Search a number
-
+
2334113113014 = 232823259160811
BaseRepresentation
bin100001111101110011111…
…110111010001110110110
322021010202100121120102100
4201331303332322032312
5301220230424104024
64544135440322530
7330430333051404
oct41756376721666
98233670546370
102334113113014
1181a98a002871
12318449913446
1313c14b931a47
1480d863d6474
1540ab04307c9
hex21f73fba3b6

2334113113014 has 48 divisors (see below), whose sum is σ = 5065427487744. Its totient is φ = 776779642800.

The previous prime is 2334113112959. The next prime is 2334113113019. The reversal of 2334113113014 is 4103113114332.

2334113113014 is a `hidden beast` number, since 2 + 3 + 3 + 41 + 1 + 311 + 301 + 4 = 666.

It is a super-3 number, since 3×23341131130143 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334113113019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38352669 + ... + 38413479.

It is an arithmetic number, because the mean of its divisors is an integer number (105529739328).

Almost surely, 22334113113014 is an apocalyptic number.

2334113113014 is an abundant number, since it is smaller than the sum of its proper divisors (2731314374730).

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

2334113113014 is a wasteful number, since it uses less digits than its factorization.

2334113113014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64233 (or 64230 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 2334113113014 its reverse (4103113114332), we get a palindrome (6437226227346).

The spelling of 2334113113014 in words is "two trillion, three hundred thirty-four billion, one hundred thirteen million, one hundred thirteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 823 1646 2469 2591 4938 5182 7407 7773 14814 15546 23319 46638 60811 121622 182433 364866 547299 1094598 2132393 4264786 6397179 12794358 19191537 38383074 50047453 100094906 150142359 157561301 300284718 315122602 450427077 472683903 900854154 945367806 1418051709 2836103418 129672950723 259345901446 389018852169 778037704338 1167056556507 2334113113014