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241242101242142 = 271121310954595461
BaseRepresentation
bin110110110110100010001101…
…101111111101100100011110
31011122011112000211011212200212
4312312202031233331210132
5223110002310404222032
62213025031422052422
7101546111105624510
oct6666421557754436
91148145024155625
10241242101242142
116a95a222a89900
122308240371a112
13a47c056627c30
144380273cc5bb0
151cd53d9b8dbb2
hexdb688dbfd91e

241242101242142 has 48 divisors (see below), whose sum is σ = 489538962005856. Its totient is φ = 86760396043200.

The previous prime is 241242101242123. The next prime is 241242101242157.

241242101242142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 241242101242099 and 241242101242108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5477275709 + ... + 5477319752.

It is an arithmetic number, because the mean of its divisors is an integer number (10198728375122).

Almost surely, 2241242101242142 is an apocalyptic number.

241242101242142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241242101242142 is an abundant number, since it is smaller than the sum of its proper divisors (248296860763714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241242101242142 is a wasteful number, since it uses less digits than its factorization.

241242101242142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10954595505 (or 10954595494 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

It can be divided in two parts, 24124210 and 1242142, that added together give a palindrome (25366352).

The spelling of 241242101242142 in words is "two hundred forty-one trillion, two hundred forty-two billion, one hundred one million, two hundred forty-two thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 11011 22022 10954595461 21909190922 76682168227 120500550071 142409740993 153364336454 241001100142 284819481986 843503850497 996868186951 1325506050781 1566507150923 1687007700994 1993736373902 2651012101562 3133014301846 9278542355467 10965550056461 17231578660153 18557084710934 21931100112922 34463157320306 120621050621071 241242101242142