Search a number
-
+
144453414 = 23741149563
BaseRepresentation
bin10001001110000…
…10111100100110
3101001210222211110
420213002330212
5243440002124
622200045450
73402555660
oct1047027446
9331728743
10144453414
11745a3a96
1240463886
1323c093c1
1415283530
15ca36029
hex89c2f26

144453414 has 64 divisors (see below), whose sum is σ = 341107200. Its totient is φ = 39924480.

The previous prime is 144453391. The next prime is 144453431. The reversal of 144453414 is 414354441.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256297 + ... + 256859.

It is an arithmetic number, because the mean of its divisors is an integer number (5329800).

Almost surely, 2144453414 is an apocalyptic number.

144453414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144453414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170553600).

144453414 is an abundant number, since it is smaller than the sum of its proper divisors (196653786).

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

144453414 is a wasteful number, since it uses less digits than its factorization.

144453414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765.

The product of its digits is 15360, while the sum is 30.

The square root of 144453414 is about 12018.8774018209. The cubic root of 144453414 is about 524.6978324679.

The spelling of 144453414 in words is "one hundred forty-four million, four hundred fifty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 149 246 287 298 447 563 574 861 894 1043 1126 1689 1722 2086 3129 3378 3941 6109 6258 7882 11823 12218 18327 23083 23646 36654 42763 46166 69249 83887 85526 128289 138498 161581 167774 251661 256578 323162 484743 503322 587209 969486 1174418 1761627 3439367 3523254 6878734 10318101 20636202 24075569 48151138 72226707 144453414