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10444152040241 = 2325113187137191
BaseRepresentation
bin1001011111111011011111…
…1110001110101100110001
31100222110011220122122202212
42113332313332032230301
52332104110410241431
634113551024421505
72125364552400563
oct227766776165461
940873156578685
1010444152040241
113367381603777
121208191477895
135a9b57b0225a
142816dd0ad333
15131a22acc72b
hex97fb7f8eb31

10444152040241 has 16 divisors (see below), whose sum is σ = 10942574404608. Its totient is φ = 9949430370000.

The previous prime is 10444152040219. The next prime is 10444152040249. The reversal of 10444152040241 is 14204025144401.

It is a cyclic number.

It is not a de Polignac number, because 10444152040241 - 26 = 10444152040177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10444152040198 and 10444152040207.

It is not an unprimeable number, because it can be changed into a prime (10444152040249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76059956 + ... + 76197146.

It is an arithmetic number, because the mean of its divisors is an integer number (683910900288).

Almost surely, 210444152040241 is an apocalyptic number.

It is an amenable number.

10444152040241 is a deficient number, since it is larger than the sum of its proper divisors (498422364367).

10444152040241 is a wasteful number, since it uses less digits than its factorization.

10444152040241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150652.

The product of its (nonzero) digits is 20480, while the sum is 32.

Adding to 10444152040241 its reverse (14204025144401), we get a palindrome (24648177184642).

The spelling of 10444152040241 in words is "ten trillion, four hundred forty-four billion, one hundred fifty-two million, forty thousand, two hundred forty-one".

Divisors: 1 23 251 5773 13187 137191 303301 3155393 3309937 34434941 76128551 792003643 1809137717 41610167491 454093566967 10444152040241