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2400032141 = 13296366133
BaseRepresentation
bin1000111100001101…
…1001010110001101
320012021002021011022
42033003121112031
514403402012031
61034053003525
7113321636153
oct21703312615
96167067138
102400032141
111021834741
1256b9235a5
132c32ca480
1418aa6b3d3
15e0a8097b
hex8f0d958d

2400032141 has 8 divisors (see below), whose sum is σ = 2673776280. Its totient is φ = 2139020352.

The previous prime is 2400032123. The next prime is 2400032147. The reversal of 2400032141 is 1412300042.

2400032141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 503778025 + 1896254116 = 22445^2 + 43546^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2400032141 - 214 = 2400015757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400032147) 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, 3182690 + ... + 3183443.

It is an arithmetic number, because the mean of its divisors is an integer number (334222035).

Almost surely, 22400032141 is an apocalyptic number.

It is an amenable number.

2400032141 is a deficient number, since it is larger than the sum of its proper divisors (273744139).

2400032141 is a wasteful number, since it uses less digits than its factorization.

2400032141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6366175.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2400032141 is about 48990.1228922729. The cubic root of 2400032141 is about 1338.8718768722.

Adding to 2400032141 its reverse (1412300042), we get a palindrome (3812332183).

The spelling of 2400032141 in words is "two billion, four hundred million, thirty-two thousand, one hundred forty-one".

Divisors: 1 13 29 377 6366133 82759729 184617857 2400032141