000 122945536 123494400 129024000 131727360 135072000 137216000 137625600 138313728 144076800 147456000 153681920 154368000 158072832 164659200 172032000 172892160 180096000 184418304 192102400 197591040 205824000 206438400 216115200 219545600 229376000 230522880 240128000 246988800 258048000 263454720 270144000 274432000 276627456 288153600 294912000 307363840 308736000 329318400 344064000 345784320 360192000 368836608 384204800 395182080 411648000 412876800 432230400 439091200 461045760 480256000 493977600 516096000 540288000 548864000 553254912 576307200 614727680 617472000 658636800 688128000 691568640 720384000 768409600 790364160 823296000 864460800 922091520 960512000 987955200 1032192000 1080576000 1097728000 1106509824 1152614400 1234944000 1317273600 1383137280 1440768000 1536819200 1646592000 1728921600 1844183040 1921024000 1975910400 2064384000 2161152000 2195456000 2305228800 2469888000 2766274560 2881536000 3073638400 3293184000 3457843200 3842048000 3951820800 4322304000 4610457600 4939776000 5532549120 5763072000 6586368000 6915686400 7684096000 8644608000 9220915200 9879552000 11526144000 13831372800 15368192000 17289216000 19759104000 23052288000 27662745600 34578432000 46104576000 69156864000 138313728000
- Sum of all divisors σ(n): 578410195584
- Sum of proper divisors (its aliquot sum) s(n): 440096467584
- 138313728000 is an abundant number, because the sum of its proper divisors (440096467584) is greater than itself. Its abundance is 301782739584
Bases of 138313728000
- Binary: 100000001101000010010000000000000000002
- Hexadecimal: 0x2034240000
- Base-36: 1RJGF7K0
Squares and roots of 138313728000
- 138313728000 squared (1383137280002) is 19130687353257984000000
- 138313728000 cubed (1383137280003) is 2646036687031564712804352000000000
-
The
square root of 138313728000 is 371905.5363933159 -
The
cube root of 138313728000 is 5171.5623181749
Scales and comparisons
How big is 138313728000?- 138,313,728,000 seconds is equal to 4,397 years, 49 weeks, 2 days, 8 hours.
-
To count from 1 to 138,313,728,000 would take you about eight thousand, seven hundred ninety-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 138313728000 cubic inches would be around 431 feet tall.
Recreational maths with 138313728000
- 138313728000 backwards is 000827313831
- 138313728000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138313728000's digits is 36
- More coming soon!
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The information we have on file for 138313728000 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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