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4430039040 = 21134572109
BaseRepresentation
bin1000010000000110…
…10000100000000000
3102102201220022010000
410020003100200000
533033042222130
62011331040000
7214531465500
oct41003204000
912381808100
104430039040
111973706999
12a37740000
13557a4c99b
143004d7a00
151addbe260
hex1080d0800

4430039040 has 720 divisors, whose sum is σ = 18640521900. Its totient is φ = 1003290624.

The previous prime is 4430039023. The next prime is 4430039059. The reversal of 4430039040 is 409300344.

It can be written as a sum of positive squares in 2 ways, for example, as 4425974784 + 4064256 = 66528^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 4430038995 and 4430039013.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40642506 + ... + 40642614.

Almost surely, 24430039040 is an apocalyptic number.

4430039040 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 4430039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9320260950).

4430039040 is an abundant number, since it is smaller than the sum of its proper divisors (14210482860).

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

4430039040 is a wasteful number, since it uses less digits than its factorization.

4430039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4430039040 is about 66558.5384454917. The cubic root of 4430039040 is about 1642.3631211386.

Adding to 4430039040 its reverse (409300344), we get a palindrome (4839339384).

The spelling of 4430039040 in words is "four billion, four hundred thirty million, thirty-nine thousand, forty".