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10045440353 = 1319317871667
BaseRepresentation
bin10010101101100000…
…10100000101100001
3221221002021020120102
421112300110011201
5131033113042403
64340444352145
7503635556054
oct112660240541
927832236512
1010045440353
114295431023
121b44245655
13c4123a360
146b41d0a9b
153dbd86b88
hex256c14161

10045440353 has 32 divisors (see below), whose sum is σ = 11776880640. Its totient is φ = 8485404480.

The previous prime is 10045440347. The next prime is 10045440373. The reversal of 10045440353 is 35304454001.

It is a cyclic number.

It is not a de Polignac number, because 10045440353 - 24 = 10045440337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10045440373) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6025226 + ... + 6026892.

It is an arithmetic number, because the mean of its divisors is an integer number (368027520).

Almost surely, 210045440353 is an apocalyptic number.

10045440353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10045440353 is a deficient number, since it is larger than the sum of its proper divisors (1731440287).

10045440353 is a wasteful number, since it uses less digits than its factorization.

10045440353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517.

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 10045440353 its reverse (35304454001), we get a palindrome (45349894354).

The spelling of 10045440353 in words is "ten billion, forty-five million, four hundred forty thousand, three hundred fifty-three".

Divisors: 1 13 19 31 247 403 589 787 1667 7657 10231 14953 21671 24397 31673 51677 194389 317161 411749 463543 671801 981863 1311929 6026059 12764219 17055077 24926651 40669799 324046463 528707387 772726181 10045440353