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144408500 = 2253288817
BaseRepresentation
bin10001001101101…
…11111110110100
3101001201201012222
420212313332310
5243432033000
622155101512
73402311015
oct1046677664
9331651188
10144408500
1174573275
1240441898
1323bc1b22
141527100c
15ca27a85
hex89b7fb4

144408500 has 24 divisors (see below), whose sum is σ = 315389256. Its totient is φ = 57763200.

The previous prime is 144408479. The next prime is 144408503. The reversal of 144408500 is 5804441.

144408500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1653796 + 142754704 = 1286^2 + 11948^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144408500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144408503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143909 + ... + 144908.

It is an arithmetic number, because the mean of its divisors is an integer number (13141219).

Almost surely, 2144408500 is an apocalyptic number.

144408500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144408500 is an abundant number, since it is smaller than the sum of its proper divisors (170980756).

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

144408500 is a wasteful number, since it uses less digits than its factorization.

144408500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288836 (or 288824 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 144408500 is about 12017.0087792262. The cubic root of 144408500 is about 524.6434464882.

The spelling of 144408500 in words is "one hundred forty-four million, four hundred eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 288817 577634 1155268 1444085 2888170 5776340 7220425 14440850 28881700 36102125 72204250 144408500