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444801071 = 1113223101103
BaseRepresentation
bin11010100000110…
…010000000101111
31010222222020100202
4122200302000233
51402332113241
6112045344115
714010514061
oct3240620057
91128866322
10444801071
112090956a0
12104b6803b
13711c9500
1443107731
15290b2d9b
hex1a83202f

444801071 has 48 divisors (see below), whose sum is σ = 559084032. Its totient is φ = 350064000.

The previous prime is 444801041. The next prime is 444801079. The reversal of 444801071 is 170108444.

It is not a de Polignac number, because 444801071 - 210 = 444800047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444801079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4318406 + ... + 4318508.

It is an arithmetic number, because the mean of its divisors is an integer number (11647584).

Almost surely, 2444801071 is an apocalyptic number.

444801071 is a deficient number, since it is larger than the sum of its proper divisors (114282961).

444801071 is a wasteful number, since it uses less digits than its factorization.

444801071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 444801071 is about 21090.3075131682. The cubic root of 444801071 is about 763.3468915466.

The spelling of 444801071 in words is "four hundred forty-four million, eight hundred one thousand, seventy-one".

Divisors: 1 11 13 23 101 103 143 169 253 299 1111 1133 1313 1339 1859 2323 2369 3289 3887 10403 14443 14729 17069 17407 25553 26059 30199 30797 42757 114433 135239 187759 191477 239269 332189 338767 392587 400361 1487629 1758107 2631959 3110497 4318457 4403971 19339177 34215467 40436461 444801071