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243141341600 = 2552303926677
BaseRepresentation
bin1110001001110001011…
…0100111000110100000
3212020120221022220120002
43202130112213012200
512440423140412400
6303410402435132
723365161206063
oct3423426470640
9766527286502
10243141341600
119412aa48723
123b157662aa8
1319c0b142b41
14baa79688da
1564d0b1ded5
hex389c5a71a0

243141341600 has 36 divisors (see below), whose sum is σ = 593568802134. Its totient is φ = 97256536320.

The previous prime is 243141341591. The next prime is 243141341621. The reversal of 243141341600 is 6143141342.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 110030197264 + 133111144336 = 331708^2 + 364844^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 151962539 + ... + 151964138.

Almost surely, 2243141341600 is an apocalyptic number.

243141341600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243141341600 is an abundant number, since it is smaller than the sum of its proper divisors (350427460534).

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

243141341600 is a wasteful number, since it uses less digits than its factorization.

243141341600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303926697 (or 303926684 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 243141341600 its reverse (6143141342), we get a palindrome (249284482942).

The spelling of 243141341600 in words is "two hundred forty-three billion, one hundred forty-one million, three hundred forty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 303926677 607853354 1215706708 1519633385 2431413416 3039266770 4862826832 6078533540 7598166925 9725653664 12157067080 15196333850 24314134160 30392667700 48628268320 60785335400 121570670800 243141341600