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414430125 = 3537315139
BaseRepresentation
bin11000101100111…
…011001110101101
31001212211020020220
4120230323032231
51322043231000
6105042401553
713161412044
oct3054731655
91055736226
10414430125
111a2a3153a
12b69602b9
1367b24735
143d07d55b
15265b41a0
hex18b3b3ad

414430125 has 32 divisors (see below), whose sum is σ = 699104640. Its totient is φ = 217987200.

The previous prime is 414430117. The next prime is 414430139. The reversal of 414430125 is 521034414.

It is not a de Polignac number, because 414430125 - 23 = 414430117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414430095 and 414430104.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 19806 + ... + 34944.

It is an arithmetic number, because the mean of its divisors is an integer number (21847020).

Almost surely, 2414430125 is an apocalyptic number.

It is an amenable number.

414430125 is a deficient number, since it is larger than the sum of its proper divisors (284674515).

414430125 is a wasteful number, since it uses less digits than its factorization.

414430125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15230 (or 15220 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 414430125 is about 20357.5569506756. The cubic root of 414430125 is about 745.5620130495.

Adding to 414430125 its reverse (521034414), we get a palindrome (935464539).

The spelling of 414430125 in words is "four hundred fourteen million, four hundred thirty thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 73 75 125 219 365 375 1095 1825 5475 9125 15139 27375 45417 75695 227085 378475 1105147 1135425 1892375 3315441 5525735 5677125 16577205 27628675 82886025 138143375 414430125