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242065425312 = 2532840504949
BaseRepresentation
bin1110000101110000111…
…0010100001110100000
3212010210221210200212200
43201130032110032200
512431222222102222
6303111530053200
723326415110644
oct3413416241640
9763727720780
10242065425312
1193728692907
123aab727a200
1319a99275299
14ba04ad8c24
15646b443eac
hex385c3943a0

242065425312 has 36 divisors (see below), whose sum is σ = 688373554050. Its totient is φ = 80688475008.

The previous prime is 242065425223. The next prime is 242065425319. The reversal of 242065425312 is 213524560242.

242065425312 is a `hidden beast` number, since 2 + 4 + 20 + 65 + 42 + 531 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 188109568656 + 53955856656 = 433716^2 + 232284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242065425319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 420252187 + ... + 420252762.

Almost surely, 2242065425312 is an apocalyptic number.

It is an amenable number.

242065425312 is an abundant number, since it is smaller than the sum of its proper divisors (446308128738).

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

242065425312 is a wasteful number, since it uses less digits than its factorization.

242065425312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840504965 (or 840504954 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 242065425312 its reverse (213524560242), we get a palindrome (455589985554).

The spelling of 242065425312 in words is "two hundred forty-two billion, sixty-five million, four hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 840504949 1681009898 2521514847 3362019796 5043029694 6724039592 7564544541 10086059388 13448079184 15129089082 20172118776 26896158368 30258178164 40344237552 60516356328 80688475104 121032712656 242065425312