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241224303422142 = 23237418834113507
BaseRepresentation
bin110110110110010001101000…
…111010101010101010111110
31011122002211002110102221111100
4312312101220322222222332
5223104204333134002032
62213012525401033530
7101544611053636455
oct6666215072525276
91148084073387440
10241224303422142
116a95271a639257
122307aa771858a6
13a47a47b265cb1
14437d466287b9c
151cd4be742097c
hexdb6468eaaabe

241224303422142 has 48 divisors (see below), whose sum is σ = 549870561191952. Its totient is φ = 76326740691840.

The previous prime is 241224303422099. The next prime is 241224303422173.

241224303422142 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 2 + 430 + 3 + 4 + 2 + 214 + 2 = 666.

241224303422142 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2412243034221422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241224303422097 and 241224303422106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4417029448 + ... + 4417084059.

It is an arithmetic number, because the mean of its divisors is an integer number (11455636691499).

Almost surely, 2241224303422142 is an apocalyptic number.

241224303422142 is an abundant number, since it is smaller than the sum of its proper divisors (308646257769810).

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

241224303422142 is a wasteful number, since it uses less digits than its factorization.

241224303422142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8834113593 (or 8834113590 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 24122430 and 3422142, that added together give a palindrome (27544572).

The spelling of 241224303422142 in words is "two hundred forty-one trillion, two hundred twenty-four billion, three hundred three million, four hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 37 41 74 82 111 123 222 246 333 369 666 738 1517 3034 4551 9102 13653 27306 8834113507 17668227014 26502340521 53004681042 79507021563 159014043126 326862199759 362198653787 653724399518 724397307574 980586599277 1086595961361 1961173198554 2173191922722 2941759797831 3259787884083 5883519595662 6519575768166 13401350190119 26802700380238 40204050570357 80408101140714 120612151711071 241224303422142