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242312431042431 = 3880945651719
BaseRepresentation
bin110111000110000111000010…
…011000000111111101111111
31011202221211201221112100000000
4313012013002120013331333
5223230021324321324211
62215204443304205343
7102016331634050211
oct6706070230077577
91152854657470000
10242312431042431
1170232141284692
1223215932a69853
13a528c6c470cc9
1443b9daca745b1
151d0318095e656
hexdc61c2607f7f

242312431042431 has 36 divisors (see below), whose sum is σ = 363899446981200. Its totient is φ = 161341936541856.

The previous prime is 242312431042351. The next prime is 242312431042433. The reversal of 242312431042431 is 134240134213242.

242312431042431 is a `hidden beast` number, since 2 + 4 + 2 + 312 + 4 + 310 + 4 + 24 + 3 + 1 = 666.

It is not a de Polignac number, because 242312431042431 - 27 = 242312431042303 is a prime.

It is a super-2 number, since 2×2423124310424312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242312431042433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17518011 + ... + 28133708.

It is an arithmetic number, because the mean of its divisors is an integer number (10108317971700).

Almost surely, 2242312431042431 is an apocalyptic number.

242312431042431 is a deficient number, since it is larger than the sum of its proper divisors (121587015938769).

242312431042431 is an frugal number, since it uses more digits than its factorization.

242312431042431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45652552 (or 45652531 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 242312431042431 its reverse (134240134213242), we get a palindrome (376552565255673).

The spelling of 242312431042431 in words is "two hundred forty-two trillion, three hundred twelve billion, four hundred thirty-one million, forty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 27 81 243 729 809 2187 2427 6561 7281 21843 65529 196587 589761 1769283 5307849 45651719 136955157 410865471 1232596413 3697789239 11093367717 33280103151 36932240671 99840309453 110796722013 299520928359 332390166039 997170498117 2991511494351 8974534483053 26923603449159 80770810347477 242312431042431