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9042042240 = 27325711192937
BaseRepresentation
bin10000110101111001…
…01001110110000000
3212100011012100010100
420122330221312000
5122004230322430
64053122202400
7440033043120
oct103274516600
925304170110
109042042240
11391aaa7190
1219041b3400
13b113b056a
1461ac3ac80
1537dc33960
hex21af29d80

9042042240 has 1536 divisors, whose sum is σ = 43535232000. Its totient is φ = 1672151040.

The previous prime is 9042042239. The next prime is 9042042257. The reversal of 9042042240 is 422402409.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 244379502 + ... + 244379538.

It is an arithmetic number, because the mean of its divisors is an integer number (28343250).

Almost surely, 29042042240 is an apocalyptic number.

9042042240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9042042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21767616000).

9042042240 is an abundant number, since it is smaller than the sum of its proper divisors (34493189760).

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

9042042240 is a wasteful number, since it uses less digits than its factorization.

9042042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 9042042240 is about 95089.6536958675. The cubic root of 9042042240 is about 2083.3177328041.

Adding to 9042042240 its reverse (422402409), we get a palindrome (9464444649).

The spelling of 9042042240 in words is "nine billion, forty-two million, forty-two thousand, two hundred forty".