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144408289 = 6121972
BaseRepresentation
bin10001001101101…
…11111011100001
3101001201200221011
420212313323201
5243432031124
622155100521
73402310264
oct1046677341
9331650834
10144408289
11745730a3
1240441741
1323bc19bc
1415270cdb
15ca27994
hex89b7ee1

144408289 has 9 divisors (see below), whose sum is σ = 147563481. Its totient is φ = 141319920.

The previous prime is 144408281. The next prime is 144408293. The reversal of 144408289 is 982804441.

It is a happy number.

The square root of 144408289 is 12017.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 216225 + 144192064 = 465^2 + 12008^2 .

It is not a de Polignac number, because 144408289 - 23 = 144408281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144408281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 732939 + ... + 733135.

Almost surely, 2144408289 is an apocalyptic number.

144408289 is the 12017-th square number.

144408289 is the 6009-th centered octagonal number.

It is an amenable number.

144408289 is a deficient number, since it is larger than the sum of its proper divisors (3155192).

144408289 is an frugal number, since it uses more digits than its factorization.

144408289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The cubic root of 144408289 is about 524.6431909635.

The spelling of 144408289 in words is "one hundred forty-four million, four hundred eight thousand, two hundred eighty-nine".

Divisors: 1 61 197 3721 12017 38809 733037 2367349 144408289