137648800224

Names of 137648800224

• Cardinal: 137648800224 can be written as One hundred thirty-seven billion, six hundred forty-eight million, eight hundred thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.37648800224 × 10¹¹

Factors of 137648800224

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 8000

Divisors of 137648800224

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 72 76 78 81 96 104 108 114 117 144 152 156 162 171 208 216 228 234 243 247 288 304 312 324 342 351 416 432 456 468 486 494 513 608 624 648 684 702 729 741 864 912 936 972 988 1026 1053 1248 1296 1368 1404 1458 1482 1539 1824 1872 1944 1976 2052 2106 2187 2223 2592 2736 2808 2916 2964 3078 3159 3744 3888 3952 4104 4212 4374 4446 4617 5472 5616 5832 5928 6156 6318 6669 7776 7904 7963 8208 8424 8748 8892 9234 9477 11232 11664 11856 12312 12636 13338 13851 15926 16416 16848 17496 17784 18468 18954 20007 23328 23712 23889 24624 25272 26676 27702 28431 31852 33696 34992 35568 36936 37908 40014 41553 47778 49248 50544 53352 55404 56862 60021 63704 69984 71136 71667 73872 75816 80028 83106 95556 101088 103519 106704 110808 113724 120042 127408 143334 147744 151297 151632 160056 166212 180063 191112 207038 213408 215001 221616 227448 240084 254816 286668 302594 303264 310557 320112 332424 360126 382224 414076 430002 443232 453891 454896 480168 540189 573336 605188 621114 640224 645003 664848 720252 764448 828152 860004 907782 909792 931671 960336 1080378 1146672 1210376 1242228 1290006 1329696 1361673 1440504 1656304 1720008 1815564 1863342 1920672 1935009 1966861 2160756 2293344 2420752 2484456 2580012 2723346 2795013 2881008 3312608 3440016 3631128 3726684 3870018 3933722 4085019 4321512 4841504 4968912 5160024 5446692 5590026 5762016 5805027 5900583 6880032 7262256 7453368 7740036 7867444 8170038 8385039 8643024 9937824 10320048 10893384 11180052 11610054 11801166 12255057 14524512 14906736 15480072 15734888 16340076 16770078 17286048 17415081 17701749 20640096 21786768 22360104 23220108 23602332 24510114 25155117 29813472 30960144 31469776 32680152 33540156 34830162 35403498 36765171 43573536 44720208 46440216 47204664 49020228 50310234 53105247 61920288 62939552 65360304 67080312 69660324 70806996 73530342 75465351 89440416 92880432 94409328 98040456 100620468 106210494 110295513 130720608 134160624 139320648 141613992 147060684 150930702 159315741 185760864 188818656 196080912 201240936 212420988 220591026 226396053 268321248 278641296 283227984 294121368 301861404 318631482 330886539 392161824 402481872 424841976 441182052 452792106 477947223 557282592 566455968 588242736 603722808 637262964 661773078 804963744 849683952 882364104 905584212 955894446 1176485472 1207445616 1274525928 1323546156 1433841669 1699367904 1764728208 1811168424 1911788892 2414891232 2549051856 2647092312 2867683338 3529456416 3622336848 3823577784 4301525007 5098103712 5294184624 5735366676 7244673696 7647155568 8603050014 10588369248 11470733352 15294311136 17206100028 22941466704 34412200056 45882933408 68824400112 137648800224
• Sum of all divisors σ(n): 460790668800
• Sum of proper divisors (its aliquot sum) s(n): 323141868576
• 137648800224 is an abundant number, because the sum of its proper divisors (323141868576) is greater than itself. Its abundance is 185493068352

Bases of 137648800224

• Binary: 10000000001100100000100000000111100000₂
• Hexadecimal: 0x200C8201E0
• Base-36: 1R8GJI00

Squares and roots of 137648800224

• 137648800224 squared (137648800224²) is 18947192203106662450176
• 137648800224 cubed (137648800224³) is 2608058274371159411767678577639424
• The square root of 137648800224 is 371010.5122823339
• The cube root of 137648800224 is 5163.2617668169

Scales and comparisons

• 137,648,800,224 seconds is equal to 4,376 years, 41 weeks, 6 days, 9 hours, 50 minutes, 24 seconds.
• To count from 1 to 137,648,800,224 would take you about eight thousand, seven hundred fifty-three 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 137648800224 cubic inches would be around 430.3 feet tall.

Recreational maths with 137648800224

• 137648800224 backwards is 422008846731
• The number of decimal digits it has is: 12
• The sum of 137648800224's digits is 45
• More coming soon!