Search a number
-
+
4474046404744 = 23723431812631697
BaseRepresentation
bin100000100011011000111…
…1100100101100010001000
3120211201021222122011120221
41001012301330211202020
51041300321334422434
613303203141355424
7641145016652140
oct101066174454210
916751258564527
104474046404744
111475483614894
12603125108b74
13265b92c9c947
1411678b6ab920
157b5a83542b4
hex411b1f25888

4474046404744 has 256 divisors, whose sum is σ = 10338515066880. Its totient is φ = 1773710991360.

The previous prime is 4474046404727. The next prime is 4474046404799.

It is a happy number.

4474046404744 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4474046404691 and 4474046404700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2636443704 + ... + 2636445400.

It is an arithmetic number, because the mean of its divisors is an integer number (40384824480).

Almost surely, 24474046404744 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 4474046404744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169257533440).

4474046404744 is an abundant number, since it is smaller than the sum of its proper divisors (5864468662136).

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

4474046404744 is a wasteful number, since it uses less digits than its factorization.

4474046404744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 19267584, while the sum is 52.

The spelling of 4474046404744 in words is "four trillion, four hundred seventy-four billion, forty-six million, four hundred four thousand, seven hundred forty-four".