Search a number
-
+
14141010 = 23513101359
BaseRepresentation
bin110101111100…
…011001010010
3222121102211010
4311330121102
512110003020
61223031350
7231124302
oct65743122
928542733
1014141010
117a89394
12489b556
132c11680
141c41602
151394de0
hexd7c652

14141010 has 64 divisors (see below), whose sum is σ = 37013760. Its totient is φ = 3436800.

The previous prime is 14140981. The next prime is 14141041. The reversal of 14141010 is 1014141.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 39211 + ... + 39569.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 214141010 is an apocalyptic number.

14141010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14141010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880).

14141010 is an abundant number, since it is smaller than the sum of its proper divisors (22872750).

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

14141010 is a wasteful number, since it uses less digits than its factorization.

14141010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 14141010 is about 3760.4534301065. The cubic root of 14141010 is about 241.8207013769.

Adding to 14141010 its reverse (1014141), we get a palindrome (15155151).

The spelling of 14141010 in words is "fourteen million, one hundred forty-one thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 101 130 195 202 303 359 390 505 606 718 1010 1077 1313 1515 1795 2154 2626 3030 3590 3939 4667 5385 6565 7878 9334 10770 13130 14001 19695 23335 28002 36259 39390 46670 70005 72518 108777 140010 181295 217554 362590 471367 543885 942734 1087770 1414101 2356835 2828202 4713670 7070505 14141010