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242155115430125 = 5312253158103397
BaseRepresentation
bin110111000011110100100001…
…101000101100000011101101
31011202101210200100110012122112
4313003310201220230003231
5223214432134022231000
62215004305124453405
7102002062334314202
oct6703644150540355
91152353610405575
10242155115430125
1170181453764757
12231ab34a24a265
13a51718b3b2891
1443b252788bca9
151cee0249c1235
hexdc3d21a2c0ed

242155115430125 has 16 divisors (see below), whose sum is σ = 302234250098352. Its totient is φ = 193708280779200.

The previous prime is 242155115430091. The next prime is 242155115430197. The reversal of 242155115430125 is 521034511551242.

It can be written as a sum of positive squares in 8 ways, for example, as 33110334288964 + 209044781141161 = 5754158^2 + 14458381^2 .

It is a de Polignac number, because none of the positive numbers 2k-242155115430125 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 77520074 + ... + 80583323.

It is an arithmetic number, because the mean of its divisors is an integer number (18889640631147).

Almost surely, 2242155115430125 is an apocalyptic number.

242155115430125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242155115430125 is a deficient number, since it is larger than the sum of its proper divisors (60079134668227).

242155115430125 is a wasteful number, since it uses less digits than its factorization.

242155115430125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158115665 (or 158115655 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 41.

Adding to 242155115430125 its reverse (521034511551242), we get a palindrome (763189626981367).

The spelling of 242155115430125 in words is "two hundred forty-two trillion, one hundred fifty-five billion, one hundred fifteen million, four hundred thirty thousand, one hundred twenty-five".

Divisors: 1 5 25 125 12253 61265 306325 1531625 158103397 790516985 3952584925 19762924625 1937240923441 9686204617205 48431023086025 242155115430125