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144008044341 = 3743508131387
BaseRepresentation
bin1000011000011110001…
…1000101111100110101
3111202201011112121221220
42012013203011330311
54324412024404331
6150053440100553
713255440115530
oct2060743057465
9452634477856
10144008044341
1156089872187
1223ab0004759
131077006c075
146d81a77a17
153b2ca35296
hex21878c5f35

144008044341 has 32 divisors (see below), whose sum is σ = 224595452928. Its totient is φ = 80358203520.

The previous prime is 144008044333. The next prime is 144008044363. The reversal of 144008044341 is 143440800441.

144008044341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144008044341 - 23 = 144008044333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144008044391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4572450 + ... + 4603836.

It is an arithmetic number, because the mean of its divisors is an integer number (7018607904).

Almost surely, 2144008044341 is an apocalyptic number.

It is an amenable number.

144008044341 is a deficient number, since it is larger than the sum of its proper divisors (80587408587).

144008044341 is a wasteful number, since it uses less digits than its factorization.

144008044341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36521.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 144008044341 its reverse (143440800441), we get a palindrome (287448844782).

The spelling of 144008044341 in words is "one hundred forty-four billion, eight million, forty-four thousand, three hundred forty-one".

Divisors: 1 3 7 21 43 129 301 903 5081 15243 31387 35567 94161 106701 218483 219709 655449 659127 1349641 1529381 4048923 4588143 9447487 28342461 159477347 478432041 1116341429 3349024287 6857525921 20572577763 48002681447 144008044341