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444132140 = 225174727793
BaseRepresentation
bin11010011110001…
…110101100101100
31010221201020202112
4122132032230230
51402144212030
6112023143152
714002026614
oct3236165454
91127636675
10444132140
11208779061
121048a4ab8
1371023baa
1442db1a44
1528ecea95
hex1a78eb2c

444132140 has 48 divisors (see below), whose sum is σ = 1008588672. Its totient is φ = 163639296.

The previous prime is 444132113. The next prime is 444132151. The reversal of 444132140 is 41231444.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2084 + ... + 29876.

It is an arithmetic number, because the mean of its divisors is an integer number (21012264).

Almost surely, 2444132140 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 444132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504294336).

444132140 is an abundant number, since it is smaller than the sum of its proper divisors (564456532).

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

444132140 is a wasteful number, since it uses less digits than its factorization.

444132140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27866 (or 27864 counting only the distinct ones).

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

The square root of 444132140 is about 21074.4428158848. The cubic root of 444132140 is about 762.9640368115.

Adding to 444132140 its reverse (41231444), we get a palindrome (485363584).

The spelling of 444132140 in words is "four hundred forty-four million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 470 799 940 1598 3196 3995 7990 15980 27793 55586 111172 138965 277930 472481 555860 944962 1306271 1889924 2362405 2612542 4724810 5225084 6531355 9449620 13062710 22206607 26125420 44413214 88826428 111033035 222066070 444132140