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4424131203135 = 35761690730867
BaseRepresentation
bin100000001100001001011…
…0001001101000000111111
3120122221110022101012111020
41000120102301031000333
51034441110042000020
613224230125355223
7634430044516050
oct100302261150077
916587408335436
104424131203135
111456299800056
125b5514708b13
132612699803a7
141141b4332727
157a13615ec40
hex40612c4d03f

4424131203135 has 32 divisors (see below), whose sum is σ = 8222460252672. Its totient is φ = 1989304894080.

The previous prime is 4424131203131. The next prime is 4424131203137. The reversal of 4424131203135 is 5313021314244.

It is not a de Polignac number, because 4424131203135 - 22 = 4424131203131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4424131203096 and 4424131203105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424131203131) 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 31 ways as a sum of consecutive naturals, for example, 345359029 + ... + 345371838.

It is an arithmetic number, because the mean of its divisors is an integer number (256951882896).

Almost surely, 24424131203135 is an apocalyptic number.

4424131203135 is a deficient number, since it is larger than the sum of its proper divisors (3798329049537).

4424131203135 is a wasteful number, since it uses less digits than its factorization.

4424131203135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690730943.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 4424131203135 its reverse (5313021314244), we get a palindrome (9737152517379).

The spelling of 4424131203135 in words is "four trillion, four hundred twenty-four billion, one hundred thirty-one million, two hundred three thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 61 105 183 305 427 915 1281 2135 6405 690730867 2072192601 3453654335 4835116069 10360963005 14505348207 24175580345 42134582887 72526741035 126403748661 210672914435 294942080209 632018743305 884826240627 1474710401045 4424131203135