Search a number
-
+
144535104 = 263472569
BaseRepresentation
bin10001001110101…
…10111001000000
3101001222010220000
420213112321000
5244000110404
622201520000
73403346100
oct1047267100
9331863800
10144535104
117464a3aa
12404a3000
1323c3763c
14152a5200
15ca50339
hex89d6e40

144535104 has 210 divisors, whose sum is σ = 499273830. Its totient is φ = 41223168.

The previous prime is 144535103. The next prime is 144535117. The reversal of 144535104 is 401535441.

It is a happy number.

144535104 is a `hidden beast` number, since 144 + 5 + 3 + 510 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 42928704 = 10080^2 + 6552^2 .

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

It is not an unprimeable number, because it can be changed into a prime (144535103) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253732 + ... + 254300.

Almost surely, 2144535104 is an apocalyptic number.

144535104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249636915).

144535104 is an abundant number, since it is smaller than the sum of its proper divisors (354738726).

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

144535104 is an equidigital number, since it uses as much as digits as its factorization.

144535104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 144535104 is about 12022.2753254116. The cubic root of 144535104 is about 524.7967213012.

The spelling of 144535104 in words is "one hundred forty-four million, five hundred thirty-five thousand, one hundred four".