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144137784 = 2337857963
BaseRepresentation
bin10001001011101…
…01111000111000
3101001012221212110
420211311320320
5243344402114
622145212320
73400102530
oct1045657070
9331187773
10144137784
11743a893a
12403310a0
1323b2883b
14152004c0
15c9c2759
hex8975e38

144137784 has 32 divisors (see below), whose sum is σ = 411822720. Its totient is φ = 41182176.

The previous prime is 144137783. The next prime is 144137789. The reversal of 144137784 is 487731441.

144137784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144137783) 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, 428814 + ... + 429149.

It is an arithmetic number, because the mean of its divisors is an integer number (12869460).

Almost surely, 2144137784 is an apocalyptic number.

144137784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144137784 is an abundant number, since it is smaller than the sum of its proper divisors (267684936).

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

144137784 is a wasteful number, since it uses less digits than its factorization.

144137784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857979 (or 857975 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 144137784 is about 12005.7396273616. The cubic root of 144137784 is about 524.3153997324.

The spelling of 144137784 in words is "one hundred forty-four million, one hundred thirty-seven thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 857963 1715926 2573889 3431852 5147778 6005741 6863704 10295556 12011482 18017223 20591112 24022964 36034446 48045928 72068892 144137784