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144065768 = 23711271863
BaseRepresentation
bin10001001011001…
…00010011101000
3101001002022002012
420211210103220
5243340101033
622143455052
73366352550
oct1045442350
9331068065
10144065768
1174359820
12402b7488
1323b01b22
14151c2160
15c9ab248
hex89644e8

144065768 has 64 divisors (see below), whose sum is σ = 338411520. Its totient is φ = 55857600.

The previous prime is 144065737. The next prime is 144065797. The reversal of 144065768 is 867560441.

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 15 ways as a sum of consecutive naturals, for example, 166505 + ... + 167367.

It is an arithmetic number, because the mean of its divisors is an integer number (5287680).

Almost surely, 2144065768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144065768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169205760).

144065768 is an abundant number, since it is smaller than the sum of its proper divisors (194345752).

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

144065768 is a wasteful number, since it uses less digits than its factorization.

144065768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 144065768 is about 12002.7400205120. The cubic root of 144065768 is about 524.2280634188.

The spelling of 144065768 in words is "one hundred forty-four million, sixty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 271 308 542 616 863 1084 1726 1897 2168 2981 3452 3794 5962 6041 6904 7588 9493 11924 12082 15176 18986 20867 23848 24164 37972 41734 48328 66451 75944 83468 132902 166936 233873 265804 467746 531608 935492 1637111 1870984 2572603 3274222 5145206 6548444 10290412 13096888 18008221 20580824 36016442 72032884 144065768