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42114114 = 2337432591
BaseRepresentation
bin1010000010100…
…1110001000010
32221020121201000
42200221301002
541240122424
64102352430
71020651450
oct240516102
987217630
1042114114
1121854a59
121212b716
138956bc3
1458439d0
153a6d3c9
hex2829c42

42114114 has 64 divisors (see below), whose sum is σ = 109486080. Its totient is φ = 11748240.

The previous prime is 42114091. The next prime is 42114131. The reversal of 42114114 is 41141124.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14959 + ... + 17549.

It is an arithmetic number, because the mean of its divisors is an integer number (1710720).

Almost surely, 242114114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42114114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54743040).

42114114 is an abundant number, since it is smaller than the sum of its proper divisors (67371966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42114114 is a wasteful number, since it uses less digits than its factorization.

42114114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2646 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 42114114 is about 6489.5388125814. The cubic root of 42114114 is about 347.9171919498.

Adding to 42114114 its reverse (41141124), we get a palindrome (83255238).

It can be divided in two parts, 421 and 14114, that added together give a triangular number (14535 = T170).

The spelling of 42114114 in words is "forty-two million, one hundred fourteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 189 258 301 378 387 602 774 903 1161 1806 2322 2591 2709 5182 5418 7773 8127 15546 16254 18137 23319 36274 46638 54411 69957 108822 111413 139914 163233 222826 326466 334239 489699 668478 779891 979398 1002717 1559782 2005434 2339673 3008151 4679346 6016302 7019019 14038038 21057057 42114114