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9142705440 = 2533511421457
BaseRepresentation
bin10001000001111001…
…01001110100100000
3212121011121120002000
420200330221310200
5122211013033230
64111115524000
7442364466621
oct104074516440
925534546060
109142705440
113971900a10
121931a59600
13b291c6b9b
1462a361a48
153879b9b60
hex220f29d20

9142705440 has 384 divisors, whose sum is σ = 35067997440. Its totient is φ = 2206310400.

The previous prime is 9142705433. The next prime is 9142705463. The reversal of 9142705440 is 445072419.

It is a happy number.

9142705440 is a `hidden beast` number, since 9 + 1 + 42 + 70 + 544 + 0 = 666.

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 = 9142705395 and 9142705404.

It is an unprimeable number.

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, 20005692 + ... + 20006148.

It is an arithmetic number, because the mean of its divisors is an integer number (91322910).

Almost surely, 29142705440 is an apocalyptic number.

9142705440 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 9142705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17533998720).

9142705440 is an abundant number, since it is smaller than the sum of its proper divisors (25925292000).

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

9142705440 is a wasteful number, since it uses less digits than its factorization.

9142705440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 9142705440 is about 95617.4954702329. The cubic root of 9142705440 is about 2091.0202690863.

Adding to 9142705440 its reverse (445072419), we get a palindrome (9587777859).

The spelling of 9142705440 in words is "nine billion, one hundred forty-two million, seven hundred five thousand, four hundred forty".