Search a number
-
+
242122144004 = 221317926012263
BaseRepresentation
bin1110000101111110011…
…0101011100100000100
3212010221220112022021222
43201133212223210010
512431331232102004
6303121313455512
723331004160366
oct3413746534404
9763856468258
10242122144004
1193757702464
123ab12271598
1319aa7c43840
14ba0c460d36
1564713e97be
hex385f9ab904

242122144004 has 24 divisors (see below), whose sum is σ = 458856336960. Its totient is φ = 111124383264.

The previous prime is 242122143979. The next prime is 242122144039. The reversal of 242122144004 is 400441221242.

It is a happy number.

242122144004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 7 ways as a sum of consecutive naturals, for example, 12996824 + ... + 13015439.

It is an arithmetic number, because the mean of its divisors is an integer number (19119014040).

Almost surely, 2242122144004 is an apocalyptic number.

It is an amenable number.

242122144004 is a deficient number, since it is larger than the sum of its proper divisors (216734192956).

242122144004 is a wasteful number, since it uses less digits than its factorization.

242122144004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26012459 (or 26012457 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 242122144004 its reverse (400441221242), we get a palindrome (642563365246).

The spelling of 242122144004 in words is "two hundred forty-two billion, one hundred twenty-two million, one hundred forty-four thousand, four".

Divisors: 1 2 4 13 26 52 179 358 716 2327 4654 9308 26012263 52024526 104049052 338159419 676318838 1352637676 4656195077 9312390154 18624780308 60530536001 121061072002 242122144004