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4142254005 = 335295979227
BaseRepresentation
bin1111011011100101…
…1100011110110101
3101200200101022021000
43312321130132311
531440404112010
61523010513513
7204435402201
oct36671343665
911620338230
104142254005
11183621581a
12977295899
1351023a996
142b41c3b01
151939c47c0
hexf6e5c7b5

4142254005 has 128 divisors (see below), whose sum is σ = 7879680000. Its totient is φ = 2061206784.

The previous prime is 4142254001. The next prime is 4142254009. The reversal of 4142254005 is 5004522414.

It is an interprime number because it is at equal distance from previous prime (4142254001) and next prime (4142254009).

It is not a de Polignac number, because 4142254005 - 22 = 4142254001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4142254005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142254001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18247702 + ... + 18247928.

It is an arithmetic number, because the mean of its divisors is an integer number (61560000).

Almost surely, 24142254005 is an apocalyptic number.

4142254005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4142254005 is a deficient number, since it is larger than the sum of its proper divisors (3737425995).

4142254005 is a wasteful number, since it uses less digits than its factorization.

4142254005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 4142254005 is about 64360.3449726615. The cubic root of 4142254005 is about 1606.0001278156. Note that the first 3 decimals are identical.

Adding to 4142254005 its reverse (5004522414), we get a palindrome (9146776419).

The spelling of 4142254005 in words is "four billion, one hundred forty-two million, two hundred fifty-four thousand, five".

Divisors: 1 3 5 9 15 27 29 45 59 79 87 135 145 177 227 237 261 295 395 435 531 681 711 783 885 1135 1185 1305 1593 1711 2043 2133 2291 2655 3405 3555 3915 4661 5133 6129 6583 6873 7965 8555 10215 10665 11455 13393 13983 15399 17933 19749 20619 23305 25665 30645 32915 34365 40179 41949 46197 53799 59247 61857 66965 69915 76995 89665 98745 103095 120537 125847 135169 161397 177741 200895 209745 230985 268995 296235 309285 361611 388397 405507 484191 520057 602685 629235 675845 806985 888705 1058047 1165191 1216521 1560171 1808055 1941985 2027535 2420955 2600285 3174141 3495573 3649563 4680513 5290235 5825955 6082605 7800855 9522423 10486719 14041539 15870705 17477865 18247815 23402565 28567269 30683363 47612115 52433595 70207695 92050089 142836345 153416815 276150267 460250445 828450801 1380751335 4142254005