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4408440000 = 26354172161
BaseRepresentation
bin1000001101100001…
…10111010011000000
3102101020020221210120
410012300313103000
533012030040000
62005240100240
7214150056516
oct40660672300
912336227716
104408440000
1119624a4248
12a30464680
135534297a3
142db6b44b6
151ac0546a0
hex106c374c0

4408440000 has 280 divisors, whose sum is σ = 15439845168. Its totient is φ = 1105920000.

The previous prime is 4408439993. The next prime is 4408440019. The reversal of 4408440000 is 448044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2038920 + ... + 2041080.

Almost surely, 24408440000 is an apocalyptic number.

4408440000 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 4408440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7719922584).

4408440000 is an abundant number, since it is smaller than the sum of its proper divisors (11031405168).

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

4408440000 is a wasteful number, since it uses less digits than its factorization.

4408440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4408440000 is about 66396.0842218877. The cubic root of 4408440000 is about 1639.6896101066.

Adding to 4408440000 its reverse (448044), we get a palindrome (4408888044).

The spelling of 4408440000 in words is "four billion, four hundred eight million, four hundred forty thousand".