Search a number
-
+
144385461 = 32112950291
BaseRepresentation
bin10001001101100…
…10010110110101
3101001200112121200
420212302112311
5243430313321
622154403113
73402153603
oct1046622665
9331615550
10144385461
1174557a30
1240430499
1323bb44ac
1415266873
15ca20d26
hex89b25b5

144385461 has 24 divisors (see below), whose sum is σ = 235366560. Its totient is φ = 84487200.

The previous prime is 144385453. The next prime is 144385463. The reversal of 144385461 is 164583441.

144385461 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 144385461 - 23 = 144385453 is a prime.

It is a super-2 number, since 2×1443854612 = 41694322696365042, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144385463) 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, 22275 + ... + 28016.

It is an arithmetic number, because the mean of its divisors is an integer number (9806940).

Almost surely, 2144385461 is an apocalyptic number.

144385461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144385461 is a deficient number, since it is larger than the sum of its proper divisors (90981099).

144385461 is a wasteful number, since it uses less digits than its factorization.

144385461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50337 (or 50334 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 144385461 is about 12016.0501413734. The cubic root of 144385461 is about 524.6155443836.

The spelling of 144385461 in words is "one hundred forty-four million, three hundred eighty-five thousand, four hundred sixty-one".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 50291 150873 452619 553201 1458439 1659603 4375317 4978809 13125951 16042829 48128487 144385461