Search a number
-
+
244770522144 = 2538632954453
BaseRepresentation
bin1110001111110101110…
…1011100010000100000
3212101210110220212010020
43203331131130100200
513002242223202034
6304240201433440
723453433052431
oct3437535342040
9771713825106
10244770522144
1194896640125
123b53119b880
131a10a8248b5
14bbc0097488
156578b84249
hex38fd75c420

244770522144 has 48 divisors (see below), whose sum is σ = 643267360512. Its totient is φ = 81495603968.

The previous prime is 244770522137. The next prime is 244770522169. The reversal of 244770522144 is 441225077442.

244770522144 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 244770522096 and 244770522105.

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 7 ways as a sum of consecutive naturals, for example, 1394379 + ... + 1560074.

It is an arithmetic number, because the mean of its divisors is an integer number (13401403344).

Almost surely, 2244770522144 is an apocalyptic number.

244770522144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

244770522144 is an abundant number, since it is smaller than the sum of its proper divisors (398496838368).

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

244770522144 is a wasteful number, since it uses less digits than its factorization.

244770522144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955329 (or 2955321 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 42.

Adding to 244770522144 its reverse (441225077442), we get a palindrome (685995599586).

The spelling of 244770522144 in words is "two hundred forty-four billion, seven hundred seventy million, five hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 863 1726 2589 3452 5178 6904 10356 13808 20712 27616 41424 82848 2954453 5908906 8863359 11817812 17726718 23635624 35453436 47271248 70906872 94542496 141813744 283627488 2549692939 5099385878 7649078817 10198771756 15298157634 20397543512 30596315268 40795087024 61192630536 81590174048 122385261072 244770522144