138478118400

Names of 138478118400

• Cardinal: 138478118400 can be written as One hundred thirty-eight billion, four hundred seventy-eight million, one hundred eighteen thousand, four hundred.

Scientific notation

• Scientific notation: 1.384781184 × 10¹¹

Factors of 138478118400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 221

Divisors of 138478118400

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 200 211 216 225 240 243 256 270 288 300 320 324 360 384 400 405 422 432 450 480 486 512 540 576 600 633 640 648 675 720 768 800 810 844 864 900 960 972 1055 1080 1152 1200 1215 1266 1280 1296 1350 1440 1536 1600 1620 1688 1728 1800 1899 1920 1944 2025 2110 2160 2304 2400 2430 2532 2560 2592 2700 2880 3165 3200 3240 3376 3456 3600 3798 3840 3888 4050 4220 4320 4608 4800 4860 5064 5184 5275 5400 5697 5760 6075 6330 6400 6480 6752 6912 7200 7596 7680 7776 8100 8440 8640 9495 9600 9720 10128 10368 10550 10800 11394 11520 12150 12660 12800 12960 13504 13824 14400 15192 15552 15825 16200 16880 17091 17280 18990 19200 19440 20256 20736 21100 21600 22788 23040 24300 25320 25920 27008 28485 28800 30384 31104 31650 32400 33760 34182 34560 37980 38400 38880 40512 41472 42200 43200 44521 45576 47475 48600 50640 51273 51840 54016 56970 57600 60768 62208 63300 64800 67520 68364 69120 75960 77760 81024 84400 85455 86400 89042 91152 94950 97200 101280 102546 103680 108032 113940 115200 121536 124416 126600 129600 133563 135040 136728 142425 151920 155520 162048 168800 170910 172800 178084 182304 189900 194400 202560 205092 207360 222605 227880 243072 253200 256365 259200 267126 270080 273456 284850 303840 311040 324096 337600 341820 345600 356168 364608 379800 388800 400689 405120 410184 427275 445210 455760 486144 506400 512730 518400 534252 540160 546912 569700 607680 622080 667815 675200 683640 712336 729216 759600 777600 801378 810240 820368 854550 890420 911520 972288 1012800 1025460 1036800 1068504 1093824 1113025 1139400 1202067 1215360 1281825 1335630 1350400 1367280 1424672 1458432 1519200 1555200 1602756 1620480 1640736 1709100 1780840 1823040 2003445 2025600 2050920 2137008 2187648 2226050 2278800 2404134 2430720 2563650 2671260 2700800 2734560 2849344 2916864 3038400 3110400 3205512 3281472 3339075 3418200 3561680 3606201 3646080 4006890 4051200 4101840 4274016 4375296 4452100 4557600 4808268 4861440 5127300 5342520 5469120 5698688 6010335 6076800 6411024 6562944 6678150 6836400 7123360 7212402 7292160 8013780 8102400 8203680 8548032 8750592 8904200 9115200 9616536 10017225 10254600 10685040 10818603 10938240 11397376 12020670 12153600 12822048 13125888 13356300 13672800 14246720 14424804 14584320 16027560 16407360 17096064 17808400 18031005 18230400 19233072 20034450 20509200 21370080 21637206 21876480 22794752 24041340 24307200 25644096 26251776 26712600 27345600 28493440 28849608 30051675 32055120 32814720 34192128 35616800 36062010 36460800 38466144 40068900 41018400 42740160 43274412 43752960 48082680 51288192 53425200 54093015 54691200 56986880 57699216 60103350 64110240 65629440 68384256 71233600 72124020 72921600 76932288 80137800 82036800 85480320 86548824 90155025 96165360 102576384 106850400 108186030 109382400 113973760 115398432 120206700 128220480 131258880 142467200 144248040 153864576 160275600 164073600 170960640 173097648 180310050 192330720 205152768 213700800 216372060 218764800 230796864 240413400 256440960 270465075 284934400 288496080 307729152 320551200 328147200 341921280 346195296 360620100 384661440 427401600 432744120 461593728 480826800 512881920 540930150 569868800 576992160 615458304 641102400 656294400 692390592 721240200 769322880 854803200 865488240 923187456 961653600 1025763840 1081860300 1153984320 1282204800 1384781184 1442480400 1538645760 1709606400 1730976480 1846374912 1923307200 2163720600 2307968640 2564409600 2769562368 2884960800 3077291520 3461952960 3846614400 4327441200 4615937280 5128819200 5539124736 5769921600 6923905920 7693228800 8654882400 9231874560 11539843200 13847811840 15386457600 17309764800 23079686400 27695623680 34619529600 46159372800 69239059200 138478118400
• Sum of all divisors σ(n): 516376816956
• Sum of proper divisors (its aliquot sum) s(n): 377898698556
• 138478118400 is an abundant number, because the sum of its proper divisors (377898698556) is greater than itself. Its abundance is 239420580156

Bases of 138478118400

• Binary: 10000000111101111100000110011000000000₂
• Hexadecimal: 0x203DF06600
• Base-36: 1RM6AO00

Squares and roots of 138478118400

• 138478118400 squared (138478118400²) is 19176189275604418560000
• 138478118400 cubed (138478118400³) is 2655482608967958904914837504000000
• The square root of 138478118400 is 372126.4817236205
• The cube root of 138478118400 is 5173.6103641163

Scales and comparisons

• 138,478,118,400 seconds is equal to 4,403 years, 9 weeks, 1 day.
• To count from 1 to 138,478,118,400 would take you about eight thousand, eight hundred six 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 138478118400 cubic inches would be around 431.1 feet tall.

Recreational maths with 138478118400

• 138478118400 backwards is 004811874831
• 138478118400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138478118400's digits is 45
• More coming soon!