Search a number
-
+
144113364 = 22332295827
BaseRepresentation
bin10001001011011…
…11111011010100
3101001011201101000
420211233323110
5243343111424
622144503300
73366641403
oct1045577324
9331151330
10144113364
117439155a
124031ab30
1323b1a6a5
14151d563a
15c9ba3c9
hex896fed4

144113364 has 48 divisors (see below), whose sum is σ = 375323200. Its totient is φ = 47819808.

The previous prime is 144113363. The next prime is 144113371. The reversal of 144113364 is 463311441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144113363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21819 + ... + 27645.

Almost surely, 2144113364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144113364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187661600).

144113364 is an abundant number, since it is smaller than the sum of its proper divisors (231209836).

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

144113364 is a wasteful number, since it uses less digits than its factorization.

144113364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6069 (or 6061 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 144113364 is about 12004.7225707219. The cubic root of 144113364 is about 524.2857880076.

The spelling of 144113364 in words is "one hundred forty-four million, one hundred thirteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 229 458 687 916 1374 2061 2748 4122 5827 6183 8244 11654 12366 17481 23308 24732 34962 52443 69924 104886 157329 209772 314658 629316 1334383 2668766 4003149 5337532 8006298 12009447 16012596 24018894 36028341 48037788 72056682 144113364