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200444232031400 = 235271356011055851
BaseRepresentation
bin101101100100110110001111…
…001111110101110010101000
3222021201021121011120102202102
4231210312033033311302220
5202233034241400001100
61550150450423352532
760135421633266350
oct5544661717656250
9867637534512672
10200444232031400
115895aa154585a5
121a5935278b2748
1387aca6b691c66
14376d7a4467b60
151829033c79cd5
hexb64d8f3f5ca8

200444232031400 has 96 divisors (see below), whose sum is σ = 532613391602880. Its totient is φ = 68723164800000.

The previous prime is 200444232031387. The next prime is 200444232031409. The reversal of 200444232031400 is 4130232444002.

It is not an unprimeable number, because it can be changed into a prime (200444232031409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189313475 + ... + 190369325.

It is an arithmetic number, because the mean of its divisors is an integer number (5548056162530).

Almost surely, 2200444232031400 is an apocalyptic number.

200444232031400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200444232031400 is an abundant number, since it is smaller than the sum of its proper divisors (332169159571480).

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

200444232031400 is a wasteful number, since it uses less digits than its factorization.

200444232031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191475 (or 1191466 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 200444232031400 its reverse (4130232444002), we get a palindrome (204574464475402).

The spelling of 200444232031400 in words is "two hundred trillion, four hundred forty-four billion, two hundred thirty-two million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 135601 271202 542404 678005 949207 1055851 1084808 1356010 1898414 2111702 2712020 3390025 3796828 4223404 4746035 5279255 5424040 6780050 7390957 7593656 8446808 9492070 10558510 13560100 14781914 18984140 21117020 23730175 26396275 27120200 29563828 36954785 37968280 42234040 47460350 52792550 59127656 73909570 94920700 105585100 147819140 184773925 189841400 211170200 295638280 369547850 739095700 1478191400 143174451451 286348902902 572697805804 715872257255 1002221160157 1145395611608 1431744514510 2004442320314 2863489029020 3579361286275 4008884640628 5011105800785 5726978058040 7158722572550 8017769281256 10022211601570 14317445145100 20044423203140 25055529003925 28634890290200 40088846406280 50111058007850 100222116015700 200444232031400