Search a number
-
+
12243240144 = 243289955309
BaseRepresentation
bin10110110011100000…
…10000010011010000
31011121020211001002200
423121300100103100
5200033232141034
65342515043200
7612253552452
oct133160202320
934536731080
1012243240144
115212a98593
1224582a0500
13120167b3c5
148420582d2
154b9cbba99
hex2d9c104d0

12243240144 has 60 divisors (see below), whose sum is σ = 34649093700. Its totient is φ = 4035220992.

The previous prime is 12243240091. The next prime is 12243240157. The reversal of 12243240144 is 44104234221.

12243240144 is a `hidden beast` number, since 1 + 224 + 32 + 401 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2019603600 + 10223636544 = 44940^2 + 101112^2 .

It is a congruent number.

It is an unprimeable number.

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, 464839 + ... + 490470.

It is an arithmetic number, because the mean of its divisors is an integer number (577484895).

Almost surely, 212243240144 is an apocalyptic number.

It is an amenable number.

12243240144 is an abundant number, since it is smaller than the sum of its proper divisors (22405853556).

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

12243240144 is a wasteful number, since it uses less digits than its factorization.

12243240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955412 (or 955403 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12243240144 its reverse (44104234221), we get a palindrome (56347474365).

The spelling of 12243240144 in words is "twelve billion, two hundred forty-three million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 6408 12816 955309 1910618 2865927 3821236 5731854 7642472 8597781 11463708 15284944 17195562 22927416 34391124 45854832 68782248 85022501 137564496 170045002 255067503 340090004 510135006 680180008 765202509 1020270012 1360360016 1530405018 2040540024 3060810036 4081080048 6121620072 12243240144