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9144421992 = 23331719532473
BaseRepresentation
bin10001000010000110…
…01100111001101000
3212121021211202202000
420201003030321220
5122211433000432
64111220411000
7442415206266
oct104103147150
925537752660
109144421992
113972873652
121932546a60
13b296782b4
1462a68b436
15387c0857c
hex2210cce68

9144421992 has 256 divisors, whose sum is σ = 28856736000. Its totient is φ = 2665488384.

The previous prime is 9144421991. The next prime is 9144421999. The reversal of 9144421992 is 2991244419.

It is a happy number.

9144421992 is a `hidden beast` number, since 9 + 14 + 442 + 199 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9144421991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3696468 + ... + 3698940.

It is an arithmetic number, because the mean of its divisors is an integer number (112721625).

Almost surely, 29144421992 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 9144421992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14428368000).

9144421992 is an abundant number, since it is smaller than the sum of its proper divisors (19712314008).

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

9144421992 is a wasteful number, since it uses less digits than its factorization.

9144421992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2567 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 9144421992 is about 95626.4711886829. The cubic root of 9144421992 is about 2091.1511246060.

The spelling of 9144421992 in words is "nine billion, one hundred forty-four million, four hundred twenty-one thousand, nine hundred ninety-two".