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1134144144 = 243271125143
BaseRepresentation
bin100001110011001…
…1010101010010000
32221001002111021200
41003212122222100
54310320103034
6304312351200
740051031460
oct10346325220
92831074250
101134144144
11532216311
122779a5500
13150c77013
14aa8a9ba0
156987ca99
hex4399aa90

1134144144 has 60 divisors (see below), whose sum is σ = 3627464256. Its totient is φ = 324040896.

The previous prime is 1134144127. The next prime is 1134144149. The reversal of 1134144144 is 4414414311.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1134144149) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 561564 + ... + 563579.

Almost surely, 21134144144 is an apocalyptic number.

1134144144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1134144144 is an abundant number, since it is smaller than the sum of its proper divisors (2493320112).

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

1134144144 is a wasteful number, since it uses less digits than its factorization.

1134144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125164 (or 1125155 counting only the distinct ones).

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

The square root of 1134144144 is about 33677.0566409833. The cubic root of 1134144144 is about 1042.8521757549.

Adding to 1134144144 its reverse (4414414311), we get a palindrome (5548558455).

The spelling of 1134144144 in words is "one billion, one hundred thirty-four million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1125143 2250286 3375429 4500572 6750858 7876001 9001144 10126287 13501716 15752002 18002288 20252574 23628003 27003432 31504004 40505148 47256006 54006864 63008008 70884009 81010296 94512012 126016016 141768018 162020592 189024024 283536036 378048048 567072072 1134144144