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144112969 = 721113131157
BaseRepresentation
bin10001001011011…
…11110101001001
3101001011200211101
420211233311021
5243343103334
622144501401
73366640300
oct1045576511
9331150741
10144112969
1174391230
124031a861
1323b1a460
14151d5437
15c9ba214
hex896fd49

144112969 has 48 divisors (see below), whose sum is σ = 199717056. Its totient is φ = 102211200.

The previous prime is 144112957. The next prime is 144112973. The reversal of 144112969 is 969211441.

It is not a de Polignac number, because 144112969 - 221 = 142015817 is a prime.

It is a super-2 number, since 2×1441129692 = 41537095667989922, which contains 22 as substring.

144112969 is a modest number, since divided by 12969 gives 1441 as remainder.

It is not an unprimeable number, because it can be changed into a prime (144112999) 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, 917839 + ... + 917995.

It is an arithmetic number, because the mean of its divisors is an integer number (4160772).

Almost surely, 2144112969 is an apocalyptic number.

It is an amenable number.

144112969 is a deficient number, since it is larger than the sum of its proper divisors (55604087).

144112969 is a wasteful number, since it uses less digits than its factorization.

144112969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 319 counting only the distinct ones).

The product of its digits is 15552, while the sum is 37.

The square root of 144112969 is about 12004.7061188519. The cubic root of 144112969 is about 524.2853090025.

It can be divided in two parts, 1441 and 12969, that multiplied together give a square (18688329 = 43232).

The spelling of 144112969 in words is "one hundred forty-four million, one hundred twelve thousand, nine hundred sixty-nine".

Divisors: 1 7 11 13 49 77 91 131 143 157 539 637 917 1001 1099 1441 1703 1727 2041 6419 7007 7693 10087 11921 12089 14287 18733 20567 22451 70609 83447 84623 100009 131131 143969 157157 226237 267371 917917 1007783 1100099 1583659 1871597 2941081 11085613 13101179 20587567 144112969