468338541132800

Names of 468338541132800

• Cardinal: 468338541132800 can be written as Four hundred sixty-eight trillion, three hundred thirty-eight billion, five hundred forty-one million, one hundred thirty-two thousand, eight hundred.

Scientific notation

• Scientific notation: 4.683385411328 × 10¹⁴

Factors of 468338541132800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 108251347

Divisors of 468338541132800

• Number of divisors d(n): 198
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 169 200 208 256 260 320 325 338 400 416 512 520 640 650 676 800 832 845 1024 1040 1280 1300 1352 1600 1664 1690 2080 2560 2600 2704 3200 3328 3380 4160 4225 5120 5200 5408 6400 6656 6760 8320 8450 10400 10816 12800 13312 13520 16640 16900 20800 21632 25600 27040 33280 33800 41600 43264 54080 66560 67600 83200 86528 108160 135200 166400 173056 216320 270400 332800 432640 540800 865280 1081600 2163200 4326400 108251327 216502654 433005308 541256635 866010616 1082513270 1407267251 1732021232 2165026540 2706283175 2814534502 3464042464 4330053080 5412566350 5629069004 6928084928 7036336255 8660106160 10825132700 11258138008 13856169856 14072672510 17320212320 18294474263 21650265400 22516276016 27712339712 28145345020 34640424640 35181681275 36588948526 43300530800 45032552032 55424679424 56290690040 69280849280 70363362550 73177897052 86601061600 90065104064 91472371315 110849358848 112581380080 138561698560 140726725100 146355794104 173202123200 180130208128 182944742630 225162760160 277123397120 281453450200 292711588208 346404246400 360260416256 365889485260 450325520320 457361856575 554246794240 562906900400 585423176416 692808492800 720520832512 731778970520 900651040640 914723713150 1125813800800 1170846352832 1385616985600 1441041665024 1463557941040 1801302081280 1829447426300 2251627601600 2341692705664 2771233971200 2927115882080 3602604162560 3658894852600 4503255203200 4683385411328 5854231764160 7205208325120 7317789705200 9006510406400 9366770822656 11708463528320 14635579410400 18013020812800 18733541645312 23416927056640 29271158820800 36026041625600 46833854113280 58542317641600 93667708226560 117084635283200 234169270566400 468338541132800
• Sum of all divisors σ(n): 1257082727323968
• Sum of proper divisors (its aliquot sum) s(n): 788744186191168
• 468338541132800 is an abundant number, because the sum of its proper divisors (788744186191168) is greater than itself. Its abundance is 320405645058368

Bases of 468338541132800

• Binary: 1101010011111001110010000011000001111110000000000₂
• Hexadecimal: 0x1A9F39060FC00
• Base-36: 4M0FR78WZK

Squares and roots of 468338541132800

• 468338541132800 squared (468338541132800²) is 219340989110399397507235840000
• 468338541132800 cubed (468338541132800³) is 102725838850589825109678910237470359552000000
• The square root of 468338541132800 is 21641130.7729702515
• The cube root of 468338541132800 is 77658.0771354387

Scales and comparisons

• 468,338,541,132,800 seconds is equal to 14,891,716 years, 48 weeks, 6 days, 19 hours, 33 minutes, 20 seconds.
• To count from 1 to 468,338,541,132,800 would take you about thirty-seven million, two hundred twenty-nine thousand, two hundred ninety-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 468338541132800 cubic inches would be around 6471.5 feet tall.

Recreational maths with 468338541132800

• 468338541132800 backwards is 008231145833864
• The number of decimal digits it has is: 15
• The sum of 468338541132800's digits is 56
• More coming soon!