Search a number
-
+
4442313434202 = 232735256455827
BaseRepresentation
bin100000010100100111010…
…0000111010010001011010
3120201200101110110020112200
41000221032200322101122
51040240324214343302
613240434241551030
7635642445111060
oct100511640722132
916650343406480
104442313434202
111462a7a1393a6
125b8b49945476
13262ba68861b7
1411501b038030
157a84c51281c
hex40a4e83a45a

4442313434202 has 24 divisors (see below), whose sum is σ = 11000014218336. Its totient is φ = 1269232409736.

The previous prime is 4442313434107. The next prime is 4442313434233. The reversal of 4442313434202 is 2024343132444.

4442313434202 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 3 + 13 + 434 + 202 = 666.

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 11 ways as a sum of consecutive naturals, for example, 17628227788 + ... + 17628228039.

It is an arithmetic number, because the mean of its divisors is an integer number (458333925764).

Almost surely, 24442313434202 is an apocalyptic number.

4442313434202 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4442313434202 is an abundant number, since it is smaller than the sum of its proper divisors (6557700784134).

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

4442313434202 is a wasteful number, since it uses less digits than its factorization.

4442313434202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35256455842 (or 35256455839 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4442313434202 its reverse (2024343132444), we get a palindrome (6466656566646).

The spelling of 4442313434202 in words is "four trillion, four hundred forty-two billion, three hundred thirteen million, four hundred thirty-four thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 35256455827 70512911654 105769367481 211538734962 246795190789 317308102443 493590381578 634616204886 740385572367 1480771144734 2221156717101 4442313434202