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1344414052242 = 2331031433168677
BaseRepresentation
bin10011100100000101010…
…100100110111110010010
311202112011112020002002000
4103210011110212332102
5134011324444132432
62505340522534430
7166062555615222
oct23440524467622
94675145202060
101344414052242
11479187757a98
12198681667416
1399a157bcb21
14490da08c082
1524e881be57c
hex13905526f92

1344414052242 has 64 divisors (see below), whose sum is σ = 3018715464960. Its totient is φ = 443474842752.

The previous prime is 1344414052229. The next prime is 1344414052253. The reversal of 1344414052242 is 2422504144431.

1344414052242 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 4 + 1 + 405 + 2 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1344414052197 and 1344414052206.

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 31 ways as a sum of consecutive naturals, for example, 7886008 + ... + 8054684.

It is an arithmetic number, because the mean of its divisors is an integer number (47167429140).

Almost surely, 21344414052242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344414052242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509357732480).

1344414052242 is an abundant number, since it is smaller than the sum of its proper divisors (1674301412718).

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

1344414052242 is a wasteful number, since it uses less digits than its factorization.

1344414052242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170224 (or 170218 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 1344414052242 its reverse (2422504144431), we get a palindrome (3766918196673).

The spelling of 1344414052242 in words is "one trillion, three hundred forty-four billion, four hundred fourteen million, fifty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 618 927 1433 1854 2781 2866 4299 5562 8598 12897 25794 38691 77382 147599 168677 295198 337354 442797 506031 885594 1012062 1328391 1518093 2656782 3036186 3985173 4554279 7970346 9108558 17373731 34747462 52121193 104242386 156363579 241714141 312727158 469090737 483428282 725142423 938181474 1450284846 2175427269 4350854538 6526281807 13052563614 24896556523 49793113046 74689669569 149379339138 224069008707 448138017414 672207026121 1344414052242