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144114241224 = 2337382256987
BaseRepresentation
bin1000011000110111100…
…0001100111011001000
3111202222120100222200210
42012031320030323020
54330121221204344
6150112152201120
713261166560452
oct2061570147310
9452876328623
10144114241224
11561338064a8
1223b1b6991a0
1310789072365
146d91bdd2d2
153b37010db9
hex218de0cec8

144114241224 has 32 divisors (see below), whose sum is σ = 365221026720. Its totient is φ = 47380023936.

The previous prime is 144114241217. The next prime is 144114241237. The reversal of 144114241224 is 422142411441.

It is a super-2 number, since 2×1441142412242 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 144114241191 and 144114241200.

It is an unprimeable number.

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, 41126742 + ... + 41130245.

It is an arithmetic number, because the mean of its divisors is an integer number (11413157085).

Almost surely, 2144114241224 is an apocalyptic number.

It is an amenable number.

144114241224 is an abundant number, since it is smaller than the sum of its proper divisors (221106785496).

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

144114241224 is a wasteful number, since it uses less digits than its factorization.

144114241224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82257069 (or 82257065 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

Adding to 144114241224 its reverse (422142411441), we get a palindrome (566256652665).

The spelling of 144114241224 in words is "one hundred forty-four billion, one hundred fourteen million, two hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1752 82256987 164513974 246770961 329027948 493541922 658055896 987083844 1974167688 6004760051 12009520102 18014280153 24019040204 36028560306 48038080408 72057120612 144114241224