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144240144 = 24319115733
BaseRepresentation
bin10001001100011…
…10111000010000
3101001102011021120
420212032320100
5243411141034
622151322240
73401010126
oct1046167020
9331364246
10144240144
1174468834
1240380380
1323b632c9
1415229916
15c9e2c49
hex898ee10

144240144 has 40 divisors (see below), whose sum is σ = 374595072. Its totient is φ = 47825280.

The previous prime is 144240137. The next prime is 144240181. The reversal of 144240144 is 441042441.

It is a happy number.

It is a super-2 number, since 2×1442401442 = 41610438282281472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1302 + ... + 17034.

Almost surely, 2144240144 is an apocalyptic number.

It is an amenable number.

144240144 is an abundant number, since it is smaller than the sum of its proper divisors (230354928).

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

144240144 is a wasteful number, since it uses less digits than its factorization.

144240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15935 (or 15929 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 144240144 is about 12010.0018318067. The cubic root of 144240144 is about 524.4394852277.

Adding to 144240144 its reverse (441042441), we get a palindrome (585282585).

The spelling of 144240144 in words is "one hundred forty-four million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 191 382 573 764 1146 1528 2292 3056 4584 9168 15733 31466 47199 62932 94398 125864 188796 251728 377592 755184 3005003 6010006 9015009 12020012 18030018 24040024 36060036 48080048 72120072 144240144