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200444442444 = 223210354057293
BaseRepresentation
bin1011101010101101101…
…0110111011101001100
3201011101022120200220200
42322223122313131030
511241002234124234
6232025524013500
720324125435401
oct2725332673514
9634338520820
10200444442444
117800a731404
1232a20531290
1315b9542137c
1499b71342a8
1553324b5d99
hex2eab6b774c

200444442444 has 36 divisors (see below), whose sum is σ = 511598230416. Its totient is φ = 66166125408.

The previous prime is 200444442433. The next prime is 200444442449. The reversal of 200444442444 is 444244444002.

200444442444 is a `hidden beast` number, since 200 + 4 + 4 + 4 + 4 + 4 + 2 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 200444442399 and 200444442408.

It is not an unprimeable number, because it can be changed into a prime (200444442449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27024939 + ... + 27032354.

It is an arithmetic number, because the mean of its divisors is an integer number (14211061956).

Almost surely, 2200444442444 is an apocalyptic number.

It is an amenable number.

200444442444 is an abundant number, since it is smaller than the sum of its proper divisors (311153787972).

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

200444442444 is a wasteful number, since it uses less digits than its factorization.

200444442444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54057406 (or 54057401 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 200444442444 its reverse (444244444002), we get a palindrome (644688886446).

The spelling of 200444442444 in words is "two hundred billion, four hundred forty-four million, four hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1854 3708 54057293 108114586 162171879 216229172 324343758 486515637 648687516 973031274 1946062548 5567901179 11135802358 16703703537 22271604716 33407407074 50111110611 66814814148 100222221222 200444442444