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444716041 = 71155710369
BaseRepresentation
bin11010100000011…
…101010000001001
31010222210220201111
4122200131100021
51402321403131
6112043450321
714010011140
oct3240352011
91128726644
10444716041
11209037820
12104b269a1
13711998b3
14430c4757
1529097ab1
hex1a81d409

444716041 has 16 divisors (see below), whose sum is σ = 555500160. Its totient is φ = 345876480.

The previous prime is 444715961. The next prime is 444716087. The reversal of 444716041 is 140617444.

It is a cyclic number.

It is not a de Polignac number, because 444716041 - 223 = 436327433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444715994 and 444716012.

It is not an unprimeable number, because it can be changed into a prime (444716341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37705 + ... + 48073.

It is an arithmetic number, because the mean of its divisors is an integer number (34718760).

Almost surely, 2444716041 is an apocalyptic number.

It is an amenable number.

444716041 is a deficient number, since it is larger than the sum of its proper divisors (110784119).

444716041 is a wasteful number, since it uses less digits than its factorization.

444716041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10944.

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 444716041 is about 21088.2915619070. The cubic root of 444716041 is about 763.2982469375.

The spelling of 444716041 in words is "four hundred forty-four million, seven hundred sixteen thousand, forty-one".

Divisors: 1 7 11 77 557 3899 6127 10369 42889 72583 114059 798413 5775533 40428731 63530863 444716041