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242661166242 = 23116415735857
BaseRepresentation
bin1110000111111110111…
…0111000110010100010
3212012100110210110210120
43201333232320302202
512433432224304432
6303251010541110
723350240610655
oct3417756706242
9765313713716
10242661166242
1193a039a1890
123b042897796
1319b6280c401
14ba5dc9389c
1564a38bec2c
hex387fbb8ca2

242661166242 has 32 divisors (see below), whose sum is σ = 530268600384. Its totient is φ = 73418956800.

The previous prime is 242661166211. The next prime is 242661166313.

242661166242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242661166194 and 242661166203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2825623 + ... + 2910234.

It is an arithmetic number, because the mean of its divisors is an integer number (16570893762).

Almost surely, 2242661166242 is an apocalyptic number.

242661166242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242661166242 is an abundant number, since it is smaller than the sum of its proper divisors (287607434142).

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

242661166242 is a wasteful number, since it uses less digits than its factorization.

242661166242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5736514.

The product of its digits is 331776, while the sum is 42.

The spelling of 242661166242 in words is "two hundred forty-two billion, six hundred sixty-one million, one hundred sixty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 641 1282 1923 3846 7051 14102 21153 42306 5735857 11471714 17207571 34415142 63094427 126188854 189283281 378566562 3676684337 7353368674 11030053011 22060106022 40443527707 80887055414 121330583121 242661166242