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445413314544 = 243111934370911
BaseRepresentation
bin1100111101101001011…
…00111100111111110000
31120120200121201210000120
412132310230330333300
524244201302031134
6540341533050240
744115520463652
oct6366454747760
91516617653016
10445413314544
11161998227810
12723a8026980
13330050731b3
14177b56a06d2
15b8bd77a649
hex67b4b3cff0

445413314544 has 80 divisors (see below), whose sum is σ = 1261759908864. Its totient is φ = 134274355200.

The previous prime is 445413314527. The next prime is 445413314557.

445413314544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445413314496 and 445413314505.

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, 2083552 + ... + 2287359.

Almost surely, 2445413314544 is an apocalyptic number.

445413314544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445413314544 is an abundant number, since it is smaller than the sum of its proper divisors (816346594320).

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

445413314544 is a wasteful number, since it uses less digits than its factorization.

445413314544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371126 (or 4371120 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 445413 and 314544, that added together give a palindrome (759957).

The spelling of 445413314544 in words is "four hundred forty-five billion, four hundred thirteen million, three hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 193 264 386 528 579 772 1158 1544 2123 2316 3088 4246 4632 6369 8492 9264 12738 16984 25476 33968 50952 101904 4370911 8741822 13112733 17483644 26225466 34967288 48080021 52450932 69934576 96160042 104901864 144240063 192320084 209803728 288480126 384640168 576960252 769280336 843585823 1153920504 1687171646 2307841008 2530757469 3374343292 5061514938 6748686584 9279444053 10123029876 13497373168 18558888106 20246059752 27838332159 37117776212 40492119504 55676664318 74235552424 111353328636 148471104848 222706657272 445413314544