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144078168 = 23313538713
BaseRepresentation
bin10001001011001…
…11010101011000
3101001002221002110
420211213111120
5243341000133
622144032320
73366433653
oct1045472530
9331087073
10144078168
1174368073
12403026a0
1323b07670
14151c689a
15c9aec63
hex8967558

144078168 has 64 divisors (see below), whose sum is σ = 395267040. Its totient is φ = 43490304.

The previous prime is 144078163. The next prime is 144078169. The reversal of 144078168 is 861870441.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144078161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12180 + ... + 20892.

Almost surely, 2144078168 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 144078168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197633520).

144078168 is an abundant number, since it is smaller than the sum of its proper divisors (251188872).

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

144078168 is a wasteful number, since it uses less digits than its factorization.

144078168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8788 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 144078168 is about 12003.2565581179. The cubic root of 144078168 is about 524.2431034050.

The spelling of 144078168 in words is "one hundred forty-four million, seventy-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 212 312 318 424 636 689 1272 1378 2067 2756 4134 5512 8268 8713 16536 17426 26139 34852 52278 69704 104556 113269 209112 226538 339807 453076 461789 679614 906152 923578 1359228 1385367 1847156 2718456 2770734 3694312 5541468 6003257 11082936 12006514 18009771 24013028 36019542 48026056 72039084 144078168