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4238010000 = 24325472312
BaseRepresentation
bin1111110010011010…
…1110011010010000
3101221100120012210100
43330212232122100
532134412310000
61540311132400
7210010330200
oct37446563220
911840505710
104238010000
111885278704
129a3374100
13527026833
142c2bcc400
1519c0dba00
hexfc9ae690

4238010000 has 675 divisors, whose sum is σ = 17814768543. Its totient is φ = 937440000.

The previous prime is 4238009989. The next prime is 4238010013. The reversal of 4238010000 is 108324.

It is a happy number.

The square root of 4238010000 is 65100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 332259984 + 3905750016 = 18228^2 + 62496^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 134 ways as a sum of consecutive naturals, for example, 136709985 + ... + 136710015.

Almost surely, 24238010000 is an apocalyptic number.

4238010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4238010000 is the 65100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4238010000

4238010000 is an abundant number, since it is smaller than the sum of its proper divisors (13576758543).

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

4238010000 is a wasteful number, since it uses less digits than its factorization.

4238010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The cubic root of 4238010000 is about 1618.2812131698.

Adding to 4238010000 its reverse (108324), we get a palindrome (4238118324).

The spelling of 4238010000 in words is "four billion, two hundred thirty-eight million, ten thousand".