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2144132023 = 11292415653
BaseRepresentation
bin111111111001100…
…1101101110110111
312112102120012012011
41333303031232313
513342344211043
6552432105051
7104063551525
oct17763155667
95472505164
102144132023
11a00341140
124ba095187
132822a0397
14164a97315
15c838359d
hex7fccdbb7

2144132023 has 24 divisors (see below), whose sum is σ = 2482015536. Its totient is φ = 1835769600.

The previous prime is 2144131999. The next prime is 2144132027. The reversal of 2144132023 is 3202314412.

It is not a de Polignac number, because 2144132023 - 25 = 2144131991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2144131985 and 2144132003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144132027) 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 23 ways as a sum of consecutive naturals, for example, 376465 + ... + 382117.

It is an arithmetic number, because the mean of its divisors is an integer number (103417314).

Almost surely, 22144132023 is an apocalyptic number.

2144132023 is a deficient number, since it is larger than the sum of its proper divisors (337883513).

2144132023 is a wasteful number, since it uses less digits than its factorization.

2144132023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5763 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2144132023 is about 46304.7732204791. The cubic root of 2144132023 is about 1289.4876123431.

Adding to 2144132023 its reverse (3202314412), we get a palindrome (5346446435).

The spelling of 2144132023 in words is "two billion, one hundred forty-four million, one hundred thirty-two thousand, twenty-three".

Divisors: 1 11 29 41 319 451 841 1189 5653 9251 13079 34481 62183 163937 231773 379291 1803307 2549503 4754173 6721417 52295903 73935587 194921093 2144132023