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144314331 = 373127151
BaseRepresentation
bin10001001101000…
…00111111011011
3101001112221001020
420212200333123
5243421024311
622153053523
73401436330
oct1046407733
9331487036
10144314331
1174509547
12403b72a3
1323b8acc5
1415248987
15ca09c06
hex89a0fdb

144314331 has 24 divisors (see below), whose sum is σ = 227261952. Its totient is φ = 79794000.

The previous prime is 144314327. The next prime is 144314347. The reversal of 144314331 is 133413441.

It is not a de Polignac number, because 144314331 - 22 = 144314327 is a prime.

It is a super-2 number, since 2×1443143312 = 41653252263955122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144314311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16606 + ... + 23756.

It is an arithmetic number, because the mean of its divisors is an integer number (9469248).

Almost surely, 2144314331 is an apocalyptic number.

144314331 is a deficient number, since it is larger than the sum of its proper divisors (82947621).

144314331 is an equidigital number, since it uses as much as digits as its factorization.

144314331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7223 (or 7192 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 144314331 is about 12013.0899855116. The cubic root of 144314331 is about 524.5293814305.

Adding to 144314331 its reverse (133413441), we get a palindrome (277727772).

The spelling of 144314331 in words is "one hundred forty-four million, three hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 3 7 21 31 93 217 651 961 2883 6727 7151 20181 21453 50057 150171 221681 665043 1551767 4655301 6872111 20616333 48104777 144314331