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144104000 = 265318013
BaseRepresentation
bin10001001011011…
…01101001000000
3101001011020112012
420211231221000
5243342312000
622144352052
73366602165
oct1045555100
9331136465
10144104000
1174385517
1240315628
1323b16351
14151d206c
15c9b7735
hex896da40

144104000 has 56 divisors (see below), whose sum is σ = 356893368. Its totient is φ = 57638400.

The previous prime is 144103991. The next prime is 144104003. The reversal of 144104000 is 401441.

It can be written as a sum of positive squares in 4 ways, for example, as 295936 + 143808064 = 544^2 + 11992^2 .

It is not an unprimeable number, because it can be changed into a prime (144104003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1007 + ... + 17006.

Almost surely, 2144104000 is an apocalyptic number.

144104000 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 144104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178446684).

144104000 is an abundant number, since it is smaller than the sum of its proper divisors (212789368).

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

144104000 is an equidigital number, since it uses as much as digits as its factorization.

144104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18040 (or 18020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 144104000 is about 12004.3325512083. The cubic root of 144104000 is about 524.2744323213.

Adding to 144104000 its reverse (401441), we get a palindrome (144505441).

It can be divided in two parts, 14 and 4104000, that added together give a palindrome (4104014).

The spelling of 144104000 in words is "one hundred forty-four million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 18013 36026 72052 90065 144104 180130 288208 360260 450325 576416 720520 900650 1152832 1441040 1801300 2251625 2882080 3602600 4503250 5764160 7205200 9006500 14410400 18013000 28820800 36026000 72052000 144104000