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2144132424 = 233371418077
BaseRepresentation
bin111111111001100…
…1101110101001000
312112102120012202000
41333303031311020
513342344214144
6552432111000
7104063552640
oct17763156510
95472505660
102144132424
11a00341475
124ba095460
132822a0615
14164a97520
15c8383769
hex7fccdd48

2144132424 has 64 divisors (see below), whose sum is σ = 6806774400. Its totient is φ = 612608832.

The previous prime is 2144132423. The next prime is 2144132449. The reversal of 2144132424 is 4242314412.

2144132424 is a `hidden beast` number, since 2 + 1 + 4 + 413 + 242 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (2144132423) 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, 707527 + ... + 710550.

It is an arithmetic number, because the mean of its divisors is an integer number (106355850).

Almost surely, 22144132424 is an apocalyptic number.

2144132424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2144132424 is an abundant number, since it is smaller than the sum of its proper divisors (4662641976).

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

2144132424 is a wasteful number, since it uses less digits than its factorization.

2144132424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418099 (or 1418089 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2144132424 is about 46304.7775504861. Note that the first 3 decimals coincide. The cubic root of 2144132424 is about 1289.4876927306.

Adding to 2144132424 its reverse (4242314412), we get a palindrome (6386446836).

The spelling of 2144132424 in words is "two billion, one hundred forty-four million, one hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 1418077 2836154 4254231 5672308 8508462 9926539 11344616 12762693 17016924 19853078 25525386 29779617 34033848 38288079 39706156 51050772 59559234 76576158 79412312 89338851 102101544 119118468 153152316 178677702 238236936 268016553 306304632 357355404 536033106 714710808 1072066212 2144132424