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144557505 = 3253212389
BaseRepresentation
bin10001001110111…
…00010111000001
3101002000021121200
420213130113001
5244001320010
622202211413
73403501311
oct1047342701
9332007550
10144557505
1174665214
12404b3b69
1323c448b1
14152ad441
15ca56cc0
hex89dc5c1

144557505 has 12 divisors (see below), whose sum is σ = 250566420. Its totient is φ = 77097312.

The previous prime is 144557503. The next prime is 144557509. The reversal of 144557505 is 505755441.

144557505 is a `hidden beast` number, since 144 + 5 + 5 + 7 + 505 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46131264 + 98426241 = 6792^2 + 9921^2 .

It is not a de Polignac number, because 144557505 - 21 = 144557503 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 144557505.

It is not an unprimeable number, because it can be changed into a prime (144557503) 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 11 ways as a sum of consecutive naturals, for example, 1606150 + ... + 1606239.

It is an arithmetic number, because the mean of its divisors is an integer number (20880535).

Almost surely, 2144557505 is an apocalyptic number.

144557505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144557505 is a deficient number, since it is larger than the sum of its proper divisors (106008915).

144557505 is a wasteful number, since it uses less digits than its factorization.

144557505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212400 (or 3212397 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The square root of 144557505 is about 12023.2069349238. The cubic root of 144557505 is about 524.8238320485.

The spelling of 144557505 in words is "one hundred forty-four million, five hundred fifty-seven thousand, five hundred five".

Divisors: 1 3 5 9 15 45 3212389 9637167 16061945 28911501 48185835 144557505