Search a number
-
+
41342024214 = 2334189209809
BaseRepresentation
bin100110100000001011…
…010011101000010110
310221201012022102122000
4212200023103220112
51134132024233324
630554155020130
72662331256561
oct464013235026
9127635272560
1041342024214
1116595549767
12801943a646
133b8b11252a
14200290b4d8
15111e7289c9
hex9a02d3a16

41342024214 has 64 divisors (see below), whose sum is σ = 95169816000. Its totient is φ = 13293434880.

The previous prime is 41342024167. The next prime is 41342024219. The reversal of 41342024214 is 41242024314.

41342024214 is a `hidden beast` number, since 4 + 1 + 3 + 420 + 24 + 214 = 666.

It is a super-2 number, since 2×413420242142 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41342024219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92142 + ... + 301950.

It is an arithmetic number, because the mean of its divisors is an integer number (1487028375).

Almost surely, 241342024214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41342024214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47584908000).

41342024214 is an abundant number, since it is smaller than the sum of its proper divisors (53827791786).

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

41342024214 is a wasteful number, since it uses less digits than its factorization.

41342024214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209950 (or 209944 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 41342024214 its reverse (41242024314), we get a palindrome (82584048528).

The spelling of 41342024214 in words is "forty-one billion, three hundred forty-two million, twenty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 82 89 123 178 246 267 369 534 738 801 1107 1602 2214 2403 3649 4806 7298 10947 21894 32841 65682 98523 197046 209809 419618 629427 1258854 1888281 3776562 5664843 8602169 11329686 17204338 18673001 25806507 37346002 51613014 56019003 77419521 112038006 154839042 168057009 232258563 336114018 464517126 504171027 765593041 1008342054 1531186082 2296779123 4593558246 6890337369 13780674738 20671012107 41342024214