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4004440404 = 2236173137547
BaseRepresentation
bin1110111010101110…
…1110100101010100
3101100002001122112120
43232223232211110
531200114043104
61501205015540
7201143116236
oct35653564524
911302048476
104004440404
111775447388
129390b45b0
134ba817883
1429db8c256
15186850cd9
hexeeaee954

4004440404 has 96 divisors (see below), whose sum is σ = 9714961536. Its totient is φ = 1283143680.

The previous prime is 4004440339. The next prime is 4004440409. The reversal of 4004440404 is 4040444004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004440409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7320459 + ... + 7321005.

It is an arithmetic number, because the mean of its divisors is an integer number (101197516).

Almost surely, 24004440404 is an apocalyptic number.

It is an amenable number.

4004440404 is an abundant number, since it is smaller than the sum of its proper divisors (5710521132).

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

4004440404 is a wasteful number, since it uses less digits than its factorization.

4004440404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4004440404 is about 63280.6479423212. The cubic root of 4004440404 is about 1587.9882265791.

Adding to 4004440404 its reverse (4040444004), we get a palindrome (8044884408).

The spelling of 4004440404 in words is "four billion, four million, four hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 12 61 73 122 137 146 183 219 244 274 292 366 411 438 547 548 732 822 876 1094 1641 1644 2188 3282 4453 6564 8357 8906 10001 13359 16714 17812 20002 25071 26718 30003 33367 33428 39931 40004 50142 53436 60006 66734 74939 79862 100101 100284 119793 120012 133468 149878 159724 200202 224817 239586 299756 400404 449634 479172 610061 899268 1220122 1830183 2435791 2440244 3660366 4571279 4871582 5470547 7307373 7320732 9142558 9743164 10941094 13713837 14614746 16411641 18285116 21882188 27427674 29229492 32823282 54855348 65646564 333703367 667406734 1001110101 1334813468 2002220202 4004440404