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242511041434025 = 52721359258107167
BaseRepresentation
bin110111001001000000000000…
…011110101001000110101001
31011210122211101110000121010102
4313021000000132221012221
5223241300103101342100
62215440011234155145
7102036562452401600
oct6711000036510651
91153584343017112
10242511041434025
11702a939a704491
1223248321122ab5
13a54190190c590
1443c585038aa37
151d08406de2cd5
hexdc90007a91a9

242511041434025 has 72 divisors (see below), whose sum is σ = 383103307319040. Its totient is φ = 150899773530240.

The previous prime is 242511041433923. The next prime is 242511041434027. The reversal of 242511041434025 is 520434140115242.

It is not a de Polignac number, because 242511041434025 - 212 = 242511041429929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 242511041434025.

It is not an unprimeable number, because it can be changed into a prime (242511041434027) 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 71 ways as a sum of consecutive naturals, for example, 128114009 + ... + 129993158.

It is an arithmetic number, because the mean of its divisors is an integer number (5320879268320).

Almost surely, 2242511041434025 is an apocalyptic number.

242511041434025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242511041434025 is a deficient number, since it is larger than the sum of its proper divisors (140592265885015).

242511041434025 is a wasteful number, since it uses less digits than its factorization.

242511041434025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258107263 (or 258107251 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

Adding to 242511041434025 its reverse (520434140115242), we get a palindrome (762945181549267).

The spelling of 242511041434025 in words is "two hundred forty-two trillion, five hundred eleven billion, forty-one million, four hundred thirty-four thousand, twenty-five".

Divisors: 1 5 7 13 25 35 49 59 65 91 175 245 295 325 413 455 637 767 1225 1475 2065 2275 2891 3185 3835 5369 10325 14455 15925 19175 26845 37583 72275 134225 187915 939575 258107167 1290535835 1806750169 3355393171 6452679175 9033750845 12647251183 15228322853 16776965855 23487752197 45168754225 63236255915 76141614265 83884829275 106598259971 117438760985 164414265379 197968197089 316181279575 380708071325 532991299855 587193804925 746187819797 822071326895 989840985445 1385777379623 2664956499275 3730939098985 4110356634475 4949204927225 6928886898115 9700441657361 18654695494925 34644434490575 48502208286805 242511041434025