Search a number
-
+
242122253445 = 32512174421113
BaseRepresentation
bin1110000101111110011…
…1000110010010000101
3212010221220201212102100
43201133213012102011
512431331244102240
6303121320102313
723331005124432
oct3413747062205
9763856655370
10242122253445
1193757777706
123ab12304999
1319aa7c815b7
14ba0c48cb89
15647141be30
hex385f9c6485

242122253445 has 24 divisors (see below), whose sum is σ = 420023514456. Its totient is φ = 129025732608.

The previous prime is 242122253423. The next prime is 242122253453. The reversal of 242122253445 is 544352221242.

242122253445 is a `hidden beast` number, since 2 + 42 + 122 + 2 + 53 + 445 = 666.

242122253445 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 4 ways, for example, as 4284618849 + 237837634596 = 65457^2 + 487686^2 .

It is not a de Polignac number, because 242122253445 - 28 = 242122253189 is a prime.

It is a super-2 number, since 2×2421222534452 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2155792 + ... + 2265321.

It is an arithmetic number, because the mean of its divisors is an integer number (17500979769).

Almost surely, 2242122253445 is an apocalyptic number.

It is an amenable number.

242122253445 is a deficient number, since it is larger than the sum of its proper divisors (177901261011).

242122253445 is a wasteful number, since it uses less digits than its factorization.

242122253445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422341 (or 4422338 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

Adding to 242122253445 its reverse (544352221242), we get a palindrome (786474474687).

The spelling of 242122253445 in words is "two hundred forty-two billion, one hundred twenty-two million, two hundred fifty-three thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 1217 3651 6085 10953 18255 54765 4421113 13263339 22105565 39790017 66316695 198950085 5380494521 16141483563 26902472605 48424450689 80707417815 242122253445