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414224422414 = 211217091001563
BaseRepresentation
bin1100000011100011011…
…00110001011000001110
31110121012000022220020121
412001301230301120032
523241312423004124
6514143030535154
741632603332205
oct6016154613016
91417160286217
10414224422414
1114a742984500
1268342b074ba
13300a45a583a
14160973b823c
15ab955ac2e4
hex6071b3160e

414224422414 has 24 divisors (see below), whose sum is σ = 683357101560. Its totient is φ = 188173468560.

The previous prime is 414224422399. The next prime is 414224422463.

414224422414 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 414224422414.

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 11 ways as a sum of consecutive naturals, for example, 87204 + ... + 914359.

It is an arithmetic number, because the mean of its divisors is an integer number (28473212565).

Almost surely, 2414224422414 is an apocalyptic number.

414224422414 is a deficient number, since it is larger than the sum of its proper divisors (269132679146).

414224422414 is a wasteful number, since it uses less digits than its factorization.

414224422414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003296 (or 1003285 counting only the distinct ones).

The product of its digits is 65536, while the sum is 34.

It can be divided in two parts, 414224 and 422414, that added together give a palindrome (836638).

The spelling of 414224422414 in words is "four hundred fourteen billion, two hundred twenty-four million, four hundred twenty-two thousand, four hundred fourteen".

Divisors: 1 2 11 22 121 242 1709 3418 18799 37598 206789 413578 1001563 2003126 11017193 22034386 121189123 242378246 1711671167 3423342334 18828382837 37656765674 207112211207 414224422414