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144040020004404 = 223226627150265207
BaseRepresentation
bin100000110000000011101110…
…001110011100111000110100
3200220000002110122122002220200
4200300003232032130320310
5122334422430110120104
61230203023252400500
742224355654520656
oct4060035616347064
9626002418562820
10144040020004404
11419940361a4517
12141a3b07316130
13624abb9773ac4
14277d8077246d6
15119bc28ad0b39
hex8300ee39ce34

144040020004404 has 36 divisors (see below), whose sum is σ = 364114838234784. Its totient is φ = 48011536499472.

The previous prime is 144040020004403. The next prime is 144040020004471. The reversal of 144040020004404 is 404400020040441.

144040020004404 is a `hidden beast` number, since 14 + 4 + 0 + 4 + 0 + 0 + 200 + 0 + 440 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144040020004403) 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, 74174032 + ... + 76091175.

Almost surely, 2144040020004404 is an apocalyptic number.

It is an amenable number.

144040020004404 is an abundant number, since it is smaller than the sum of its proper divisors (220074818230380).

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

144040020004404 is a wasteful number, since it uses less digits than its factorization.

144040020004404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150291844 (or 150291839 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 144040020004404 its reverse (404400020040441), we get a palindrome (548440040044845).

The spelling of 144040020004404 in words is "one hundred forty-four trillion, forty billion, twenty million, four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 26627 53254 79881 106508 159762 239643 319524 479286 958572 150265207 300530414 450795621 601060828 901591242 1352386863 1803182484 2704773726 5409547452 4001111666789 8002223333578 12003335000367 16004446667156 24006670000734 36010005001101 48013340001468 72020010002202 144040020004404