Search a number
-
+
144433432 = 231113251503
BaseRepresentation
bin10001001101111…
…10000100011000
3101001202222102101
420212332010120
5243433332212
622155413144
73402443503
oct1046760430
9331688371
10144433432
117458aa80
12404541b4
1323c00290
141527a13a
15ca30157
hex89be118

144433432 has 64 divisors (see below), whose sum is σ = 320060160. Its totient is φ = 60240000.

The previous prime is 144433391. The next prime is 144433451. The reversal of 144433432 is 234334441.

144433432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1444334322 = 41722032558597248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 144433432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286893 + ... + 287395.

It is an arithmetic number, because the mean of its divisors is an integer number (5000940).

Almost surely, 2144433432 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 144433432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160030080).

144433432 is an abundant number, since it is smaller than the sum of its proper divisors (175626728).

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

144433432 is a wasteful number, since it uses less digits than its factorization.

144433432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 780 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

The square root of 144433432 is about 12018.0460974320. The cubic root of 144433432 is about 524.6736378267.

Adding to 144433432 its reverse (234334441), we get a palindrome (378767873).

The spelling of 144433432 in words is "one hundred forty-four million, four hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 251 286 502 503 572 1004 1006 1144 2008 2012 2761 3263 4024 5522 5533 6526 6539 11044 11066 13052 13078 22088 22132 26104 26156 35893 44264 52312 71786 71929 126253 143572 143858 252506 287144 287716 505012 575432 1010024 1388783 1641289 2777566 3282578 5555132 6565156 11110264 13130312 18054179 36108358 72216716 144433432