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10451354420240 = 245130641930253
BaseRepresentation
bin1001100000010110010101…
…0001001000010000010000
31101000010202212012110201122
42120011211101020100100
52332213333212421430
634121141432421412
72126041206536156
oct230054521102020
941003685173648
1010451354420240
11336a438116438
121209661547868
135aa735016876
14281bc386b3d6
15131ce5070ee5
hex98165448410

10451354420240 has 20 divisors (see below), whose sum is σ = 24299399027244. Its totient is φ = 4180541768064.

The previous prime is 10451354420153. The next prime is 10451354420357. The reversal of 10451354420240 is 4202445315401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4347608648464 + 6103745771776 = 2085092^2 + 2470576^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 10451354420240.

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 3 ways as a sum of consecutive naturals, for example, 65320965047 + ... + 65320965206.

Almost surely, 210451354420240 is an apocalyptic number.

10451354420240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10451354420240 is an abundant number, since it is smaller than the sum of its proper divisors (13848044607004).

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

10451354420240 is a wasteful number, since it uses less digits than its factorization.

10451354420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130641930266 (or 130641930260 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 10451354420240 its reverse (4202445315401), we get a palindrome (14653799735641).

The spelling of 10451354420240 in words is "ten trillion, four hundred fifty-one billion, three hundred fifty-four million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 130641930253 261283860506 522567721012 653209651265 1045135442024 1306419302530 2090270884048 2612838605060 5225677210120 10451354420240