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242440332132131 = 7418211028915753
BaseRepresentation
bin110111000111111110001001…
…111000000011111100100011
31011210102001212120222212222022
4313013332021320003330203
5223234120300011212011
62215343315004332055
7102031510303266440
oct6707761170037443
91153361776885868
10242440332132131
117028140509a401
122323668884402b
13a538043549983
1443c22634989c7
151d066693c38db
hexdc7f89e03f23

242440332132131 has 16 divisors (see below), whose sum is σ = 284178299928768. Its totient is φ = 202490619993600.

The previous prime is 242440332132121. The next prime is 242440332132269. The reversal of 242440332132131 is 131231233044242.

It is a happy number.

It is not a de Polignac number, because 242440332132131 - 26 = 242440332132067 is a prime.

It is a super-2 number, since 2×2424403321321312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242440332132091 and 242440332132100.

It is not an unprimeable number, because it can be changed into a prime (242440332132121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514222250 + ... + 514693503.

It is an arithmetic number, because the mean of its divisors is an integer number (17761143745548).

Almost surely, 2242440332132131 is an apocalyptic number.

242440332132131 is a deficient number, since it is larger than the sum of its proper divisors (41737967796637).

242440332132131 is a wasteful number, since it uses less digits than its factorization.

242440332132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028916622.

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 242440332132131 its reverse (131231233044242), we get a palindrome (373671565176373).

The spelling of 242440332132131 in words is "two hundred forty-two trillion, four hundred forty billion, three hundred thirty-two million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 7 41 287 821 5747 33661 235627 1028915753 7202410271 42185545873 295298821111 844739833213 5913178832491 34634333161733 242440332132131