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444220144 = 24292693559
BaseRepresentation
bin11010011110100…
…100001011110000
31010221212201110221
4122132210023300
51402210021034
6112025102424
714002544314
oct3236441360
91127781427
10444220144
11208829195
12104927a14
1371054c74
1442dd5b44
1528eeabb4
hex1a7a42f0

444220144 has 40 divisors (see below), whose sum is σ = 893916000. Its totient is φ = 213593856.

The previous prime is 444220141. The next prime is 444220169. The reversal of 444220144 is 441022444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444220141) 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, 123037 + ... + 126595.

It is an arithmetic number, because the mean of its divisors is an integer number (22347900).

Almost surely, 2444220144 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 444220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446958000).

444220144 is an abundant number, since it is smaller than the sum of its proper divisors (449695856).

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

444220144 is a wasteful number, since it uses less digits than its factorization.

444220144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 444220144 is about 21076.5306442972. The cubic root of 444220144 is about 763.0144268094.

Adding to 444220144 its reverse (441022444), we get a palindrome (885242588).

The spelling of 444220144 in words is "four hundred forty-four million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 269 464 538 1076 2152 3559 4304 7118 7801 14236 15602 28472 31204 56944 62408 103211 124816 206422 412844 825688 957371 1651376 1914742 3829484 7658968 15317936 27763759 55527518 111055036 222110072 444220144