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444640140 = 2232572367229
BaseRepresentation
bin11010100000001…
…010101110001100
31010222200001121100
4122200022232030
51402311441030
6112042103100
714006243640
oct3240125614
91128601540
10444640140
11208a9579a
12104aaaa90
1371171199
14430a4c20
1529080360
hex1a80ab8c

444640140 has 288 divisors, whose sum is σ = 1639572480. Its totient is φ = 95344128.

The previous prime is 444640139. The next prime is 444640181. The reversal of 444640140 is 41046444.

444640140 is a `hidden beast` number, since 4 + 4 + 4 + 640 + 14 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1941546 + ... + 1941774.

It is an arithmetic number, because the mean of its divisors is an integer number (5692960).

Almost surely, 2444640140 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 444640140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819786240).

444640140 is an abundant number, since it is smaller than the sum of its proper divisors (1194932340).

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

444640140 is a wasteful number, since it uses less digits than its factorization.

444640140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 444640140 is about 21086.4918846166. The cubic root of 444640140 is about 763.2548196782.

Adding to 444640140 its reverse (41046444), we get a palindrome (485686584).

The spelling of 444640140 in words is "four hundred forty-four million, six hundred forty thousand, one hundred forty".