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44400003434244 = 22321233333428729
BaseRepresentation
bin10100001100001101011100…
…11011101100011100000100
312211012121011120122120010200
422012012232123230130010
521304422201334343434
6234233025140050500
712231536322123213
oct1206065633543404
9184177146576120
1044400003434244
1113168a32484257
124b91027393a30
131ba0b96634713
14ad6d8623307a
1551ee2ca4d199
hex2861ae6ec704

44400003434244 has 18 divisors (see below), whose sum is σ = 112233342014430. Its totient is φ = 14800001144736.

The previous prime is 44400003434219. The next prime is 44400003434263. The reversal of 44400003434244 is 44243430000444.

44400003434244 is a `hidden beast` number, since 4 + 4 + 400 + 0 + 0 + 3 + 4 + 3 + 4 + 244 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39735751176900 + 4664252257344 = 6303630^2 + 2159688^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1233333428729 = 44400003434244 / (4 + 4 + 4 + 0 + 0 + 0 + 0 + 3 + 4 + 3 + 4 + 2 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 44400003434199 and 44400003434208.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 616666714329 + ... + 616666714400.

Almost surely, 244400003434244 is an apocalyptic number.

It is an amenable number.

44400003434244 is an abundant number, since it is smaller than the sum of its proper divisors (67833338580186).

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

44400003434244 is a wasteful number, since it uses less digits than its factorization.

44400003434244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233333428739 (or 1233333428734 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 44400003434244 its reverse (44243430000444), we get a palindrome (88643433434688).

The spelling of 44400003434244 in words is "forty-four trillion, four hundred billion, three million, four hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1233333428729 2466666857458 3700000286187 4933333714916 7400000572374 11100000858561 14800001144748 22200001717122 44400003434244