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444424024404 = 22334395698541
BaseRepresentation
bin1100111011110011011…
…11000111000101010100
31120111010200012122002000
412131321233013011110
524240140022240104
6540055433115300
744052145610103
oct6357157070524
91514120178060
10444424024404
1116152a859458
1272170858b30
1332ba8115a09
141772014003a
15b8619b2639
hex6779bc7154

444424024404 has 48 divisors (see below), whose sum is σ = 1179006037440. Its totient is φ = 144696192480.

The previous prime is 444424024351. The next prime is 444424024453. The reversal of 444424024404 is 404420424444.

444424024404 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 240 + 2 + 4 + 404 = 666.

It is a super-3 number, since 3×4444240244043 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47844627 + ... + 47853914.

It is an arithmetic number, because the mean of its divisors is an integer number (24562625780).

Almost surely, 2444424024404 is an apocalyptic number.

It is an amenable number.

444424024404 is an abundant number, since it is smaller than the sum of its proper divisors (734582013036).

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

444424024404 is a wasteful number, since it uses less digits than its factorization.

444424024404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95698597 (or 95698589 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 444424024404 its reverse (404420424444), we get a palindrome (848844448848).

It can be divided in two parts, 4444240 and 24404, that added together give a palindrome (4468644).

The spelling of 444424024404 in words is "four hundred forty-four billion, four hundred twenty-four million, twenty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 95698541 191397082 287095623 382794164 574191246 861286869 1148382492 1722573738 2583860607 3445147476 4115037263 5167721214 8230074526 10335442428 12345111789 16460149052 24690223578 37035335367 49380447156 74070670734 111106006101 148141341468 222212012202 444424024404