Search a number
-
+
144214432 = 2543311337
BaseRepresentation
bin10001001100010…
…00100110100000
3101001100212000021
420212020212200
5243404330212
622151003224
73400542145
oct1046104640
9331325007
10144214432
117445048a
1240369514
1323b546ab
14152203cc
15c9da307
hex89889a0

144214432 has 48 divisors (see below), whose sum is σ = 292324032. Its totient is φ = 69995520.

The previous prime is 144214429. The next prime is 144214457. The reversal of 144214432 is 234412441.

It is a junction number, because it is equal to n+sod(n) for n = 144214397 and 144214406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427768 + ... + 428104.

It is an arithmetic number, because the mean of its divisors is an integer number (6090084).

Almost surely, 2144214432 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 144214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146162016).

144214432 is an abundant number, since it is smaller than the sum of its proper divisors (148109600).

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

144214432 is a wasteful number, since it uses less digits than its factorization.

144214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 693 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 144214432 is about 12008.9313429630. The cubic root of 144214432 is about 524.4083214823.

Adding to 144214432 its reverse (234412441), we get a palindrome (378626873).

The spelling of 144214432 in words is "one hundred forty-four million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 86 172 311 337 344 622 674 688 1244 1348 1376 2488 2696 4976 5392 9952 10784 13373 14491 26746 28982 53492 57964 104807 106984 115928 209614 213968 231856 419228 427936 463712 838456 1676912 3353824 4506701 9013402 18026804 36053608 72107216 144214432