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444142320 = 24351850593
BaseRepresentation
bin11010011110010…
…001001011110000
31010221201202201120
4122132101023300
51402200023240
6112023302240
714002101366
oct3236211360
91127652646
10444142320
11208785776
121048aa980
137102870b
1442db5636
1528ed2ad0
hex1a7912f0

444142320 has 40 divisors (see below), whose sum is σ = 1376841936. Its totient is φ = 118437888.

The previous prime is 444142297. The next prime is 444142343. The reversal of 444142320 is 23241444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (444142297) and next prime (444142343).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 925057 + ... + 925536.

Almost surely, 2444142320 is an apocalyptic number.

444142320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444142320 is an abundant number, since it is smaller than the sum of its proper divisors (932699616).

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

444142320 is a wasteful number, since it uses less digits than its factorization.

444142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850609 (or 1850603 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 444142320 is about 21074.6843392730. The cubic root of 444142320 is about 762.9698660936.

Adding to 444142320 its reverse (23241444), we get a palindrome (467383764).

The spelling of 444142320 in words is "four hundred forty-four million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1850593 3701186 5551779 7402372 9252965 11103558 14804744 18505930 22207116 27758895 29609488 37011860 44414232 55517790 74023720 88828464 111035580 148047440 222071160 444142320