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431414125 = 539833511
BaseRepresentation
bin11001101101101…
…101101101101101
31010001210002220221
4121231231231231
51340420223000
6110450411341
713455650062
oct3155555555
91101702827
10431414125
112015818aa
12100590b51
136b4c013c
1441420c69
1527d1b61a
hex19b6db6d

431414125 has 16 divisors (see below), whose sum is σ = 539106048. Its totient is φ = 344682000.

The previous prime is 431414119. The next prime is 431414129. The reversal of 431414125 is 521414134.

It is a de Polignac number, because none of the positive numbers 2k-431414125 is a prime.

It is a super-2 number, since 2×4314141252 = 372236294499031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 431414125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431414129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121120 + ... + 124630.

It is an arithmetic number, because the mean of its divisors is an integer number (33694128).

Almost surely, 2431414125 is an apocalyptic number.

It is an amenable number.

431414125 is a deficient number, since it is larger than the sum of its proper divisors (107691923).

431414125 is an equidigital number, since it uses as much as digits as its factorization.

431414125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4499 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 431414125 is about 20770.5109470133. The cubic root of 431414125 is about 755.6107363301.

Adding to 431414125 its reverse (521414134), we get a palindrome (952828259).

Subtracting 431414125 from its reverse (521414134), we obtain a palindrome (90000009).

The spelling of 431414125 in words is "four hundred thirty-one million, four hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 5 25 125 983 3511 4915 17555 24575 87775 122875 438875 3451313 17256565 86282825 431414125