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4040104141031 = 72412011002559
BaseRepresentation
bin111010110010101000111…
…110001110000011100111
3112022020012210201011001212
4322302220332032003213
51012143113130003111
612331555340542035
7564613355404100
oct72625076160347
915266183634055
104040104141031
11131844250a382
12552bba85191b
13233c986115ba
14dd7836993a7
157015bbb398b
hex3aca8f8e0e7

4040104141031 has 12 divisors (see below), whose sum is σ = 4814340128640. Its totient is φ = 3378484297440.

The previous prime is 4040104141001. The next prime is 4040104141061. The reversal of 4040104141031 is 1301414010404.

4040104141031 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4040104141001) and next prime (4040104141061).

It is not a de Polignac number, because 4040104141031 - 26 = 4040104140967 is a prime.

It is a super-2 number, since 2×40401041410312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4040104140988 and 4040104141006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040104141001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1005499271 + ... + 1005503288.

It is an arithmetic number, because the mean of its divisors is an integer number (401195010720).

Almost surely, 24040104141031 is an apocalyptic number.

4040104141031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4040104141031 is a deficient number, since it is larger than the sum of its proper divisors (774235987609).

4040104141031 is a wasteful number, since it uses less digits than its factorization.

4040104141031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011002614 (or 2011002607 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 4040104141031 its reverse (1301414010404), we get a palindrome (5341518151435).

The spelling of 4040104141031 in words is "four trillion, forty billion, one hundred four million, one hundred forty-one thousand, thirty-one".

Divisors: 1 7 41 49 287 2009 2011002559 14077017913 82451104919 98539125391 577157734433 4040104141031