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4000200144 = 243292873707
BaseRepresentation
bin1110111001101110…
…0011010111010000
3101022210002012222220
43232123203113100
531143022401034
61500534101040
7201062066043
oct35633432720
911283065886
104000200144
111773010636
129377aa780
134b9991845
1429d3a6c5a
151862b4749
hexee6e35d0

4000200144 has 40 divisors (see below), whose sum is σ = 10690193760. Its totient is φ = 1287420288.

The previous prime is 4000200143. The next prime is 4000200163. The reversal of 4000200144 is 4410020004.

It is a super-3 number, since 3×40002001443 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000200143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1435462 + ... + 1438245.

It is an arithmetic number, because the mean of its divisors is an integer number (267254844).

Almost surely, 24000200144 is an apocalyptic number.

It is an amenable number.

4000200144 is an abundant number, since it is smaller than the sum of its proper divisors (6689993616).

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

4000200144 is a wasteful number, since it uses less digits than its factorization.

4000200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873747 (or 2873741 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4000200144 is about 63247.1354608254. The cubic root of 4000200144 is about 1587.4275272596.

Adding to 4000200144 its reverse (4410020004), we get a palindrome (8410220148).

The spelling of 4000200144 in words is "four billion, two hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 2873707 5747414 8621121 11494828 17242242 22989656 34484484 45979312 68968968 83337503 137937936 166675006 250012509 333350012 500025018 666700024 1000050036 1333400048 2000100072 4000200144