Search a number
-
+
1224242343440 = 24562273245741
BaseRepresentation
bin10001110100001010100…
…001111010111000010000
311100000222112221202101022
4101310022201322320100
5130024222014442230
62334224214055012
7154306603136114
oct21641241727020
94300875852338
101224242343440
1143221a983576
1217932434a468
138b5a3b7571c
144337a009744
1521ca30ec1e5
hex11d0a87ae10

1224242343440 has 40 divisors (see below), whose sum is σ = 2846420739288. Its totient is φ = 489687080960.

The previous prime is 1224242343427. The next prime is 1224242343521. The reversal of 1224242343440 is 443432424221.

It can be written as a sum of positive squares in 4 ways, for example, as 20842119424 + 1203400224016 = 144368^2 + 1096996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×12242423434402 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1224242343440.

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, 4858970 + ... + 5104710.

Almost surely, 21224242343440 is an apocalyptic number.

1224242343440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1224242343440 is an abundant number, since it is smaller than the sum of its proper divisors (1622178395848).

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

1224242343440 is a wasteful number, since it uses less digits than its factorization.

1224242343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308027 (or 308021 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 1224242343440 its reverse (443432424221), we get a palindrome (1667674767661).

The spelling of 1224242343440 in words is "one trillion, two hundred twenty-four billion, two hundred forty-two million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 62273 124546 245741 249092 311365 491482 498184 622730 982964 996368 1228705 1245460 1965928 2457410 2490920 3931856 4914820 4981840 9829640 19659280 15303029293 30606058586 61212117172 76515146465 122424234344 153030292930 244848468688 306060585860 612121171720 1224242343440