Search a number
-
+
242054202450242 = 27213189995449333
BaseRepresentation
bin110111000010010110100010…
…110000001110000101000010
31011202001011012112212200110002
4313002112202300032011002
5223211304001311401432
62214450055425240002
7101661560533166600
oct6702264260160502
91152034175780402
10242054202450242
1170142679a41326
1223193886793002
13a50a7c86b3770
1443ab6b3492870
151ceb5ba543e62
hexdc25a2c0e142

242054202450242 has 24 divisors (see below), whose sum is σ = 454849105705596. Its totient is φ = 95757706463328.

The previous prime is 242054202450223. The next prime is 242054202450253.

242054202450242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 238022536024441 + 4031666425801 = 15427979^2 + 2007901^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242054202450196 and 242054202450205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94997723393 + ... + 94997725940.

Almost surely, 2242054202450242 is an apocalyptic number.

242054202450242 is a deficient number, since it is larger than the sum of its proper divisors (212794903255354).

242054202450242 is a wasteful number, since it uses less digits than its factorization.

242054202450242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189995449362 (or 189995449355 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 38.

It can be divided in two parts, 24205420 and 2450242, that added together give a palindrome (26655662).

The spelling of 242054202450242 in words is "two hundred forty-two trillion, fifty-four billion, two hundred two million, four hundred fifty thousand, two hundred forty-two".

Divisors: 1 2 7 13 14 26 49 91 98 182 637 1274 189995449333 379990898666 1329968145331 2469940841329 2659936290662 4939881682658 9309777017317 17289585889303 18619554034634 34579171778606 121027101225121 242054202450242