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4144324420 = 2251812774133
BaseRepresentation
bin1111011100000101…
…0101111101000100
3101200211021111100001
43313001111331010
531441421340140
61523123131044
7204462114325
oct36701257504
911624244301
104144324420
1118373aa305
12977b13a84
135107b4192
142b45a244c
15193c82e9a
hexf7055f44

4144324420 has 48 divisors (see below), whose sum is σ = 8784882288. Its totient is φ = 1642222080.

The previous prime is 4144324417. The next prime is 4144324439. The reversal of 4144324420 is 244234414.

It can be written as a sum of positive squares in 8 ways, for example, as 832091716 + 3312232704 = 28846^2 + 57552^2 .

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 15 ways as a sum of consecutive naturals, for example, 1000674 + ... + 1004806.

It is an arithmetic number, because the mean of its divisors is an integer number (183018381).

Almost surely, 24144324420 is an apocalyptic number.

It is an amenable number.

4144324420 is an abundant number, since it is smaller than the sum of its proper divisors (4640557868).

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

4144324420 is a wasteful number, since it uses less digits than its factorization.

4144324420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4144324420 is about 64376.4275181529. The cubic root of 4144324420 is about 1606.2676579183.

Adding to 4144324420 its reverse (244234414), we get a palindrome (4388558834).

The spelling of 4144324420 in words is "four billion, one hundred forty-four million, three hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 181 277 362 554 724 905 1108 1385 1810 2770 3620 4133 5540 8266 16532 20665 41330 50137 82660 100274 200548 250685 501370 748073 1002740 1144841 1496146 2289682 2992292 3740365 4579364 5724205 7480730 11448410 14961460 22896820 207216221 414432442 828864884 1036081105 2072162210 4144324420