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2144114112 = 26371595323
BaseRepresentation
bin111111111001100…
…1001010111000000
312112102112021121210
41333303021113000
513342343122422
6552431450120
7104063445360
oct17763112700
95472467553
102144114112
11a00329738
124ba086940
1328229519a
14164a909a0
15c837d10c
hex7fcc95c0

2144114112 has 56 divisors (see below), whose sum is σ = 6483396736. Its totient is φ = 612603648.

The previous prime is 2144114111. The next prime is 2144114131. The reversal of 2144114112 is 2114114412.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144114111) 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 7 ways as a sum of consecutive naturals, for example, 796318 + ... + 799005.

Almost surely, 22144114112 is an apocalyptic number.

It is an amenable number.

2144114112 is an abundant number, since it is smaller than the sum of its proper divisors (4339282624).

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

2144114112 is a wasteful number, since it uses less digits than its factorization.

2144114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595345 (or 1595335 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 2144114112 is about 46304.5798166877. The cubic root of 2144114112 is about 1289.4840217562.

Adding to 2144114112 its reverse (2114114412), we get a palindrome (4258228524).

It can be divided in two parts, 21441 and 14112, that added together give a palindrome (35553).

The spelling of 2144114112 in words is "two billion, one hundred forty-four million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1595323 3190646 4785969 6381292 9571938 11167261 12762584 19143876 22334522 25525168 33501783 38287752 44669044 51050336 67003566 76575504 89338088 102100672 134007132 153151008 178676176 268014264 306302016 357352352 536028528 714704704 1072057056 2144114112