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444441471 = 31517971231
BaseRepresentation
bin11010011111011…
…010001101111111
31010222021222002020
4122133122031333
51402234111341
6112033531223
714004455505
oct3237321577
91128258066
10444441471
1120896a501
12104a13b13
1371101926
1443052675
1529041566
hex1a7da37f

444441471 has 16 divisors (see below), whose sum is σ = 597746688. Its totient is φ = 293724000.

The previous prime is 444441467. The next prime is 444441479. The reversal of 444441471 is 174144444.

It is not a de Polignac number, because 444441471 - 22 = 444441467 is a prime.

It is a super-3 number, since 3×4444414713 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444441479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360426 + ... + 361656.

It is an arithmetic number, because the mean of its divisors is an integer number (37359168).

Almost surely, 2444441471 is an apocalyptic number.

444441471 is a deficient number, since it is larger than the sum of its proper divisors (153305217).

444441471 is a wasteful number, since it uses less digits than its factorization.

444441471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182.

The product of its digits is 28672, while the sum is 33.

The square root of 444441471 is about 21081.7805462442. The cubic root of 444441471 is about 763.1411264930.

The spelling of 444441471 in words is "four hundred forty-four million, four hundred forty-one thousand, four hundred seventy-one".

Divisors: 1 3 151 453 797 1231 2391 3693 120347 185881 361041 557643 981107 2943321 148147157 444441471