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441440040 = 233515723431
BaseRepresentation
bin11010010011111…
…101011100101000
31010202122110220010
4122103331130220
51401002040130
6111445331520
713640115126
oct3223753450
91122573803
10441440040
112071aa488
12103a06ba0
13705c0732
14428b0916
1528b4c0b0
hex1a4fd728

441440040 has 64 divisors (see below), whose sum is σ = 1332812160. Its totient is φ = 116962560.

The previous prime is 441440039. The next prime is 441440047. The reversal of 441440040 is 40044144.

It is a junction number, because it is equal to n+sod(n) for n = 441439989 and 441440016.

It is not an unprimeable number, because it can be changed into a prime (441440047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7125 + ... + 30555.

It is an arithmetic number, because the mean of its divisors is an integer number (20825190).

Almost surely, 2441440040 is an apocalyptic number.

441440040 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 441440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666406080).

441440040 is an abundant number, since it is smaller than the sum of its proper divisors (891372120).

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

441440040 is a wasteful number, since it uses less digits than its factorization.

441440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23602 (or 23598 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 441440040 is about 21010.4745305764. The cubic root of 441440040 is about 761.4193467093.

Adding to 441440040 its reverse (40044144), we get a palindrome (481484184).

The spelling of 441440040 in words is "four hundred forty-one million, four hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 3140 3768 4710 6280 9420 18840 23431 46862 70293 93724 117155 140586 187448 234310 281172 351465 468620 562344 702930 937240 1405860 2811720 3678667 7357334 11036001 14714668 18393335 22072002 29429336 36786670 44144004 55180005 73573340 88288008 110360010 147146680 220720020 441440040