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1144132024 = 23789229561
BaseRepresentation
bin100010000110010…
…0001000110111000
32221201212221002011
41010030201012320
54320344211044
6305310415304
740231650610
oct10414410670
92851787064
101144132024
11537918362
1227b201534
131530631c9
14abd49a40
156a6a2134
hex443211b8

1144132024 has 32 divisors (see below), whose sum is σ = 2479269600. Its totient is φ = 484830720.

The previous prime is 1144132013. The next prime is 1144132027. The reversal of 1144132024 is 4202314411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1144131986 and 1144132004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144132027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109797 + ... + 119764.

It is an arithmetic number, because the mean of its divisors is an integer number (77477175).

Almost surely, 21144132024 is an apocalyptic number.

1144132024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1144132024 is an abundant number, since it is smaller than the sum of its proper divisors (1335137576).

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

1144132024 is a wasteful number, since it uses less digits than its factorization.

1144132024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229663 (or 229659 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1144132024 is about 33825.0206799641. The cubic root of 1144132024 is about 1045.9045376676.

Adding to 1144132024 its reverse (4202314411), we get a palindrome (5346446435).

The spelling of 1144132024 in words is "one billion, one hundred forty-four million, one hundred thirty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 89 178 356 623 712 1246 2492 4984 229561 459122 918244 1606927 1836488 3213854 6427708 12855416 20430929 40861858 81723716 143016503 163447432 286033006 572066012 1144132024