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242314141413242 = 21498091005110881
BaseRepresentation
bin110111000110001000101000…
…010100101010111101111010
31011202222000011010220011200002
4313012020220110222331322
5223230033330200210432
62215205325123313002
7102016422213005063
oct6706105024527572
91152860133804602
10242314141413242
1170232939790588
122321612b81b762
13a52918290bb42
1443ba0d1c9956a
151d03230bb0e62
hexdc622852af7a

242314141413242 has 16 divisors (see below), whose sum is σ = 366362916489000. Its totient is φ = 120195179473920.

The previous prime is 242314141413229. The next prime is 242314141413269.

242314141413242 is nontrivially palindromic in base 10.

242314141413242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 146408765802601 + 95905375610641 = 12099949^2 + 9793129^2 .

It is a super-2 number, since 2×2423141414132422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242314141413196 and 242314141413205.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502314359 + ... + 502796522.

Almost surely, 2242314141413242 is an apocalyptic number.

242314141413242 is a deficient number, since it is larger than the sum of its proper divisors (124048775075758).

242314141413242 is a wasteful number, since it uses less digits than its factorization.

242314141413242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005111841.

The product of its digits is 147456, while the sum is 38.

The spelling of 242314141413242 in words is "two hundred forty-two trillion, three hundred fourteen billion, one hundred forty-one million, four hundred thirteen thousand, two hundred forty-two".

Divisors: 1 2 149 298 809 1618 120541 241082 1005110881 2010221762 149761521269 299523042538 813134702729 1626269405458 121157070706621 242314141413242