Search a number
-
+
444404242420 = 225146271519123
BaseRepresentation
bin1100111011110001000…
…11101001011111110100
31120111002021222121021221
412131320203221133310
524240114441224140
6540053445120124
744051515506505
oct6357043513764
91514067877257
10444404242420
1116151a677a06
12721660b9044
1332ba3caa8b8
141771b670bac
15b85eda614a
hex67788e97f4

444404242420 has 24 divisors (see below), whose sum is σ = 933313326624. Its totient is φ = 177749426976.

The previous prime is 444404242367. The next prime is 444404242421. The reversal of 444404242420 is 24242404444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444404242421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 467022 + ... + 1052101.

It is an arithmetic number, because the mean of its divisors is an integer number (38888055276).

Almost surely, 2444404242420 is an apocalyptic number.

It is an amenable number.

444404242420 is an abundant number, since it is smaller than the sum of its proper divisors (488909084204).

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

444404242420 is a wasteful number, since it uses less digits than its factorization.

444404242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533759 (or 1533757 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 34.

Adding to 444404242420 its reverse (24242404444), we get a palindrome (468646646864).

The spelling of 444404242420 in words is "four hundred forty-four billion, four hundred four million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 14627 29254 58508 73135 146270 292540 1519123 3038246 6076492 7595615 15191230 30382460 22220212121 44440424242 88880848484 111101060605 222202121210 444404242420