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242604523136 = 277325963669
BaseRepresentation
bin1110000111110001011…
…0110011111010000000
3212012012112012201001202
43201330112303322000
512433323224220021
6303241224520332
723345652264503
oct3417426637200
9765175181052
10242604523136
1193984a23aa8
123b0279200a8
1319b53b69391
14ba5654b13a
15649d931a0b
hex387c5b3e80

242604523136 has 32 divisors (see below), whose sum is σ = 489934452900. Its totient is φ = 119640582144.

The previous prime is 242604523093. The next prime is 242604523153. The reversal of 242604523136 is 631325406242.

242604523136 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 2 ways, for example, as 240217614400 + 2386908736 = 490120^2 + 48856^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 242604523136.

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 3 ways as a sum of consecutive naturals, for example, 12972491 + ... + 12991178.

Almost surely, 2242604523136 is an apocalyptic number.

It is an amenable number.

242604523136 is an abundant number, since it is smaller than the sum of its proper divisors (247329929764).

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

242604523136 is an equidigital number, since it uses as much as digits as its factorization.

242604523136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25963756 (or 25963744 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

Adding to 242604523136 its reverse (631325406242), we get a palindrome (873929929378).

The spelling of 242604523136 in words is "two hundred forty-two billion, six hundred four million, five hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 2336 4672 9344 25963669 51927338 103854676 207709352 415418704 830837408 1661674816 1895347837 3323349632 3790695674 7581391348 15162782696 30325565392 60651130784 121302261568 242604523136