138420526400

Names of 138420526400

• Cardinal: 138420526400 can be written as One hundred thirty-eight billion, four hundred twenty million, five hundred twenty-six thousand, four hundred.

Scientific notation

• Scientific notation: 1.384205264 × 10¹¹

Factors of 138420526400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 283

Divisors of 138420526400

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 29 32 40 41 50 52 58 64 65 80 82 100 104 116 130 145 160 164 193 200 205 208 232 260 290 320 325 328 377 386 400 410 416 464 520 533 580 650 656 725 754 772 800 820 832 841 928 965 1025 1040 1066 1160 1189 1300 1312 1450 1508 1544 1600 1640 1682 1856 1885 1930 2050 2080 2132 2320 2378 2509 2600 2624 2665 2900 3016 3088 3280 3364 3770 3860 4100 4160 4205 4264 4640 4756 4825 5018 5200 5330 5597 5800 5945 6032 6176 6560 6728 7540 7720 7913 8200 8410 8528 9280 9425 9512 9650 10036 10400 10660 10933 11194 11600 11890 12064 12352 12545 13120 13325 13456 15080 15440 15457 15826 16400 16820 17056 18850 19024 19300 20072 20800 21025 21320 21866 22388 23200 23780 24128 25090 26650 26912 27985 29725 30160 30880 30914 31652 32800 33640 34112 34481 37700 38048 38600 39565 40144 42050 42640 43732 44776 46400 47560 50180 53300 53824 54665 55970 59450 60320 61760 61828 62725 63304 65600 67280 68962 72761 75400 76096 77200 77285 79130 80288 84100 85280 87464 89552 95120 100360 102869 106600 109330 111940 118900 120640 123656 125450 126608 134560 137924 139925 145522 150800 154400 154570 158260 160576 162313 168200 170560 172405 174928 179104 190240 197825 200720 205738 213200 218660 223880 229477 237800 247312 250900 253216 269120 273325 275848 279850 291044 301600 308800 309140 316520 324626 336400 344810 349856 358208 363805 380480 386425 395650 401440 411476 426400 437320 447760 448253 458954 475600 494624 501800 506432 514345 546650 551696 559700 582088 603200 618280 633040 649252 672800 689620 699712 727610 772850 791300 802880 811565 822952 852800 862025 874640 895520 896506 917908 951200 989248 1003600 1028690 1093300 1103392 1119400 1147385 1164176 1236560 1266080 1298504 1345600 1379240 1455220 1545700 1582600 1623130 1645904 1724050 1749280 1791040 1793012 1819025 1835816 1902400 2007200 2057380 2110069 2186600 2206784 2238800 2241265 2294770 2328352 2473120 2532160 2571725 2597008 2758480 2910440 2983201 3091400 3165200 3246260 3291808 3448100 3498560 3586024 3638050 3671632 4014400 4057825 4114760 4220138 4373200 4477600 4482530 4589540 4656704 4946240 5143450 5194016 5516960 5736925 5820880 5966402 6182800 6330400 6492520 6583616 6654833 6896200 7172048 7276100 7343264 8115650 8229520 8440276 8746400 8955200 8965060 9179080 10286900 10388032 10550345 11033920 11206325 11473850 11641760 11932804 12365600 12660800 12985040 13309666 13792400 14344096 14552200 14686528 14916005 16231300 16459040 16880552 17492800 17930120 18358160 20573800 21100690 22412650 22947700 23283520 23865608 24731200 25970080 26619332 27584800 28688192 29104400 29832010 32462600 32918080 33274165 33761104 35860240 36716320 41147600 42201380 44825300 45895400 47731216 51940160 52751725 53238664 55169600 58208800 59664020 64925200 66548330 67522208 71720480 73432640 74580025 82295200 84402760 86512829 89650600 91790800 95462432 105503450 106477328 116417600 119328040 129850400 133096660 135044416 143440960 149160050 164590400 166370825 168805520 173025658 179301200 183581600 190924864 211006900 212954656 238656080 259700800 266193320 298320100 332741650 337611040 346051316 358602400 367163200 422013800 425909312 432564145 477312160 532386640 596640200 665483300 675222080 692102632 717204800 844027600 865128290 954624320 1064773280 1193280400 1330966600 1384205264 1688055200 1730256580 2129546560 2162820725 2386560800 2661933200 2768410528 3376110400 3460513160 4325641450 4773121600 5323866400 5536821056 6921026320 8651282900 10647732800 13842052640 17302565800 27684105280 34605131600 69210263200 138420526400
• Sum of all divisors σ(n): 391167375144
• Sum of proper divisors (its aliquot sum) s(n): 252746848744
• 138420526400 is an abundant number, because the sum of its proper divisors (252746848744) is greater than itself. Its abundance is 114326322344

Bases of 138420526400

• Binary: 10000000111010100000011001110101000000₂
• Hexadecimal: 0x203A819D40
• Base-36: 1RL809Q8

Squares and roots of 138420526400

• 138420526400 squared (138420526400²) is 19160242128853096960000
• 138420526400 cubed (138420526400³) is 2652170801427302309473439744000000
• The square root of 138420526400 is 372049.0913844569
• The cube root of 138420526400 is 5172.8930428835

Scales and comparisons

• 138,420,526,400 seconds is equal to 4,401 years, 17 weeks, 6 days, 10 hours, 13 minutes, 20 seconds.
• To count from 1 to 138,420,526,400 would take you about eight thousand, eight hundred two 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 138420526400 cubic inches would be around 431.1 feet tall.

Recreational maths with 138420526400

• 138420526400 backwards is 004625024831
• The number of decimal digits it has is: 12
• The sum of 138420526400's digits is 35
• More coming soon!