Search a number
-
+
12444112044 = 22327133798569
BaseRepresentation
bin10111001011011101…
…00001010010101100
31012010020210101112200
423211232201102230
5200441143041134
65414452301500
7620243131020
oct134556412254
935106711480
1012444112044
115306416621
1224b3611890
13123417c510
148609c6380
154cc749499
hex2e5ba14ac

12444112044 has 72 divisors (see below), whose sum is σ = 38715025440. Its totient is φ = 3281962752.

The previous prime is 12444111991. The next prime is 12444112067. The reversal of 12444112044 is 44021144421.

It is a happy number.

12444112044 is a `hidden beast` number, since 1 + 2 + 44 + 411 + 204 + 4 = 666.

12444112044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12444111999 and 12444112017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1896009 + ... + 1902560.

Almost surely, 212444112044 is an apocalyptic number.

12444112044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12444112044 is an abundant number, since it is smaller than the sum of its proper divisors (26270913396).

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

12444112044 is a wasteful number, since it uses less digits than its factorization.

12444112044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798599 (or 3798594 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 12444112044 its reverse (44021144421), we get a palindrome (56465256465).

The spelling of 12444112044 in words is "twelve billion, four hundred forty-four million, one hundred twelve thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 3798569 7597138 11395707 15194276 22791414 26589983 34187121 45582828 49381397 53179966 68374242 79769949 98762794 106359932 136748484 148144191 159539898 197525588 239309847 296288382 319079796 345669779 444432573 478619694 592576764 691339558 888865146 957239388 1037009337 1382679116 1777730292 2074018674 3111028011 4148037348 6222056022 12444112044