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144110000 = 245414411
BaseRepresentation
bin10001001011011…
…11000110110000
3101001011112202102
420211233012300
5243343010000
622144435532
73366625526
oct1045570660
9331145672
10144110000
1174389a81
1240318ba8
1323b18cb8
14151d4316
15c9b93d5
hex896f1b0

144110000 has 50 divisors (see below), whose sum is σ = 348928932. Its totient is φ = 57640000.

The previous prime is 144109991. The next prime is 144110017. The reversal of 144110000 is 11441.

It is a tau number, because it is divible by the number of its divisors (50).

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 9 ways as a sum of consecutive naturals, for example, 2795 + ... + 17205.

Almost surely, 2144110000 is an apocalyptic number.

144110000 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 144110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174464466).

144110000 is an abundant number, since it is smaller than the sum of its proper divisors (204818932).

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

144110000 is an equidigital number, since it uses as much as digits as its factorization.

144110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14439 (or 14418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 144110000 is about 12004.5824583781. The cubic root of 144110000 is about 524.2817085545.

Adding to 144110000 its reverse (11441), we get a palindrome (144121441).

The spelling of 144110000 in words is "one hundred forty-four million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 14411 28822 57644 72055 115288 144110 230576 288220 360275 576440 720550 1152880 1441100 1801375 2882200 3602750 5764400 7205500 9006875 14411000 18013750 28822000 36027500 72055000 144110000