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144441200031343 = 71367142914332707
BaseRepresentation
bin100000110101111001010110…
…011010110011011001101111
3200221102102222120122001112221
4200311321112122303121233
5122413011034202000333
61231111212104540211
742265350405502525
oct4065712632633157
9627372876561487
10144441200031343
1142029194930596
1214249809781667
136279992702527
142794dc44d8315
1511a73a8dbbd2d
hex835e566b366f

144441200031343 has 32 divisors (see below), whose sum is σ = 147134380124160. Its totient is φ = 141767977317120.

The previous prime is 144441200031313. The next prime is 144441200031353. The reversal of 144441200031343 is 343130002144441.

It is a cyclic number.

It is not a de Polignac number, because 144441200031343 - 221 = 144441197934191 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144441200031299 and 144441200031308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144441200031313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53358402796 + ... + 53358405502.

It is an arithmetic number, because the mean of its divisors is an integer number (4597949378880).

Almost surely, 2144441200031343 is an apocalyptic number.

144441200031343 is a deficient number, since it is larger than the sum of its proper divisors (2693180092817).

144441200031343 is a wasteful number, since it uses less digits than its factorization.

144441200031343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007.

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 144441200031343 its reverse (343130002144441), we get a palindrome (487571202175784).

The spelling of 144441200031343 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred million, thirty-one thousand, three hundred forty-three".

Divisors: 1 71 367 1429 1433 2707 26057 101459 101743 192197 524443 525911 993469 2047757 3868303 3879131 37235453 37339681 70536299 145390747 274649513 275418301 751526819 1419667201 1423641077 5543278199 53358404149 100796371271 101078516467 393572752129 2034383099033 144441200031343