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144869984 = 2571934039
BaseRepresentation
bin10001010001010…
…00101001100000
3101002121011020222
420220220221200
5244041314414
622213022212
73406242320
oct1050505140
9332534228
10144869984
1174858a66
1240624968
1324023bac
1415351280
15cab968e
hex8a28a60

144869984 has 48 divisors (see below), whose sum is σ = 343123200. Its totient is φ = 58817664.

The previous prime is 144869983. The next prime is 144869987. The reversal of 144869984 is 489968441.

144869984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144869981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12764 + ... + 21275.

It is an arithmetic number, because the mean of its divisors is an integer number (7148400).

Almost surely, 2144869984 is an apocalyptic number.

144869984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144869984 is an abundant number, since it is smaller than the sum of its proper divisors (198253216).

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

144869984 is a wasteful number, since it uses less digits than its factorization.

144869984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34075 (or 34067 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 53.

The square root of 144869984 is about 12036.1947475105. The cubic root of 144869984 is about 525.2017171946.

The spelling of 144869984 in words is "one hundred forty-four million, eight hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 34039 68078 136156 238273 272312 476546 544624 646741 953092 1089248 1293482 1906184 2586964 3812368 4527187 5173928 7624736 9054374 10347856 18108748 20695712 36217496 72434992 144869984