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414235125 = 3253438563
BaseRepresentation
bin11000101100001…
…011100111110101
31001212110022202200
4120230023213311
51322021011000
6105034255113
713156640403
oct3054134765
91055408680
10414235125
111a2908a87
12b6887499
1367a86a55
143d02c473
1526576500
hex18b0b9f5

414235125 has 48 divisors (see below), whose sum is σ = 764182848. Its totient is φ = 215762400.

The previous prime is 414235099. The next prime is 414235127. The reversal of 414235125 is 521532414.

414235125 is a `hidden beast` number, since 4 + 142 + 3 + 512 + 5 = 666.

It is not a de Polignac number, because 414235125 - 210 = 414234101 is a prime.

It is a super-3 number, since 3×4142351253 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414235127) 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, 44094 + ... + 52656.

It is an arithmetic number, because the mean of its divisors is an integer number (15920476).

Almost surely, 2414235125 is an apocalyptic number.

414235125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414235125 is a deficient number, since it is larger than the sum of its proper divisors (349947723).

414235125 is a wasteful number, since it uses less digits than its factorization.

414235125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8627 (or 8614 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 414235125 is about 20352.7670109005. The cubic root of 414235125 is about 745.4450593564.

Adding to 414235125 its reverse (521532414), we get a palindrome (935767539).

The spelling of 414235125 in words is "four hundred fourteen million, two hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 43 45 75 125 129 215 225 375 387 645 1075 1125 1935 3225 5375 8563 9675 16125 25689 42815 48375 77067 128445 214075 368209 385335 642225 1070375 1104627 1841045 1926675 3211125 3313881 5523135 9205225 9633375 16569405 27615675 46026125 82847025 138078375 414235125