Search a number
-
+
1024243413012 = 223228619944497
BaseRepresentation
bin11101110011110011010…
…10100011000000010100
310121220202021200102001200
432321321222203000110
5113240122303204022
62102310402552500
7133666464235311
oct16717152430024
93556667612050
101024243413012
11365419782a16
12146609068730
137577cb3c341
1437806125d08
151b999cd9bac
hexee79aa3014

1024243413012 has 36 divisors (see below), whose sum is σ = 2589964948116. Its totient is φ = 341295102720.

The previous prime is 1024243412981. The next prime is 1024243413031. The reversal of 1024243413012 is 2103143424201.

1024243413012 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 243 + 413 + 0 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 639689637636 + 384553775376 = 799806^2 + 620124^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4869253 + ... + 5075244.

It is an arithmetic number, because the mean of its divisors is an integer number (71943470781).

Almost surely, 21024243413012 is an apocalyptic number.

1024243413012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1024243413012 is an abundant number, since it is smaller than the sum of its proper divisors (1565721535104).

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

1024243413012 is a wasteful number, since it uses less digits than its factorization.

1024243413012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9947368 (or 9947363 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1024243413012 its reverse (2103143424201), we get a palindrome (3127386837213).

The spelling of 1024243413012 in words is "one trillion, twenty-four billion, two hundred forty-three million, four hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2861 5722 8583 11444 17166 25749 34332 51498 102996 9944497 19888994 29833491 39777988 59666982 89500473 119333964 179000946 358001892 28451205917 56902411834 85353617751 113804823668 170707235502 256060853253 341414471004 512121706506 1024243413012