Search a number
-
+
4404011040 = 2533511137129
BaseRepresentation
bin1000001100111111…
…11110000000100000
3102100220220221102000
410012133332000200
533004411323130
62005001124000
7214064322222
oct40637760040
912326827360
104404011040
11195aa49750
12a2aa89600
135525388c0
142dac80412
151ab97c260
hex1067fe020

4404011040 has 384 divisors, whose sum is σ = 18111340800. Its totient is φ = 985374720.

The previous prime is 4404011033. The next prime is 4404011047. The reversal of 4404011040 is 401104044.

It is an interprime number because it is at equal distance from previous prime (4404011033) and next prime (4404011047).

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

It is not an unprimeable number, because it can be changed into a prime (4404011047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 614196 + ... + 621324.

It is an arithmetic number, because the mean of its divisors is an integer number (47164950).

Almost surely, 24404011040 is an apocalyptic number.

4404011040 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 4404011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9055670400).

4404011040 is an abundant number, since it is smaller than the sum of its proper divisors (13707329760).

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

4404011040 is a wasteful number, since it uses less digits than its factorization.

4404011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7177 (or 7163 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4404011040 is about 66362.7232714270. The cubic root of 4404011040 is about 1639.1403188207.

Adding to 4404011040 its reverse (401104044), we get a palindrome (4805115084).

The spelling of 4404011040 in words is "four billion, four hundred four million, eleven thousand, forty".