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4441023104 = 2778955691
BaseRepresentation
bin1000010001011010…
…01010001010000000
3102110111120100102012
410020231022022000
533043400214404
62012402312052
7215024034140
oct41055121200
912414510365
104441023104
111979929431
12a3b358628
1355a0c742b
14301b56920
151aed3da6e
hex108b4a280

4441023104 has 64 divisors (see below), whose sum is σ = 10225051200. Its totient is φ = 1881876480.

The previous prime is 4441023089. The next prime is 4441023107. The reversal of 4441023104 is 4013201444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 4441023104.

It is not an unprimeable number, because it can be changed into a prime (4441023107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51899 + ... + 107589.

It is an arithmetic number, because the mean of its divisors is an integer number (159766425).

Almost surely, 24441023104 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 4441023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112525600).

4441023104 is an abundant number, since it is smaller than the sum of its proper divisors (5784028096).

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

4441023104 is an equidigital number, since it uses as much as digits as its factorization.

4441023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55801 (or 55789 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4441023104 is about 66641.0016731441. The cubic root of 4441023104 is about 1643.7193870284.

Adding to 4441023104 its reverse (4013201444), we get a palindrome (8454224548).

The spelling of 4441023104 in words is "four billion, four hundred forty-one million, twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 128 178 224 356 448 623 712 896 1246 1424 2492 2848 4984 5696 9968 11392 19936 39872 55691 79744 111382 222764 389837 445528 779674 891056 1559348 1782112 3118696 3564224 4956499 6237392 7128448 9912998 12474784 19825996 24949568 34695493 39651992 49899136 69390986 79303984 138781972 158607968 277563944 317215936 555127888 634431872 1110255776 2220511552 4441023104