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444414414324 = 2231714914620819
BaseRepresentation
bin1100111011110010010…
…10011100110111110100
31120111010000010101112010
412131321022130313310
524240130042224244
6540054451124220
744052001123266
oct6357112346764
91514100111463
10444414414324
11161525395241
12721695a3670
1332ba612c78a
141771cb5bb36
15b860c14eb9
hex677929cdf4

444414414324 has 48 divisors (see below), whose sum is σ = 1105333992000. Its totient is φ = 138488388096.

The previous prime is 444414414313. The next prime is 444414414361. The reversal of 444414414324 is 423414414444.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7280014 + ... + 7340805.

It is an arithmetic number, because the mean of its divisors is an integer number (23027791500).

Almost surely, 2444414414324 is an apocalyptic number.

It is an amenable number.

444414414324 is an abundant number, since it is smaller than the sum of its proper divisors (660919577676).

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

444414414324 is a wasteful number, since it uses less digits than its factorization.

444414414324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14620992 (or 14620990 counting only the distinct ones).

The product of its digits is 393216, while the sum is 39.

Adding to 444414414324 its reverse (423414414444), we get a palindrome (867828828768).

The spelling of 444414414324 in words is "four hundred forty-four billion, four hundred fourteen million, four hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 149 204 298 447 596 894 1788 2533 5066 7599 10132 15198 30396 14620819 29241638 43862457 58483276 87724914 175449828 248553923 497107846 745661769 994215692 1491323538 2178502031 2982647076 4357004062 6535506093 8714008124 13071012186 26142024372 37034534527 74069069054 111103603581 148138138108 222207207162 444414414324