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144431313 = 31337101991
BaseRepresentation
bin10001001101111…
…01100011010001
3101001202212111220
420212331203101
5243433300223
622155355253
73402434355
oct1046754321
9331685456
10144431313
1174589424
1240452b29
1323bcc320
1415279465
15ca2e6e3
hex89bd8d1

144431313 has 32 divisors (see below), whose sum is σ = 215319552. Its totient is φ = 85536000.

The previous prime is 144431279. The next prime is 144431317. The reversal of 144431313 is 313134441.

144431313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144431313 - 28 = 144431057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144431317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145248 + ... + 146238.

It is an arithmetic number, because the mean of its divisors is an integer number (6728736).

Almost surely, 2144431313 is an apocalyptic number.

144431313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

144431313 is a deficient number, since it is larger than the sum of its proper divisors (70888239).

144431313 is a wasteful number, since it uses less digits than its factorization.

144431313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145.

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

The square root of 144431313 is about 12017.9579380193. The cubic root of 144431313 is about 524.6710719644.

Adding to 144431313 its reverse (313134441), we get a palindrome (457565754).

The spelling of 144431313 in words is "one hundred forty-four million, four hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 13 37 39 101 111 303 481 991 1313 1443 2973 3737 3939 11211 12883 36667 38649 48581 100091 110001 145743 300273 476671 1301183 1430013 3703367 3903549 11110101 48143771 144431313