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414140031 = 32103446753
BaseRepresentation
bin11000101011110…
…100011001111111
31001212021111022200
4120223310121333
51322004440111
6105032242543
713156063224
oct3053643177
91055244280
10414140031
111a2853598
12b6840453
1367a52696
143d00594b
1526558256
hex18af467f

414140031 has 12 divisors (see below), whose sum is σ = 604011408. Its totient is φ = 273412224.

The previous prime is 414140021. The next prime is 414140033. The reversal of 414140031 is 130041414.

It is not a de Polignac number, because 414140031 - 210 = 414139007 is a prime.

It is a super-2 number, since 2×4141400312 = 343023930553361922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414139986 and 414140013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414140033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222450 + ... + 224303.

It is an arithmetic number, because the mean of its divisors is an integer number (50334284).

Almost surely, 2414140031 is an apocalyptic number.

414140031 is a deficient number, since it is larger than the sum of its proper divisors (189871377).

414140031 is a wasteful number, since it uses less digits than its factorization.

414140031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446862 (or 446859 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 414140031 is about 20350.4307325422. The cubic root of 414140031 is about 745.3880122244.

Adding to 414140031 its reverse (130041414), we get a palindrome (544181445).

The spelling of 414140031 in words is "four hundred fourteen million, one hundred forty thousand, thirty-one".

Divisors: 1 3 9 103 309 927 446753 1340259 4020777 46015559 138046677 414140031