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200400434433 = 32173142251831
BaseRepresentation
bin1011101010100011001…
…0111111010100000001
3201011021020202212021100
42322220302333110001
511240410002400213
6232021312445013
720323052405223
oct2725062772401
9634236685240
10200400434433
1177a97903551
1232a09849769
1315b89283424
1499b135a413
15532d6c1773
hex2ea8cbf501

200400434433 has 24 divisors (see below), whose sum is σ = 316381718016. Its totient is φ = 121685270400.

The previous prime is 200400434401. The next prime is 200400434489. The reversal of 200400434433 is 334434004002.

200400434433 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200400434433 - 25 = 200400434401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200400434397 and 200400434406.

It is not an unprimeable number, because it can be changed into a prime (200400434233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21121173 + ... + 21130658.

It is an arithmetic number, because the mean of its divisors is an integer number (13182571584).

Almost surely, 2200400434433 is an apocalyptic number.

It is an amenable number.

200400434433 is a deficient number, since it is larger than the sum of its proper divisors (115981283583).

200400434433 is a wasteful number, since it uses less digits than its factorization.

200400434433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42251885 (or 42251882 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 200400434433 its reverse (334434004002), we get a palindrome (534834438435).

The spelling of 200400434433 in words is "two hundred billion, four hundred million, four hundred thirty-four thousand, four hundred thirty-three".

Divisors: 1 3 9 17 31 51 93 153 279 527 1581 4743 42251831 126755493 380266479 718281127 1309806761 2154843381 3929420283 6464530143 11788260849 22266714937 66800144811 200400434433