Search a number
-
+
144301456 = 2413693757
BaseRepresentation
bin10001001100111…
…01110110010000
3101001112021101101
420212131312100
5243420121311
622152514144
73401353645
oct1046356620
9331467341
10144301456
11744aa902
12403ab954
1323b851a0
1415243dcc
15ca05ec1
hex899dd90

144301456 has 20 divisors (see below), whose sum is σ = 301090972. Its totient is φ = 66600576.

The previous prime is 144301429. The next prime is 144301459. The reversal of 144301456 is 654103441.

It can be written as a sum of positive squares in 2 ways, for example, as 10112400 + 134189056 = 3180^2 + 11584^2 .

It is not an unprimeable number, because it can be changed into a prime (144301459) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 346671 + ... + 347086.

Almost surely, 2144301456 is an apocalyptic number.

144301456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144301456 is an abundant number, since it is smaller than the sum of its proper divisors (156789516).

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

144301456 is a wasteful number, since it uses less digits than its factorization.

144301456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693778 (or 693772 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 144301456 is about 12012.5540997741. The cubic root of 144301456 is about 524.5137823407.

Adding to 144301456 its reverse (654103441), we get a palindrome (798404897).

The spelling of 144301456 in words is "one hundred forty-four million, three hundred one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 693757 1387514 2775028 5550056 9018841 11100112 18037682 36075364 72150728 144301456