Search a number
-
+
34414141110 = 2351497698913
BaseRepresentation
bin100000000011001111…
…100001111010110110
310021211101021111121220
4200003033201322312
51030440010003420
623450514251210
72325546241626
oct400317417266
9107741244556
1034414141110
111365a981638
126805286b06
133325a3980b
1419467a4886
15d66407840
hex8033e1eb6

34414141110 has 32 divisors (see below), whose sum is σ = 83148271200. Its totient is φ = 9115511808.

The previous prime is 34414141079. The next prime is 34414141133. The reversal of 34414141110 is 1114141443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3844987 + ... + 3853926.

It is an arithmetic number, because the mean of its divisors is an integer number (2598383475).

Almost surely, 234414141110 is an apocalyptic number.

34414141110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34414141110 is an abundant number, since it is smaller than the sum of its proper divisors (48734130090).

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

34414141110 is a wasteful number, since it uses less digits than its factorization.

34414141110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7699072.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 34414141110 its reverse (1114141443), we get a palindrome (35528282553).

The spelling of 34414141110 in words is "thirty-four billion, four hundred fourteen million, one hundred forty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 149 298 447 745 894 1490 2235 4470 7698913 15397826 23096739 38494565 46193478 76989130 115483695 230967390 1147138037 2294276074 3441414111 5735690185 6882828222 11471380370 17207070555 34414141110