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1144324080 = 2432531167307
BaseRepresentation
bin100010000110100…
…1111111111110000
32221202020200112100
41010031033333300
54320421332310
6305314500400
740233410544
oct10415177760
92852220470
101144324080
11537a39689
1227b294700
131530cc753
14abd99a24
156a6ddec0
hex4434fff0

1144324080 has 240 divisors, whose sum is σ = 4003743744. Its totient is φ = 292584960.

The previous prime is 1144324073. The next prime is 1144324081. The reversal of 1144324080 is 804234411.

1144324080 is a `hidden beast` number, since 114 + 432 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144324081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3727287 + ... + 3727593.

Almost surely, 21144324080 is an apocalyptic number.

1144324080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144324080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001871872).

1144324080 is an abundant number, since it is smaller than the sum of its proper divisors (2859419664).

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

1144324080 is a wasteful number, since it uses less digits than its factorization.

1144324080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1144324080 is about 33827.8595243625. The cubic root of 1144324080 is about 1045.9630568475.

Adding to 1144324080 its reverse (804234411), we get a palindrome (1948558491).

The spelling of 1144324080 in words is "one billion, one hundred forty-four million, three hundred twenty-four thousand, eighty".