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4080400129 = 131733135573
BaseRepresentation
bin1111001100110101…
…1111011100000001
3101112100222210200201
43303031133130001
531324040301004
61512521045201
7203054554201
oct36315373401
911470883621
104080400129
111804309013
1295a626801
13500491c60
142a9cc2401
1518d3576a4
hexf335f701

4080400129 has 16 divisors (see below), whose sum is σ = 4655003472. Its totient is φ = 3543257088.

The previous prime is 4080400109. The next prime is 4080400139. The reversal of 4080400129 is 9210040804.

4080400129 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 27804529 + 4052595600 = 5273^2 + 63660^2 .

It is a cyclic number.

It is not a de Polignac number, because 4080400129 - 225 = 4046845697 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4080400097 and 4080400106.

It is not an unprimeable number, because it can be changed into a prime (4080400109) 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, 729387 + ... + 734959.

It is an arithmetic number, because the mean of its divisors is an integer number (290937717).

Almost surely, 24080400129 is an apocalyptic number.

It is an amenable number.

4080400129 is a deficient number, since it is larger than the sum of its proper divisors (574603343).

4080400129 is a wasteful number, since it uses less digits than its factorization.

4080400129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8916.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 4080400129 is about 63878.0097451384. The cubic root of 4080400129 is about 1597.9661826341.

The spelling of 4080400129 in words is "four billion, eighty million, four hundred thousand, one hundred twenty-nine".

Divisors: 1 13 17 221 3313 5573 43069 56321 72449 94741 732173 1231633 18463349 240023537 313876933 4080400129