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42114321 = 3217409673
BaseRepresentation
bin1010000010100…
…1110100010001
32221020121222200
42200221310101
541240124241
64102353413
71020652164
oct240516421
987217880
1042114321
1121855127
121212b869
138957022
145843adb
153a6d4b6
hex2829d11

42114321 has 24 divisors (see below), whose sum is σ = 64663560. Its totient is φ = 26320896.

The previous prime is 42114301. The next prime is 42114323. The reversal of 42114321 is 12341124.

It can be written as a sum of positive squares in 4 ways, for example, as 17313921 + 24800400 = 4161^2 + 4980^2 .

It is not a de Polignac number, because 42114321 - 218 = 41852177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42114294 and 42114303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42114323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62241 + ... + 62913.

It is an arithmetic number, because the mean of its divisors is an integer number (2694315).

Almost surely, 242114321 is an apocalyptic number.

It is an amenable number.

42114321 is a deficient number, since it is larger than the sum of its proper divisors (22549239).

42114321 is a wasteful number, since it uses less digits than its factorization.

42114321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1102 counting only the distinct ones).

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

The square root of 42114321 is about 6489.5547613068. The cubic root of 42114321 is about 347.9177619784.

Adding to 42114321 its reverse (12341124), we get a palindrome (54455445).

The spelling of 42114321 in words is "forty-two million, one hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 153 409 673 1227 2019 3681 6057 6953 11441 20859 34323 62577 102969 275257 825771 2477313 4679369 14038107 42114321