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144114302013424 = 2479831373668427
BaseRepresentation
bin100000110001001000111001…
…110001110100111111110000
3200220021012012111100010212221
4200301020321301310333300
5122342132042303412144
61230301110225530424
742232625515262641
oct4061107161647760
9626235174303787
10144114302013424
1141a12594486316
12141b63981a3a14
136254bc707bab2
142783252cdd6c8
15119db250bed84
hex831239c74ff0

144114302013424 has 40 divisors (see below), whose sum is σ = 286162606920960. Its totient is φ = 70287866021568.

The previous prime is 144114302013419. The next prime is 144114302013427. The reversal of 144114302013424 is 424310203411441.

144114302013424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144114302013424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144114302013427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 686729302 + ... + 686939125.

It is an arithmetic number, because the mean of its divisors is an integer number (7154065173024).

Almost surely, 2144114302013424 is an apocalyptic number.

It is an amenable number.

144114302013424 is a deficient number, since it is larger than the sum of its proper divisors (142048304907536).

144114302013424 is a wasteful number, since it uses less digits than its factorization.

144114302013424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373668597 (or 1373668591 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 144114302013424 its reverse (424310203411441), we get a palindrome (568424505424865).

The spelling of 144114302013424 in words is "one hundred forty-four trillion, one hundred fourteen billion, three hundred two million, thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 79 83 158 166 316 332 632 664 1264 1328 6557 13114 26228 52456 104912 1373668427 2747336854 5494673708 10989347416 21978694832 108519805733 114014479441 217039611466 228028958882 434079222932 456057917764 868158445864 912115835528 1736316891728 1824231671056 9007143875839 18014287751678 36028575503356 72057151006712 144114302013424