Search a number
-
+
4142221104 = 243761202099
BaseRepresentation
bin1111011011100101…
…0100011100110000
3101200200022122010110
43312321110130300
531440402033404
61523010101320
7204435204240
oct36671243460
911620278113
104142221104
1118361a302a
1297727a840
13510228a08
142b41b5b20
151939b9b89
hexf6e54730

4142221104 has 80 divisors (see below), whose sum is σ = 12429958400. Its totient is φ = 1164084480.

The previous prime is 4142221093. The next prime is 4142221189. The reversal of 4142221104 is 4011222414.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80554 + ... + 121545.

It is an arithmetic number, because the mean of its divisors is an integer number (155374480).

Almost surely, 24142221104 is an apocalyptic number.

It is an amenable number.

4142221104 is an abundant number, since it is smaller than the sum of its proper divisors (8287737296).

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

4142221104 is a wasteful number, since it uses less digits than its factorization.

4142221104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202178 (or 202172 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4142221104 is about 64360.0893722189. The cubic root of 4142221104 is about 1605.9958757707.

Adding to 4142221104 its reverse (4011222414), we get a palindrome (8153443518).

It can be divided in two parts, 41422 and 21104, that added together give a palindrome (62526).

The spelling of 4142221104 in words is "four billion, one hundred forty-two million, two hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 732 854 976 1281 1464 1708 2562 2928 3416 5124 6832 10248 20496 202099 404198 606297 808396 1212594 1414693 1616792 2425188 2829386 3233584 4244079 4850376 5658772 8488158 9700752 11317544 12328039 16976316 22635088 24656078 33952632 36984117 49312156 67905264 73968234 86296273 98624312 147936468 172592546 197248624 258888819 295872936 345185092 517777638 591745872 690370184 1035555276 1380740368 2071110552 4142221104