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4144332324 = 2231131396457
BaseRepresentation
bin1111011100000101…
…0111111000100100
3101200211021220011210
43313001113320210
531441422113244
61523123231420
7204462146346
oct36701277044
911624256153
104144332324
111837405240
12977b18570
135107b7962
142b45a5296
15193c854b9
hexf7057e24

4144332324 has 24 divisors (see below), whose sum is σ = 10549209888. Its totient is φ = 1255858240.

The previous prime is 4144332323. The next prime is 4144332343. The reversal of 4144332324 is 4232334414.

It is a happy number.

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 = 4144332291 and 4144332300.

It is not an unprimeable number, because it can be changed into a prime (4144332323) 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, 15698097 + ... + 15698360.

It is an arithmetic number, because the mean of its divisors is an integer number (439550412).

Almost surely, 24144332324 is an apocalyptic number.

4144332324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4144332324 is an abundant number, since it is smaller than the sum of its proper divisors (6404877564).

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

4144332324 is a wasteful number, since it uses less digits than its factorization.

4144332324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31396475 (or 31396473 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 4144332324 is about 64376.4889070536. The cubic root of 4144332324 is about 1606.2686790684.

Adding to 4144332324 its reverse (4232334414), we get a palindrome (8376666738).

The spelling of 4144332324 in words is "four billion, one hundred forty-four million, three hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 31396457 62792914 94189371 125585828 188378742 345361027 376757484 690722054 1036083081 1381444108 2072166162 4144332324