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9442038144 = 273761119
BaseRepresentation
bin10001100101100101…
…00001000110000000
3220101000212020100110
420302302201012000
5123314130210034
64200531351320
7452661000000
oct106262410600
926330766313
109442038144
11400586a010
1219b6152540
13b76220026
14658000000
153a3de5de9
hex232ca1180

9442038144 has 448 divisors, whose sum is σ = 33600513600. Its totient is φ = 2323399680.

The previous prime is 9442038143. The next prime is 9442038157. The reversal of 9442038144 is 4418302449.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9442038143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 496949367 + ... + 496949385.

Almost surely, 29442038144 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 9442038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16800256800).

9442038144 is an abundant number, since it is smaller than the sum of its proper divisors (24158475456).

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

9442038144 is an frugal number, since it uses more digits than its factorization.

9442038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 9442038144 is about 97170.1504784262. The cubic root of 9442038144 is about 2113.5957006462.

The spelling of 9442038144 in words is "nine billion, four hundred forty-two million, thirty-eight thousand, one hundred forty-four".