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9421453440 = 27345723709
BaseRepresentation
bin10001100011000111…
…11111100010000000
3220022121010102110000
420301203333202000
5123243343002230
64154514240000
7452321014200
oct106143774200
926277112400
109421453440
113aa518a463
1219ab286000
13b71b93729
146553a2400
153a21cbb60
hex2318ff880

9421453440 has 480 divisors, whose sum is σ = 39149441100. Its totient is φ = 2152894464.

The previous prime is 9421453439. The next prime is 9421453451. The reversal of 9421453440 is 443541249.

It can be written as a sum of positive squares in 2 ways, for example, as 9073705536 + 347747904 = 95256^2 + 18648^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9421453395 and 9421453404.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2538306 + ... + 2542014.

Almost surely, 29421453440 is an apocalyptic number.

9421453440 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 9421453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19574720550).

9421453440 is an abundant number, since it is smaller than the sum of its proper divisors (29727987660).

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

9421453440 is a wasteful number, since it uses less digits than its factorization.

9421453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 9421453440 is about 97064.1717628085. The cubic root of 9421453440 is about 2112.0586244058.

Adding to 9421453440 its reverse (443541249), we get a palindrome (9864994689).

The spelling of 9421453440 in words is "nine billion, four hundred twenty-one million, four hundred fifty-three thousand, four hundred forty".