Search a number
-
+
4032231440 = 245401125693
BaseRepresentation
bin1111000001010110…
…1111100000010000
3101102000100120200012
43300111233200100
531224222401230
61504040414052
7201631254536
oct36025574020
911360316605
104032231440
11178a0a9186
12946477328
134c34c8283
142a3744156
15188ee0395
hexf056f810

4032231440 has 40 divisors (see below), whose sum is σ = 9398391768. Its totient is φ = 1608857600.

The previous prime is 4032231439. The next prime is 4032231443. The reversal of 4032231440 is 441322304.

It can be written as a sum of positive squares in 4 ways, for example, as 1875929344 + 2156302096 = 43312^2 + 46436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4032231443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30767 + ... + 94926.

Almost surely, 24032231440 is an apocalyptic number.

4032231440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4032231440 is an abundant number, since it is smaller than the sum of its proper divisors (5366160328).

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

4032231440 is a wasteful number, since it uses less digits than its factorization.

4032231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126107 (or 126101 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 4032231440 is about 63499.8538580995. The cubic root of 4032231440 is about 1591.6533360481.

Adding to 4032231440 its reverse (441322304), we get a palindrome (4473553744).

The spelling of 4032231440 in words is "four billion, thirty-two million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 401 802 1604 2005 3208 4010 6416 8020 16040 32080 125693 251386 502772 628465 1005544 1256930 2011088 2513860 5027720 10055440 50402893 100805786 201611572 252014465 403223144 504028930 806446288 1008057860 2016115720 4032231440