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144044100 = 223252160049
BaseRepresentation
bin10001001010111…
…11000001000100
3101001001012100200
420211133001010
5243333402400
622143210500
73366232434
oct1045370104
9331035320
10144044100
1174344512
12402a6a30
1323ac4cc5
14151b82c4
15c9a4b00
hex895f044

144044100 has 54 divisors (see below), whose sum is σ = 451501050. Its totient is φ = 38411520.

The previous prime is 144044081. The next prime is 144044123. The reversal of 144044100 is 1440441.

It can be written as a sum of positive squares in 3 ways, for example, as 49449024 + 94595076 = 7032^2 + 9726^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 79125 + ... + 80924.

Almost surely, 2144044100 is an apocalyptic number.

144044100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144044100 is an abundant number, since it is smaller than the sum of its proper divisors (307456950).

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

144044100 is a wasteful number, since it uses less digits than its factorization.

144044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160069 (or 160059 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144044100 is about 12001.8373593379. The cubic root of 144044100 is about 524.2017801840.

Adding to 144044100 its reverse (1440441), we get a palindrome (145484541).

Multiplying 144044100 by its reverse (1440441), we get a square (207487027448100 = 144044102).

144044100 divided by its reverse (1440441) gives a square (100 = 102).

The spelling of 144044100 in words is "one hundred forty-four million, forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 160049 320098 480147 640196 800245 960294 1440441 1600490 1920588 2400735 2880882 3200980 4001225 4801470 5761764 7202205 8002450 9602940 12003675 14404410 16004900 24007350 28808820 36011025 48014700 72022050 144044100