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4014214425 = 3252136412141
BaseRepresentation
bin1110111101000100…
…0000110100011001
3101100202110012222100
43233101000310121
531210114330200
61502154314013
7201322155024
oct35721006431
911322405870
104014214425
11177aa12791
12940428909
134bc85a610
142a11b41bb
15187631d00
hexef440d19

4014214425 has 72 divisors (see below), whose sum is σ = 7758675288. Its totient is φ = 1972224000.

The previous prime is 4014214411. The next prime is 4014214433. The reversal of 4014214425 is 5244124104.

4014214425 is a `hidden beast` number, since 401 + 4 + 214 + 42 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 176783616 + 3837430809 = 13296^2 + 61947^2 .

It is not a de Polignac number, because 4014214425 - 27 = 4014214297 is a prime.

It is a super-2 number, since 2×40142144252 = 32227834899756161250, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1873855 + ... + 1875995.

It is an arithmetic number, because the mean of its divisors is an integer number (107759379).

Almost surely, 24014214425 is an apocalyptic number.

4014214425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4014214425 is a deficient number, since it is larger than the sum of its proper divisors (3744460863).

4014214425 is a wasteful number, since it uses less digits than its factorization.

4014214425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4014214425 is about 63357.8284429004. The cubic root of 4014214425 is about 1589.2791618008.

Adding to 4014214425 its reverse (5244124104), we get a palindrome (9258338529).

The spelling of 4014214425 in words is "four billion, fourteen million, two hundred fourteen thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 641 975 1923 2141 2925 3205 5769 6423 8333 9615 10705 16025 19269 24999 27833 28845 32115 41665 48075 53525 74997 83499 96345 124995 139165 144225 160575 208325 250497 374985 417495 481725 624975 695825 1252485 1372381 1874925 2087475 4117143 6262425 6861905 12351429 17840953 20585715 34309525 53522859 61757145 89204765 102928575 160568577 267614295 308785725 446023825 802842885 1338071475 4014214425