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144065026314 = 232111938294797
BaseRepresentation
bin1000011000101011110…
…0011101100100001010
3111202212010202121112100
42012022330131210022
54330021121320224
6150103233254230
713260031342656
oct2061274354412
9452763677470
10144065026314
1156108a51620
1223b07104376
131077bb00401
146d8946ba66
153b32a3dac9
hex218af1d90a

144065026314 has 48 divisors (see below), whose sum is σ = 358439309280. Its totient is φ = 41358379680.

The previous prime is 144065026309. The next prime is 144065026349. The reversal of 144065026314 is 413620560441.

144065026314 is a `hidden beast` number, since 14 + 4 + 0 + 6 + 5 + 0 + 2 + 631 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19143637 + ... + 19151160.

It is an arithmetic number, because the mean of its divisors is an integer number (7467485610).

Almost surely, 2144065026314 is an apocalyptic number.

144065026314 is an abundant number, since it is smaller than the sum of its proper divisors (214374282966).

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

144065026314 is a wasteful number, since it uses less digits than its factorization.

144065026314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38294835 (or 38294832 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 144065026314 its reverse (413620560441), we get a palindrome (557685586755).

The spelling of 144065026314 in words is "one hundred forty-four billion, sixty-five million, twenty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 38294797 76589594 114884391 229768782 344653173 421242767 689306346 727601143 842485534 1263728301 1455202286 2182803429 2527456602 3791184903 4365606858 6548410287 7582369806 8003612573 13096820574 16007225146 24010837719 48021675438 72032513157 144065026314