Search a number
-
+
144871400 = 23522273191
BaseRepresentation
bin10001010001010…
…00111111101000
3101002121020012102
420220220333220
5244041341100
622213032532
73406246412
oct1050507750
9332536172
10144871400
117485a033
1240625748
132402472b
14153519b2
15cab9cd5
hex8a28fe8

144871400 has 48 divisors (see below), whose sum is σ = 338415840. Its totient is φ = 57675200.

The previous prime is 144871393. The next prime is 144871417. The reversal of 144871400 is 4178441.

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, 43805 + ... + 46995.

It is an arithmetic number, because the mean of its divisors is an integer number (7050330).

Almost surely, 2144871400 is an apocalyptic number.

144871400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144871400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169207920).

144871400 is an abundant number, since it is smaller than the sum of its proper divisors (193544440).

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

144871400 is a wasteful number, since it uses less digits than its factorization.

144871400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 144871400 is about 12036.2535699444. The cubic root of 144871400 is about 525.2034283455.

The spelling of 144871400 in words is "one hundred forty-four million, eight hundred seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 227 454 908 1135 1816 2270 3191 4540 5675 6382 9080 11350 12764 15955 22700 25528 31910 45400 63820 79775 127640 159550 319100 638200 724357 1448714 2897428 3621785 5794856 7243570 14487140 18108925 28974280 36217850 72435700 144871400