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1144114120 = 23528602853
BaseRepresentation
bin100010000110001…
…1100101111001000
32221201212000112001
41010030130233020
54320343122440
6305310200344
740231544452
oct10414345710
92851760461
101144114120
11537905966
1227b1b30b4
13153058006
14abd432d2
156a69bb9a
hex4431cbc8

1144114120 has 16 divisors (see below), whose sum is σ = 2574256860. Its totient is φ = 457645632.

The previous prime is 1144114099. The next prime is 1144114183. The reversal of 1144114120 is 214114411.

It can be written as a sum of positive squares in 2 ways, for example, as 1106094564 + 38019556 = 33258^2 + 6166^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 14301387 + ... + 14301466.

Almost surely, 21144114120 is an apocalyptic number.

1144114120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144114120 is an abundant number, since it is smaller than the sum of its proper divisors (1430142740).

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

1144114120 is a wasteful number, since it uses less digits than its factorization.

1144114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28602864 (or 28602860 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 1144114120 is about 33824.7560227713. The cubic root of 1144114120 is about 1045.8990820115.

Adding to 1144114120 its reverse (214114411), we get a palindrome (1358228531).

The spelling of 1144114120 in words is "one billion, one hundred forty-four million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 28602853 57205706 114411412 143014265 228822824 286028530 572057060 1144114120