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1144423120 = 24514305289
BaseRepresentation
bin100010000110110…
…1000001011010000
32221202102201101111
41010031220023100
54320433014440
6305320543104
740234302361
oct10415501320
92852381344
101144423120
11537aa7035
1227b321a94
13153135859
14abdc3b68
156a70d4ea
hex443682d0

1144423120 has 20 divisors (see below), whose sum is σ = 2660783940. Its totient is φ = 457769216.

The previous prime is 1144423103. The next prime is 1144423129. The reversal of 1144423120 is 213244411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 347151424 + 797271696 = 18632^2 + 28236^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 1144423091 and 1144423100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144423129) 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 3 ways as a sum of consecutive naturals, for example, 7152565 + ... + 7152724.

It is an arithmetic number, because the mean of its divisors is an integer number (133039197).

Almost surely, 21144423120 is an apocalyptic number.

1144423120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144423120 is an abundant number, since it is smaller than the sum of its proper divisors (1516360820).

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

1144423120 is a wasteful number, since it uses less digits than its factorization.

1144423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14305302 (or 14305296 counting only the distinct ones).

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

The square root of 1144423120 is about 33829.3233748474. The cubic root of 1144423120 is about 1045.9932316306.

Adding to 1144423120 its reverse (213244411), we get a palindrome (1357667531).

The spelling of 1144423120 in words is "one billion, one hundred forty-four million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14305289 28610578 57221156 71526445 114442312 143052890 228884624 286105780 572211560 1144423120