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144414500 = 2253367787
BaseRepresentation
bin10001001101110…
…01011100100100
3101001202000110012
420212321130210
5243432231000
622155145352
73402334346
oct1046713444
9331660405
10144414500
117457782a
1240445258
1323bc4789
1415273296
15ca29735
hex89b9724

144414500 has 48 divisors (see below), whose sum is σ = 316662528. Its totient is φ = 57535200.

The previous prime is 144414481. The next prime is 144414521. The reversal of 144414500 is 5414441.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 183107 + ... + 183893.

It is an arithmetic number, because the mean of its divisors is an integer number (6597136).

Almost surely, 2144414500 is an apocalyptic number.

144414500 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 144414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158331264).

144414500 is an abundant number, since it is smaller than the sum of its proper divisors (172248028).

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

144414500 is a wasteful number, since it uses less digits than its factorization.

144414500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 144414500 is about 12017.2584227851. The cubic root of 144414500 is about 524.6507124896.

Adding to 144414500 its reverse (5414441), we get a palindrome (149828941).

The spelling of 144414500 in words is "one hundred forty-four million, four hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 367 500 734 787 1468 1574 1835 3148 3670 3935 7340 7870 9175 15740 18350 19675 36700 39350 45875 78700 91750 98375 183500 196750 288829 393500 577658 1155316 1444145 2888290 5776580 7220725 14441450 28882900 36103625 72207250 144414500