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2144124456 = 233177174017
BaseRepresentation
bin111111111001100…
…1011111000101000
312112102112210210220
41333303023320220
513342343440311
6552432010040
7104063520465
oct17763137050
95472483726
102144124456
11a00336491
124ba090920
13282299ac6
14164a9466c
15c8381206
hex7fccbe28

2144124456 has 64 divisors (see below), whose sum is σ = 5755639680. Its totient is φ = 663183360.

The previous prime is 2144124413. The next prime is 2144124457. The reversal of 2144124456 is 6544214412.

It is not an unprimeable number, because it can be changed into a prime (2144124457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8041 + ... + 65976.

It is an arithmetic number, because the mean of its divisors is an integer number (89931870).

Almost surely, 22144124456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144124456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877819840).

2144124456 is an abundant number, since it is smaller than the sum of its proper divisors (3611515224).

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

2144124456 is a wasteful number, since it uses less digits than its factorization.

2144124456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74114 (or 74110 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 2144124456 is about 46304.6915117680. The cubic root of 2144124456 is about 1289.4860954023.

Adding to 2144124456 its reverse (6544214412), we get a palindrome (8688338868).

The spelling of 2144124456 in words is "two billion, one hundred forty-four million, one hundred twenty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 102 136 142 204 213 284 408 426 568 852 1207 1704 2414 3621 4828 7242 9656 14484 28968 74017 148034 222051 296068 444102 592136 888204 1258289 1776408 2516578 3774867 5033156 5255207 7549734 10066312 10510414 15099468 15765621 21020828 30198936 31531242 42041656 63062484 89338519 126124968 178677038 268015557 357354076 536031114 714708152 1072062228 2144124456