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4109509404 = 22347111312671
BaseRepresentation
bin1111010011110010…
…0010001100011100
3101121101202201010000
43310330202030130
531404013300104
61515441014300
7203560152660
oct36474421434
911541681100
104109509404
111819790270
12968324390
13506514690
142adadc8a0
15190ba7639
hexf4f2231c

4109509404 has 240 divisors, whose sum is σ = 14425399296. Its totient is φ = 985219200.

The previous prime is 4109509381. The next prime is 4109509423. The reversal of 4109509404 is 4049059014.

It is a happy number.

4109509404 is a `hidden beast` number, since 4 + 109 + 509 + 40 + 4 = 666.

4109509404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 317989 + ... + 330659.

Almost surely, 24109509404 is an apocalyptic number.

4109509404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4109509404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212699648).

4109509404 is an abundant number, since it is smaller than the sum of its proper divisors (10315889892).

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

4109509404 is a wasteful number, since it uses less digits than its factorization.

4109509404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12718 (or 12707 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4109509404 is about 64105.4553372800. The cubic root of 4109509404 is about 1601.7571066330.

The spelling of 4109509404 in words is "four billion, one hundred nine million, five hundred nine thousand, four hundred four".