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416142321 = 37101196201
BaseRepresentation
bin11000110011011…
…101001111110001
31002000001012221120
4120303131033301
51323013023241
6105143212453
713212102630
oct3063351761
91060035846
10416142321
111a39a0981
12b7447129
13682a3b7a
143d3a7517
1526801666
hex18cdd3f1

416142321 has 16 divisors (see below), whose sum is σ = 640403328. Its totient is φ = 235440000.

The previous prime is 416142317. The next prime is 416142323. The reversal of 416142321 is 123241614.

It is not a de Polignac number, because 416142321 - 22 = 416142317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 416142291 and 416142300.

It is not an unprimeable number, because it can be changed into a prime (416142323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 95980 + ... + 100221.

It is an arithmetic number, because the mean of its divisors is an integer number (40025208).

Almost surely, 2416142321 is an apocalyptic number.

It is an amenable number.

416142321 is a deficient number, since it is larger than the sum of its proper divisors (224261007).

416142321 is a wasteful number, since it uses less digits than its factorization.

416142321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196312.

The product of its digits is 1152, while the sum is 24.

The square root of 416142321 is about 20399.5666865745. The cubic root of 416142321 is about 746.5873522212.

Adding to 416142321 its reverse (123241614), we get a palindrome (539383935).

The spelling of 416142321 in words is "four hundred sixteen million, one hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 21 101 303 707 2121 196201 588603 1373407 4120221 19816301 59448903 138714107 416142321