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242314242453 = 32173541287669
BaseRepresentation
bin1110000110101100001…
…1011110100110010101
3212011110021222220211100
43201223003132212111
512432224421224303
6303152335100313
723335526035233
oct3415303364625
9764407886740
10242314242453
1193846088908
123ab66671699
1319b0899246a
14ba29b87953
1564831e28a3
hex386b0de995

242314242453 has 24 divisors (see below), whose sum is σ = 352684570680. Its totient is φ = 160311623040.

The previous prime is 242314242449. The next prime is 242314242461. The reversal of 242314242453 is 354242413242.

242314242453 is a `hidden beast` number, since 2 + 4 + 23 + 142 + 42 + 453 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 149349012849 + 92965229604 = 386457^2 + 304902^2 .

It is not a de Polignac number, because 242314242453 - 22 = 242314242449 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242314242403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 698503 + ... + 986171.

It is an arithmetic number, because the mean of its divisors is an integer number (14695190445).

Almost surely, 2242314242453 is an apocalyptic number.

It is an amenable number.

242314242453 is a deficient number, since it is larger than the sum of its proper divisors (110370328227).

242314242453 is a wasteful number, since it uses less digits than its factorization.

242314242453 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288389 (or 288386 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

Adding to 242314242453 its reverse (354242413242), we get a palindrome (596556655695).

The spelling of 242314242453 in words is "two hundred forty-two billion, three hundred fourteen million, two hundred forty-two thousand, four hundred fifty-three".

Divisors: 1 3 9 173 519 541 1557 1623 4869 93593 280779 287669 842337 863007 2589021 49766737 149300211 155628929 447900633 466886787 1400660361 26923804717 80771414151 242314242453