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204442114000 = 2453831231579
BaseRepresentation
bin1011111001100110110…
…0110001011111010000
3201112200220220110100011
42332121230301133100
511322144140122000
6233530332004304
720525160203455
oct2763154613720
9645626813304
10204442114000
11797812751a3
1233757300694
1316381708cb7
149c7603d82c
1554b842b2ba
hex2f99b317d0

204442114000 has 80 divisors (see below), whose sum is σ = 500297353920. Its totient is φ = 80791516800.

The previous prime is 204442113989. The next prime is 204442114021. The reversal of 204442114000 is 411244402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449790 + ... + 781789.

It is an arithmetic number, because the mean of its divisors is an integer number (6253716924).

Almost surely, 2204442114000 is an apocalyptic number.

204442114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204442114000 is an abundant number, since it is smaller than the sum of its proper divisors (295855239920).

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

204442114000 is a wasteful number, since it uses less digits than its factorization.

204442114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231685 (or 1231669 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 204442114000 its reverse (411244402), we get a palindrome (204853358402).

The spelling of 204442114000 in words is "two hundred four billion, four hundred forty-two million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 166 200 250 332 400 415 500 664 830 1000 1328 1660 2000 2075 3320 4150 6640 8300 10375 16600 20750 33200 41500 83000 166000 1231579 2463158 4926316 6157895 9852632 12315790 19705264 24631580 30789475 49263160 61578950 98526320 102221057 123157900 153947375 204442114 246315800 307894750 408884228 492631600 511105285 615789500 817768456 1022210570 1231579000 1635536912 2044421140 2463158000 2555526425 4088842280 5111052850 8177684560 10222105700 12777632125 20444211400 25555264250 40888422800 51110528500 102221057000 204442114000