138046783985280

Names of 138046783985280

• Cardinal: 138046783985280 can be written as One hundred thirty-eight trillion, forty-six billion, seven hundred eighty-three million, nine hundred eighty-five thousand, two hundred eighty.

Scientific notation

• Scientific notation: 1.3804678398528 × 10¹⁴

Factors of 138046783985280

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 35377

Divisors of 138046783985280

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 461 480 576 640 720 922 960 1152 1383 1440 1559 1844 1920 2305 2766 2880 3118 3688 4149 4610 4677 5532 5760 6236 6915 7376 7795 8298 9220 9354 11064 12472 13830 14031 14752 15590 16596 18440 18708 20745 22128 23385 24944 27660 28062 29504 31180 33192 33347 36880 37416 41490 44256 46770 49888 55320 56124 59008 62360 66384 66694 70155 73760 74832 82980 88512 93540 99776 100041 110640 112248 124720 132768 133388 140310 147520 149664 165960 166735 177024 187080 199552 200082 221280 224496 249440 265536 266776 280620 295040 299328 300123 331920 333470 374160 400164 442560 448992 498880 500205 531072 533552 561240 598656 600246 663840 666940 718699 748320 800328 885120 897984 997760 1000410 1067104 1122480 1200492 1327680 1333880 1437398 1496640 1500615 1600656 1795968 2000820 2134208 2156097 2244960 2400984 2655360 2667760 2874796 2993280 3001230 3201312 3593495 4001640 4268416 4312194 4489920 4801968 5335520 5749592 6002460 6402624 6468291 7186990 8003280 8624388 8979840 9603936 10671040 10780485 11499184 12004920 12805248 12936582 14373980 15372967 16006560 17248776 19207872 21342080 21560970 22998368 24009840 25873164 28747960 30745934 32013120 32341455 34497552 38415744 43121940 45996736 46118901 48019680 51746328 51987973 57495920 61491868 64026240 64682910 68995104 76864835 86243880 91993472 92237802 96039360 103492656 103975946 114991840 122983736 129365820 137990208 138356703 153729670 155963919 172487760 184475604 192078720 206985312 207951892 229983680 230594505 245967472 258731640 259939865 275980416 276713406 307459340 311927838 344975520 368951208 413970624 415903784 459967360 461189010 467891757 491934944 517463280 519879730 553426812 614918680 623855676 689951040 691783515 737902416 779819595 827941248 831807568 922378020 935783514 983869888 1034926560 1039759460 1106853624 1229837360 1247711352 1379902080 1383567030 1475804832 1559639190 1663615136 1844756040 1871567028 1967739776 2069853120 2079518920 2213707248 2339458785 2459674720 2495422704 2767134060 2951609664 3119278380 3327230272 3689512080 3743134056 4139706240 4159037840 4427414496 4678917570 4919349440 4990845408 5534268120 5903219328 6238556760 6654460544 7379024160 7486268112 8318075680 8854828992 9357835140 9838698880 9981690816 11068536240 12477113520 14758048320 14972536224 16636151360 17709657984 18715670280 19963381632 22137072480 23966455553 24954227040 29516096640 29945072448 33272302720 37431340560 44274144960 47932911106 49908454080 59890144896 71899366659 74862681120 88548289920 95865822212 99816908160 119832277765 143798733318 149725362240 191731644424 215698099977 239664555530 287597466636 299450724480 359496833295 383463288848 431396199954 479329111060 575194933272 718993666590 766926577696 862792399908 958658222120 1078490499885 1150389866544 1437987333180 1533853155392 1725584799816 1917316444240 2156980999770 2300779733088 2875974666360 3067706310784 3451169599632 3834632888480 4313961999540 4601559466176 5751949332720 6902339199264 7669265776960 8627923999080 9203118932352 11503898665440 13804678398528 15338531553920 17255847998160 23007797330880 27609356797056 34511695996320 46015594661760 69023391992640 138046783985280
• Sum of all divisors σ(n): 478047608438400
• Sum of proper divisors (its aliquot sum) s(n): 340000824453120
• 138046783985280 is an abundant number, because the sum of its proper divisors (340000824453120) is greater than itself. Its abundance is 201954040467840

Bases of 138046783985280

• Binary: 11111011000110110000101100001011001011010000000₂
• Hexadecimal: 0x7D8D85859680
• Base-36: 1CXLTEX7K0

Squares and roots of 138046783985280

• 138046783985280 squared (138046783985280²) is 19056914568678558679256678400
• 138046783985280 cubed (138046783985280³) is 2630745768888304372975723579883607293952000
• The square root of 138046783985280 is 11749331.2143832255
• The cube root of 138046783985280 is 51682.3315553101

Scales and comparisons

• 138,046,783,985,280 seconds is equal to 4,389,460 years, 37 weeks, 4 days, 12 hours, 48 minutes.
• To count from 1 to 138,046,783,985,280 would take you about ten million, nine hundred seventy-three thousand, six hundred fifty-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 138046783985280 cubic inches would be around 4306.9 feet tall.

Recreational maths with 138046783985280

• 138046783985280 backwards is 082589387640831
• 138046783985280 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138046783985280's digits is 72
• More coming soon!