138765916800

Names of 138765916800

• Cardinal: 138765916800 can be written as One hundred thirty-eight billion, seven hundred sixty-five million, nine hundred sixteen thousand, eight hundred.

Scientific notation

• Scientific notation: 1.387659168 × 10¹¹

Factors of 138765916800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 496

Divisors of 138765916800

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 126 128 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 252 270 280 288 300 315 320 336 350 360 378 384 400 420 432 448 450 479 480 504 525 540 560 576 600 630 640 672 675 700 720 756 800 840 864 896 900 945 958 960 1008 1050 1080 1120 1152 1200 1260 1344 1350 1400 1437 1440 1512 1575 1600 1680 1728 1800 1890 1916 1920 2016 2100 2160 2240 2395 2400 2520 2688 2700 2800 2874 2880 3024 3150 3200 3353 3360 3456 3600 3780 3832 4032 4200 4311 4320 4480 4725 4790 4800 5040 5400 5600 5748 5760 6048 6300 6706 6720 7185 7200 7560 7664 8064 8400 8622 8640 9450 9580 9600 10059 10080 10800 11200 11496 11975 12096 12600 12933 13412 13440 14370 14400 15120 15328 16765 16800 17244 17280 18900 19160 20118 20160 21555 21600 22400 22992 23950 24192 25200 25866 26824 28740 28800 30177 30240 30656 33530 33600 34488 35925 37800 38320 40236 40320 43110 43200 45984 47900 50295 50400 51732 53648 57480 60354 60480 61312 64665 67060 67200 68976 71850 75600 76640 80472 83825 86220 86400 90531 91968 95800 100590 100800 103464 107296 107775 114960 120708 120960 129330 134120 137952 143700 150885 151200 153280 160944 167650 172440 181062 183936 191600 201180 201600 206928 214592 215550 229441 229920 241416 251475 258660 268240 275904 287400 301770 302400 306560 321888 323325 335300 344880 362124 383200 402360 413856 429184 431100 452655 458882 459840 482832 502950 517320 536480 551808 574800 603540 604800 643776 646650 670600 688323 689760 724248 754425 766400 804720 827712 862200 905310 917764 919680 965664 1005900 1034640 1072960 1147205 1149600 1207080 1287552 1293300 1341200 1376646 1379520 1448496 1508850 1532800 1606087 1609440 1655424 1724400 1810620 1835528 1931328 2011800 2064969 2069280 2145920 2263275 2294410 2299200 2414160 2586600 2682400 2753292 2759040 2896992 3017700 3212174 3218880 3441615 3448800 3621240 3671056 3862656 4023600 4129938 4138560 4526550 4588820 4598400 4818261 4828320 5173200 5364800 5506584 5736025 5793984 6035400 6194907 6424348 6437760 6883230 6897600 7242480 7342112 8030435 8047200 8259876 8277120 9053100 9177640 9636522 9656640 10324845 10346400 10729600 11013168 11472050 11587968 12070800 12389814 12848696 13766460 13795200 14454783 14484960 14684224 16060870 16094400 16519752 17208075 18106200 18355280 19273044 19313280 20649690 20692800 22026336 22944100 24091305 24141600 24779628 25697392 27532920 28909566 28969920 29368448 30974535 32121740 32188800 33039504 34416150 36212400 36710560 38546088 40152175 41299380 41385600 43364349 44052672 45888200 48182610 48283200 49559256 51394784 51624225 55065840 57819132 57939840 61949070 64243480 66079008 68832300 72273915 72424800 73421120 77092176 80304350 82598760 86728698 88105344 91776400 96365220 96566400 99118512 102789568 103248450 110131680 115638264 120456525 123898140 128486960 132158016 137664600 144547830 144849600 146842240 154184352 154872675 160608700 165197520 173457396 183552800 192730440 198237024 205579136 206496900 216821745 220263360 231276528 240913050 247796280 256973920 264316032 275329200 289095660 289699200 308368704 309745350 321217400 330395040 346914792 361369575 367105600 385460880 396474048 412993800 433643490 440526720 462553056 481826100 495592560 513947840 550658400 578191320 616737408 619490700 642434800 660790080 693829584 722739150 734211200 770921760 792948096 825987600 867286980 925106112 963652200 991185120 1027895680 1084108725 1101316800 1156382640 1238981400 1284869600 1321580160 1387659168 1445478300 1541843520 1651975200 1734573960 1850212224 1927304400 1982370240 2168217450 2202633600 2312765280 2477962800 2569739200 2775318336 2890956600 3083687040 3303950400 3469147920 3854608800 3964740480 4336434900 4625530560 4955925600 5139478400 5550636672 5781913200 6607900800 6938295840 7709217600 8672869800 9251061120 9911851200 11563826400 13876591680 15418435200 17345739600 19823702400 23127652800 27753183360 34691479200 46255305600 69382958400 138765916800
• Sum of all divisors σ(n): 581608161600
• Sum of proper divisors (its aliquot sum) s(n): 442842244800
• 138765916800 is an abundant number, because the sum of its proper divisors (442842244800) is greater than itself. Its abundance is 304076328000

Bases of 138765916800

• Binary: 10000001001111000101111101101010000000₂
• Hexadecimal: 0x204F17DA80
• Base-36: 1RQXN6O0

Squares and roots of 138765916800

• 138765916800 squared (138765916800²) is 19255979665344522240000
• 138765916800 cubed (138765916800³) is 2672073672143689816491589632000000
• The square root of 138765916800 is 372512.9753444839
• The cube root of 138765916800 is 5177.1919804621

Scales and comparisons

• 138,765,916,800 seconds is equal to 4,412 years, 17 weeks.
• To count from 1 to 138,765,916,800 would take you about eight thousand, eight hundred twenty-four 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 138765916800 cubic inches would be around 431.4 feet tall.

Recreational maths with 138765916800

• 138765916800 backwards is 008619567831
• 138765916800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138765916800's digits is 54
• More coming soon!