Search a number
-
+
242015435203253 = 6111968613314893
BaseRepresentation
bin110111000001110010011100…
…000010111010001010110101
31011201220110010210110111011112
4313001302130002322022311
5223210140102403001003
62214420204524444405
7101656016045060105
oct6701623402721265
91151813123414145
10242015435203253
117012819592a928
12231882676a9705
13a506c5ab5276a
1443a98768dd205
151cea59bdb73d8
hexdc1c9c0ba2b5

242015435203253 has 8 divisors (see below), whose sum is σ = 245983181082936. Its totient is φ = 238047698347200.

The previous prime is 242015435203219. The next prime is 242015435203259. The reversal of 242015435203253 is 352302534510242.

It can be written as a sum of positive squares in 4 ways, for example, as 10546535536849 + 231468899666404 = 3247543^2 + 15214102^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 242015435203253 - 26 = 242015435203189 is a prime.

It is a super-4 number, since 4×2420154352032534 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 242015435203253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242015435203259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71351075 + ... + 74665967.

It is an arithmetic number, because the mean of its divisors is an integer number (30747897635367).

Almost surely, 2242015435203253 is an apocalyptic number.

It is an amenable number.

242015435203253 is a deficient number, since it is larger than the sum of its proper divisors (3967745879683).

242015435203253 is a wasteful number, since it uses less digits than its factorization.

242015435203253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511815.

The product of its (nonzero) digits is 864000, while the sum is 41.

Adding to 242015435203253 its reverse (352302534510242), we get a palindrome (594317969713495).

The spelling of 242015435203253 in words is "two hundred forty-two trillion, fifteen billion, four hundred thirty-five million, two hundred three thousand, two hundred fifty-three".

Divisors: 1 61 1196861 3314893 73008521 202208473 3967466150873 242015435203253