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241623326142 = 232113740078231
BaseRepresentation
bin1110000100000111011…
…1110101110110111110
3212002200010220201211100
43201001313311312332
512424321032414032
6303000014233530
723312436246042
oct3410167656676
9762603821740
10241623326142
11935210831a0
123a9b31b58a6
1319a287b3843
14b9a20d6022
15644271697c
hex3841df5dbe

241623326142 has 96 divisors (see below), whose sum is σ = 586762735104. Its totient is φ = 71213860800.

The previous prime is 241623326129. The next prime is 241623326149.

241623326142 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 2 + 3 + 32 + 614 + 2 = 666.

241623326142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 241623326097 and 241623326106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241623326149) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29351167 + ... + 29359397.

It is an arithmetic number, because the mean of its divisors is an integer number (6112111824).

Almost surely, 2241623326142 is an apocalyptic number.

241623326142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 241623326142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293381367552).

241623326142 is an abundant number, since it is smaller than the sum of its proper divisors (345139408962).

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

241623326142 is a wasteful number, since it uses less digits than its factorization.

241623326142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12294 (or 12291 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 241623 and 326142, that added together give a palindrome (567765).

The spelling of 241623326142 in words is "two hundred forty-one billion, six hundred twenty-three million, three hundred twenty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 4007 7326 8014 8231 12021 16462 24042 24693 36063 44077 49386 72126 74079 88154 90541 132231 148158 148259 181082 264462 271623 296518 304547 396693 444777 543246 609094 793386 814869 889554 913641 1334331 1629738 1630849 1827282 2668662 2740923 3261698 3350017 4892547 5481846 6700034 9785094 10050051 14677641 20100102 29355282 30150153 32981617 60300306 65963234 98944851 197889702 296834553 362797787 593669106 725595574 1088393361 1220319829 2176786722 2440639658 3265180083 3660959487 6530360166 7321918974 10982878461 13423518119 21965756922 26847036238 40270554357 80541108714 120811663071 241623326142