Search a number
-
+
144771742224 = 24326715005363
BaseRepresentation
bin1000011011010100010…
…0010111101000010000
3111211200101120111111200
42012311010113220100
54332443031222344
6150301320511200
713313402335134
oct2066504275020
9454611514450
10144771742224
115644096875a
122408391b500
13108623515c5
1470152733c4
153b74adb069
hex21b5117a10

144771742224 has 60 divisors (see below), whose sum is σ = 411206995056. Its totient is φ = 47536986816.

The previous prime is 144771742207. The next prime is 144771742249. The reversal of 144771742224 is 422247177441.

144771742224 is a `hidden beast` number, since 1 + 4 + 477 + 174 + 2 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 144771742224.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7493034 + ... + 7512329.

Almost surely, 2144771742224 is an apocalyptic number.

It is an amenable number.

144771742224 is an abundant number, since it is smaller than the sum of its proper divisors (266435252832).

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

144771742224 is a wasteful number, since it uses less digits than its factorization.

144771742224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15005444 (or 15005435 counting only the distinct ones).

The product of its digits is 702464, while the sum is 45.

The spelling of 144771742224 in words is "one hundred forty-four billion, seven hundred seventy-one million, seven hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 9648 15005363 30010726 45016089 60021452 90032178 120042904 135048267 180064356 240085808 270096534 360128712 540193068 720257424 1005359321 1080386136 2010718642 2160772272 3016077963 4021437284 6032155926 8042874568 9048233889 12064311852 16085749136 18096467778 24128623704 36192935556 48257247408 72385871112 144771742224