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2014000144 = 24139682693
BaseRepresentation
bin111100000001011…
…0011010000010000
312012100200210210221
41320002303100100
513111041001034
6531503002424
7100623501352
oct17002632020
95170623727
102014000144
1194393a132
12482599414
13261339880
141516a10d2
15bbc2abb4
hex780b3410

2014000144 has 20 divisors (see below), whose sum is σ = 4202289196. Its totient is φ = 929538432.

The previous prime is 2014000141. The next prime is 2014000151. The reversal of 2014000144 is 4410004102.

It can be written as a sum of positive squares in 2 ways, for example, as 166719744 + 1847280400 = 12912^2 + 42980^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2014000141) 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, 4841139 + ... + 4841554.

Almost surely, 22014000144 is an apocalyptic number.

It is an amenable number.

2014000144 is an abundant number, since it is smaller than the sum of its proper divisors (2188289052).

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

2014000144 is a wasteful number, since it uses less digits than its factorization.

2014000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9682714 (or 9682708 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2014000144 is about 44877.6129489972. The cubic root of 2014000144 is about 1262.8540627579.

Adding to 2014000144 its reverse (4410004102), we get a palindrome (6424004246).

The spelling of 2014000144 in words is "two billion, fourteen million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 52 104 208 9682693 19365386 38730772 77461544 125875009 154923088 251750018 503500036 1007000072 2014000144