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144034001133022 = 273111319716011811
BaseRepresentation
bin100000101111111110000111…
…011110010001110111011110
3200212222111221012001202120101
4200233332013132101313132
5122334323113242224042
61230200150123211314
742224053551124000
oct4057760736216736
9625874835052511
10144034001133022
1141991527754350
12141a2907676b3a
13624a46a7cb550
14277d3d6202370
15119b9c54bb6b7
hex82ff87791dde

144034001133022 has 512 divisors, whose sum is σ = 316670570496000. Its totient is φ = 48275740800000.

The previous prime is 144034001133013. The next prime is 144034001133037. The reversal of 144034001133022 is 220331100430441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 79532854497 + ... + 79532856307.

It is an arithmetic number, because the mean of its divisors is an integer number (618497208000).

Almost surely, 2144034001133022 is an apocalyptic number.

144034001133022 is an abundant number, since it is smaller than the sum of its proper divisors (172636569362978).

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

144034001133022 is a wasteful number, since it uses less digits than its factorization.

144034001133022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 144034001133022 its reverse (220331100430441), we get a palindrome (364365101563463).

The spelling of 144034001133022 in words is "one hundred forty-four trillion, thirty-four billion, one million, one hundred thirty-three thousand, twenty-two".