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414140025 = 352132331823
BaseRepresentation
bin11000101011110…
…100011001111001
31001212021111022110
4120223310121321
51322004440100
6105032242533
713156063215
oct3053643171
91055244273
10414140025
111a2853592
12b6840449
1367a52690
143d005945
1526558250
hex18af4679

414140025 has 48 divisors (see below), whose sum is σ = 740952576. Its totient is φ = 202897920.

The previous prime is 414140021. The next prime is 414140033. The reversal of 414140025 is 520041414.

It is a happy number.

It is not a de Polignac number, because 414140025 - 22 = 414140021 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 414139983 and 414140010.

It is not an unprimeable number, because it can be changed into a prime (414140021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226264 + ... + 228086.

It is an arithmetic number, because the mean of its divisors is an integer number (15436512).

Almost surely, 2414140025 is an apocalyptic number.

It is an amenable number.

414140025 is a deficient number, since it is larger than the sum of its proper divisors (326812551).

414140025 is a wasteful number, since it uses less digits than its factorization.

414140025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 414140025 is about 20350.4305851252. The cubic root of 414140025 is about 745.3880086247.

Adding to 414140025 its reverse (520041414), we get a palindrome (934181439).

The spelling of 414140025 in words is "four hundred fourteen million, one hundred forty thousand, twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 195 233 325 699 975 1165 1823 3029 3495 5469 5825 9087 9115 15145 17475 23699 27345 45435 45575 71097 75725 118495 136725 227175 355485 424759 592475 1274277 1777425 2123795 5521867 6371385 10618975 16565601 27609335 31856925 82828005 138046675 414140025