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144165476 = 22713601659
BaseRepresentation
bin10001001011111…
…00101001100100
3101001021100212002
420211330221210
5243401243401
622145544432
73400246340
oct1045745144
9331240762
10144165476
1174417724
1240345118
1323b38320
141520a620
15c9caa6b
hex897ca64

144165476 has 48 divisors (see below), whose sum is σ = 311498880. Its totient is φ = 56851200.

The previous prime is 144165451. The next prime is 144165479. The reversal of 144165476 is 674561441.

It is not an unprimeable number, because it can be changed into a prime (144165479) 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, 218435 + ... + 219093.

It is an arithmetic number, because the mean of its divisors is an integer number (6489560).

Almost surely, 2144165476 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 144165476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155749440).

144165476 is an abundant number, since it is smaller than the sum of its proper divisors (167333404).

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

144165476 is a wasteful number, since it uses less digits than its factorization.

144165476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1282 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 144165476 is about 12006.8928536903. The cubic root of 144165476 is about 524.3489750424.

The spelling of 144165476 in words is "one hundred forty-four million, one hundred sixty-five thousand, four hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 601 659 1202 1318 2404 2636 4207 4613 7813 8414 8567 9226 15626 16828 17134 18452 31252 34268 54691 59969 109382 119938 218764 239876 396059 792118 1584236 2772413 5148767 5544826 10297534 11089652 20595068 36041369 72082738 144165476