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44142302133 = 34635385781
BaseRepresentation
bin101001000111000101…
…100001001110110101
311012221100112021210000
4221013011201032311
51210400412132013
632140110421513
73121613243256
oct510705411665
9135840467700
1044142302133
11177a21a6a36
12867b201899
134216309107
1421ca7a4b2d
1512354ba973
hexa471613b5

44142302133 has 20 divisors (see below), whose sum is σ = 65952118188. Its totient is φ = 29423226240.

The previous prime is 44142302123. The next prime is 44142302227. The reversal of 44142302133 is 33120324144.

44142302133 is a `hidden beast` number, since 4 + 414 + 2 + 30 + 213 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31941553284 + 12200748849 = 178722^2 + 110457^2 .

It is not a de Polignac number, because 44142302133 - 222 = 44138107829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 44142302097 and 44142302106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44142302123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 471703 + ... + 557483.

Almost surely, 244142302133 is an apocalyptic number.

It is an amenable number.

44142302133 is a deficient number, since it is larger than the sum of its proper divisors (21809816055).

44142302133 is an equidigital number, since it uses as much as digits as its factorization.

44142302133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92146 (or 92137 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 44142302133 its reverse (33120324144), we get a palindrome (77262626277).

The spelling of 44142302133 in words is "forty-four billion, one hundred forty-two million, three hundred two thousand, one hundred thirty-three".

Divisors: 1 3 9 27 81 6353 19059 57177 85781 171531 257343 514593 772029 2316087 6948261 544966693 1634900079 4904700237 14714100711 44142302133