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1144211442241 = 7478341901763
BaseRepresentation
bin10000101001101000010…
…100010000101001000001
311001101102001200201220111
4100221220110100221001
5122221321112122431
62233350554111321
7145444424533420
oct20515024205101
94041361621814
101144211442241
11401291590a0a
1216590a11b541
1383b8b51169a
143d5471092b7
151eb6c0777b1
hex10a68510a41

1144211442241 has 16 divisors (see below), whose sum is σ = 1351583299584. Its totient is φ = 948320677584.

The previous prime is 1144211442181. The next prime is 1144211442277. The reversal of 1144211442241 is 1422441124411.

It is a happy number.

It is not a de Polignac number, because 1144211442241 - 27 = 1144211442113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1144211442841) 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 15 ways as a sum of consecutive naturals, for example, 20923575 + ... + 20978188.

It is an arithmetic number, because the mean of its divisors is an integer number (84473956224).

Almost surely, 21144211442241 is an apocalyptic number.

It is an amenable number.

1144211442241 is a deficient number, since it is larger than the sum of its proper divisors (207371857343).

1144211442241 is an equidigital number, since it uses as much as digits as its factorization.

1144211442241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41901900.

The product of its digits is 8192, while the sum is 31.

Adding to 1144211442241 its reverse (1422441124411), we get a palindrome (2566652566652).

The spelling of 1144211442241 in words is "one trillion, one hundred forty-four billion, two hundred eleven million, four hundred forty-two thousand, two hundred forty-one".

Divisors: 1 7 47 83 329 581 3901 27307 41901763 293312341 1969382861 3477846329 13785680027 24344924303 163458777463 1144211442241