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44424333342444 = 22311230595270897
BaseRepresentation
bin10100001100111010110001…
…00110111011011011101100
312211021220222011122221210210
422012131120212323123230
521310322013313424234
6234252131302302420
712233360252000166
oct1206353046733354
9184256864587723
1044424333342444
1113178288039400
124b95897427a10
131ba32730a0ac3
14ad82135c9936
155208a39a9be9
hex2867589bb6ec

44424333342444 has 36 divisors (see below), whose sum is σ = 113936788824152. Its totient is φ = 13461919194240.

The previous prime is 44424333342413. The next prime is 44424333342449.

44424333342444 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44424333342393 and 44424333342402.

It is not an unprimeable number, because it can be changed into a prime (44424333342449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15297633997 + ... + 15297636900.

Almost surely, 244424333342444 is an apocalyptic number.

44424333342444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44424333342444 is an abundant number, since it is smaller than the sum of its proper divisors (69512455481708).

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

44424333342444 is a wasteful number, since it uses less digits than its factorization.

44424333342444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30595270926 (or 30595270913 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 48.

It can be divided in two parts, 4442433 and 3342444, that added together give a palindrome (7784877).

The spelling of 44424333342444 in words is "forty-four trillion, four hundred twenty-four billion, three hundred thirty-three million, three hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 30595270897 61190541794 91785812691 122381083588 183571625382 336547979867 367143250764 673095959734 1009643939601 1346191919468 2019287879202 3702027778537 4038575758404 7404055557074 11106083335611 14808111114148 22212166671222 44424333342444