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242607706242 = 231122916051853
BaseRepresentation
bin1110000111110010001…
…0111101000010000010
3212012012202012102110120
43201330202331002002
512433330033044432
6303241421041110
723346021322626
oct3417442750202
9765182172416
10242607706242
11939867a8570
123b0289b6196
1319b54712185
14ba56b39186
15649dd5ec2c
hex387c8bd082

242607706242 has 32 divisors (see below), whose sum is σ = 531637404480. Its totient is φ = 73196445120.

The previous prime is 242607706193. The next prime is 242607706259.

242607706242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242607706194 and 242607706203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8010813 + ... + 8041040.

It is an arithmetic number, because the mean of its divisors is an integer number (16613668890).

Almost surely, 2242607706242 is an apocalyptic number.

242607706242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242607706242 is an abundant number, since it is smaller than the sum of its proper divisors (289029698238).

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

242607706242 is a wasteful number, since it uses less digits than its factorization.

242607706242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16052098.

The product of its (nonzero) digits is 451584, while the sum is 42.

It can be divided in two parts, 242607 and 706242, that added together give a palindrome (948849).

The spelling of 242607706242 in words is "two hundred forty-two billion, six hundred seven million, seven hundred six thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 229 458 687 1374 2519 5038 7557 15114 16051853 32103706 48155559 96311118 176570383 353140766 529711149 1059422298 3675874337 7351748674 11027623011 22055246022 40434617707 80869235414 121303853121 242607706242