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1000300144 = 24196175333
BaseRepresentation
bin111011100111110…
…101111001110000
32120201020111211111
4323213311321300
54022034101034
6243131523104
733534260644
oct7347657160
92521214744
101000300144
11473709338
1223abb9494
1312c31399c
1496bc8c24
155cc40364
hex3b9f5e70

1000300144 has 40 divisors (see below), whose sum is σ = 2043775440. Its totient is φ = 472969728.

The previous prime is 1000300121. The next prime is 1000300211. The reversal of 1000300144 is 4410030001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 184902 + ... + 190234.

It is an arithmetic number, because the mean of its divisors is an integer number (51094386).

Almost surely, 21000300144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000300144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021887720).

1000300144 is an abundant number, since it is smaller than the sum of its proper divisors (1043475296).

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

1000300144 is a wasteful number, since it uses less digits than its factorization.

1000300144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5977 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1000300144 is about 31627.5219389695. The cubic root of 1000300144 is about 1000.1000379921.

Adding to 1000300144 its reverse (4410030001), we get a palindrome (5410330145).

The spelling of 1000300144 in words is "one billion, three hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 617 1234 2468 4936 5333 9872 10666 11723 21332 23446 42664 46892 85328 93784 101327 187568 202654 405308 810616 1621232 3290461 6580922 13161844 26323688 52647376 62518759 125037518 250075036 500150072 1000300144