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14204905800 = 23352231029341
BaseRepresentation
bin11010011101010110…
…11010100101001000
31100122222000222111020
431032223122211020
5213042423441200
610305312232440
71012003464351
oct151653324510
940588028436
1014204905800
11602a331a78
12290523b720
131454bc3107
1498a7b4d28
1558210aea0
hex34eada948

14204905800 has 96 divisors (see below), whose sum is σ = 45949826880. Its totient is φ = 3623276800.

The previous prime is 14204905783. The next prime is 14204905807. The reversal of 14204905800 is 850940241.

14204905800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14204905807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500871 + ... + 528470.

It is an arithmetic number, because the mean of its divisors is an integer number (478644030).

Almost surely, 214204905800 is an apocalyptic number.

14204905800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14204905800 is an abundant number, since it is smaller than the sum of its proper divisors (31744921080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14204905800 is a wasteful number, since it uses less digits than its factorization.

14204905800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029383 (or 1029374 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 14204905800 in words is "fourteen billion, two hundred four million, nine hundred five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 1029341 2058682 3088023 4117364 5146705 6176046 8234728 10293410 12352092 15440115 20586820 23674843 24704184 25733525 30880230 41173640 47349686 51467050 61760460 71024529 77200575 94699372 102934100 118374215 123520920 142049058 154401150 189398744 205868200 236748430 284098116 308802300 355122645 473496860 568196232 591871075 617604600 710245290 946993720 1183742150 1420490580 1775613225 2367484300 2840981160 3551226450 4734968600 7102452900 14204905800