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4044980128 = 25728363809
BaseRepresentation
bin1111000100011001…
…0111111110100000
3101102220100021120211
43301012113332200
531241003331003
61505213543504
7202144522660
oct36106277640
911386307524
104044980128
111796316492
1294a7a4b94
134c603cc87
142a53021a0
1518a1ac96d
hexf1197fa0

4044980128 has 48 divisors (see below), whose sum is σ = 9133508160. Its totient is φ = 1727410176.

The previous prime is 4044980111. The next prime is 4044980179. The reversal of 4044980128 is 8210894404.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 31488 + ... + 95296.

It is an arithmetic number, because the mean of its divisors is an integer number (190281420).

Almost surely, 24044980128 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 4044980128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566754080).

4044980128 is an abundant number, since it is smaller than the sum of its proper divisors (5088528032).

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

4044980128 is a wasteful number, since it uses less digits than its factorization.

4044980128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64109 (or 64101 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 4044980128 is about 63600.1582387969. The cubic root of 4044980128 is about 1593.3290123577.

The spelling of 4044980128 in words is "four billion, forty-four million, nine hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 283 566 1132 1981 2264 3962 4528 7924 9056 15848 31696 63392 63809 127618 255236 446663 510472 893326 1020944 1786652 2041888 3573304 7146608 14293216 18057947 36115894 72231788 126405629 144463576 252811258 288927152 505622516 577854304 1011245032 2022490064 4044980128