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241134431142 = 231136371004551
BaseRepresentation
bin1110000010010010111…
…0110110101110100110
3212001102001222021222010
43200210232312232212
512422320403244032
6302435311415050
723264351563143
oct3404456665646
9761361867863
10241134431142
11932a0111140
123a897524486
131997b419267
14b9571d13ca
156414843ccc
hex3824bb6ba6

241134431142 has 32 divisors (see below), whose sum is σ = 526256665344. Its totient is φ = 73050876000.

The previous prime is 241134431141. The next prime is 241134431143.

It is a happy number.

241134431142 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (241134431141) and next prime (241134431143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241134431141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262234 + ... + 742317.

It is an arithmetic number, because the mean of its divisors is an integer number (16445520792).

Almost surely, 2241134431142 is an apocalyptic number.

241134431142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241134431142 is an abundant number, since it is smaller than the sum of its proper divisors (285122234202).

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

241134431142 is a wasteful number, since it uses less digits than its factorization.

241134431142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008204.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 241134 and 431142, that added together give a palindrome (672276).

The spelling of 241134431142 in words is "two hundred forty-one billion, one hundred thirty-four million, four hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 3637 7274 10911 21822 40007 80014 120021 240042 1004551 2009102 3013653 6027306 11050061 22100122 33150183 66300366 3653551987 7307103974 10960655961 21921311922 40189071857 80378143714 120567215571 241134431142