Search a number
-
+
4044639744 = 2935192959
BaseRepresentation
bin1111000100010100…
…0100111000000000
3101102212200222200000
43301011010320000
531240411432434
61505202400000
7202141604415
oct36105047000
911385628600
104044639744
111796103782
1294a660000
134c5c51072
142a525410c
1518a141b99
hexf1144e00

4044639744 has 480 divisors, whose sum is σ = 13405392000. Its totient is φ = 1212309504.

The previous prime is 4044639743. The next prime is 4044639757. The reversal of 4044639744 is 4479364404.

4044639744 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 639 + 7 + 4 + 4 = 666.

It is a super-2 number, since 2×40446397442 = 32718221317488771072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4044639744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4044639743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68553187 + ... + 68553245.

It is an arithmetic number, because the mean of its divisors is an integer number (27927900).

Almost surely, 24044639744 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 4044639744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702696000).

4044639744 is an abundant number, since it is smaller than the sum of its proper divisors (9360752256).

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

4044639744 is an equidigital number, since it uses as much as digits as its factorization.

4044639744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 4044639744 is about 63597.4822143141. The cubic root of 4044639744 is about 1593.2843183668.

The spelling of 4044639744 in words is "four billion, forty-four million, six hundred thirty-nine thousand, seven hundred forty-four".