Search a number
-
+
242555044221 = 32719367755109
BaseRepresentation
bin1110000111100101101…
…0000100000101111101
3212012002002002220202100
43201321122010011331
512433223042403341
6303232300215313
723344511600220
oct3417132040575
9765062086670
10242555044221
1193959aa9836
123b01323a539
1319b46834209
14ba4db4b5b7
15649940b3b6
hex387968417d

242555044221 has 48 divisors (see below), whose sum is σ = 421604726400. Its totient is φ = 131269901184.

The previous prime is 242555044219. The next prime is 242555044279. The reversal of 242555044221 is 122440555242.

242555044221 is a `hidden beast` number, since 2 + 42 + 5 + 550 + 4 + 42 + 21 = 666.

242555044221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242555044221 - 21 = 242555044219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242555044621) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4373815 + ... + 4428923.

It is an arithmetic number, because the mean of its divisors is an integer number (8783431800).

Almost surely, 2242555044221 is an apocalyptic number.

242555044221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242555044221 is a deficient number, since it is larger than the sum of its proper divisors (179049682179).

242555044221 is a wasteful number, since it uses less digits than its factorization.

242555044221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58818 (or 58815 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 242555044221 its reverse (122440555242), we get a palindrome (364995599463).

The spelling of 242555044221 in words is "two hundred forty-two billion, five hundred fifty-five million, forty-four thousand, two hundred twenty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 3677 11031 25739 33093 55109 69863 77217 165327 209589 231651 385763 489041 495981 628767 1047071 1157289 1467123 3141213 3471867 4401369 7329497 9423639 21988491 65965473 202635793 607907379 1418450551 1823722137 3850080067 4255351653 11550240201 12766054959 26950560469 34650720603 80851681407 242555044221