138400368000

Names of 138400368000

• Cardinal: 138400368000 can be written as One hundred thirty-eight billion, four hundred million, three hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 1.38400368 × 10¹¹

Factors of 138400368000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 653

Divisors of 138400368000

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 75 80 93 96 100 120 124 125 128 150 155 160 186 192 200 240 248 250 281 300 310 320 331 372 375 384 400 465 480 496 500 562 600 620 640 662 744 750 775 800 843 930 960 992 993 1000 1124 1200 1240 1324 1405 1488 1500 1550 1600 1655 1686 1860 1920 1984 1986 2000 2248 2325 2400 2480 2648 2810 2976 3000 3100 3200 3310 3372 3720 3875 3968 3972 4000 4215 4496 4650 4800 4960 4965 5296 5620 5952 6000 6200 6620 6744 7025 7440 7750 7944 8000 8275 8430 8711 8992 9300 9600 9920 9930 10261 10592 11240 11625 11904 12000 12400 13240 13488 14050 14880 15500 15888 16000 16550 16860 17422 17984 18600 19840 19860 20522 21075 21184 22480 23250 24000 24800 24825 26133 26480 26976 28100 29760 30783 31000 31776 33100 33720 34844 35125 35968 37200 39720 41044 41375 42150 42368 43555 44960 46500 48000 49600 49650 51305 52266 52960 53952 56200 59520 61566 62000 63552 66200 67440 69688 70250 74400 79440 82088 82750 84300 87110 89920 93000 93011 99200 99300 102610 104532 105375 105920 107904 112400 123132 124000 124125 127104 130665 132400 134880 139376 140500 148800 153915 158880 164176 165500 168600 174220 179840 186000 186022 198600 205220 209064 210750 211840 217775 224800 246264 248000 248250 256525 261330 264800 269760 278752 279033 281000 297600 307830 317760 328352 331000 337200 348440 372000 372044 397200 410440 418128 421500 435550 449600 465055 492528 496000 496500 513050 522660 529600 539520 557504 558066 562000 615660 635520 653325 656704 662000 674400 696880 744000 744088 769575 794400 820880 836256 843000 871100 899200 930110 985056 993000 1026100 1045320 1059200 1088875 1115008 1116132 1124000 1231320 1282625 1306650 1313408 1324000 1348800 1393760 1395165 1488000 1488176 1539150 1588800 1641760 1672512 1686000 1742200 1860220 1970112 1986000 2052200 2090640 2177750 2232264 2248000 2325275 2462640 2565250 2613300 2648000 2697600 2787520 2790330 2883341 2976352 3078300 3177600 3266625 3283520 3345024 3372000 3484400 3720440 3847875 3940224 3972000 4104400 4181280 4355500 4464528 4496000 4650550 4925280 5130500 5226600 5296000 5575040 5580660 5766682 5952704 6156600 6533250 6567040 6744000 6968800 6975825 7440880 7695750 7944000 8208800 8362560 8650023 8711000 8929056 9301100 9850560 10261000 10453200 11161320 11533364 11626375 11905408 12313200 13066500 13488000 13937600 13951650 14416705 14881760 15391500 15888000 16417600 16725120 17300046 17422000 17858112 18602200 19701120 20522000 20906400 22322640 23066728 23252750 24626400 26133000 27875200 27903300 28833410 29763520 30783000 32835200 34600092 34844000 34879125 35716224 37204400 41044000 41812800 43250115 44645280 46133456 46505500 49252800 52266000 55806600 57666820 59527040 61566000 69200184 69688000 69758250 72083525 74408800 82088000 83625600 86500230 89290560 92266912 93011000 98505600 104532000 111613200 115333640 123132000 138400368 139376000 139516500 144167050 148817600 164176000 173000460 178581120 184533824 186022000 209064000 216250575 223226400 230667280 246264000 276800736 279033000 288334100 297635200 346000920 360417625 369067648 372044000 418128000 432501150 446452800 461334560 492528000 553601472 558066000 576668200 692001840 720835250 744088000 865002300 892905600 922669120 1081252875 1107202944 1116132000 1153336400 1384003680 1441670500 1488176000 1730004600 1845338240 2162505750 2232264000 2306672800 2768007360 2883341000 3460009200 4325011500 4464528000 4613345600 5536014720 5766682000 6920018400 8650023000 9226691200 11533364000 13840036800 17300046000 23066728000 27680073600 34600092000 46133456000 69200184000 138400368000
• Sum of all divisors σ(n): 476718428160
• Sum of proper divisors (its aliquot sum) s(n): 338318060160
• 138400368000 is an abundant number, because the sum of its proper divisors (338318060160) is greater than itself. Its abundance is 199917692160

Bases of 138400368000

• Binary: 10000000111001010011100000010110000000₂
• Hexadecimal: 0x20394E0580
• Base-36: 1RKW07EO

Squares and roots of 138400368000

• 138400368000 squared (138400368000²) is 19154661862535424000000
• 138400368000 cubed (138400368000³) is 2651012250690468094636032000000000
• The square root of 138400368000 is 372021.9993495007
• The cube root of 138400368000 is 5172.6419184965

Scales and comparisons

• 138,400,368,000 seconds is equal to 4,400 years, 36 weeks, 4 days, 2 hours, 40 minutes.
• To count from 1 to 138,400,368,000 would take you about eight thousand, eight hundred 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 138400368000 cubic inches would be around 431.1 feet tall.

Recreational maths with 138400368000

• 138400368000 backwards is 000863004831
• The number of decimal digits it has is: 12
• The sum of 138400368000's digits is 33
• More coming soon!