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144629109 = 32611312011
BaseRepresentation
bin10001001111011…
…01110101110101
3101002010220211200
420213231311311
5244011112414
622203523113
73404220132
oct1047556565
9332126750
10144629109
1174703a99
1240529499
1323c6b371
14152cb589
15ca6d109
hex89edd75

144629109 has 24 divisors (see below), whose sum is σ = 214060704. Its totient is φ = 94068000.

The previous prime is 144629101. The next prime is 144629113. The reversal of 144629109 is 901926441.

It is a happy number.

144629109 is a `hidden beast` number, since 14 + 4 + 629 + 10 + 9 = 666.

It is not a de Polignac number, because 144629109 - 23 = 144629101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144629101) by changing a digit.

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, 70914 + ... + 72924.

It is an arithmetic number, because the mean of its divisors is an integer number (8919196).

Almost surely, 2144629109 is an apocalyptic number.

It is an amenable number.

144629109 is a deficient number, since it is larger than the sum of its proper divisors (69431595).

144629109 is a wasteful number, since it uses less digits than its factorization.

144629109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 144629109 is about 12026.1843075848. The cubic root of 144629109 is about 524.9104718085.

The spelling of 144629109 in words is "one hundred forty-four million, six hundred twenty-nine thousand, one hundred nine".

Divisors: 1 3 9 61 131 183 393 549 1179 2011 6033 7991 18099 23973 71919 122671 263441 368013 790323 1104039 2370969 16069901 48209703 144629109