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4032400041 = 32448044449
BaseRepresentation
bin1111000001011001…
…1000101010101001
3101102000200010221200
43300112120222221
531224243300131
61504044154413
7201632556225
oct36026305251
911360603850
104032400041
11178a20391a
12946538a09
134c3556c37
142a3789785
151890252e6
hexf0598aa9

4032400041 has 6 divisors (see below), whose sum is σ = 5824577850. Its totient is φ = 2688266688.

The previous prime is 4032400037. The next prime is 4032400067. The reversal of 4032400041 is 1400042304.

It can be written as a sum of positive squares in only one way, i.e., 3178591641 + 853808400 = 56379^2 + 29220^2 .

It is not a de Polignac number, because 4032400041 - 22 = 4032400037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4032399987 and 4032400023.

It is not an unprimeable number, because it can be changed into a prime (4032400741) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 224022216 + ... + 224022233.

It is an arithmetic number, because the mean of its divisors is an integer number (970762975).

Almost surely, 24032400041 is an apocalyptic number.

It is an amenable number.

4032400041 is a deficient number, since it is larger than the sum of its proper divisors (1792177809).

4032400041 is a wasteful number, since it uses less digits than its factorization.

4032400041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448044455 (or 448044452 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4032400041 is about 63501.1814142068. The cubic root of 4032400041 is about 1591.6755198445.

Adding to 4032400041 its reverse (1400042304), we get a palindrome (5432442345).

The spelling of 4032400041 in words is "four billion, thirty-two million, four hundred thousand, forty-one".

Divisors: 1 3 9 448044449 1344133347 4032400041