Search a number
-
+
411414042 = 231317218251
BaseRepresentation
bin11000100001011…
…010111000011010
31001200010222222010
4120201122320122
51320310222132
6104454010350
713123650564
oct3041327032
91050128863
10411414042
111a1261506
12b59469b6
1367309980
143c8d6334
15261ba6cc
hex1885ae1a

411414042 has 48 divisors (see below), whose sum is σ = 941365152. Its totient is φ = 119136000.

The previous prime is 411414013. The next prime is 411414061. The reversal of 411414042 is 240414114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13417 + ... + 31667.

It is an arithmetic number, because the mean of its divisors is an integer number (19611774).

Almost surely, 2411414042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411414042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470682576).

411414042 is an abundant number, since it is smaller than the sum of its proper divisors (529951110).

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

411414042 is a wasteful number, since it uses less digits than its factorization.

411414042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18303 (or 18286 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 411414042 is about 20283.3439550780. The cubic root of 411414042 is about 743.7489578217.

Adding to 411414042 its reverse (240414114), we get a palindrome (651828156).

The spelling of 411414042 in words is "four hundred eleven million, four hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 289 442 578 663 867 1326 1734 3757 7514 11271 18251 22542 36502 54753 109506 237263 310267 474526 620534 711789 930801 1423578 1861602 4033471 5274539 8066942 10549078 12100413 15823617 24200826 31647234 68569007 137138014 205707021 411414042