345146198700800

Names of 345146198700800

• Cardinal: 345146198700800 can be written as Three hundred forty-five trillion, one hundred forty-six billion, one hundred ninety-eight million, seven hundred thousand, eight hundred.

Scientific notation

• Scientific notation: 3.451461987008 × 10¹⁴

Factors of 345146198700800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 130578992

Divisors of 345146198700800

• Number of divisors d(n): 216
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 59 64 70 80 100 112 118 128 140 160 175 200 224 236 256 280 295 320 350 400 413 448 472 560 590 640 700 800 826 896 944 1120 1180 1280 1400 1475 1600 1652 1792 1888 2065 2240 2360 2800 2950 3200 3304 3776 4130 4480 4720 5600 5900 6400 6608 7552 8260 8960 9440 10325 11200 11800 13216 15104 16520 18880 20650 22400 23600 26432 33040 37760 41300 44800 47200 52864 66080 75520 82600 94400 105728 132160 165200 188800 264320 330400 377600 528640 660800 1321600 2643200 130578919 261157838 522315676 652894595 914052433 1044631352 1305789190 1828104866 2089262704 2611578380 3264472975 3656209732 4178525408 4570262165 5223156760 6528945950 7312419464 7704156221 8357050816 9140524330 10446313520 13057891900 14624838928 15408312442 16714101632 18281048660 20892627040 22851310825 26115783800 29249677856 30816624884 33428203264 36562097320 38520781105 41785254080 45702621650 52231567600 53929093547 58499355712 61633249768 73124194640 77041562210 83570508160 91405243300 104463135200 107858187094 116998711424 123266499536 146248389280 154083124420 167141016320 182810486600 192603905525 208926270400 215716374188 233997422848 246532999072 269645467735 292496778560 308166248840 365620973200 385207811050 417852540800 431432748376 493065998144 539290935470 584993557120 616332497680 731241946400 770415622100 835705081600 862865496752 986131996288 1078581870940 1169987114240 1232664995360 1348227338675 1462483892800 1540831244200 1725730993504 1972263992576 2157163741880 2465329990720 2696454677350 2924967785600 3081662488400 3451461987008 4314327483760 4930659981440 5392909354700 5849935571200 6163324976800 6902923974016 8628654967520 9861319962880 10785818709400 12326649953600 13805847948032 17257309935040 21571637418800 24653299907200 34514619870080 43143274837600 49306599814400 69029239740160 86286549675200 172573099350400 345146198700800
• Sum of all divisors σ(n): 992880322425600
• Sum of proper divisors (its aliquot sum) s(n): 647734123724800
• 345146198700800 is an abundant number, because the sum of its proper divisors (647734123724800) is greater than itself. Its abundance is 302587925024000

Bases of 345146198700800

• Binary: 1001110011110100010011100100100011011001100000000₂
• Hexadecimal: 0x139E89C91B300
• Base-36: 3ECDZ3AN7K

Squares and roots of 345146198700800

• 345146198700800 squared (345146198700800²) is 119125898477612115607920640000
• 345146198700800 cubed (345146198700800³) is 41115851026365239473920838199757504512000000
• The square root of 345146198700800 is 18578110.7408907433
• The cube root of 345146198700800 is 70145.6964518543

Scales and comparisons

• 345,146,198,700,800 seconds is equal to 10,974,581 years, 26 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
• To count from 1 to 345,146,198,700,800 would take you about twenty-seven million, four hundred thirty-six thousand, four 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 345146198700800 cubic inches would be around 5845.5 feet tall.

Recreational maths with 345146198700800

• 345146198700800 backwards is 008007891641543
• 345146198700800 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 345146198700800's digits is 56
• More coming soon!