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4032102431440 = 24550401280393
BaseRepresentation
bin111010101011001100000…
…010000111101011010000
3112021110120011002012001101
4322223030002013223100
51012030221210301230
612324153340314144
7564211154113516
oct72531402075320
915243504065041
104032102431440
111315006784546
12551546b42954
132332c19202b5
14dd224aa84b6
156ed3e47baca
hex3aacc087ad0

4032102431440 has 20 divisors (see below), whose sum is σ = 9374638153284. Its totient is φ = 1612840972544.

The previous prime is 4032102431431. The next prime is 4032102431449. The reversal of 4032102431440 is 441342012304.

It is an interprime number because it is at equal distance from previous prime (4032102431431) and next prime (4032102431449).

It can be written as a sum of positive squares in 2 ways, for example, as 1895512154176 + 2136590277264 = 1376776^2 + 1461708^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 4032102431399 and 4032102431408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032102431449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25200640117 + ... + 25200640276.

Almost surely, 24032102431440 is an apocalyptic number.

4032102431440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4032102431440 is an abundant number, since it is smaller than the sum of its proper divisors (5342535721844).

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

4032102431440 is a wasteful number, since it uses less digits than its factorization.

4032102431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50401280406 (or 50401280400 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4032102431440 its reverse (441342012304), we get a palindrome (4473444443744).

The spelling of 4032102431440 in words is "four trillion, thirty-two billion, one hundred two million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 50401280393 100802560786 201605121572 252006401965 403210243144 504012803930 806420486288 1008025607860 2016051215720 4032102431440