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42240114 = 23271372447
BaseRepresentation
bin1010000100100…
…0100001110010
32221111000112200
42201020201302
541303140424
64105204030
71022015010
oct241104162
987430480
1042240114
1121930694
1212190616
13899c367
1458778b0
153a958c9
hex2848872

42240114 has 48 divisors (see below), whose sum is σ = 105401088. Its totient is φ = 11975616.

The previous prime is 42240109. The next prime is 42240131. The reversal of 42240114 is 41104224.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16039 + ... + 18485.

It is an arithmetic number, because the mean of its divisors is an integer number (2195856).

Almost surely, 242240114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42240114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52700544).

42240114 is an abundant number, since it is smaller than the sum of its proper divisors (63160974).

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

42240114 is a wasteful number, since it uses less digits than its factorization.

42240114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42240114 is about 6499.2394939716. The cubic root of 42240114 is about 348.2638209519.

Adding to 42240114 its reverse (41104224), we get a palindrome (83344338).

The spelling of 42240114 in words is "forty-two million, two hundred forty thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 137 274 411 822 959 1233 1918 2447 2466 2877 4894 5754 7341 8631 14682 17129 17262 22023 34258 44046 51387 102774 154161 308322 335239 670478 1005717 2011434 2346673 3017151 4693346 6034302 7040019 14080038 21120057 42240114