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4230144000 = 213355317
BaseRepresentation
bin1111110000100010…
…1110000000000000
3101220210202120200000
43330020232000000
532130404102000
61535430400000
7206553426225
oct37410560000
911823676600
104230144000
111880895885
129a0800000
135255013b4
142c1b4194c
1519b586000
hexfc22e000

4230144000 has 672 divisors, whose sum is σ = 16745260896. Its totient is φ = 1061683200.

The previous prime is 4230143917. The next prime is 4230144001. The reversal of 4230144000 is 4410324.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4230144001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248831992 + ... + 248832008.

It is an arithmetic number, because the mean of its divisors is an integer number (24918543).

Almost surely, 24230144000 is an apocalyptic number.

4230144000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4230144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372630448).

4230144000 is an abundant number, since it is smaller than the sum of its proper divisors (12515116896).

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

4230144000 is an frugal number, since it uses more digits than its factorization.

4230144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4230144000 is about 65039.5571940646. The cubic root of 4230144000 is about 1617.2793841933.

Adding to 4230144000 its reverse (4410324), we get a palindrome (4234554324).

The spelling of 4230144000 in words is "four billion, two hundred thirty million, one hundred forty-four thousand".