Search a number
-
+
12444844524 = 2237148152911
BaseRepresentation
bin10111001011100010…
…10100000111101100
31012010022011121022120
423211301110013230
5200441340011044
65414520112540
7620252301360
oct134561240754
935108147276
1012444844524
115306876982
1224b3905750
131234377a38
14860b372a0
154cc841519
hex2e5c541ec

12444844524 has 24 divisors (see below), whose sum is σ = 33186252288. Its totient is φ = 3555669840.

The previous prime is 12444844487. The next prime is 12444844549. The reversal of 12444844524 is 42544844421.

12444844524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 7 ways as a sum of consecutive naturals, for example, 74076372 + ... + 74076539.

It is an arithmetic number, because the mean of its divisors is an integer number (1382760512).

Almost surely, 212444844524 is an apocalyptic number.

12444844524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12444844524 is an abundant number, since it is smaller than the sum of its proper divisors (20741407764).

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

12444844524 is a wasteful number, since it uses less digits than its factorization.

12444844524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148152925 (or 148152923 counting only the distinct ones).

The product of its digits is 655360, while the sum is 42.

The spelling of 12444844524 in words is "twelve billion, four hundred forty-four million, eight hundred forty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 148152911 296305822 444458733 592611644 888917466 1037070377 1777834932 2074140754 3111211131 4148281508 6222422262 12444844524