Search a number
-
+
4320224241444 = 2232177059189937
BaseRepresentation
bin111110110111100001011…
…011100110011100100100
3120022000020212002122100200
4332313201123212130210
51031240304401211234
613104403354510500
7624061120102506
oct76674133463444
916260225078320
104320224241444
111416218a578a1
12599356435430
1325451a8c60c7
1410d158459d76
15775a3e2bd99
hex3ede16e6724

4320224241444 has 36 divisors (see below), whose sum is σ = 11562953118444. Its totient is φ = 1355364467712.

The previous prime is 4320224241439. The next prime is 4320224241497. The reversal of 4320224241444 is 4441424220234.

4320224241444 is a `hidden beast` number, since 4 + 3 + 202 + 2 + 4 + 2 + 4 + 1 + 444 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3023905367844 + 1296318873600 = 1738938^2 + 1138560^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4320224241399 and 4320224241408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3529594357 + ... + 3529595580.

It is an arithmetic number, because the mean of its divisors is an integer number (321193142179).

Almost surely, 24320224241444 is an apocalyptic number.

It is an amenable number.

4320224241444 is an abundant number, since it is smaller than the sum of its proper divisors (7242728877000).

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

4320224241444 is a wasteful number, since it uses less digits than its factorization.

4320224241444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7059189964 (or 7059189959 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4320224241444 its reverse (4441424220234), we get a palindrome (8761648461678).

The spelling of 4320224241444 in words is "four trillion, three hundred twenty billion, two hundred twenty-four million, two hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 7059189937 14118379874 21177569811 28236759748 42355139622 63532709433 84710279244 120006228929 127065418866 240012457858 254130837732 360018686787 480024915716 720037373574 1080056060361 1440074747148 2160112120722 4320224241444