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1353543532240 = 24516919294153
BaseRepresentation
bin10011101100100101011…
…110110011111011010000
311210101201202221201020211
4103230211132303323100
5134134024121012430
62513450451213504
7166535033123044
oct23544536637320
94711652851224
101353543532240
11482042045489
1219a3aaba7294
139a83c035cb3
144972476a024
152531e92572a
hex13b257b3ed0

1353543532240 has 20 divisors (see below), whose sum is σ = 3146988712644. Its totient is φ = 541417412864.

The previous prime is 1353543532223. The next prime is 1353543532241. The reversal of 1353543532240 is 422353453531.

It can be written as a sum of positive squares in 2 ways, for example, as 303279301264 + 1050264230976 = 550708^2 + 1024824^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1353543532193 and 1353543532202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353543532241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8459646997 + ... + 8459647156.

Almost surely, 21353543532240 is an apocalyptic number.

1353543532240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353543532240 is an abundant number, since it is smaller than the sum of its proper divisors (1793445180404).

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

1353543532240 is a wasteful number, since it uses less digits than its factorization.

1353543532240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16919294166 (or 16919294160 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

Adding to 1353543532240 its reverse (422353453531), we get a palindrome (1775896985771).

The spelling of 1353543532240 in words is "one trillion, three hundred fifty-three billion, five hundred forty-three million, five hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 16919294153 33838588306 67677176612 84596470765 135354353224 169192941530 270708706448 338385883060 676771766120 1353543532240