Search a number
-
+
144478116 = 223229138389
BaseRepresentation
bin10001001110010…
…00111110100100
3101001212020201100
420213020332210
5243441244431
622200400100
73403020666
oct1047107644
9331766640
10144478116
1174610602
1240476030
1323c17713
141528c536
15ca3d4e6
hex89c8fa4

144478116 has 36 divisors (see below), whose sum is σ = 377804700. Its totient is φ = 46498368.

The previous prime is 144478099. The next prime is 144478127. The reversal of 144478116 is 611874441.

It can be written as a sum of positive squares in 2 ways, for example, as 34857216 + 109620900 = 5904^2 + 10470^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 68151 + ... + 70238.

It is an arithmetic number, because the mean of its divisors is an integer number (10494575).

Almost surely, 2144478116 is an apocalyptic number.

It is an amenable number.

144478116 is an abundant number, since it is smaller than the sum of its proper divisors (233326584).

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

144478116 is a wasteful number, since it uses less digits than its factorization.

144478116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138428 (or 138423 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 144478116 is about 12019.9049913050. The cubic root of 144478116 is about 524.7277391041.

The spelling of 144478116 in words is "one hundred forty-four million, four hundred seventy-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 138389 276778 415167 553556 830334 1245501 1660668 2491002 4013281 4982004 8026562 12039843 16053124 24079686 36119529 48159372 72239058 144478116