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144441200 = 24521931871
BaseRepresentation
bin10001001101111…
…11111101110000
3101001210101002002
420212333331300
5243434104300
622155513132
73402505241
oct1046777560
9331711062
10144441200
11745958a2
12404587a8
1323c03987
141527ccc8
15ca325d5
hex89bff70

144441200 has 60 divisors (see below), whose sum is σ = 349004448. Its totient is φ = 57446400.

The previous prime is 144441191. The next prime is 144441203. The reversal of 144441200 is 2144441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144441203) 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 11 ways as a sum of consecutive naturals, for example, 76265 + ... + 78135.

Almost surely, 2144441200 is an apocalyptic number.

144441200 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 144441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174502224).

144441200 is an abundant number, since it is smaller than the sum of its proper divisors (204563248).

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

144441200 is a wasteful number, since it uses less digits than its factorization.

144441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 144441200 is about 12018.3692737409. The cubic root of 144441200 is about 524.6830437555.

Adding to 144441200 its reverse (2144441), we get a palindrome (146585641).

The spelling of 144441200 in words is "one hundred forty-four million, four hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 193 200 386 400 772 965 1544 1871 1930 3088 3742 3860 4825 7484 7720 9355 9650 14968 15440 18710 19300 29936 37420 38600 46775 74840 77200 93550 149680 187100 361103 374200 722206 748400 1444412 1805515 2888824 3611030 5777648 7222060 9027575 14444120 18055150 28888240 36110300 72220600 144441200