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144204411311343 = 32172574787766109
BaseRepresentation
bin100000110010011100110100…
…101101100001010011101111
3200220120210210100212202120100
4200302130310231201103233
5122400121113243430333
61230410331512522143
742242265512545215
oct4062346455412357
9626523710782510
10144204411311343
1141a47824869569
121420b9456b0353
13626055771b9a6
14278776052ccb5
1511a114ad3b213
hex832734b614ef

144204411311343 has 48 divisors (see below), whose sum is σ = 221452626900960. Its totient is φ = 90110186815488.

The previous prime is 144204411311273. The next prime is 144204411311371. The reversal of 144204411311343 is 343113114402441.

144204411311343 is a `hidden beast` number, since 1 + 4 + 4 + 204 + 411 + 3 + 1 + 1 + 34 + 3 = 666.

144204411311343 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 144204411311343 - 213 = 144204411303151 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144204411311298 and 144204411311307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144204411315343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187846573 + ... + 188612681.

It is an arithmetic number, because the mean of its divisors is an integer number (4613596393770).

Almost surely, 2144204411311343 is an apocalyptic number.

144204411311343 is a deficient number, since it is larger than the sum of its proper divisors (77248215589617).

144204411311343 is a wasteful number, since it uses less digits than its factorization.

144204411311343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771176 (or 771173 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 144204411311343 its reverse (343113114402441), we get a palindrome (487317525713784).

The spelling of 144204411311343 in words is "one hundred forty-four trillion, two hundred four billion, four hundred eleven million, three hundred eleven thousand, three hundred forty-three".

Divisors: 1 3 9 17 51 153 257 771 2313 4369 4787 13107 14361 39321 43083 81379 244137 732411 766109 1230259 2298327 3690777 6894981 11072331 13023853 20914403 39071559 62743209 117214677 188229627 196890013 590670039 1772010117 3347130221 3667363783 10041390663 11002091349 30124171989 33006274047 62345184311 187035552933 561106658799 942512492231 2827537476693 8482612430079 16022712367927 48068137103781 144204411311343