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2144124024 = 233746727329
BaseRepresentation
bin111111111001100…
…1011110001111000
312112102112210012220
41333303023301320
513342343432044
6552432004040
7104063516310
oct17763136170
95472483186
102144124024
11a00336129
124ba090620
13282299853
14164a94440
15c8381019
hex7fccbc78

2144124024 has 64 divisors (see below), whose sum is σ = 6139411200. Its totient is φ = 611272704.

The previous prime is 2144124001. The next prime is 2144124041. The reversal of 2144124024 is 4204214412.

2144124024 = 37872 + 37882 + ... + 39302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2144123985 and 2144124003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64792 + ... + 92120.

It is an arithmetic number, because the mean of its divisors is an integer number (95928300).

Almost surely, 22144124024 is an apocalyptic number.

2144124024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144124024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069705600).

2144124024 is an abundant number, since it is smaller than the sum of its proper divisors (3995287176).

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

2144124024 is a wasteful number, since it uses less digits than its factorization.

2144124024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27812 (or 27808 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2144124024 is about 46304.6868470137. The cubic root of 2144124024 is about 1289.4860088000.

Adding to 2144124024 its reverse (4204214412), we get a palindrome (6348338436).

The spelling of 2144124024 in words is "two billion, one hundred forty-four million, one hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 467 934 1401 1868 2802 3269 3736 5604 6538 9807 11208 13076 19614 26152 27329 39228 54658 78456 81987 109316 163974 191303 218632 327948 382606 573909 655896 765212 1147818 1530424 2295636 4591272 12762643 25525286 38287929 51050572 76575858 89338501 102101144 153151716 178677002 268015503 306303432 357354004 536031006 714708008 1072062012 2144124024