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40004004004 = 2210001001001
BaseRepresentation
bin100101010000011011…
…001010100010100100
310211020221120221221221
4211100123022202210
51123412011112004
630213320350124
72614223265166
oct452033124244
9124227527857
1040004004004
1115a69243338
127905315344
133a06b54bb3
141d16d30936
151092028354
hex9506ca8a4

40004004004 has 6 divisors (see below), whose sum is σ = 70007007014. Its totient is φ = 20002002000.

The previous prime is 40004003981. The next prime is 40004004011. The reversal of 40004004004 is 40040040004.

It can be written as a sum of positive squares in only one way, i.e., 25879156900 + 14124847104 = 160870^2 + 118848^2 .

40004004004 is a modest number, since divided by 4004004 gives 40 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000500497 + ... + 5000500504.

Almost surely, 240004004004 is an apocalyptic number.

It is an amenable number.

40004004004 is a deficient number, since it is larger than the sum of its proper divisors (30003003010).

40004004004 is a wasteful number, since it uses less digits than its factorization.

40004004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001001005 (or 10001001003 counting only the distinct ones).

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

Adding to 40004004004 its reverse (40040040004), we get a palindrome (80044044008).

It can be divided in two parts, 4000 and 4004004, that added together give a palindrome (4008004).

The spelling of 40004004004 in words is "forty billion, four million, four thousand, four", and thus it is an eban number.

Divisors: 1 2 4 10001001001 20002002002 40004004004