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409141044 = 22361343251
BaseRepresentation
bin11000011000101…
…111111100110100
31001111212112000000
4120120233330310
51314220003134
6104333151300
713065433014
oct3030577464
91044775000
10409141044
1119aa497a4
12b502b530
13669c21c0
143c4a3c44
1525dbbe99
hex1862ff34

409141044 has 168 divisors, whose sum is σ = 1187680032. Its totient is φ = 122472000.

The previous prime is 409141039. The next prime is 409141081. The reversal of 409141044 is 440141904.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 409140999 and 409141017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1629919 + ... + 1630169.

It is an arithmetic number, because the mean of its divisors is an integer number (7069524).

Almost surely, 2409141044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409141044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593840016).

409141044 is an abundant number, since it is smaller than the sum of its proper divisors (778538988).

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

409141044 is a wasteful number, since it uses less digits than its factorization.

409141044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 409141044 is about 20227.2352040510. The cubic root of 409141044 is about 742.3767288467.

Adding to 409141044 its reverse (440141904), we get a palindrome (849282948).

The spelling of 409141044 in words is "four hundred nine million, one hundred forty-one thousand, forty-four".