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414111412225 = 5273851614477
BaseRepresentation
bin1100000011010101111…
…01101011000000000001
31110120220010200101102001
412001222331223000001
523241100010142400
6514123512424001
741630031632350
oct6015275530001
91416803611361
10414111412225
1114a695107255
12683110a8001
13300870582c4
141608639b997
15ab8a6d7a6a
hex606af6b001

414111412225 has 24 divisors (see below), whose sum is σ = 587008375488. Its totient is φ = 283887912000.

The previous prime is 414111412213. The next prime is 414111412241. The reversal of 414111412225 is 522214111414.

It is not a de Polignac number, because 414111412225 - 219 = 414110887937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414111412193 and 414111412202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366687 + ... + 981163.

It is an arithmetic number, because the mean of its divisors is an integer number (24458682312).

Almost surely, 2414111412225 is an apocalyptic number.

It is an amenable number.

414111412225 is a deficient number, since it is larger than the sum of its proper divisors (172896963263).

414111412225 is a wasteful number, since it uses less digits than its factorization.

414111412225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618345 (or 618340 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

Adding to 414111412225 its reverse (522214111414), we get a palindrome (936325523639).

The spelling of 414111412225 in words is "four hundred fourteen billion, one hundred eleven million, four hundred twelve thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 175 3851 19255 26957 96275 134785 614477 673925 3072385 4301339 15361925 21506695 107533475 2366350927 11831754635 16564456489 59158773175 82822282445 414111412225