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444420311 = 7141914939
BaseRepresentation
bin11010011111010…
…101000011010111
31010222020220001112
4122133111003113
51402232422221
6112033245235
714004340016
oct3237250327
91128226045
10444420311
11208955615
12104a0381b
13710c50ca
1443048a7d
152903a15b
hex1a7d50d7

444420311 has 8 divisors (see below), whose sum is σ = 451785600. Its totient is φ = 437085880.

The previous prime is 444420271. The next prime is 444420337. The reversal of 444420311 is 113024444.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444420311 is a prime.

It is a super-3 number, since 3×4444203113 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444428311) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22280 + ... + 37218.

It is an arithmetic number, because the mean of its divisors is an integer number (56473200).

Almost surely, 2444420311 is an apocalyptic number.

444420311 is a deficient number, since it is larger than the sum of its proper divisors (7365289).

444420311 is a wasteful number, since it uses less digits than its factorization.

444420311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15429.

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 444420311 is about 21081.2786851272. The cubic root of 444420311 is about 763.1290151701.

Adding to 444420311 its reverse (113024444), we get a palindrome (557444755).

The spelling of 444420311 in words is "four hundred forty-four million, four hundred twenty thousand, three hundred eleven".

Divisors: 1 71 419 14939 29749 1060669 6259441 444420311