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4040000404 = 2211101909091
BaseRepresentation
bin1111000011001101…
…1000001110010100
3101102112222021200121
43300303120032110
531233220003104
61504515121324
7202054302556
oct36063301624
911375867617
104040000404
111793525110
12948ba3244
134c4cb84ab
142a47a74d6
15189a27254
hexf0cd8394

4040000404 has 24 divisors (see below), whose sum is σ = 7789100256. Its totient is φ = 1818180000.

The previous prime is 4040000401. The next prime is 4040000431.

4040000404 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040000401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450102 + ... + 458989.

It is an arithmetic number, because the mean of its divisors is an integer number (324545844).

Almost surely, 24040000404 is an apocalyptic number.

4040000404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4040000404 is a deficient number, since it is larger than the sum of its proper divisors (3749099852).

4040000404 is a wasteful number, since it uses less digits than its factorization.

4040000404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909207 (or 909205 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4040000404 is about 63560.9975063325. The cubic root of 4040000404 is about 1592.6749014470.

It can be divided in two parts, 4040000 and 404, that multiplied together give a square (1632160000 = 404002).

The spelling of 4040000404 in words is "four billion, forty million, four hundred four", and thus it is an aban number.

Divisors: 1 2 4 11 22 44 101 202 404 1111 2222 4444 909091 1818182 3636364 10000001 20000002 40000004 91818191 183636382 367272764 1010000101 2020000202 4040000404